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Chap 6 - Flying Circus of Physics

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Optics 1<strong>Chap</strong>ter 6Splashing colors everywhere, like a rainbow(optics)Here are the references and web links for the stories in the book. Recently added references arehighlighted. For updates to those stories and for all the new stories, go tohttp://www.flyingcircus<strong>of</strong>physics.com/News/NewsDetail.aspx?NewsID=42June 20126.1 RainbowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Photos and discussionshttp://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://atmospherical.blogspot.com/search?updated-min=2006-01-01T00%3A00%3A00Z&updatedmax=2007-01-01T00%3A00%3A00Z&max-results=50Blog devoted to photos <strong>of</strong> atmospheric phenomenahttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.Videos:http://www.youtube.com/watch?v=z3iOjTqFGWY&mode=related&search= Double rainbows pluslightninghttp://www.youtube.com/watch?v=ZmVuO-qQOn8 Primary rainbow plus faint secondary bowhttp://www.youtube.com/watch?v=cylV9Lp9fuM&mode=related&search= Double rainbowReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Neuberger, N., "A rainbow in a cirrus sky in winter," Bulletin <strong>of</strong> the American Meteorological Society, 26,211 (1945) Boyer, C. B., "Kepler's explanation <strong>of</strong> the rainbow," American Journal <strong>of</strong> <strong>Physics</strong>, 18, 360-366 (1950) Walker, D., "A rainbow and supernumeraries with graduated separations," Weather, 5, 324-325 (1950) Kangieser, P. C., "Refraction phenomena affecting ceilometer observations," Monthly Weather Review,78, 211-216 (1950) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 174-190 Malkus, W. V. R., "Rainbows and cloudbows," Weather, 10, 331-335 (1955) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, page 177 Van de Hulst, H. C., Light Scattering by Small Particles, Wiley, 1957, <strong>Chap</strong>ter 13 Boyer, C. B., The Rainbow from Myth to Mathematics, Thomas Yosel<strong>of</strong>f, New York, 1959 McDonald, J. E., "Caustic <strong>of</strong> the primary rainbow," American Journal <strong>of</strong> <strong>Physics</strong>, 31, 282-284 (1963) Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, <strong>Chap</strong>ter 4 Querfeld, C. W., "Mie atmospheric optics," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 55, 105-106(1965) Rosch, S., "Der Regenbogen in Wissenschaft und Kunst," Applied Optics, 7, 233-239 (1968)


Optics 2 Nussenzveig, H. N., "High-frequency scattering by a transparent sphere. II. Theory <strong>of</strong> the rainbow andthe glory," Journal <strong>of</strong> Mathematical <strong>Physics</strong>, 10, 125-176 (1969) Dave, J. V., "Scattering <strong>of</strong> visible light by large water spheres," Applied Optics, 8, 155-164 (1969) Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, chapters 3 and 6 Liou, K., and J. E. Hansen, "Intensity and polarization for single scattering by polydisperse spheres: acomparison <strong>of</strong> ray optics and Mie theory," Journal <strong>of</strong> the Atmospheric Sciences, 28, 995-1004 (1971) Larmore, L., and F. F. Hall Jr., "Optics for the airborne observer," The Journal <strong>of</strong> the Society <strong>of</strong> Photo-Optical Instrumentation Engineers, 9, 87-94 (February/March 1971) Mason, E. A., R. J. Munn, and F. J. Smith, "Rainbows and glories in molecular scattering," Endeavor, 30,91-96 (1971) Fraser, A. B., "Inhomogeneities in the color and intensity <strong>of</strong> the rainbow," Journal <strong>of</strong> the AtmosphericSciences, 29, 211-212 (1972) Patitsas, A. J., "Rainbows, glories, and the scalar field approach," Canadian Journal <strong>of</strong> <strong>Physics</strong>, 50,3172-3183 (1972) Khare, V., and H. M. Nussenzveig, "Theory <strong>of</strong> the rainbow," Physical Review Letters, 33, 976-980(1974) Whitaker, R. J., "<strong>Physics</strong> <strong>of</strong> the rainbow," The <strong>Physics</strong> Teacher, 12, 283-286 (1974) Graham, G. R., "Polarization <strong>of</strong> rainbows," <strong>Physics</strong> Education, 10, 50-51 (1975) White, R., (letter) "Remarkable rainbow at Woodford Green," Journal <strong>of</strong> Meteorology, 1, 69 (1975/76) Walker, J., "Multiple rainbows from single drops <strong>of</strong> water and other liquids," American Journal <strong>of</strong><strong>Physics</strong>, 44, 421-433 (1976), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Brockman Jr., C. L., and N. G. Alexopoulos, "Geometrical optics <strong>of</strong> inhomogeneous particles: glory rayand the rainbow revisited," Applied Optics, 16, 166-174 (1977) Nussenzveig, H. M., "The theory <strong>of</strong> the rainbow," Scientific American, 236, 116-127 + 148 (April 1977) Walker, J., "How to create and observe a dozen rainbows in a single drop <strong>of</strong> water" in "The AmateurScientist," Scientific American, 237, 138-144 + 154 (July 1977) Walker, J., "The Amateur Scientist," Scientific American, 239, 179-187 (October 1978); see pp 185-187 Konnen, G. P., and J. H. de Boer, "Polarized rainbow," Applied Optics, 18, 1961-1965 (1979), containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Nussenzveig, H. M., "Complex angular momentum theory <strong>of</strong> the rainbow and the glory," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 69, 1068-1079 + Plates 107 and 108 (1979), contained on Classic Reprints onCD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L.Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Mobbs, S. D., "Theory <strong>of</strong> the rainbow," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1089-1092(1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, <strong>Chap</strong>ter 1 Walker, J., "Mysteries <strong>of</strong> rainbows, notably their rare supernumerary arcs" in "The Amateur Scientist,"Scientific American, 242, 174-184 + 186 (June 1980) Marston, P. L., "Rainbow phenomena and the detection <strong>of</strong> nonsphericity in drops," Applied Optics, 19,680-685 (1980) Gedzelman, S. D., "Visibility <strong>of</strong> halos and rainbows," Applied Optics, 19, 3068-3074 (1980), containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Schaefer, V. J., and J. A. Day, A Field Guide to the Atmosphere, Houghton Mifflin, 1981, pages 162-164


Optics 3 White, R., "Visibility <strong>of</strong> halos and rainbows: comment," Applied Optics, 20, 1730 (1981) Bishop, R. L., "Rainbow over Woolsthorpe Manor," Notes and Records <strong>of</strong> the Royal Society <strong>of</strong> London,36, 3-11 (August 1981) Gedzelman, S. D., "Rainbow brightness," Applied Optics, 21, 3032-3037 (1982), contained on ClassicReprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Greenslade Jr., T. B., "The rainbow," The <strong>Physics</strong> Teacher, 20, 463 (1982) Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, <strong>Chap</strong>ter 1 Fraser, A. B., "Chasing rainbows," Weatherwise, 36, 280-287 (1983) Schlatter, T., "What causes a double rainbow?" Weatherwise, 36, 140-142 (1983) Fraser, A. B., "Why can the supernumerary bows be seen in a rain shower?" Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 73, 1626-1628 + plate I (1983), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 6-39 Pedgley, D. E., (letter) "A tertiary rainbow," Weather, 41, 401 (1986) Konnen, G. P., "Appearance <strong>of</strong> supernumeraries <strong>of</strong> the secondary rainbow in rain showers," Journal <strong>of</strong>the Optical Society <strong>of</strong> America A, 4, 810-816 (1987), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987, pages171-185; now available from Dover Publications, ISBN 0486417387 Gedzelman, S. D., "Rainbows in strong vertical atmospheric electric fields," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America A, 5, 1717-1721 (1988) Austin, J. D., and F. B. Dunning, "Mathematics <strong>of</strong> the rainbow," The Mathematics Teacher, 81, 484-488(1988) Lock, J. A., "Observability <strong>of</strong> atmospheric glories and supernumerary rainbows," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America A, 6, 1924-1930 (1989) Beard, K. V., H. T. Ochs III, and R. J. Kubesh, "Natural oscillations <strong>of</strong> small raindrops," Nature, 342, 408-410 (1989) Wilk, S. R., (letter) Science News, 137, 302 (1990) Tan, A., and T. King, "Solar zenith and local time from a rainbow," The <strong>Physics</strong> Teacher, 28, 224-225(1990) Olson, D., C. Brozovich, J. Carr, H. Hatton, G. Miles Jr., and G. Zwicke, "Monte Carlo computersimulation <strong>of</strong> a rainbow," The <strong>Physics</strong> Teacher, 28, 226-227 (1990) Lee, R., and A. Fraser, "The light at the end <strong>of</strong> the rainbow," New Scientist, 127, 40-44 (1 September1990) Peterson, I., “Shaking raindrops was out rainbows,” Science News, 137, 4 (6 January 1990) Schaller, A., (letter) “Rainbow phenomena” Science News, 137, 179 (24 March 1990) Floor, C., "The rainbow in the class-room <strong>of</strong> the primary school," Weather, 46, 281-284 (1991) Wang, R. T., and H. C. van de Hulst, "Rainbows: Mie computations and the Airy approximation,"Applied Optics, 30, 106-117 (1991) Lee Jr., R. L., "What are 'all the colors <strong>of</strong> the rainbow'?" Applied Optics, 30, 3401-3407 (1991), containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4


Optics 4 Lynch, D. K., and P. Schwartz, "Rainbows and fogbows," Applied Optics, 30, 3415-3420 (20 August1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Simpson, H. J., and P. L. Marston, "Scattering <strong>of</strong> white light from levitated oblate water drops nearrainbows and other diffraction catastrophes," Applied Optics, 30, 3468-3473 (1991) Clark, T. A., (letter) "Unusual rainbow display in Alberta," Weather, 47, 406-407 (1992) DeFuria, J. C., photo, Weatherwise, 45, 39 (August/September 1992) Kubesh, R. J., "Computer display <strong>of</strong> chromaticity coordinates with the rainbow as an example,"American Journal <strong>of</strong> <strong>Physics</strong>, 60, 919-923 (1992), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, OpticalSociety <strong>of</strong> America, ISBN 1-55752-621-4 Hovenac, E. A., and J. A. Lock, “Assessing the contributions <strong>of</strong> surface waves and complex rays to farfieldMie scattering by use <strong>of</strong> the Debye series,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 9, No. 5, 781-795 (May 1992) Nye, J. F., “Rainbows from ellipsoidal water drops,” Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London A:Mathematical and Physical Sciences, 438, 397-417 (1992) Gedzelman, S. D., "Weaving rainbows I: the rainbow beam" in "Using Your Computer," Weatherwise,46, 36-40 (April/May 1993) Gedzelman, S. D., "Weaving rainbows II: dotting the bow" in "Using Your Computer," Weatherwise, 46,34-37 (June/July 1993) Berry, M., and C. Howls, "Infinity interpreted," <strong>Physics</strong> World, 6, 35-39 (June 1993) Gedzelman, S. D., “Simulating rainbows and halos in color,” Applied Optics, 33, No. 21, 4607-4613 +Plates 30-36 (20 July 1994); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Bigg, G. R., “Back to basics: light in the atmosphere: part 2 --- The effects <strong>of</strong> water and ice,” Weather, 52,No. 8, 258-261 (1997) Lee Jr., R. L., “Mie theory, Airy theory and the natural rainbow,” Applied Optics, 37, No. 9, 1506-1519(1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lock, J. A., “Developments in our understanding <strong>of</strong> the atmospheric rainbow and rainbow phenomena inlight scattering: 1959-1999,” contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical ociety <strong>of</strong> America,ISBN 1-55752-621-4 Sawicki, M., and P. Sawicki, “Supernumerary Rainbows,” <strong>Physics</strong> Teacher, 38, 19 (January 2000) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 109-121 Adam, J. A., “The mathematical physics <strong>of</strong> rainbows and glories,” <strong>Physics</strong> Reports, 356, 229-365 (2002) Berry, M. V., “Exuberant interference: rainbows, tides, edges, (de)coherence…,” PhilosophicalTransactions <strong>of</strong> the Royal Society <strong>of</strong> London A, 360, 1023-1037 (2002) Barta, A., G. Horvath, B. Bernath, and V. B. Meyer-Rochow, “Imaging polarimetry <strong>of</strong> the rainbow,”Applied Optics, 42, No. 3, 399-405 (20 January 2003) Laven, P., “Simulation <strong>of</strong> rainbows, coronas, and glories by use <strong>of</strong> Mie theory,” Applied Optics, 42, No. 3,436-444 (20 January 2003) Saccocio, E. B., (letter) <strong>Physics</strong> Today, 56, No. 11, 10 (November 2003) and Adler, C., Sawick, M., andSaccocio, E. B. (letters) <strong>Physics</strong> Today, 57, No. 3, 15-17 (2004) Fantz, U., “Optical phenomena in the open air,” Contemporary <strong>Physics</strong>, 45, No. 2, 93-108 (March-April2004)


Optics 5 Speaks, Bill, “Capturing rainbows,” Weatherwise, 57, No. 2, 14-21 (March/April 2004) Crease, R. P., “The thing about rainbows,” <strong>Physics</strong> World, 17, No. 2, 16 (February 2004) Hardwick, J., “The subtlety <strong>of</strong> rainbows,” <strong>Physics</strong> World, 17, No. 2, 29-33 (February 2004) Laven, P., “Simulation <strong>of</strong> rainbows, coronas and glories using Mie theory and the Debye series,” Journal<strong>of</strong> Quantitative Spectroscopy & Radiative Transfer, 89, 257-269 (2004) Buchwald, J. Z., “Descartes’s experimental journey past the prism and through the invisible world to therainbow,” Annals <strong>of</strong> Science, 65, No. 1, 1-46 (January 2008) Amundsen, D. S., C. N. Kirkemo, A. Nakkerud, J. Tromborg, and A. I. Vistnes, “The rainbow as astudent project involving numerical calculations,” American Journal <strong>of</strong> <strong>Physics</strong>, 77, No. 9, 795-798(September 2009)Related references Gedzelman, S. D., “Atmospheric optics in art,” Applied Optics, 30, No. 24, 3514-3522 + Plates 23-34 (20August 1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years<strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Sassen, K., "Rainbows in the Indian rock art <strong>of</strong> desert western America," Applied Optics, 30, 3523-3537(1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-46.2 Strange rainbowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://atmospherical.blogspot.com/search?updated-min=2006-01-01T00%3A00%3A00Z&updatedmax=2007-01-01T00%3A00%3A00Z&max-results=50Blog devoted to photos <strong>of</strong> atmospheric phenomenahttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006. Find theentry for March 8, 2007 for a photograph <strong>of</strong> a reflected rainbow.Moonbow photos and descriptions:http://uweb.txstate.edu/~do01/ Don Olson sitehttp://thruthefinder.com/picture.php?gallery=naturescapes&index=51 Jia Liu photohttp://thruthefinder.com/picture.php?gallery=naturescapes&index=42 Another Jia Liu photohttp://epod.usra.edu/archive/epodviewer.php3?oid=236096http://www.artfromthesoul.com/MoonbowEnlarged.htmlhttp://www.space.com/amazingimages/cte.php?guid=42a4cbf00b3357.80262580&cat=shttp://www.livescience.com/amazingimages/cte.php?guid=4327d8849febc7.44778899&cat=lhttp://grreed.home.texas.net/FamilyStuff/ERNR/Page3.htmhttp://starmatt.com/gallery/astro/moonbow.htmlhttp://content.answers.com/main/content/wp/en/thumb/f/f6/300px-LunarRainbowVicFalls_small.jpghttp://www.bekkoame.ne.jp/i/lummox/OtherPhenomenon/Pics/moonbow-name-m.JPGhttp://www.flickr.com/photos/redlantern/263950357/ReferencesDots through indicate level <strong>of</strong> difficulty


Optics 6Journal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Humphreys, W. J., "Why we seldom see a lunar rainbow," Science, 88, 496-498 (1938) Wentworth, C. K., "Frequency <strong>of</strong> lunar rainbows," Science, 88, 498 (1938 Palmer, F., "Unusual rainbows," American Journal <strong>of</strong> <strong>Physics</strong>, 13, 203-204 (1945) Monteith, J. L., "Refraction and the spider," Weather, 9, 140-141 (1954) Saunders, P. M., "Infra-red rainbow," Weather, 13, 348 + 352-353 (1958) Bull, G. A., "Reflection rainbow," Weather, 16, 267 (1961) McDonald, J. E., "A gigantic horizontal cloudbow," Weather, 17, 243-245 (1962) McIntosh, D. H., editor, Meteorological Glossary, Her Majesty's Stationary Office, London, 1963, plate 24 Pearson, M. G., "Lunar rainbow," Weather, 22, 94 (1967) Minnaert, M., "Unusual or neglected optical phenomena in the landscape," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 58, 297-303 (1968), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Roberts, D., "Vertical bow," Weather, 23, 292 (1968) Greenler, R. G., "Infrared rainbow," Science, 173, 1231-1232 (1971) Mattsson, J. O., S. Nordbeck, and B. Rystedt, "Dewbows and fogbows in divergent light," Lund Studiesin Geography, Series C. General, Mathematical and Regional Geography, no. 11 (1971) Thompson, A. H., "Water bows: white bows and red bows," Weather, 29, 178-184 (1974) Sager, W., (letter) Sky & Telescope, 59, 177 (1980) Botley, C. M., (letter) "A persistent lunar mist bow," Journal <strong>of</strong> Meteorology, 5, 160 (1980) Garratt, J. R., "An anomalous rainbow," Weather, 35, 12-15 (1980) Bignell, K. J., "An anomalous rainbow," Weather, 35, 199-200 (1980) Livingston, W. C., “Marcel Minnaert and optics in nature,” Applied Optics, 19, No. 5, 648-649 (1 March1980) White, R., "Anomalous rainbow," Weather, 36, 63 (1981) Slingo, A., "Fogbows and glories," Weather, 36, 232-234 (1981) Lynch, D. K., "A California fogbow," Weather, 36, 234-235 (1981) Livingston, W., "Landscape as viewed in the 320-nm ultraviolet," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 73, 1653-1657 + Plate IX (1983), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 White, R., (letter) "Cloudbow in cirrostratus," Weather, 38, 122-123 (1983) Tape, W., "Fogbow from car headlight," Weather, 42, 321 (1987) Goyder, G. "Reflected-light rainbow," Weather, 43, 368-369 (1988) Kilty, K. T., (letter) "Rainbows at night," Weatherwise, 42, 301 (1989) Moran, J. M., photograph, "Fog bow," Weather, 45, 95 (1990) Pilsbury, R. K., "Double white rainbow," Weather, 46, 53-54 (1991) Bohren, C. F., and A. B. Fraser, “Newton’s zero-order rainbow: unobservable or nonexistent?” AmericanJournal <strong>of</strong> <strong>Physics</strong>, 59, No. 4, 325-326 (April 1991) Kersten, R. (letter) “Night display,” Weatherwise, 44, 6 (August/September 1991) Lynch, D. K., and P. Schwartz, "Rainbows and fogbows," Applied Optics, 30, 3415-3420 (1991),contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Lightand Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Schlatter, T., “Weather Queries,” Weatherwise, 44, No. 2, 42-43 (April 1991) Lynch, D. K., and S. N. Futterman, "Ulloa's observations <strong>of</strong> the glory, fogbow, and an unidentifiedphenomenon," Applied Optics, 30, 3538-3541 (1991), contained on Classic Reprints on CD-ROM Vol. 1,


Optics 7On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Shapiro, A. E., “Comment on ‘Newton’s zero-order rainbow: Unobservable or nonexistent?’ by C. F.Bohren and A. B. Fraser,” American Journal <strong>of</strong> <strong>Physics</strong>, 60, No. 8, 749-750 (August 1992) Clark, T. A., photograph <strong>of</strong> fogbow, Weather, 48, 216-217 (1993) Marsh, D., photograph <strong>of</strong> fogbow, Weatherwise, 46, 19 (August/September 1993) "The magic <strong>of</strong> fog," Sky & Telescope, 87, No. 5, 110-111 (May 1994) Lock, J. A., and T. A. McCollum, “Further thoughts on Newton’s zero-order rainbow,” AmericanJournal <strong>of</strong> <strong>Physics</strong>, 62, No. 12, 1082 (December 1994) Hamilton-Paterson, (letter) “Moonbow,” New Scientist, 146, No. 1975, 56 (29 April 1995) Lock, J. A., “Supernumerary spacing <strong>of</strong> rainbows produced by an elliptical-cross-section cylinder. I.Theory,” Applied Optics, 39, No. 27, 5040-5051 (20 September 2000) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 122-126 Vaquero, J. M., J. A. Mendez, J. M. Barrigon, R. Vilchez-Gomez, and V. Gomez-Escobar, “Anobservation <strong>of</strong> a fogbow in the Natural Park <strong>of</strong> Monfrague, Spain,” Weather, 57, No. 12, 446-448(December 2002) Hardwick, C. J., “Simulation <strong>of</strong> the Whymer apparition,” Weather, 57, No. 12, 457-463 (2002) Lenke, R., U. Mack, and G. Maret, “Comparison <strong>of</strong> the ‘glory’ with coherent backscattering <strong>of</strong> light inturbid media,” Journal <strong>of</strong> Optics A: Pure and Applied Optics, 4, 309-314 (2002) Gedzelman, S. D., “Simulating glories and cloudbows in color,” Applied Optics, 42, No. 3, 429-435 (20January 2003) Hendry, A. W., “A triple rainbow?” <strong>Physics</strong> Teacher, 41, 460-463 (November 2003) Fantz, U., “Optical phenomena in the open air,” Contemporary <strong>Physics</strong>, 45, No. 2, 93-108 (March-April2004) Hardwick, J., “The subtlety <strong>of</strong> rainbows,” <strong>Physics</strong> World, 17, No. 2, 29-33 (February 2004) Wilk, S. R., “Antonio de Ulloa’s mystery,” Optics & Photonics, 15, No. 4, 16-19 (April 2004) Kral, L., photograph <strong>of</strong> a normal rainbow and a reflection rainbow, “Weatherwise, 59, Nuimber 5, 20-21(September/October 2006); repeated, with discussion by T. Schlatter in “Weather Queries,” Weatherwise,60, No. 2, 77 (March/April 2007) Olson, D. W., R. L. Boescher, and the Mitte Honors Students, “Moonbows over Yosemite,” Sky &Telescope, 113, No. 5, 24-29 (May 2007) Lock, J. A., C. L. Adler, and R. W. Fleet, “Rainbows in the grass. I. External-reflection rainbows frompendant droplets,” Applied Optics, 47, No. 34, H203-H213 (1 December 2008) Adler, C. L., J. A. Lock, and R. W. Fleet, “Rainbows in the grass. II.Arbitrary diagonal incidence,”Applied Optics, 47, No. 34, H214-H219 (1 December 2008) Gedzelman, S. D., and J. Hernandez-Andres, “Fountain rainbows” Applied Optics, 47, No. 34, H220-H224(1 December 2008) O’Meara, S. J., “Moonbows: architecture <strong>of</strong> light,” Astronomy, 37, No. 8, 62-63 (August 2009)Also see references for preceding item.6.3 Artificial rainbowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 8http://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006. There is aglass bead bow photo and description under Sunday, May 14, 2006ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Miller, W. H., "On spurious rainbows," Transactions <strong>of</strong> the Cambridge Philosophical Society, 7, 277-286(1842) Harsch, J., and J. D. Walker, "Double rainbow and dark band in searchlight beam," American Journal <strong>of</strong><strong>Physics</strong>, 43, 453-455 (1975)http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=AJPIAS000043000005000453000001&idtype=cvips&prog=normal Scott, G. D., "The swimmer's twin rainbow," American Journal <strong>of</strong> <strong>Physics</strong>, 43, 460 (1975) Walker, J., "Multiple rainbows from single drops <strong>of</strong> water and other liquids," American Journal <strong>of</strong><strong>Physics</strong>, 44, 421-433 (1976), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, Optical Society <strong>of</strong> America, ISBN1-55752-621-4 Walker, J., "How to create and observe a dozen rainbows in a single drop <strong>of</strong> water" in "The AmateurScientist," Scientific American, 237, 138-144 + 154 (July 1977) Sassen, K., "Angular scattering and rainbow formation in pendant drops," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 69, 1083-1089 (1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Walker, J., "Mysteries <strong>of</strong> rainbows, notably their rare supernumerary arcs" in "The Amateur Scientist,"Scientific American, 242, 174-184 + 186 (June 1980) Floor, C., "Rainbows and haloes in lighthouse beam," Weather, 35, 203-208 (1980) Meaden, G. T., "Road-spray rainbows," Weather, 36, 343-344 (1981) Robinett, R. W., "Homemade rainbows: a backyard experiment," The <strong>Physics</strong> Teacher, 21, 388-390(1983) Marston, P. L., and E. H. Trinh, "Hyperbolic umbilic diffraction catastrophe and rainbow scattering fromspheroidal drops," Nature, 312, 529-531 (1984) Nye, J. F., "Rainbow scattering from spheroidal drops --- an explanation <strong>of</strong> the hyperbolic umbilic foci,"Nature, 312, 531-532 (1984) Bohren, C. F., "Indoor rainbows," in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 37, 95-98 (1984); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric<strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications, ISBN 0486417387, 1987,<strong>Chap</strong>ter 21 Skartveit, A., and F. Cleveland, (letters) "Indoor rainbows," Weatherwise, 38, 238 + 285 (1985) Marston, P. L., "Cusp diffraction catastrophe from spheroids: generalized rainbows and inversescattering," Optics Letters, 10, 588-590 (1985), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lock, J. A., "Theory <strong>of</strong> the observations made <strong>of</strong> high-order rainbows from a single water droplet,"Applied Optics, 26, 5291-5298 (1987) Crawford, F. S., "Rainbow dust," American Journal <strong>of</strong> <strong>Physics</strong>, 56, 1006-1009 (1988), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4


Optics 9 Lock, J. A., "Cooperative effects among partial waves in Mie scattering," Journal <strong>of</strong> the Optical Society<strong>of</strong> America A, 5, 2032-2044 (1988) Russell, R. D., "A rainbow for the classroom," The <strong>Physics</strong> Teacher, 27, 262-263 (1989) Eliason Jr., J. C., "Dispersion in spherical water drops," The <strong>Physics</strong> Teacher, 27, 264-266 (1989) Daw, H. A., "A 360 rainbow demonstration," American Journal <strong>of</strong> <strong>Physics</strong>, 58, 593-595 (1990) Langley, D. S., M. J. Morrell, “Rainbow-enhanced forward and backward glory scattering,” AppliedOptics, 30, No. 24, 3459-3467 (1991); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Simpson, H. J., and P. L. Marston, "Scattering <strong>of</strong> white light from levitated oblate water drops nearrainbows and other diffraction catastrophes," Applied Optics, 30, 3468-3473 + 3547 (1991), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Hovenac, E. A., “Calculation <strong>of</strong> far-field scattering from nonspherical particles using a geometricaloptics approach,” Applied Optics, 30, No. 33, 4739-4746 (20 November 1991) van de Hulst, H. C., and R. T. Wang, "Glare points," Applied Optics, 30, 4755-4763 (1991); contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Roth, N., K. Anders, and A. Frohn, “Refractive-index measurements for the correction <strong>of</strong> particle sizingmethods,” Applied Optics, 30, No. 33, 4960-4965 (20 November 1991) Schaub, S. A., D. R. Alexander, and J. P. Barton, "Glare spot image calculations for a spherical particleilluminated by a tightly focused beam," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 9, 316-330 (1992) Cartwright, C. M., "Rainbows," <strong>Physics</strong> Education, 27, 155-158 (1992) Lock, J. A., "Contribution <strong>of</strong> high-order rainbows to the scattering <strong>of</strong> a Gaussian laser beam by aspherical particle," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 10, 693-706 (1993) D’Amico, J. J., M. D. Knudson, and D. S. Langley, “Rainbow-enhanced forward glory from fused-silicaspheres,” Applied Optics, 33, No. 21, 4672-4676 (1994); contained on Classic Reprints on CD-ROM Vol. 1,On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lock, J. A., J. M. Jamison, and C. Lin, “Rainbow scattering by a coated sphere,” Applied Optics, 33,No. 21, 4677-4690 + 4960 (20 July 1994), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Kaduchak, G., P. L. Marston, and H. J. Simpson, “E 6 diffraction catastrophe <strong>of</strong> the primary rainbow <strong>of</strong>oblate water drops: observations with white-light and laser illumination,” Applied Optics, 33, No. 21, 4691-4696 + 4961 (20 July 1994) Kaduchak, G., and P. L. Marston, “Hyperbolic umbillic and E 6 diffraction catastrophes associated with thesecondary rainbow <strong>of</strong> oblate water drops: observations with laser illumination,” Applied Optics, 33, No. 21,4697-4701 (20 July 1994) Marston, P. L., and G. Kaduchak, “Generalized rainbows and unfolded glories <strong>of</strong> oblate drops:organization for multiple internal reflections and extension <strong>of</strong> cusps into Alexander’s dark band,” AppliedOptics, 33, No. 21, 4702-4713 (20 July 1994), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Chan, C. W., and W. K. Lee, “Measurement <strong>of</strong> a liquid refractive index by using high-order rainbows,”Journal <strong>of</strong> the Optical Society <strong>of</strong> America B, 13, No. 3, 532-535 (March 1996) Lock, J. A., and C. L. Adler, “Debye-series analysis <strong>of</strong> the first-order rainbow produced in scattering <strong>of</strong> adiagonally incident plane wave by a circular cylinder,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 14, No.6, 1316-1328 (1997), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty


Optics 10Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Adler, C. L., J. A. Lock, B. R. Stone, and C. J. Garcia, “Higher-order interior caustics produced inscattering <strong>of</strong> a diagonally incident plane wave by a circular cylinder,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 14, No. 6, 1305-1315 (June 1997); contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Ng, P. H., M. Y. Tse, and W. K. Lee, “Observation <strong>of</strong> high-order rainbows formed by a pendant drop,”Journal <strong>of</strong> the Optical Society <strong>of</strong> America B, 15, No. 11, 2782-2787 (November 1998) Langley, D. S., and P. L. Marston, “Generalized tertiary rainbow <strong>of</strong> slightly oblate drops: observationswith laser illumination,” Applied Optics, 37, No. 9, 1520-1526 (20 March 1998), contained on ClassicReprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lock, J. A., C. L. Adler, B. R. Stone, and P. D. Zajak, “Amplification <strong>of</strong> high-order rainbows <strong>of</strong> acylinder with an elliptical cross section,” Applied Optics, 37, No. 9, 1527-1533 (20 March 1998), containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Adler, C. L., J. A. Lock, and B. R. Stone, “Rainbow scattering by a cylinder with a nearly elliptical crosssection,” Applied Optics, 37, No. 9, 1540-1550 (20 March 1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler,editor, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Hattori, H., H. Katui, H. Kurniawan, and K. Kagawa, “Liquid refractometry by the rainbow method,”Applied Optics, 37, No. 7, 4123-4129 (1998), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Vollmer, M., and R. Tammer, “Laboratory experiments in atmospheric optics,” Applied Optics, 37, No. 9,1557-1568 (March 1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Lohner, H., P. Lehmann, and K. Bauckhage, “Detection based on rainbow refractometry <strong>of</strong> dropletsphericity in liquid-liquid systems,” Applied Optics, 38, No. 7, 1127-1132 (1 March 1999) Marston, P. L., “Catastrophe optics <strong>of</strong> spheroidal drops and generalized rainbows,” Journal <strong>of</strong>Quantitative Spectroscopy & Radiative Transfer, 63, 341-351 (1999) Adler, C. L, D. Phipps, K. W. Saunders, J. K. Nash, and J. A. Lock, “Supernumerary spacing <strong>of</strong>rainbows produced by an elliptical-cross-section cylinder. II. Experiment,” Applied Optics, 40, No. 15,2535-2545 (20 May 2001) Ng, P-h., P-y. So, C-w. Chan, and W-k. Lee, “Interference <strong>of</strong> the eleventh-and higher-order rainbowsformed by a pendant water drop,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America B, 20, No. 11, 2395-2399(November 2003) Adler, C. L., J. A. Lock, J. Mulholland, B. Keating, and D. Ekelman, “Experimental observation <strong>of</strong>total-internal-reflection rainbows,” Applied Optics, 42, No. 3, 406-411 (20 January 2003) Adler, C. L., J. A. Lock, I. P. Rafferty, and W. Hickok, “Twin-rainbow metrology. I. Measurement <strong>of</strong>the thickness <strong>of</strong> a thin liquid film draining under gravity,” Applied Optics, 42, No. 33, 6584-6594 (20November 2003) Adam, J. A., and P. Laven, “Rainbows from inhomogeneous transparent spheres: a ray-theoreticapproach,” Applied Optics, 46, No. 6, 922-929 (20 February 2007) Ng, K-S., and W-K. Lee, “Interference <strong>of</strong> the n th - and the higher-order rainbows formed by a water drop, “Journal <strong>of</strong> the Optical Society <strong>of</strong> America B, 24, No. 12, 3072-3076 (December 2007) Adam, J. A., “Geometric optics and rainbows: generalization <strong>of</strong> a result by Huygens,” Applied Optics,47, No. 34, H11-H13 (1 December 2008)


Optics 11 Sassen, K., and J. Zhu, “The rainbow as interactive art: modeling the Elaisson Beauty installation atSFMOMA,” Applied Optics, 47, No. 34, H171-H175 (1 December 2008) Gedzelman, S. D., “Simulating rainbows in their atmospheric environment,” Applied Optics, 47, No. 34,H176-H181 (1 December 2008) Buchwald, J. Z., “Descartes’s experimental journey past the prism and through the invisible world to therainbow,” Annals <strong>of</strong> Science, 65, No. 1, 1-46 (January 2008) Saengkaew, S, T. Charinpanikul, C. Laurent, Y. Biscos, G. Lavergne, G. Gousebet, and G. Grehan,“Processing <strong>of</strong> individual rainbow signals,” Experiments in Fluids, 48, 111-119 (2010)Also see references for the preceding two items.Related reference Marston, P. L., “Descartes glare points in scattering by icicles: color photographs and a tilted dielectriccylinder model <strong>of</strong> caustic and glare-point evolution,” Applied Optics, 37, 1551-1556 (1998), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-46.4 The daytime sky is not darkThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Pan<strong>of</strong>sky, W. K. H., and M. Phillips, Classical Electricity and Magnetism, Addison-Wesley, 1962,pages 414-416 Lorentz, H. A., Problems <strong>of</strong> Modern <strong>Physics</strong>, Dover, 1967, pages 52 ff Loudon, R., The Quantum Theory <strong>of</strong> Light, 2nd edition, Clarendon Press, 1983, pages 292-295 Houghton, H., Physical Meteorology, MIT Press, 1985, pages 38-396.5 Colors <strong>of</strong> the skyThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticsReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages La Mer, V. K., and M. Kerker, "Light scattered by particles," Scientific American, 188, 69-76 + 112(February 1953)


Optics 12 Minnaert, M., Light and Colour in the Open Air, Dover, 1954, <strong>Chap</strong>ter 11 Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 184 ff Ives, R. L., "Apparent relation <strong>of</strong> 'stepped' sunset red to inversions," Bulletin <strong>of</strong> the AmericanMeteorological Society, 40, 311 (1959) Reif, F., Statistical <strong>Physics</strong>, Berkeley <strong>Physics</strong> Course, vol. 5, McGraw-Hill, 1964, page 33 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, <strong>Chap</strong>ter 4 Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966, page 10 Lorentz, H. A., Problems <strong>of</strong> Modern <strong>Physics</strong>, Dover, 1967, pages 52 ff Dave, J. V., and C. L. Mateer, "The effect <strong>of</strong> stratospheric dust on the color <strong>of</strong> the twilight sky," Journal<strong>of</strong> Geophysical Research, 73, 6897-6913 (1968) Crawford Jr., F. S., Waves (Berkeley <strong>Physics</strong> Course, vol. 3), McGraw-Hill, 1968, pages 559-562 Rayleigh, Lord, "The blue sky and the optical properties <strong>of</strong> air" in The Royal Institution Library <strong>of</strong>Science: Physical Sciences, W. L. Bragg and G. Porter, editors, Elsevier, 1970, vol. 8, pages 309-317 Henderson, S. T., Daylight and Its Spectrum, American Elsevier, 1970, pages 35 ff Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, <strong>Chap</strong>ter 9 Larmore, L., and F. F. Hall Jr., "Optics for the airborne observer," The Journal <strong>of</strong> the Society <strong>of</strong> Photo-Optical Instrumentation Engineers, 9, 87-94 (February-March 1971) Kerker, M., "Blue skies and the Tyndall effect" in "Chemical Principles Exemplified," R. C. Plumb,editor, Journal <strong>of</strong> Chemical Education, 48, 389 (1971) Moore, M. H., "Blue sky and red sunsets," The <strong>Physics</strong> Teacher, 11, 436-437 (1973) Kruglak, H., "A simplified sunset demonstration," The <strong>Physics</strong> Teacher, 11, 559 (1973) Adams, C. N., G. N. Plass, and G. W. Kattawar, "The Influence <strong>of</strong> ozone and aerosols on the brightnessand color <strong>of</strong> the twilight sky," Journal <strong>of</strong> the Atmospheric Sciences, 31, 1662-1674 (1974) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, <strong>Chap</strong>ter 5 Young, A. T., "Rayleigh scattering," Applied Optics, 20, 533-535 (1981) Volz, F. E., “Zenith polarization and color ratio during twilight,” Applied Optics, 20, No. 24, 4172-4174(December 1981), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Young, A. T., "Rayleigh scattering," <strong>Physics</strong> Today, 35, 42-48 (1982) Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,<strong>Chap</strong>ter 4 Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 42-53 Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), page 113 Bohren, C. F., and A. B. Fraser, "Colors <strong>of</strong> the sky," The <strong>Physics</strong> Teacher, 23, 267-272 (1985) Eaton, B. G., and J. B. Johnston, "More about light scattering demonstrations," American Journal <strong>of</strong><strong>Physics</strong>, 53, 184-185 (1985) Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987, pages162-163; now available from Dover Publications, ISBN 0486417387 Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988) Young, J. R. C., (letter) "Red scattering at the top <strong>of</strong> the atmosphere," Weather, 43, 212 (1988)


Optics 13 Cordaro, J. F., "Optical ceramics: demonstrations <strong>of</strong> material dispersion, internal reflection, and Rayleighscattering," American Journal <strong>of</strong> <strong>Physics</strong>, 56, 948-950 (1988) Walker, J., "The colors <strong>of</strong> the sky <strong>of</strong>fer lessons in optical scattering" in "The Amateur Scientist," ScientificAmerican, 260, 102-105 (January 1989) Andringa, J., "Sky colours in Botswana," Weather, 44, 236 (1989) Dissanaike, G., "Painting the sky red," New Scientist, 132, 31-33 (19 October 1991)Kerker, M., "Founding fathers <strong>of</strong> light scattering and surface-enhanced Raman scattering," Applied Optics,30, 4699-4705 (1991) Gedzelman, S. D., “Atmospheric optics in art,” Applied Optics, 30, No. 24, 3514-3522 + Plates 23-34 (20August 1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years<strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Schlatter, T., "Sky colors, lows, Pacific hurricanes, and significant tornadoes" in "Weather Queries,"Weatherwise, 45, 50-51 (August/September 1992) Judd, S. C., “An interesting sunset---27 October 1992,” Weather, 48, 160-161 (1993) Lee Jr., R. L., “Twilight and daytime colors <strong>of</strong> the clear sky,” Applied Optics, 33, No. 21, 4629-4638 +Plate 37-43 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Zhu, E-Q., and S-Y. Mak, “Demonstrating colors <strong>of</strong> sky and sunset,” <strong>Physics</strong> Teacher, 32, No. 7, 420-421(October 1994) Bigg, G. R., “Back to the basics: light in the atmosphere: part 1 --- why the sky is blue,” Weather, 52, No.3, 72-77 (1997) Holstein, B. R., “Blue skies and effective interactions,” American Journal <strong>of</strong> <strong>Physics</strong>, 67, No. 5, 422-427(May 1999) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 21-23 Hernandez-Andres, J., R. L. Lee, and J. Romero, “Color and luminance asymmetries in the clear sky,”Applied Optics, 42, No. 3, 458-464 (20 January 2003) Fantz, U., “Optical phenomena in the open air,” Contemporary <strong>Physics</strong>, 45, No. 2, 93-108 (March-April2004) Lilienfeld, P., “A blue sky history,” Optics & Photonics, 15, No. 6, 32-39 (June 2004) Smith, G. S., “Human color vision and the unsaturated blue color <strong>of</strong> the daytime sky,” American Journal<strong>of</strong> <strong>Physics</strong>, 73, No. 7, 590-597 (July 2005) Lee, Jr., R. L., “Measuring overcase colors with all-sky imaging,” Applied Optics, 47, No. 34, H106-H115(1 December 2008) Gedzelman, S. D., M. A. Lopez-Alvarez, J. Hernandez-Andres, and R. Greenles, “Quantifying the ‘milkysky’ experiment” Applied Optics, 47, No. 34, H128-H132 (1 December 2008) Smith, G. S., “Summing the molecular contributions to skylight,” American Journal <strong>of</strong> <strong>Physics</strong>, 76, No.9, 816-825 (September 2008)6.6 Blue mountains, white mountains, and red cloudsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.References


Optics 14Dots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Middleton, W. E. K., "The colours <strong>of</strong> snowfields in sunlight," Transactions <strong>of</strong> the Royal Society <strong>of</strong>Canada, Section III, 37, 39-43 (1943) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 129, 135 Gorraiz, J., H. Horvath and G. Raimann, "Influence <strong>of</strong> small color differences on the contrast threshold:its application to atmospheric visibility," Applied Optics, 25, 2537-2545 (1986) Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988) Lynch, D. K., and S. Mazuk, “On the colors <strong>of</strong> distant objects,” Applied Optics, 44, No. 27, 5737-5745(20 September 2005)Related reference Lynch, D. K., "Step brightness changes <strong>of</strong> distant mountain ridges and their perception," Applied Optics,30, 3508-3513 (1991)6.7 Sailor's warningThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Sonnier, I. L., "Alpine glow: a rare sunset," Journal <strong>of</strong> Geological Education, 26, 118 (1978)6.8 Sunsets and volcanoesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Meinel, A. B., and M. P. Meinel, "Height <strong>of</strong> the glow stratum from the eruption <strong>of</strong> Agung on Bali,"Nature, 201, 657-658 (1964) Meinel, A. B., and M. P. Meinel, "Volcanic sunset-glow stratum: origin," Science, 155, 189 (1967) Dave, J. V., and C. L. Mateer, "The effect <strong>of</strong> stratospheric dust on the color <strong>of</strong> the twilight sky," Journal<strong>of</strong> Geophysical Research, 73, 6897-6913 (1968) Volz, F. E., "Stratospheric dust striations," Bulletin <strong>of</strong> the American Meteorological Society, 50, 16 (1969)


Optics 15 Volz, F. E., "Twilights and stratospheric dust before and after the Agung eruption," Applied Optics, 8,2505-2517 (1969) Hall Jr., F. F., "Twilight sky colors: observations and the status <strong>of</strong> modeling," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 69, 1179-1180 + 1197 (1979) Austin, J., "Krakatoa sunsets," Weather, 38, 226-231 (1983) Peterson, R. E., "Striking southern sunsets," Weatherwise, 36, 242-243 (1983) Simkin, T., and R. S. Fiske, "Krakatau 1883," Weatherwise, 36, 245-254 (1983) Bignell, K. J., "Spectacular sunsets over London," 38, 292-293 (1983) Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,<strong>Chap</strong>ters 5-7 Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 61-67 Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 120-124, 135-136 Ashok, N. M., H. C. Bhatt, T. Chandrasekhar, J. N. Desai, and D. B. Vaidya, "Twilight optical studies <strong>of</strong>the El Chichon volcanic dust over Ahmedabad, India," Journal <strong>of</strong> Atmospheric and Terrestrial <strong>Physics</strong>, 46,411-418 (1984) Peterson, R. E., "Twilight phenomena due to El Chichon," Weather, 39, 47 (1984) Burtt, G., C. M. Botley, and E. L. Deacon, (letters) "Krakatoa sunsets," Weather, 39, 158-159 (1984) Verschure, P. P. H., "Optical effects <strong>of</strong> El Chichon's volcanic aerosol," Weather, 39, 243-246 (1984) Volz, F. E., "Volcanic turbidity, skylight scattering functions, sky polarization, and twilights in NewEngland during 1983," Applied Optics, 23, 2589-2593 (1984) Walker, J., "The colors <strong>of</strong> the sky <strong>of</strong>fer lessons in optical scattering" in "The Amateur Scientist," ScientificAmerican, 260, 102-105 (January 1989) Ackerman, T., "Pinatubo paints the sky," <strong>Physics</strong> World, 5, 25 (March 1992) Peterson, R. E., "Atmospheric effects caused by Mount Pinatubo eruptions observed in Texas," Weather,47, 165-166 (1992) Burt, S., (letter) "Pinatubo sunsets," Weather, 47, 492-493 (1992) Torrance, J. D., (letter) "Mount Pinatubo atmospheric effects," Weather, 48, 94 (1993) Stothers, R. B., “Major optical depth perturbations to the stratosphere from volcanic eruptions:pyrheliometric period, 1881-1960,” Journal <strong>of</strong> Geophysical Research, 101, No. D2, 3901-3920 (20 February1996) Olson D. W., R. L. Doescher, and M. S. Olson, “When the sky ran red. The story behind The Scream,” Sky& Telescope, 107, 29-35 (February 2004)Also see the references to the next item.Related references Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 270-280 Deacon, E. L., "The second purple light," Nature, 178, 688 (1956) Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966 C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979)Lee Jr., R. L., and J. Hernandez-Andres, “Measuring and modeling twilight’s purple light,” Applied Optics,42, No. 3, 445-457 (20 January 2003) Dan, N. G., “Visual dysfunction in artists,” Journal <strong>of</strong> Clinical Neuroscience, 10, No. 2, 168-170 (2003)


Optics 166.9 Bishop's ringThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://atmospherical.blogspot.com/search?updated-min=2006-01-01T00%3A00%3A00Z&updatedmax=2007-01-01T00%3A00%3A00Z&max-results=50Blog devoted to photos <strong>of</strong> atmospheric phenomenahttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, page 282 Deacon, E. L., "The second purple light," Nature, 178, 688 (1956) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 178, 191 Meinel, M. P., and A. B. Meinel, "Late twilight glow <strong>of</strong> the ash stratum from the eruption <strong>of</strong> Agungvolcano," Science, 142, 582-583 (1963) Burdecki, F., "Meteorological phenomena after volcanic eruptions," Weather, 19, 113-114 (1964) Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, page 555 Green, H. L., W. R. Lane, and H. Hartley, Particulate Clouds: Dusts, Smokes and Mists, 2nd edition,Van Nostrand, 1964, page 130 Volz, F. E., "Twilight phenomena caused by the eruption <strong>of</strong> Agung volcano," Science, 144, 1121-1122(1964) Volz, F. E., "Twilights and stratospheric dust before and after the Agung eruption," Applied Optics, 8,2505-2517 (1969) Shah, G. M., "Enhanced twilight glow caused by the volcanic eruption on Bali Island in March andSeptember 1963," Tellus, 21, 636-640 (1969) Lamb, H. H., "Volcanic dust in the atmosphere; with a chronology and assessment <strong>of</strong> its meteorologicalsignificance," Philosophical Transactions <strong>of</strong> the Royal Society <strong>of</strong> London A, 266, 425-533 (1970); see pages430-434, 441 Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, pages 167, 243 Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 142-143 Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,<strong>Chap</strong>ter 8 Austin, J., "Krakatoa sunsets," Weather, 38, 226-231 (1983) Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 66-67 Simkin, T., and R. S. Fiske, "Karakatau 1883," Weatherwise, 36, 245-254 (1983) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 61-67 Verschure, P. P. H., "Optical effects <strong>of</strong> El Chichon's volcanic aerosol," Weather, 39, 243-246 (1984) Volz, F. E., "Volcanic turbidity, skylight scattering functions, sky polarization, and twilights in NewEngland during 1983," Applied Optics, 23, 2589-2593 (1984) Bortle, J. E., (letter) "Bishop's ring," Weatherwise, 37, 5-6 (1984) Sassen, K., T. Peter, B. P. Luo, and P. J. Crutzen, “Volcanic Bishop’s ring: evidence for a sulfuric acidtetrahydrate particle aureole,” Applied Optics, 33, No. 21, 4602-4606 (20 July 1994)


Optics 17 Stothers, R. B., “Major optical depth perturbations to the stratosphere from volcanic eruptions:pyrheliometric period, 1881-1960,” Journal <strong>of</strong> Geophysical Research, 101, No. D2, 3901-3920 (20 February1996) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 336.10 Cloud-contrast bowThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Livingston, W. C., "The cloud contrast bow as seen from high flying aircraft," Weather, 34, 16-17 (1979) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 1276.11 Sky colors during a solar eclipseThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Stewart, J. W. "Atmospheric phenomena at a sunrise total solar eclipse," Weatherwise, 13, 115-117 (1960) Velasquez, D. A., "Zenith sky brightness and color change during the total solar eclipse <strong>of</strong> 12 November1966 at Santa Ines, Peru," Applied Optics, 10, 1211-1214 (1971) Lloyd, J. W. F., and S. M. Silverman, "Measurements <strong>of</strong> the zenith sky intensity and spectral distributionduring the solar eclipse <strong>of</strong> 12 November 1966 at Bage, Brazil, and on an aircraft," Applied Optics, 10, 1215-1219 (1971) Hall, W. N., "Spectral changes in the zenith skylight during total solar eclipses," Applied Optics, 10, 1225-1231 (1971) Shaw, G. E., "Sky brightness and polarization during the 1973 African eclipse," Applied Optics, 14, 388-394 (1975) Gedzelman, S. D., "Sky color near the horizon during a total solar eclipse," Applied Optics, 14, 2831-2837 (1975) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,page 31 Vollmer, M., and S. D. Gedzelman, “Simulating irradiance during lunar eclipses: the sphericallysymmetric case,” Applied Optics, 47, No. 34, H52-H61 (1 December 2008)


Optics 18Related references Konnen, G. P., “Skylight polarization during a total solar eclipse: a quantitative model,” Journal <strong>of</strong> theOptical Society <strong>of</strong> America A, 4, No. 3, 601-608 (March 1987), contained on Classic Reprints on CD-ROMVol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor,1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Geyer, E. H., M. H<strong>of</strong>fmann, and H. Volland, “Influence <strong>of</strong> a solar eclipse on twilight,” Applied Optics,33, No. 21, 4614-4619 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-46.12 When the sky turns green, head for the cellarThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Photoshttp://www.stormeyes.org/tornado/SkyPix/tuliacg.htmhttp://ww2010.atmos.uiuc.edu/guides/crclm/prjct/strm93/gifs/strt2.gifReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Bohren, C. F., and A. B. Fraser, “Green thunderstorms,” Bulletin <strong>of</strong> the American MeteorologicalSociety, 74, 2185-2193 (1993) Gallagher III, F. W., W. H. Beasley, and C. F. Bohren, “Green thunderstorms observed,” Bulletin <strong>of</strong> theAmerican Meteorological Society, 77, 2889-2897 (1996) Gallagher III, F. W., “Distant green thunderstorm---Fraser’s theory revisited,” Journal <strong>of</strong> AppliedMeteorology, 39, 1754-1761 (October 2000) Gallagher III, F. W., “Ground reflections and green thunderstorms,” Journal <strong>of</strong> Applied Meteorology,40, 776-782 (April 2001) Palmer, R. J., and F. W. Gallagher III, (letters) “Green skies,” Weatherwise, 55, 6 (January/February 2002) Wang, P. K., “The Kansas green thunderstorm <strong>of</strong> 4 October 1998,” American Meteorological Society, 83,No. 3, 355- (March 2002) Gallagher III, F. W., and W. H. Beasley, “Evaluation <strong>of</strong> a one-dimensional cloud model for yellow andgreen thunderstorms,” 42, No. 3, 505-510 (20 January 2003)6.13 Enhancement <strong>of</strong> overhead blueThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 19ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966, <strong>Chap</strong>ter 4 Dave, J. V., and C. L. Mateer, "The effect <strong>of</strong> stratospheric dust on the color <strong>of</strong> the twilight sky," Journal<strong>of</strong> Geophysical Research, 73, 6897-6913 (1968) Henderson, S. T., Daylight and Its Spectrum, American Elsevier, 1970, pages 207-208 Adams, C. N., G. N. Plass and G. W. Kattawar, "The influence <strong>of</strong> ozone and aerosols on the brightnessand color <strong>of</strong> the twilight sky," Journal <strong>of</strong> the Atmospheric Sciences, 31, 1662-1674 (1974) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Hall Jr., F. F., "Twilight sky colors: observations and the status <strong>of</strong> modeling," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 69, 1179-1180 (1979) Walker, J., "The colors <strong>of</strong> the sky <strong>of</strong>fer lessons in optical scattering" in "The Amateur Scientist," ScientificAmerican, 260, 102-105 (January 1989) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 33-406.14 Dark patch and rosy border during sunsetThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 268 ff Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 184 ff Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, page 566 Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966 Dave, J. V., and C. L. Mateer, "The effect <strong>of</strong> stratospheric dust on the color <strong>of</strong> the twilight sky," Journal<strong>of</strong> Geophysical Research, 73, 6897-6913 (1968) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Hall Jr., F. F., "Twilight sky colors: observations and the status <strong>of</strong> modeling," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 69, 1179-1180 (1979) Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,<strong>Chap</strong>ter 4 Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, page 62 Walker, J., "The colors <strong>of</strong> the sky <strong>of</strong>fer lessons in optical scattering" in "The Amateur Scientist," ScientificAmerican, 260, 102-105 (January 1989) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 33-40


Optics 206.15 Bright and dark shafts across the skyThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 275-277 Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, page 185 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, pages 452, 567 "Anticrepuscular rays," Weather, 22, 18 (1967) Gouin, P., "Unusual twilight phenomena over Ethiopia," Weather, 23, 70-71 (1968) Young, J. R. C., and P. Gouin, (letters) "Unusual twilight phenomena over Ethiopia," Weather, 23, 340-341 (1968) Pittwell, L. R., (letter) "Addis Ababa twilight," Weather, 24, 121-122 (1969) photo, Science, 176, No. 4038, front cover (2 June 1972) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 129-131 Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 104-107 Schlatter, T., "Strange sights at sunset" in "Weather Queries," Weatherwise, 39, 333-335 (1986) Montieth, J. L., "Crepuscular rays formed by the Western Ghats," Weather, 41, 292-299 (1986) Lynch, D. K., "Optics <strong>of</strong> sunbeams," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 4, 609-611 (1987),contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Lightand Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Monteith, J. L., "Crepuscular rays: reversibility and rarity," Weather, 45, 187-188 (1990) Kallberg, P., (letter) "Reversed crepuscular rays," Weather, 46, 61 (1991) Gedzelman, S. D., “Atmospheric optics in art,” Applied Optics, 30, No. 24, 3514-3522 + Plates 23-34 (20August 1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years<strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Bohren, C. F., and M. L. Sowers, "Crepuscular rays" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 45, 34-38 (April/May 1992)6.16 Blue haze, red haze, brown hazeThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 21ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Went, F. W., "Air pollution," Scientific American, 192, 62-72 + 128 (May 1955) Went, F. W., "Blue hazes in the atmosphere," Nature, 187, 641-643 (1960) Charlson, R. J., and N. C. Ahlquist, "Brown haze; NO 2 or aerosol?" Atmospheric Environment, 3, 653-656(1969) Horvath, H., "On the brown colour <strong>of</strong> atmospheric haze," Atmospheric Environment, 5, 333-344 (1971) Waggoner, A. P., R. J. Charlson, and N. C. Ahlquist, "Discussion: On the brown colour <strong>of</strong> atmospherichaze," Atmospheric Environment, 6, 143-144 (1972); Horvath, H., "Author's reply," 6, 144-148 (1972) Fish, B. R., "Electrical generation <strong>of</strong> natural aerosols from vegetation," Science, 175, 1239-1240 (1972) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Nassau, K., The <strong>Physics</strong> and chemistry <strong>of</strong> Color. The Fifteen Causes <strong>of</strong> Color, John Wiley & Sons, 2001,page 2356.17 Lights <strong>of</strong> a distant cityThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Went, F. W., "Air pollution," Scientific American, 192, 62-72 + 128 (May 1955) Middleton, W. E. K., Vision through the Atmosphere, University <strong>of</strong> Toronto Press, 1968, pages 172-173 Shaw, G. E., "Sky brightness and polarization during the 1973 African eclipse," Applied Optics, 14, 388-394 (1975)6.18 How far is the horizon?This item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages French, A. P., "How far away is the horizon?" American Journal <strong>of</strong> <strong>Physics</strong>, 50, 795-799 (1982) Bohren, C., "On a clear day you can't see forever" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 39, 104-109 (1986); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 16


Optics 22 Bohren, C. F., and A. B. Fraser, "At what altitude does the horizon cease to be visible?" AmericanJournal <strong>of</strong> <strong>Physics</strong>, 54, 222-227 (1986) Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987,chapter 16; now available from Dover Publications, ISBN 0486417387 Silverman, M. P., “How deep is the ocean/how high is the sky? Some thoughts on imaging by parallelplates and gravitationally stratified media,” European Journal <strong>of</strong> <strong>Physics</strong>, 11, 366-371 (1990) Lynch, D. K., “Visually discerning the curvature <strong>of</strong> the Earth,” Applied Optics, 47, No. 34, H39-H43 (1December 2008)6.19 Color <strong>of</strong> overcast skyThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Middleton, W. E. K., "The color <strong>of</strong> the overcast sky," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 44,793-798 (1954) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 136-1386.20 Maps in the skyThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.athropolis.com/arctic-facts/fact-ice-blink.htm Photos <strong>of</strong> ice blink (or water sky). They are notclear but that is the nature <strong>of</strong> the effect.http://www-evasion.imag.fr/Membres/Fabrice.Neyret/NaturalScenes/clouds-sky-sun/sky-radiossun/iceblink_large.jpgPhotoReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Scoresby, W. A., An Account <strong>of</strong> the Arctic Regions, vol. 1, Archibald Constable & Co., Edinburgh, 1820,pages 299-300 Stefansson, V., The Friendly Arctic, Macmillan, 1944, page 220 Moller, F., "On the backscattering <strong>of</strong> global radiation by the sky," Tellus, 17, 350-355 (1965) Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966, page 8 Catchpole, A. J. W., and D. W. Moodie, "Multiple reflection in arctic regions," Weather, 26, 157-163(1971) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 136-138 Wendler, G., F. D. Eaton and T. Ohtake, "Multiple reflection effects on irradiance in the presence <strong>of</strong>arctic stratus clouds," Journal <strong>of</strong> Geophysical Research, 86, 2049-2057 (1981)


Optics 23 Schlatter, T., "Weather Queries," Weatherwise, 35, 36-38 (1982) Hegedus, R., S. Akesson, and G. Horvath, “Polarization <strong>of</strong> ‘water-skies’ above arctic open waters: howpolynyas in the ice-cover can be visually detected from a distance,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 24, No. 1, 132- (January 2007)6.21 Brighter when it snowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Middleton, W. E. K., and A. G. Mungall, "The luminous directional reflectance <strong>of</strong> snow," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 42, 572-579 (1952) Choudhury, B. J., and A. T. C. Chang, “On the angular variation <strong>of</strong> solar reflectance <strong>of</strong> snow,” Journal <strong>of</strong>Geophysical Research, 86, No. C1, 465-472 (20 January 1981) Schlatter, T., "Weather Queries," Weatherwise, 35, 36-38 (1982) Koenderink, J. J., and W. A. Richards, “Why is snow so bright?” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 9, No. 5, 643-648 (May 1992)6.22 The end <strong>of</strong> a searchlight beamThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.star.le.ac.uk/~dbl/cfdsdisk/cfdsdisk/Skybeams/ Photos. See the third and fourth images for theUniversity <strong>of</strong> Kent CanterburyReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Hulburt, E. O., "Optics <strong>of</strong> searchlight illumination," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 36, 483-491 (1946) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 262-2636.23 Short story: Newgrange winter-solstice sunbeamThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Videos


Optics 24http://www.youtube.com/watch?v=ywLrT8b6tY4 Light from the rising sun at the winter solstice penetratesthe passage to the central chamber.http://www.youtube.com/watch?v=DbKkwCx5zyM&mode=related&search= Video montagePhotoshttp://www.travelsinireland.com/ireland/newgrang.htm Photos and information <strong>of</strong> Newgrangehttp://www.global-vision.org/ireland/stones/index.html Photos, including the beam inside Newgrangehttp://ca.geocities.com/merlino2k/ More photoshttp://web.mit.edu/planning/www/mithenge.html Photos and discussion <strong>of</strong> the sunbeam stream along the“infinite corridor” <strong>of</strong> MIThttp://futureboy.us/mithenge/ Discussion and calculation results for the MIT observationshttp://www.boston.com/news/local/massachusetts/articles/2007/02/04/yow_its_a_geeky_eureka_as_miters_see_the_light/ Boston Globe account <strong>of</strong> the MIT observationshttp://docbug.com/blog/archives/268/mithenge-yourst.jpg Photo <strong>of</strong> MIT observationhttp://upload.wikimedia.org/wikipedia/en/thumb/9/94/MIThenge.jpg/180px-MIThenge.jpg Another photohttp://www-tech.mit.edu/V124/N53/12mithengebriand.53p.html Nice photo <strong>of</strong> the MIT observationReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Patrick, J., “Midwinter sunrise at Newgrange,” Nature, 249, 517-519 (7 June 1974) Ray, T. P., “The winter solstice phenomenon at Newgrange, Ireland: accident or design?” Nature, 337,343-345 (26 January 1989) Fagan, B., “Neolithic Newgrange,” Archaeology, 47, No. 5, 16-17 (September-October 1994) MacKie, E. W., “Maeshowe and the winter solstice: ceremonial aspects <strong>of</strong> the Orkney Grooved Wareculture,” Antiquity, 71, 272, 338-359 (1997) Goldman, S. J., “Sun worship in Cambridge. Architectural researchers at MIT found a solar alignment thathas enjoyed decades <strong>of</strong> popularity,” Sky & Telescope, 106, No. 5, 62-64 (November 2003)6.24 The green flashThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://zapatopi.net/kelvin/papers/blue_ray_<strong>of</strong>_sunrise.html Lord Kelvin’s observation <strong>of</strong> the blue flashhttp://www.inters<strong>of</strong>t.it/galaxlux/GreenFlashGallery.htm Many photos <strong>of</strong> flashes <strong>of</strong> various colors, also <strong>of</strong>sun distortionshttp://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://mintaka.sdsu.edu/GF/pictures.html Contains many links to photos <strong>of</strong> the green flashhttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.http://www.exo.net/~pauld/physics/atmospheric_optics/green_flash.htmlhttp://virtual.finland.fi/netcomm/news/showarticle.asp?intNWSAID=26137http://atmospherical.blogspot.com/search?updated-min=2006-01-01T00%3A00%3A00Z&updatedmax=2007-01-01T00%3A00%3A00Z&max-results=50Blog devoted to photos <strong>of</strong> atmospheric phenomena


Optics 25ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Ashmore, S. E., "A note on the green ray," Quarterly Journal <strong>of</strong> the Royal Meteorological Society, 71,383-384 (1945) Hulburt, E. E., "The green segment seen from an airplane," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 39,409 (1949) Jacobsen, T. S., "The green flash at sunset and at sunrise," Sky & Telescope, 12, 233-236 (1953) Kirkpatrick, P., "Green flash," American Journal <strong>of</strong> <strong>Physics</strong>, 24, 532-533 (1956) Lovell, D. J., "Green flash at sunset," American Journal <strong>of</strong> <strong>Physics</strong>, 25, 206 (1957) Ellis, J. W., "Green flash from a looming setting Sun," American Journal <strong>of</strong> <strong>Physics</strong>, 25, 387 (1957) Gorton, H. C., "Method to facilitate observation <strong>of</strong> the green flash," American Journal <strong>of</strong> <strong>Physics</strong>, 25, 586(1957) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, page 160 O'Connell, D. J. K., The Green Flash and Other Low Sun Phenomena, North Holland Publishing Co.,Amsterdam, 1958 O'Connell, D. J. K., "The green flash," Scientific American, 202, 112-122 + 189-190 (January 1960) O'Connell, D. J. K., "The green flash and kindred phenomena," Endeavor, 20, 131-137 (1961) Feibelman, W. A., "An amateur makes spectra <strong>of</strong> the aurora and photographs the Sun’s green flash" in"The Amateur Scientist," C. L. Stong, editor, Scientific American, 204, 177-188 (January 1961) Seebold, R. E., "Green flash," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 51, 237 (1961) Feibelman, W. A., "Low Sun phenomena," Applied Optics, 2, 199 (1963) Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, pages 466-467 Thackeray, A. D., "An unusual view <strong>of</strong> the green flash," Monthly Notes <strong>of</strong> the Astronomical Society <strong>of</strong>South Africa, 27, 131 (1968) Taylor, J. H., and B. T. Matthias, "Green flash from high altitude," Nature, 222, 157 + facing page <strong>of</strong>photographs (1969) Koblents, Ya. P., "Conditions attending a green flash in the Antarctic," Soviet Antarctic ExpeditionInformation Bulletin (translated from Russian), No. 73, 313-315 (1969) Wilson Jr., R. H., (letter) Sky & Telescope, 42, 327 + 351 (1971) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 152-153 Slatterey, D. P., M. Seager, and A. B. Fraser, letters, "The green ray," Weather, 27, 90-91 (1972) Shaw, G. E., "Observations and theoretical reconstruction <strong>of</strong> the green flash," Pure and AppliedGeophysics, 102, 223-235 (1973) "Observations <strong>of</strong> the green flash," Sky & Telescope, 48, 61-63 (1974) Fraser, A. B., "The green flash and clear air turbulence," Atmosphere, 13, 1-10 (1975) White, R., "A red flash," Journal <strong>of</strong> Meteorology, 1, 101-102 (1975/76) Bartholomew, J. C., "Double green flash over Western Isles," Weather, 31, 30 (1976) Stocking, F. H., "The green flash: a sporting event for astronomers," Optical Spectra, pages 82-84(September 1978) White, R., "A new theory <strong>of</strong> the green flash," Journal <strong>of</strong> Meteorology, 4, 270-277 (1979) Menat, M., "Atmospheric phenomena before and during sunset," Applied Optics, 19, No. 20, 3458-3468(15 October 1980) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 172-177 Schaefer, V. J., and J. A. Day, A Field Guide to the Atmosphere, Houghton Mifflin, 1981, page 167


Optics 26 Gerharz, R., “Observations <strong>of</strong> the green flash and slant range ‘seeing’,” Pure and Applied Geophysics,119, No. 5, 998-1002 (1981) Bohren, C. G., "The green flash" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 35, 271-275 (1982); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric<strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications, ISBN 0486417387, 1987,<strong>Chap</strong>ter 13 Floor, C., "The setting Sun," <strong>Physics</strong> Education, 17, 174-178 (1982) Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 54-57 Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,<strong>Chap</strong>ter 3 Di Cicco, D., "Observer's Page," Sky & Telescope, 65, 191 (1983) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 92-103 Zapffe, C. A., “’Stopping the Sun’ and its green flash,” Speculations in Science and Technology, 7, No.2, 115-119 (1984) Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987,chapter 13; now available from Dover Publications, ISBN 0486417387 “Bidding the day adieu,” Sky & Telescope, 74, 680 (December 1987) Allen, J. F., "Flash photography," <strong>Physics</strong> World, 7, No. 2, 20 (February 1994) Coco, M. J., "Stalking the Green Flash," Weather, 49, 31-34 (December 1996/Jan 1997) Thomas, M. E., and R. I. Joseph, “Astronomical refraction,” Johns Hopkins APL Technical Digest, 17,No. 3, 279-284 (1996) Candy, P., “The green flash,” Weather, 52, No. 3, 77-79 (1997) Smith, B. A., “Prolonging the green flash,” Sky & Telescope, 93, No. 5, 111-112 (May 1997) Young, A. T., “Green flashes and mirages,” Optics & Photonics News, 10, No. 3, 31-36 (1999), containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Young, A. T., “Sunset science. III. Visual adaptation and green flashes,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 17, No. 12, 2129-2139 (2000) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 49-52 Flanders, T., “Unusual observations,” Sky & Telescope, 108, No. 5, 80 (November 2004) Danielsen, A., (photograph) “A flash <strong>of</strong> green,” Sky & Telescope, 108, No. 5, 137 (November 2004) O’Meara, S. J., “The emerald tiara,” Sky & Telescope, 109, 82-83 (February 2005)6.25 Distortions <strong>of</strong> the low sunThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.inters<strong>of</strong>t.it/galaxlux/GreenFlashGallery.htmhttp://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://mintaka.sdsu.edu/GF/explain/simulations/inf-mir/Kaplan_photos.html Photos <strong>of</strong> solar mirageReferencesDots through indicate level <strong>of</strong> difficulty


Optics 27Journal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 39-40 Fleagle, R. G., and J. A. Businger, An Introduction to Atmospheric <strong>Physics</strong>, Academic Press, 1963, pages297-298 Cameron, W. S., J. H. Glenn, M. S. Carpenter, and J. A. O'Keefe, "Effect <strong>of</strong> refraction on the setting Sunas seen from space in theory and observation," The Astronomical Journal, 68, 348-351 (1963) Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, page 470 photographs, National Geographic, 128, 682-683 (1965); 135, 370-371 (1969) Irwin, J. B., "The case <strong>of</strong> the setting Sun," Sky & Telescope, 54, 167-170 (1977) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, pages 151-154 Menat, M., "Atmospheric phenomena before and during sunset," Applied Optics, 19, No. 20, 3458-3468(15 October 1980) Floor, C., "The shape <strong>of</strong> the low Sun," Weather, 36, 78-81 (1981) Floor, C., "The setting Sun," <strong>Physics</strong> Education, 17, 174-178 (1982) Floor, C., "The effect <strong>of</strong> waves on the image <strong>of</strong> the low Sun and on a reflection in water," Weather, 37,148-151 (1982) Jaquin, F., K. Steele and D. Hafemeister, "The apparent ellipticity <strong>of</strong> the setting Sun," The <strong>Physics</strong>Teacher, 20, 404-405 (1982) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 115-120 Berry, M. V., "Disruption <strong>of</strong> images: the caustic-touching theorem," Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 4, 561-569 (1987) Coombs, L., and P. Parvianinen, photographs, Sky & Telescope, 69, 680 (1987) Campbell, S., "A solar mirage," Journal <strong>of</strong> Meteorology, 13, 130 (1988) Botley, C., M., "Solar mirage," Journal <strong>of</strong> Meteorology, 13, 334 (1988) Cui, J., "A demonstration <strong>of</strong> the apparent ellipticity <strong>of</strong> the rising or setting Sun," The <strong>Physics</strong> Teacher, 29,566 (1991) Pascuzzi, E., photographs, Sky & Telescope, 86, 115 (1993) Gyori, L., “Determination <strong>of</strong> atmospheric refraction from the distortion <strong>of</strong> the Sun’s disc,” Astronomyand Astrophysics, 278, No. 2, 659-664 (1993) Pascuzzi, E., “Capturing the anti-sun,” <strong>Physics</strong> Teacher, 35, 553-554 (December 1997) Young, A. T., and G. W. Kattawar, “Sunset science. II. A useful diagram,” Applied Optics, 37, No. 18,3785-3792 (20 June 1998) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 46-49 + 54 Sampson, R. D., E. P. Lozowski, and A. E. Peterson, “Comparison <strong>of</strong> modeled and observed astronomicalrefraction <strong>of</strong> the setting Sun,” Applied Optics, 42, No. 3, 342-353 (20 January 2003) Sampson, R. D., E. P. Lozowski, A. E. Peterson, and D. P. Hube, “Variability in the astronomicalrefraction <strong>of</strong> the rising and setting Sun,” Publications <strong>of</strong> the Astronomical Society <strong>of</strong> the Pacific, 115, 1256-1261 (2003) Neda, Z., and S. Volkan-Kacso, “Flatness <strong>of</strong> the setting Sun,” American Journal <strong>of</strong> <strong>Physics</strong>, 71, No. 4,379-385 (April 2003) Lehn, W. H., and S. van der Werf, “Atmospheric refraction: a history,” Applied Optics, 44, No. 27, 5624-5636 (20 September 2005) Sampson, R. D., E. P. Lozowski, and A. Fathi-Nejad, “Variability in low altitude astronomical refractionas a function <strong>of</strong> altitude,” Applied Optics, 47, No. 34, H91-H94 (1 December 2008) Lehn, W. H., “Isaac Newton and the astronomical refraction,” Applied Optics, 47, No. 34, H95-H105 (1December 2008)


Optics 286.26 Red Moon during lunar eclipseThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.mreclipse.com/LEphoto/LEgallery1/LEgallery2.htmltotality.Scroll down to the red moon duringReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 295-296 Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, pages 21-22 Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 110-111 Schaefer, B. E., "Lunar visibility and the crucifixion," The Quarterly Journal <strong>of</strong> the Royal AstronomicalSociety, 31, 53-67 (1990) Schaefer, B. E., "Glare and celestial visibility," Publications <strong>of</strong> the Astronomical Society <strong>of</strong> the Pacific,103, 645-660 (1991) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 214-2156.27 Crown flashThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Schonland, B., The Flight <strong>of</strong> Thunderbolts, Clarendon Press, Oxford, 1964, pages 50-51 Vonnegut, B., "Orientation <strong>of</strong> ice crystals in the electric field <strong>of</strong> a thunderstorm," Weather, 20, 310-312(1965) Gall, J. C., and M. E. Graves, "Possible newly recognized meteorological phenomenon called crownflash," Nature, 229, 184-185 (1971) Graves, M. E., J. C. Gall, and B. Vonnegut, "Meteorological phenomenon called crown flash," Nature,231, 258 (1971) Corliss, W. R., Lightning, Auroras, Nocturnal Lights, and Related Luminous Phenomena, SourcebookProject, 1982 (PO Box 107, Glen Arm, MD 21057), pages 142-143 Weinheimer, A. J., and A. A. Few, "The electric field alignment <strong>of</strong> ice particles in thunderstorms,"Journal <strong>of</strong> Geophysical Research, 92, 14,833-14,844 (1987)


Optics 29 Caylor, I. J., and V. Chandrasekar, “Time-varying ice crystal orientation in thunderstorms observed withmultiparameter radar,” IEEE Transactions on Geoscience and Remote Sensing, 34, No. 4, 847-858 (July1996) Saunders, C. P. R., and J. S. Rimmer, “The electric field alignment <strong>of</strong> ice crystals in thunderstorms,”Atmospehric Research, 51, Nos. 3-4, 337-343 (July 1999) Foster, T. C., and J. Hallett, “The alignment <strong>of</strong> ice crystals in changing electric fields,” AtmosphericResearch, 62, Nos. 1-2, 149-169 (May 2002)Related reference Sorrentino, M., and S. G. Mason, “Rheo- and electro-optical behavior <strong>of</strong> platelets,” Journal <strong>of</strong> Colloid andInterface Science, 41, No. 1, 178-181 (October 1972)6.28 Oasis mirageThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=Sg3rLpWaFDU&feature=related Watch the horizonhttp://virtual.finland.fi/netcomm/news/showarticle.asp?intNWSAID=25722http://atmospherical.blogspot.com/search?updated-min=2006-01-01T00%3A00%3A00Z&updatedmax=2007-01-01T00%3A00%3A00Z&max-results=50Blog devoted to photos <strong>of</strong> atmospheric phenomenahttp://www.youtube.com/watch?v=gaGO-we-Fag&mode=related&search= Video <strong>of</strong> the supersonic carThrust SSC. Note the mirage due to the light coming across the desert ground.http://ctein.com/STS1_in_Desert.jpg Mirage <strong>of</strong> space shuttle on desert floorhttp://www.phys.ufl.edu/~avery/course/3400/atmosphere/mirage_inf_lynch.jpg Car on a hot streethttp://cgg-journal.com/2004-2/05/figure002.jpg Oasis mirage on a hot streethttp://www.weatherscapes.com/photo.php?cat=optics&id=w-415-32 Oasis mirage on a hot roadhttp://mintaka.sdsu.edu/GF/explain/simulations/inf-mir/Kaplan_photos.html Photos <strong>of</strong> solar mirageReferencesKosa, T., and P. Palffy-Muhoray, “Mirage mirror on the wall,” American Journal <strong>of</strong> <strong>Physics</strong>, 68, No. 12,1120-1122 (December 2000). Available athttp://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=AJPIAS000068000012001120000001&idtype=cvips&prog=normal Includes photoSee the references for item 6.30.6.29 Wall mirageThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://greatestplaces.org/mirage/reports/tim.htm Description and a sketch <strong>of</strong> a wall mirage.References


Optics 30Kosa, T., and P. Palffy-Muhoray, “Mirage mirror on the wall,” American Journal <strong>of</strong> <strong>Physics</strong>, 68, No. 12,1120-1122 (December 2000). Available athttp://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=AJPIAS000068000012001120000001&idtype=cvips&prog=normal Includes photoSee many more references, see those for the next item.6.30 Water monsters, mermen, and large-scale mirageThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://tpemiragesg3.free.fr/fata.htm Fata Morgana, really goodhttp://virtual.finland.fi/netcomm/news/showarticle.asp?intNWSAID=25722http://atmospherical.blogspot.com/search?updated-min=2006-01-01T00%3A00%3A00Z&updatedmax=2007-01-01T00%3A00%3A00Z&max-results=50Blog devoted to photos <strong>of</strong> atmospheric phenomenahttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.http://www.crystalinks.com/mirage.html Good photos, especially <strong>of</strong> the large-scale miragehttp://ctein.com/STS1_in_Desert.jpg Mirage <strong>of</strong> space shuttle on desert floorhttp://www.phys.ufl.edu/~avery/course/3400/gallery/gallery_atmosphere.html Photoshttp://epod.usra.edu/archive/epodviewer.php3?oid=38560 Mirage over waterhttp://mintaka.sdsu.edu/GF/explain/simulations/inf-mir/Kaplan_photos.html Photos <strong>of</strong> solar miragehttp://www.bbqfilm.com/public_html/images/marfa_lights.jpg Marfa lights photohttp://www.envasion.net/2003/marfa.html Marfa lights plus discussionhttp://www.texasescapes.com/TOWNS/Marfa_Texas/MarfaLightsMarfaTexasMysteryLightsFestival.htmMarfa lights photohttp://www.youtube.com/watch?v=OA58r0uGCt4 How to set up Marfa-like effects at homehttp://www.youtube.com/watch?v=pfCJvh6kwcQ&feature=related Marfa lights videohttp://www.youtube.com/watch?v=hWgxY5yJqVk&feature=related Many photos <strong>of</strong> Marfa lightsReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Botley, C. M., "Meteorology and monsters," Quarterly Journal <strong>of</strong> the Royal Meteorological Society, 60,395 (1934) Vollprecht, R., "The 'cold mirage' in Western Australia," Weather, 2, 174-178 (1947) Ives, R. L., "Meteorological conditions accompanying mirages in the Salt Lake desert," Journal <strong>of</strong> theFranklin Institute, 245, 457-473 (1948) Paton, J., "The optical properties <strong>of</strong> the atmosphere," Weather, 3, 243-249 (1948) Ives, R. L., "Recurrent mirages at Puerto Penasco, Sonora," Journal <strong>of</strong> the Franklin Institute, 252, 285-295(1951) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, <strong>Chap</strong>ter 4 Ashmore, S. E., "A North Wales road-mirage," Weather, 10, 336-342 (1955) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 164-166 Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, pages 75-76


Optics 31 Glenn, C. L., “The Chinook,” Weatherwise, 14, 175-182 (October 1961), see pages 181-182 Fleagle, R. G., and J. A. Businger, An Introduction to Atmospheric <strong>Physics</strong>, Academic Press, 1963, pages295-296 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, pages 469-475 Botley, C. M., "Folk-lore in meteorology," Weather, 21, 263 (1966) Ives, R. L., "The mirages <strong>of</strong> La Encantada," Weather, 23, 55-60 (1968) Crawford Jr., F. S., Waves (Berkeley <strong>Physics</strong> Course, vol. 3), McGraw-Hill, 1968, pages 391-392 Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, pages 19, 21 Bush, R. T., and R. S. Robinson, "A note on explaining the mirage," American Journal <strong>of</strong> <strong>Physics</strong>, 42, 774-775 (1974) Fraser, A. B., "Theological optics," Applied Optics, 14, No. 4, A92-A93 (April 1975) Meaden, G. T., "A meteorological explanation for some <strong>of</strong> the mysterious sightings on Loch Ness andother lakes and rivers," Journal <strong>of</strong> Meteorology, 1, 118-124 (1975/76) Fraser, A. B., and W. H. Mach, "Mirages," Scientific American, 234, 102-111 + 136 (January 1976) Sawatzky, H. L., and W. H. Lehn, "The arctic mirage and the early North Atlantic," Science, 192, 1300-1305 (1976) Scott, P. Sir, and G. T. Meaden, "Devils and the Loch Ness monster," Journal <strong>of</strong> Meteorology, 2, 19-21(1976/77) Meaden, G. T., note, Journal <strong>of</strong> Meteorology, 2, 262-263 (1976/77) Khular, E., K. Thyagarajan, and A. K. Ghatak, "A note on mirage formation," American Journal <strong>of</strong><strong>Physics</strong>, 45, 90-92 (1977) Dyson, P. L., "Comment on explaining the mirage," American Journal <strong>of</strong> <strong>Physics</strong>, 45, 879-880 (1977) Lehn, W. H., and M. B. El-Arini, "Computer-graphics analysis <strong>of</strong> atmospheric refraction," AppliedOptics, 17, 3146-3151 (1978) Lehn, W., H. L. Sawatzky, and I. Schroeder, "Lore, logic and the arctic mirage," Scandinavian Review, 66,no. 2, 36-41 (June 1978) Sastry, G. P., "Teaching mirages," American Journal <strong>of</strong> <strong>Physics</strong>, 46, 765 (1978) White, R., "More examples <strong>of</strong> magnifying mirages," Journal <strong>of</strong> Meteorology, 3, 76-77 (1978) "Mirages in the Humber Estuary, May 1978," Journal <strong>of</strong> Meteorology, 4, 17 (1979) Latham, W., "Remarkable mirage at Hastings July 1797," Journal <strong>of</strong> Meteorology, 4, 18-20 (1979) Lehn, W. H., "Atmospheric refraction and lake monsters," Science, 205, 183-185 (1979) Lehn, W. H., and I. I. Schroeder, "Polar mirages as aids to Norse navigation," Polarforschung, 49, 173-187(1979) Lehn, W. H., "The Novaya Zemlya effect: an arctic mirage," Journal <strong>of</strong> the Optical Society <strong>of</strong> America,69, 776-781 (1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Fraser, A. B., "Simple solution for obtaining a temperature pr<strong>of</strong>ile from the inferior mirage," AppliedOptics, 18, 1724-1731 (1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Lehn, W. H., "On the sighting <strong>of</strong> distant unidentified objects," Journal <strong>of</strong> Atmospheric and Terrestrial<strong>Physics</strong>, 42, 471-475 (1980) "Two meteorologists views <strong>of</strong> lake monster sightings," and "Unidentified lake phenomenon," Journal <strong>of</strong>Meteorology, 5, 23-25 (1980) Botley, C. M., "Unidentified lake phenomena," Journal <strong>of</strong> Meteorology, 5, 156 (1980) Scoresby, W., A Voyage to the Whale Fishery, Caedmon Reprints, 1980, pages 144 ff Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, <strong>Chap</strong>ter 7 Lubkin, G. B., "New light on Novaya Zemlya polar mirage," <strong>Physics</strong> Today, 34, 21-22 (1981)


Optics 32 Lehn, W. H., and B. A. German, "Novaya Zemlya effect: analysis <strong>of</strong> an observation," Applied Optics, 20,2043-2047 (1981) Lehn, W. H., and I. Schroeder, "The Norse merman as an optical phenomenon," Nature, 289, 362-366(1981) Thompson, A. H., "The College Station, Texas, superior mirage <strong>of</strong> 3 October 1980," Monthly WeatherReview, 109, 2243-2244 (1981) Fabri, E., and G. Fiorio, "Mirage in the laboratory," American Journal <strong>of</strong> <strong>Physics</strong>, 50, 517-520 (1982) Floor, C., "Investigating mirages with an astronomical telescope," <strong>Physics</strong> Education, 18, 80-82 (1983) Shilton, P., "The Min Min light," Journal <strong>of</strong> Meteorology, 8, 248-250 (1983) Tennakone, K., "A mirage from a laser," American Journal <strong>of</strong> <strong>Physics</strong>, 51, 270-271 (1983) Lehn, W. H., "Inversion <strong>of</strong> superior mirage data to compute temperature pr<strong>of</strong>iles," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 73, 1622-1625 (1983), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Mulholland, D., "What are those lights?" Science 84, 5, 32 (March 1984) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 137-157 Tape, W., "The topology <strong>of</strong> mirages," Scientific American, 252, 120-129 + 136 (June 1985) Lehn, W. H., and J. S. Morrish, "A three-parameter inferior mirage model for optical sensing <strong>of</strong> surfacelayer temperature pr<strong>of</strong>iles," IEEE Transactions on Geoscience and Remote Sensing, GE-24, 940-946 (1986) Matthias, A. D., and N. Ferguson, “Superior-mirage photographs: evidence <strong>of</strong> complex air temperaturepr<strong>of</strong>iles in Sonoran Desert valleys,” Bulletin <strong>of</strong> the American Meteorolgical Society, 67, No. 10, 1266-1271(October 1986) Lown, K. R., and K. Bignell, letters, "Mirage over Thames Estuary," Weather, 42, 393 (1987) Greenler, R. G., "Laboratory simulation <strong>of</strong> inferior and superior mirages," Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 4, 589-590 + plates V-XIII (1987), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Campbell, S., "Mirage <strong>of</strong> a mountain?" Journal <strong>of</strong> Meteorology, 12, 157-159 (1987) Rowe, M. W., "Whirlwinds, sea-serpents and the Loch Ness monster," Journal <strong>of</strong> Meteorology, 12, 269-271 (1987) Thomas, F. G., "Mirages," Journal <strong>of</strong> Meteorology, 12, 286 (1987) Campbell, S., "Mirage over Edinburgh," Journal <strong>of</strong> Meteorology, 12, 308-313 (1987) Campbell, S., "A solar mirage," Journal <strong>of</strong> Meteorology, 13, 130 (1988) Botley, C. M., "Solar mirage," Journal <strong>of</strong> Meteorology, 13, 334 (1988) Barker, P. R., P. R. M. Cr<strong>of</strong>ts and M. Gal, "A superior 'superior' mirage," American Journal <strong>of</strong> <strong>Physics</strong>,57, 953-954 (October 1989) Bohren, C., "Highway mirages" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 42, 224-227 (1989) White, R., "Mirage: multiple images," Applied Optics, 29, 3204-3206 (1990) Rees, W. G., "Mirages with linear image diagrams," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 7, 1351-1354 (1990) Berger, M., T. Trout, and N. Levit, "Ray tracing mirages," IEEE Computer Graphics and Applications, 10,36-41 (May 1990) Davis, J. F., and T. B. Greenslade Jr., "Computer modeling <strong>of</strong> mirage formation," The <strong>Physics</strong> Teacher,29, 47-48 (1991) Wallingford, J., "More on mirage formation," The <strong>Physics</strong> Teacher, 29, 485 (1991)Bohren, C. F., What Light through Yonder Window Breaks?, Wiley, 1991, pages 61-70 Lehn, W. H., and W. Friesen, "Simulation <strong>of</strong> mirages," Applied Optics, 31, 1267-1273 (1992)


Optics 33 Lindee, H., "Ghost lights <strong>of</strong> Texas," The Skeptical Inquirer, 16, 400-406 (summer 1992) Mak, S-y., "Showing the light path <strong>of</strong> a mirage," The <strong>Physics</strong> Teacher, 31, 476-477 (1993) Singh, R. N., S. S. Negi, A. K. Sahay, A. Singh, K. O. G. Varughese, and A. K. Walia, "Mirage formationin the thermal region," Applied Optics, 33, 3279-3280 (1994) Lehn, W. H., W. K. Silvester, and D. M. Fraser, "Mirages with atmospheric gravity waves," AppliedOptics, 33, 4639-4643 (1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4; http://www.osa.org Sozou, P. D., and G. Loizou, “Moving through a mirage,” Applied Optics, 33, No. 21, 4644-4651 (20July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong>the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org Bigg, G. R., “Back to the basics: light in the atmosphere: part 1 --- why the sky is blue,” Weather, 52, No.3, 72-77 (1997) Horvath, G., J. Gal, and R. Wehner, “Why are water-seeking insects not attracted by mirages? Thepolarization pattern <strong>of</strong> mirages,” Naturwissenschaften, 84, 300-303 (1997) Young, A. T., G. W. Kattawar, and P. Parviainen, “Sunset science. I. The mock mirage,” Applied Optics,36, No. 12, 2689-2700 (April 1997), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Lehn, W. H., “Analysis <strong>of</strong> an infrared mirage sequence,” Applied Optics, 36, No. 21, 5217-5223 (20 July1997) Lehn, W. H., and T. L. Legal, “Long-range superior mirages,” Applied Optics, 37, 1489-1494 (1998),contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Lightand Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Trankle, E., “Simulation <strong>of</strong> inferior mirages observed at the Halligen Sea,” Applied Optics, 37, 1495-1505 (1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong>the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Vollmer, M., and R. Tammer, “Laboratory experiments in atmospheric optics,” Applied Optics, 37, No. 9,1557-1568 (March 1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 van der Werf, S. Y., “Astronomical observations during Willem Barents’s third voyage to the North (1596-97), Arctic, 51, No. 2, 142-154 (June 1998) Young, A. T., and G. W. Kattawar, “Sunset science. II. A useful diagram,” Applied Optics, 37, No. 18,3785-3792 (20 June 1998) Trankle, E., “Simulation <strong>of</strong> inferior mirages observed at the Halligen Sea,” Optics Express, 5, No. 4,1495-1505 (16 August 1999) Young, A. T., “Green flashes and mirages,” Optics and Photonics News, 10, No. 3, 31-36 (1999),contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Lightand Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lee, R. L., “Looking at and through clear to cloudy skies: mirages, glories, coronas, sky color and more,1970-1999, contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong>the “Light and Color” Conferences, C. L. Adler, editor, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Kosa, T., and P. Palffy-Muhoray, “Mirage mirror on the wall,” American Journal <strong>of</strong> <strong>Physics</strong>, 68, No. 12,1120-1122 (December 2000) Lehn, W. H., “Skerrylike mirages and the discovery <strong>of</strong> Greenland,” Applied Optics, 39, No. 21, 3612-3619(20 July 2000)


Optics 34 Lehn, W. H., “Exact temperature pr<strong>of</strong>ile for the hillingar mirage,” American Journal <strong>of</strong> <strong>Physics</strong>, 69, No.5, 598-600 (May 2001) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 55-62 van der Werf, S. Y., G. P. Konnen, and W. H. Lehn, “Novaya Zemlya effect and sunsets,” AppliedOptics, 42, No. 3, 367-378 (20 January 2003) van der Werf, S. Y., G. P. Konnen, W. H. Lehn, F. Steenhuisen, and W. P. S. Davidson, “Gerrit deVeer’s true and perfect description <strong>of</strong> the Novaya Zemlya effect, 24-27 January 1597,” Applied Optics, 42,No. 3, 379-389 (20 January 2003) Vollmer, M., and R. Greenler, “Halo and mirage demonstrations in atmospheric optics,” Applied Optics,42, No. 3, 394-398 (20 January 2003) Lehn, W. H., “Bright superior mirages,” Applied Optics, 42, No. 3, 390-393 (20 January 2003) Sampson, R. D., E. P. Lozowski, A. E. Peterson, and D. P. Hube, “Variability in the astronomicalrefraction <strong>of</strong> the rising and setting Sun,” Publications <strong>of</strong> the Astronomical Society <strong>of</strong> the Pacific, 115, 1256-1261 (2003) Pettigrew, J. P., “The Min Min light and the Fata Morgana. An optical account <strong>of</strong> a mysterious Australianphenomenon,” Clinical and Experimental Optometry 86, No. 2, 109-120 (March 2003) Moravec, M., “Strange illuminations: ‘Min Min lights’ --- Australian ‘ghost light’ stories,” Fabula (Journal<strong>of</strong> Folklore Studies), 44, No. 1-2, 1-24 (2003) Fox, D., “The shining,” New Scientist, 181, 70-71 (3 January 2004) Richey, L., B. Stewart, and J. Peatross, “Creating and analyzing a mirage,” <strong>Physics</strong> Teacher, 44, 460-464(October 2006) Zhao, Y., Y. Han, Z. Fan, F. Qiu, Y-C. Kuo, A. E. Kaufman, and K. Mueller, “Visual simulation <strong>of</strong> heatshimmering and mirage,” IEEE Transactions on Visualization and Computer Graphics, 13, No. 1, 179-189(January/February 2007) Darack, Ed., “Unlocking the atmospheric secrets <strong>of</strong> the Marfa mystery lights,” Weatherwise, 61, No. 3, 36-43 (May/June 2008) Vollmer, M., “Mirrors in the air: mirages in nature and in the laboratory,” <strong>Physics</strong> Education, 44, No. 2,165-174 (March 2009) Lopez-Arias, T., G. Calza, L. M. Gratton, and S. Oss, “Mirages in a bottle,” <strong>Physics</strong> Education, 44, No.6, 582-588 (November 2009) Branca, M., “Simulation <strong>of</strong> the Inferior Mirage,” The <strong>Physics</strong> Teacher, 48, 372-373 (September 2010)Related reference Blake, A., and H. Bulth<strong>of</strong>f, “Does the brain know the physics <strong>of</strong> specular reflection?” Nature, 343, 165-168 (11 January 1990)6.31 A ghost among the flowersThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Botley, C. M., "Mirages -- what's in a name?" Weather, 20, 22-24 (1965)


Optics 356.32 Shimmy and twinkling starsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Mikesell, A. H., A. A. Hoag, and J. S. Hall, "The scintillation <strong>of</strong> starlight," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 41, 689-695 (1951) Gifford, F., and A. H. Mikesell, "Atmospheric turbulence and the scintillation <strong>of</strong> starlight," Weather, 8,195-197 (1953)Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 63-71 Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 166-169 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, pages 462-466Middleton, W. E. K., Vision through the Atmosphere, University <strong>of</strong> Toronto Press, 1968, pages 80-81 Burke, J. J., "Observations <strong>of</strong> the wavelength dependence <strong>of</strong> stellar scintillation," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 60, 1262-1264 (1970) Young, A., "Saturation <strong>of</strong> scintillation," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 60, 1495-1500 (1970) Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, pages 17-19 Barocas, V., “Atmospheric seeing,” Journal <strong>of</strong> the British Astronomical Association, 82, No. 4, 279-281(1972) Lawrence, E. N., “Large air-temperature lapse-rates near the ground,” Weather, 27, 27-30 (1972) Wesely, M. L., and Z. I. Derzko, "Atmospheric turbulence parameters from visual resolution," AppliedOptics, 14, 847-853 (1975) Peters, W. N., "Phenomenological model <strong>of</strong> scintillation," Applied Optics, 15, 2511-2519 (1976) Jakeman, E., G. Parry, E. R. Pike and P. N. Pusey, "The twinkling <strong>of</strong> stars," Contemporary <strong>Physics</strong>, 19,127-145 (1978) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, p. 170-171 Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 146-147 Schlatter, T., "Phantom cold fronts and scintillating shadows" in "Weather Queries," Weatherwise, 45, 42-43 (April/May 1992) Huebner, J. S., and T. L. Smith, “Why magnification works,” <strong>Physics</strong> Teacher, 32, 102-103 (February1994) Huebner, J. S., and T. L. Smith, (letter) "More on twinkling," The <strong>Physics</strong> Teacher, 32, 263 (1994) Navarro, R., and M. A. Losada, “Shape <strong>of</strong> stars and optical quality <strong>of</strong> the human eye,” Journal <strong>of</strong> theOptical Society <strong>of</strong> America A, 14, No. 2, 353-359 (February 1997) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 536.33 Shadow bands


Optics 36This item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.strickling.net/shadowbands.htmhttp://www.science-frontiers.com/sf123/sf123p04.htmhttp://www.liv.ac.uk/~ggastro/ES.obs.htmlhttp://www.youtube.com/watch?v=Y0EhEKetT0I Video, I cannot see the bands but I can see the pinholeimagesReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Ives, R. L., "Sunset shadow bands," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 35, 736 (1945) Paulton, E. M., "Observing and reporting shadow bands," Sky & Telescope, 18, 627-628 (1959) Paulton, E. M., "Eclipse shadow band motion -- an illusion?" Sky & Telescope, 25, 328-329 (1963) Hults, M., letter, Sky & Telescope, 33, 147-148 (1967) Burgess, R. D., and M. E. Hults, "A shadow-band experiment," Sky & Telescope, 38, 95 (1969) Young, A. T., letter, Sky & Telescope, 38, 309 (1969) Paulton, E. M., "Recording shadow bands at the March eclipse," Sky & Telescope, 39, 132-133 (1970) Hults, M. E., R. D. Burgess, D. A. Mitchell, and D. W. Warn, "Visual, photographic and photoelectricdetection <strong>of</strong> shadow bands at the March 7, 1970, solar eclipse," Nature, 231, 255-258 (1971) Susel, F. M., "Recording the eclipse shadow bands on magnetic tape," Journal <strong>of</strong> the Royal AstronomicalSociety <strong>of</strong> Canada, 65, 273-276 (1971) Quann, J. J., and C. J. Daly, "The shadow band phenomenon," Journal <strong>of</strong> Atmospheric and Terrestrial<strong>Physics</strong>, 34, 577-583 (1972) Kerr, D. E., G. G. Sivjee, W. McKinney, P. Takacs, and W. G. Fastie, "Brightness <strong>of</strong> forbidden OI linesand properties <strong>of</strong> shadow bands during the eclipse <strong>of</strong> 7 March 1970," Journal <strong>of</strong> Atmospheric and Terrestrial<strong>Physics</strong>, 34, 585-592 (1972) Young, A. T., "The problem <strong>of</strong> shadow band observations," Sky & Telescope, 43, 291-292 (1972) Stanford Jr., A. L., "On shadow bands accompanying total solar eclipses," American Journal <strong>of</strong> <strong>Physics</strong>,41, 731-733 (1973) Feldman, R. L., "On shadow bands accompanying total solar eclipses," American Journal <strong>of</strong> <strong>Physics</strong>, 42,1024-1026 (1974) Seykora, E. J., "Observations <strong>of</strong> eclipse shadow bands and related phenomena," Applied Optics, 18, 3538-3539 (1979) Marschall, L. A., R. Mahon and R. C. Henry, "Observations <strong>of</strong> shadow bands at the total solar eclipse <strong>of</strong>16 February 1980," Applied Optics, 23, 4390-4393 (1984) Marschall, L. A., "Shadow bands --- solar eclipse phantoms," Sky & Telescope, 67, 116-118 (1984) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 133-135, 189-195 Codona, J. L., “The scintillation theory <strong>of</strong> eclipse shadow bands,” Astronomy and Astrophysics, 164,415-427 (1986) Codona, J. L., “The enigma <strong>of</strong> shadow bands,” Sky and Telescope, 81, 482-487 (1991) Jones, B. W., and C. A. L. Jones, “Shadow bands during the total solar eclipse <strong>of</strong> 11 July 1991,” Journal<strong>of</strong> Atmosphereic and Terrestrial <strong>Physics</strong>, 56, No. 12, 1535-1543 (1994) Jones, B. W., “Shadow bands during the total solar eclipse <strong>of</strong> 26 February 1998,” Journal <strong>of</strong> Atmosphericand Solar-Terrestrial <strong>Physics</strong>, 61, 965-974 (1999)


Optics 37 Jones, B. W., “Shadow bands during the total solar eclipse <strong>of</strong> 3 November 1994,” Journal <strong>of</strong> Atmosphericand Terrestrial <strong>Physics</strong>, 58, No. 12, 1309-1316 (1996) Schlatter, T., “Phantom cold fronts and scintillating shadows,” in “Weather Queries,” Weatherwise, 45,42-43 (April/May 1992) Marchant, J., and B. Fox, “A piece <strong>of</strong> the action,” New Scientist, 163, 24 (7 August 1999) O’Meara, S. J., “Searching for shadow bands,” Astronomy, 37, No. 4, 18-19 (April 2009) Reynolds, M., (photo), shadow bands on clouds, Astronomy, 38, No. 12, 70 (December 2010)6.34 The 22 halo and sun dogsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=kvI6YuvpSWY&feature=related Halos appear as clouds move throughthe appropriate region <strong>of</strong> the skyhttp://www.youtube.com/watch?v=o8h9AXFVIKg&feature=related sun dogs, as clouds move through thecorrect regionhttp://www.youtube.com/watch?v=NGkNLkryKDc&feature=relatedhttp://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://hyperphysics.phy-astr.gsu.edu/hbase/atmos/atmoscon.html#c1http://ww2010.atmos.uiuc.edu/(Gh)/guides/mtr/opt/ice/sd.rxml Photo and diagram <strong>of</strong> how the light rayspass through the falling ice crystalshttp://explorenorth.com/library/weekly/aa112699.htmhttp://www.phys.ufl.edu/~avery/course/3400/gallery/gallery_atmosphere.htmlReferencesSee the references for the following item.6.35 A sky full <strong>of</strong> halos, arcs, and spotsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Videoshttp://www.youtube.com/watch?v=RxKlNa4gDOw&NR=1 very nice animation showing the various arcsthat appear, as a function <strong>of</strong> the sun’s elevationhttp://www.youtube.com/watch?v=qrh_fxKwBlM&feature=related I cannot explain this displayhttp://www.youtube.com/watch?v=y1mGWLxwrgchttp://www.youtube.com/watch?v=dWZfYEhVwQohttp://www.youtube.com/watch?v=gkG7AZdFrXohttp://www.youtube.com/watch?v=BSG8KXjvyQMhttp://www.youtube.com/watch?v=E7ERoddsTJw&NR=1http://www.youtube.com/watch?v=t4GZCOd0mqo


Optics 38Photoshttp://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://ww2010.atmos.uiuc.edu/(Gh)/guides/mtr/opt/ice/sd.rxml Photo and diagram <strong>of</strong> how the light rayspass through the falling ice crystalshttp://hyperphysics.phy-astr.gsu.edu/hbase/atmos/atmoscon.html#c1http://www.phys.ufl.edu/~avery/course/3400/gallery/gallery_atmosphere.htmlReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Neuberger, H., "Forcasting significance <strong>of</strong> halos in proverb and statistics," Bulletin <strong>of</strong> the AmericanMeteorological Society, 22, 105-108 (1941) Botley, C. M., "Halos and coronae," Weather, 1, 85-88 + plate III (1946) Stevens, G. C., and S. Fritz, "Two halo displays over eastern U. S. in December 1948," Bulletin <strong>of</strong> theAmerican Meteorological Society, 31, 318-321 (1950) Squire, C. F., "Note on reflection and diffraction from ice crystals in the sky," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 42, 782 (1952) Jacquinot, P., and C. Squire, "Note on reflection and diffraction from ice crystals in the sky," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 43, 318 (1953) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 190ff Lacy, R. E., "The halo display <strong>of</strong> 2 March 1954," Weather, 9, 206-215 (1954) Botley, C. M. "Parry <strong>of</strong> the Parry arc," Weather, 10, 343-345 (1955) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 169ff Singleton, F., M. J. Kerley, and D. J. Smith, "Recent observations from aircraft <strong>of</strong> some rare halophenomena," Weather, 15, 98-102 (1960) Rey, C. R., "Sun pillar and arc <strong>of</strong> contact," Weather, 15, 406-407 (1960) Georgi, J., "A 22 halo represented by the photographic sky-mirror," Weather, 18, 135-138 + 145 (1963) Scorer, R. S., "Rare halo in 'arctic smoke'," Weather, 18, 319 (1963) Scorer, R. S., “A white horizontal arc through the antisolar point,” Quarterly Journal <strong>of</strong> the RoyalMeteorological Society, 89, 151 (1963) Fleagle, R. G., and J. A. Businger, An Introduction to Atmospheric <strong>Physics</strong>, Academic Press, 1963, pages298-299 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, <strong>Chap</strong>ters 4 and 5 Jones, G. A., and K. J. Wiggins, "Halo phenomena at Odiham," Weather, 19, 289-290 (1964) Goldie, E. C. W., (letter) "Observation <strong>of</strong> a rare halo," Weather, 19, 328 (1964) Mattsson, J. O., "Experimental optical phenomena," Weather, 21, 14-15 + 19 (1966) Davies, P. W., "Upper tangent arc to the 22 solar halo," Weather, 21, 138-139 (1966) Minnaert, M., "An exceptional phenomenon <strong>of</strong> atmospheric optics: a one-sided mocksun at 3 30',"Weather, 21, 250-251 (1966) Minnaert, M., (letter) “Mock-sun close to the Sun,” Weather, 22, 37 (1967) Botley, C. M., (letter) "Mock-suns close to the Sun and lateral mirage," Weather, 22, 260 (1967) Botley, C. M., "The Hereford halo complex," Weather, 22, 386 (1967) Scorer, R., and H. Wexler, Cloud Studies in Colour, Pergamon Press, 1967, pages 24ff Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 78-79 Minnaert, M., "Unusual or neglected optical phenomena in the landscape," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 58, 297-303 (1968), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s


Optics 39Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Goldie, E. C. W., and J. M. Heighes, "The Berkshire halo display <strong>of</strong> 11 May 1965," Weather, 23, 61-69(1968) Scutt, R., (letter) "Arcs <strong>of</strong> Lowitz," Weather, 23, 525 (1968) Deirmendjian, D., "Sun's image on airborne ice crystals?" Applied Optics, 7, 556 (1968) Barmore, F. E., "Comments on Sun’s image on airborne ice crystals," Applied Optics, 7, 1654 (1968) Neuberger, H., "When a rare halo is photographed, a jet contrail is not important," Bulletin <strong>of</strong> theAmerican Meteorological Society, 49, 1060 (1968) Fraser, A. B., and Houghton, J. T., (letter) "Specular reflection in cloud," Weather, 24, 160-162 (1969) Goldie, E. C. W., (letter) “Halo <strong>of</strong> 22 May 1969,” Weather, 24, 378 (1969) Booth, B. J., (letter) “Unusual lunar arc,” Weather, 25, 135 (1970) Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, <strong>Chap</strong>ter 4 Winstanley, D., "Halo phenomena over Oxford on 12 June 1969," Weather, 25, 131 (1970) Tricker, R. A. R., "A note on the Lowitz and associated arc," Weather, 25, 503 (1970) Larmore, L., and F. F. Hall Jr., "Optics for the airborne observer," The Journal <strong>of</strong> the Society <strong>of</strong> Photo-Optical Instrumentation Engineers, 9, 87-94 (February/March 1971) Jacobowitz, H., "A method for computing the transfer <strong>of</strong> solar radiation through clouds <strong>of</strong> hexagonal icecrystals," Journal <strong>of</strong> Quantative Spectroscopy and Radiative Transfer, 11, 691-695 (1971) Ripley, E. A., and B. Saugier, "Photometeors at Saskatoon on 3 December 1970," Weather, 26, 150-157 +Figs. 2 and 3 (1971), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Goldie, E. C. W., "A graphical guide to haloes," Weather, 26, 391-393 (1971) Verschure, P. P. H., "Rare halo displays in Amsterdam," Weather, 26, 532-536 (1971) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 140ff Tricker, R. A. R., "Observations on certain features to be seen in a photograph <strong>of</strong> haloes taken by Dr.Emil Schulthess in Antarctia," Quarterly Journal <strong>of</strong> the Royal Meteorological Society, 98, 542-562 (1972) Jayaweera, K. O. L. F., and G. Wendler, "Lower Parry arc <strong>of</strong> the Sun," Weather, 27, 50-53 (1972) Evans, W. F. J., and R. A. R. Tricker, "Unusual arcs in the Saskatoon halo display," Weather, 27, 234-238(1972), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 photographs, Weather, 27, 240 (1972) Ohtake, T., and K. O. L. F. Jayaweers, "Ice crystal displays from power plants," Weather, 27, 271-277(1972) Brain, J. P., "Halo phenomena -- an investigation," Weather, 27, 409-410 (1972) Greenler, R. G., and A. J. Mallmann, "Circumscribed halos," Science, 176, 128-131 (1972) Greenler, R. G., M. Drinkwine, A. J. Mallmann, and G. Blumenthal, "The origin <strong>of</strong> sun pillars," AmericanScientist, 60, 292-302 + cover (1972) Tricker, R. A. R., "A simple theory <strong>of</strong> certain heliacal and anthelic halo arcs. The long hexagonal ice prismas a kaleidoscope," Quarterly Journal <strong>of</strong> the Royal Meteorological Society, 99, 649-656 (1973), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Rott, H., "Sub-sun and sub-parhelion," Weather, 28, 65 (1973) Mattsson, J. O., "'Sub-sun' and light-pillars <strong>of</strong> street lamps," Weather, 28, 66-68 (1973) Tricker, R. A. R., "A note on J. R. Blake's 'Circumscribed halo'," Weather, 28, 159-160 (1973) Robertson, G. W., "Unusual halo phenomenon at Swift Current," Weather, 29, 113-115 (1974) Mattsson, J. O., "Experiments on horizontal halos in divergent light," Weather, 29, 148-150 (1974)


Optics 40 Tricker, R. A. R., (letter) "Double tangent arc," Weather, 29, 276-277 (1974) Peterson, R. E., "Halo display in Indiana 10 January 1973," Weather, 29, 277 (1974) Tricker, R. A. R., "Note on a circumscribed halo," Weather, 29, 345 (1974) Lenggenhager, V. K., "Zur Vereinheitlichung der Hal<strong>of</strong>ormen nach Scheiner, Greshow und Parry,"Zeitschrift fur Meteorologie, 24, 262-266 (1974) Turner, F. M., and L. F. Radke, "A rare observation <strong>of</strong> the 8 halo," Weather, 30, 150-156 (1975) Tricker, R. A. R., "Unusual halo phenomenon at Swift Current," Weather, 30, 162-165 (1975) Konnen, G. P., and B. Zwart, "The subsun on satellite pictures," Weather, 30, 372-373 (1975) White, R., "Some recent research on haloes," Journal <strong>of</strong> Meteorology, 1, 158-159 (1975/76); correction,page 234 White, R., "Some hints on recording the development <strong>of</strong> haloes," Journal <strong>of</strong> Meteorology, 1, 194-196(1975/76) White, R., "Two observations <strong>of</strong> the Parry arc, and other haloes," Journal <strong>of</strong> Meteorology, 1, 216-219(1975/76) White, R., "Some comments on G. T. Meaden's letter 'Sun pillar in the virga <strong>of</strong> altocumulus floccus',"Journal <strong>of</strong> Meteorology, 1, 321-323 (1975/76) White, R., "An analytic theory <strong>of</strong> certain halo arcs," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 66, 768-772 (1976) Goldie, E. C., G. T. Meaden and R. White, "The concentric halo display <strong>of</strong> 14 April 1974," Weather, 31,304-312 (1976) Cooley, J. R., "Red pillar at sunset," Weather, 31, 270 (1976) Greenler, R. G., A. J. Mallmann, J. R. Mueller and R. Romito, "Form and origin <strong>of</strong> the Parry arcs,"Science, 195, 360-367 (1977) Cardon, B. L., "An unusual lunar halo," American Journal <strong>of</strong> <strong>Physics</strong>, 45, 331-335 (1977) White, R., "Intensity plots <strong>of</strong> the parhelia," Quarterly Journal <strong>of</strong> the Royal Meteorological Society, 103,169-175 (1977) Verploegh, G., "Observation <strong>of</strong> the lower tangential arc to the halo <strong>of</strong> 22," Weather, 32, 355 (1977) Ripley, E. A., "Meteorological conditions during halo displays," Weather, 32, 463-467 (1977) Konnen, G. P., "Polarisation <strong>of</strong> haloes and double refraction," Weather, 32, 467-468 (1977) "Solar halo complexes," Sky & Telescope, 54, 185-187 (1977) Lynch, D. K., "Atmospheric halos," Scientific American, 238, 144-152 + 164 (April 1978) Jehn, K. H., and K. Zimmermann, "Spectacular circumhorizontal arc over Austin, Tex.," Bulletin <strong>of</strong> theAmerican Meteorological Society, 59, 170-171 (1978) Jehn, K. H., "Another circumhorizontal arc in Central Texas!" Bulletin <strong>of</strong> the American MeteorologicalSociety, 59, 816 (1978) Wadsworth, D. J., (letter) "Solar halo <strong>of</strong> 15 degrees - 30 April 1977," Weather, 33, 113-114 (1978) White, R., (letter) "Red pillar at sunset," Weather, 33, 158 (1978) Chung, Y.-S., "A brilliant display <strong>of</strong> parhelia (sun dogs)," Weather, 33, 167-172 (1978) Mattsson, J. O., “Experiments on the horizontal circle in divergent light,” Zeitschrift fur Meteorologie, 28,123-125 (1978) Kenworthy, A. T., (letter) "Solar haloes," Weather, 33, 325 (1978) Ripley, A. E., "Halo display <strong>of</strong> 9 December 1976 at Saskatoon," Weather, 34, 18-19 (1979) Meaden, G. T., "Proposed explanation for the origin <strong>of</strong> a solitary 19 degree halo," Journal <strong>of</strong> Meteorology,4, 250-252 (1979) Lynch, D. K., and P. Schwartz, "Origin <strong>of</strong> the anthelion," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69,383-386 (1979) Tricker, R. A. R., “Arcs associated with halos <strong>of</strong> unusual radii,” Journal <strong>of</strong> Optical Society <strong>of</strong> America,69, No. 8, 1093-1100 + Plate 100 (August 1979); contained on Classic Reprints on CD-ROM Vol. 1, On


Optics 41Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lynch, D. K., "Polarization models <strong>of</strong> halo phenomena. 1. The parhelic circle," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 69, 1100-1103 (1979); contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Mueller, J. R., R. G. Greenler and A. J. Mallmann, "Arcs <strong>of</strong> Lowitz," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 69, 1103-1106 (1979); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Mallmann, A. J., and R. G. Greenler, "Origins <strong>of</strong> anthelic arcs, the anthelic pillar, and the anthelion,"Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1107-1112 + Plate 101-103 (1979); contained on ClassicReprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Fraser, A. B., "What size <strong>of</strong> ice crystals causes the halos?" Journal <strong>of</strong> the Optical Society <strong>of</strong> America,69, 1112-1118 (1979); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 McDowell, R. S., "Frequency analysis <strong>of</strong> the circumzenithal arc: evidence for the oscillation <strong>of</strong> ice-crystalplates in the upper atmosphere," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1119-1122 (1979); containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Tape, W., "Geometry <strong>of</strong> halo formation," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1122-1132 +Plate 109-110 (1979); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Harris Jr., F. S., "Unusual solar halo complex," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1178 (1979) Mallmann, J., "Halos, rings, and arcs in the sky," Astronomy, 7, 42-46 (April 1979) Greenler, R. G., J. R. Mueller, W. Hahn, and A. J. Mallmann, "The 46 halo and its arcs," Science, 206,643-649 (1979) Meaden, G. T., "Solar halo display in falling ice-fog crystals," Weather, 34, 329-330 (1979) White, R., "Parry arc observations," Weather, 34, 330-331 (1979) Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, <strong>Chap</strong>ters 2 – 4 Mallmann, A. J., and R. G. Greenler, "Comments on the appearance <strong>of</strong> anthelic arcs," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 70, 1029 (1980) Fraser, A. B., and G. J. Thompson, "Analytic sun pillar model," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 70, 1145-1148 (1980) Tape, W., "Analytic foundations <strong>of</strong> halo theory," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 70, 1175-1192 (1980) Bengtson, H., "Halo round Venus," Weather, 35, 59 (1980) Greenler, R. G., A. J. Mallmann, and J. R. Mueller, "Complex ice-crystal halo phenomena: skyarchaeology," Weather, 35, 346-353 (1980) Holland-Jones, H. M., "Solar halo complex, 29 September 1979," Journal <strong>of</strong> Meteorology, 5, 120-121(1980) White, R., "Halos <strong>of</strong> unusual radii," Journal <strong>of</strong> Meteorology, 5, 187-188 (1980) Gedzelman, S. D., “Visibility <strong>of</strong> halos and rainbows,” Applied Optics 19, 3068-3074 (1980), containedon Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Whalley, E., "Scheiner's halo: evidence for ice Ic in the atmosphere," Science, 211, 389-390 (1981)


Optics 42 White, R., "Visibility <strong>of</strong> halos and rainbows: comment," Applied Optics, 20, 1730 (1981) White, R., (letter) "Lateral tangential halo arc <strong>of</strong> 46 degrees," Journal <strong>of</strong> Meteorology, 6, 60-61 (1981) White, R., "On the halos in the Handbook <strong>of</strong> Unusual Natural Phenomena," Journal <strong>of</strong> Meteorology, 6,133-140 (1981) White, R., "Further note on an observation <strong>of</strong> halos on 15 October 1975," Journal <strong>of</strong> Meteorology, 6, 197-198 (1981) White, R., "Lateral tangential halo arcs <strong>of</strong> 46 degrees: reply to comment," Journal <strong>of</strong> Meteorology, 6, 293-294 (1981) Verschure, P. P. H., "A cloudbow in cirrostratus," Weather, 37, 16-19 (1982) Tape, W., "Folds, pleats, and halos," American Scientist, 70, 467-474 (1982) Konnen, G. P., "Polarization and intensity distributions <strong>of</strong> refraction halos," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 73, 1629-1640 + Plate II (1983); contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Tape, W., "Some ice crystals that made halos," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 73, 1641-1645 +Plates III-VI (1983); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 White, R., "The formation <strong>of</strong> halos in the atmosphere by pyramidal ice crystals," Journal <strong>of</strong> Meteorology,8, 20-25 (1983) Woolner, P. L., "Lunar halo display <strong>of</strong> 7 February 1982," Journal <strong>of</strong> Meteorology, 9, 178 (1984) White, R., "Comments on Mr. Woolner's halo observation <strong>of</strong> 7 February 1982," Journal <strong>of</strong> Meteorology, 9,179-183 (1984) Pattloch, F., and E. Trankle, "Monte Carlo simulation and analysis <strong>of</strong> halo phenomena," Journal <strong>of</strong> theOptical Society <strong>of</strong> America A, 1, 520-526 (1984) Whalley, E., and G. E. McLaurin, "Refraction halos in the solar system. I. Halos from cubic crystals thatmay occur in atmospheres in the solar system," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 1, 1166-1174(1984) Greenler, R. G., and E. Trankle, "Anthelic arcs from airborne ice crystals," Nature, 311, 339-343 (1984) Nyberg, A., "An old painting <strong>of</strong> a halo phenomenon in Stockholm cathedral," Weather, 39, 84-87 (1984) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 40-81 Lynch, D. K., and P. Schwartz, "Intensity pr<strong>of</strong>ile <strong>of</strong> the 22 halo," Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 2, 584-589 (1985) Verschure, P. P. H., "A complex solar halo," Weather, 41, 328-335 (1986) Weinheimer, A. J., "What size <strong>of</strong> ice crystals causes the halos?: Comment," Journal <strong>of</strong> the Optical Society<strong>of</strong> America A, 3, 376-377 (1986) Sassen, K. "Polarization and Brewster angle properties <strong>of</strong> light pillars," Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 4, 570-580 (1987); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Hallett, J., "Faceted snow crystals," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 4, 581-588 + plates I-IV (1987); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong>the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Trankle, E., and R. G. Greenler, "Multiple-scattering effects in halo phenomena," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America A, 4, 591-599 + Plate XIV (1987); contained on Classic Reprints on CD-ROM Vol. 1,On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4


Optics 43 Pluchino, A., “Scattering photometer for measuring single ice crystals and evaporation and condensationrates <strong>of</strong> liquid droplets,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 4, 614-620 (1987); contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Jones, B. O., "Circumhorizontal arc," Weather, 42, 352 + cover (1987) Weinheimer, A. J., and C. A. Knight, “Scheiner’s halo: cubic ice or polycrystalline hexagonal ice?”Journal <strong>of</strong> the Atmospheric Sciences, 44, No. 21, 3304-3308 (1 November 1987) Weinheimer, A. J., and C. A. Knight, letter, Scientific American, 257, 8 + 13 (October 1987) Verschure, P.-P. H., "An outstanding display <strong>of</strong> the circumscribed halo," Weather, 43, 370-377 + 367(1988) Muinonen, K., K. Lumme, J. Peltoniemi, and W. M. Irvine, “Light scattering by randomly orientedcrystals,” Applied Optics, 28, No. 5, 3051-3060 (1 August 1989)Takano, Y., and K.-N. Liou, "Solar radiative transfer in cirrus clouds. Part I: Single-scattering and opticalproperties <strong>of</strong> hexagonal ice crystals," Journal <strong>of</strong> the Atmospheric Sciences, 46, 3-19 (1989) Hakumaki, J., and M. Pekkola, "Rare vertically elliptical halos," Weather, 44, 466-473 (1989) Neiman, P. J., “The Boulder, Colorado, concentric halo display <strong>of</strong> 21 July 1986,” Bulletin <strong>of</strong> theAmerican Meteorological Society, 70, No. 3, 258-264 (1989), contained on Classic Reprints on CD-ROMVol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor,1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Hattinga-Verschure, P.-P., (letter) "A beautiful spectacle in the sky," Weather, 45, 274-275 (1990) Schlatter, T., "What is it?" in "Weather Queries," Weatherwise, 44, 38-39 (June 1991) Konnen, G. P., and J. Tinbergen, "Polarimetry <strong>of</strong> a 22 halo," Applied Optics, 30, 3382-3400 (1991) Pekkola, M., "Finnish halo observing network: search for rare halo phenomena," Applied Optics, 30, 3542-3544 (1991) Bohren, C. F., and A. B. Fraser, "Newton's zero-order rainbow: unobservable or nonexistent?" AmericanJournal <strong>of</strong> <strong>Physics</strong>, 59, 325-326 (1991) Konnen, G. P., and J. Tinbergen, “Polarimetry <strong>of</strong> 22 halo,” Applied Optics, 30, No. 24, 3382-3400(1991); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Pekkola, M., “Finnish halo observing network: search for rare halo phenomena,” Applied Optics, 30, No.24, 3542-3544 + Plates 39 and 40 (1991); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Shapiro, A. E., "Comment on 'Newton's zero-order rainbow: unobservable or nonexistent?'" AmericanJournal <strong>of</strong> <strong>Physics</strong>, 60, 749-750 (1992) Le Blanco, F. W., “Optical display in Jersey---14 August 1991,” Weather, 47, 436-437 (1992) Goodge, G., "Solar circles," Weatherwise, 45, 8-9 (June/July 1992) Macke, A., "Scattering <strong>of</strong> light by polyhedral ice crystals," Applied Optics, 32, 2780-2788 (1993) Miles, H., “An unusual solar halo,” Journal <strong>of</strong> the British Astronomical Association, 103, No. 5, 215(1993) Schaaf, F., "The near sky: circumhorizontal arcs," 88, 75 (July 1994) Riikonen, M., and J. Ruoskanen, “Observations <strong>of</strong> vertically elliptical halos,” Applied Optics, 33, No. 21,4537-4538 + Plates 1-4 (1994); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Berry, M. V., "Supernumerary ice-crystal halos?" Applied Optics, 33, 4563-4568 (1994); contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4


Optics 44 Konnen, G. P., S. H. Muller, and J. Tinbergen, “Halo polarization pr<strong>of</strong>iles and the interfacial angles <strong>of</strong>ice crystals,” Applied Optics, 33, 4569-4579 + Plates 20-25 (1994); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler,editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lynch, D. K., S. D. Gedzelman, and A. B. Fraser, “Subsuns, Bottlinger’s rings, and elliptical halos,”Applied Optics 33, No. 21, 4580-4589 + Plates 26-28 (1994); contained on Classic Reprints on CD-ROMVol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor,1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Sassen, K., N. C. Knight, Y. Takano, and A. J. Heymsfield, “Effects <strong>of</strong> ice-crystal structure on hal<strong>of</strong>ormation: cirrus cloud experimental and ray-tracing modeling studies,” Applied Optics, 33, No. 21, 4590-4601 (1994); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong>the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Sassen, K., T. Peter, B. P. Luc, and P. J. Crutzen, “Volcanic Bishop’s ring: evidence for a sulfuric acidtetrahydrate particle aureole,” Applied Optics, 33, No. 21, 4602-4606 + Plate 29 (1994); contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Gedzelman, S. D., “Simulating rainbows and halos in color,” Applied Optics, 33, No. 21, 4607-4613 +Plates 30-36 (1994); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Sassen, K., “Possible halo depictions in the prehistoric rock art <strong>of</strong> Utah,” Applied Optics, 33, No. 21,4756-4760 + Plate 62 (20 July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Tape, W., Atmospheric Halos, Volume 64 <strong>of</strong> the Antarctic Research Series, American Geophysical Union,1994, ISBN 0-87590-834-9 Gedzelman, S. D., “Halo heaven,” Weatherwise, 48, 34-40 (August/September 1995) Trankle, E., and M. Riikonen, “Elliptical halos, Bottlinger’s rings, and the ice-plate snow-star transition,”Applied Optics, 35, No. 24, 4871-4878 (20 August 1996), contained on Classic Reprints on CD-ROM Vol.1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Denny, M., “Calculation <strong>of</strong> the 22 halo,” European Journal <strong>of</strong> <strong>Physics</strong>, 18, 432-435 (1997) Sussmann, R., “Optical properties <strong>of</strong> contrail-induced cirrus: discussion <strong>of</strong> unusual halo phenomena,”Applied Optics, 36, No. 18, 4195-4201 (20 June 1997) Katz, J. I., “Subsuns and low Reynolds number flow,” Journal <strong>of</strong> the Atmospheric Sciences, 55, 3358-3362 (15 November 1998) Pekkola, M, M. Riikonen, J. Moilanen, and J. Ruoskanen, “Halo arcs from airborne, pyramidal ice crystalsfalling with their c axes in vertical orientation,” Applied Optics, 37, No. 9, 1435-1440 (1998); contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Mallman, A. J., J. L. Hock, and R. L. Greenler, “Comparison <strong>of</strong> Sun pillars with light pillars from nearbylight sources,” Applied Optics, 37, No. 9, 1441-1449 (1998); contained on Classic Reprints on CD-ROMVol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor,1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Konnen, G. P., “Identification <strong>of</strong> odd-radius halo arcs and 44/46 parhelia by their inner-edgepolarization,” Applied Optics, 37, No. 9, 1450-1456 (1998); contained on Classic Reprints on CD-ROMVol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor,1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4


Optics 45 Konnen, G. P., and J. Tingbergen, “Polarization structures in parhelic circles and in 120 parhelia,”Applied Optics, 37, No. 9, 1457-1464 (1998); contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Vollmer, M., and R. Tammer, “Laboratory experiments in atmospheric optics,” Applied Optics, 37, No. 9,1557-1568 (March 1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Verschure, P. H., “Thirty years <strong>of</strong> observing and documenting sky optical phenomena,” Applied Optics,37, No. 9, 1585-1588 (1998); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Tape, W., and G. P. Konnen, “A general setting for halo theory,” Applied Optics, 38, No. 9, 1552-1625(1998); contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Tape, W., “Atmospheric halos 1970-2000,” contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Sassen, K., “Cirrus clouds and halos: a closer look,” Optics & Photonics News, 10, No. 3, 39-42 (1999),contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Lightand Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Tape, W., and G. P. Konnen, “A general setting for halo theory,” Applied Optics, 38, No. 9, 1552-1625(20 March 1999) Mishchenko, M. I., and A. Macke, “How big should hexagonal ice crystals be to produce halos?” AppliedOptics, 38, No. 9, 1626-1629 (20 March 1999) Lynch, D. K., “Cirrus, ice crystals and halos,” Optics & Photonics, 11, No. 1, 32-35 (January 2000) Auriol, F., J.-F. Gayet, G. Febvre, and O. Jourdan, “In situ observation <strong>of</strong> cirrus scattering phase functionswith 22 and 46 cloud field study on 19 February 1998,” Journal <strong>of</strong> the Atmospheric Sciences, 58, 3376-3390 (15 November 2001) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 163-191 Barkey, B., M. Bailey, K. Liou, and J. Hallett, “Light-scattering properties <strong>of</strong> plate and column ice crystalsgenerated in a laboratory cold chamber,” Applied Optics, 41, No. 27, 5792-5796 (20 September 2002) Hardwick, C. J., “Simulation <strong>of</strong> the Whymer apparition,” Weather, 57, 457-463 (2002) Edge, R., “Sundogs, ice crystals, and Bernoulli,” <strong>Physics</strong> Teacher, 40, 522 (December 2002) Vollmer, M., and R. Greenler, “Halo and mirage demonstrations in atmospheric optics,” Applied Optics,42, No. 3, 394-398 (20 January 2003) Konnen, G. P., H. R. A. Wessels, and J. Tinbergen, “Halo polarization pr<strong>of</strong>iles and sampled ice crystals:observations and interpretation,” Applied Optics, 42, No. 3, 309-317 (20 January 2003) Konnen, G. P., “Symmetry in halo displays and symmetry in halo-making crystals,” Applied Optics, 42,No. 3, 318-331 (20 January 2003) Gislen, L., “Procedure for simulating divergent-light halos,” Applied Optics, 42, No. 33, 6559-6563 (20November 2003) Sassen, K., J. Zhu, and S. Benson, “Midlatitude cirrus cloud climatology from the Facility for AtmosphericRemote Sensing. IV. Optical displays,” Applied Optics, 42, No. 3, 332-341 (20 January 2003) Fantz, U., “Optical phenomena in the open air,” Contemporary <strong>Physics</strong>, 45, No. 2, 93-108 (March-April2004) Hardwick, J., “The subtlety <strong>of</strong> rainbows,” <strong>Physics</strong> World, 17, No. 2, 29-33 (February 2004)


Optics 46 Moussette, P., “Lunar halo,” Sky & Telescope, 108, No. 2, 142 (August 2004) Breon, F.-M., and B. Dubrulle, “Horizontally oriented plates in clouds,” Journal <strong>of</strong> the AtmosphericSciences, 61, 2888-2898 (2004) Gislen, L., J. O. Mattsson, and B. Soderberg, “Improved algorithm for simultations <strong>of</strong> divergent-lighthalos,” Applied Optics, 44, No. 18, 3638-3645 (20 June 2005) Vollmer, M., “Effects <strong>of</strong> absorbing particles on coronas and glories,” Applied Optics, 44, No. 27, 5658-5666 (20 September 2005) Sassen, K., “Halos in cirrus clouds: why are classic displays so rare?” Applied Optics, 44, No. 27, 5684-5687 (20 September 2005) Ulanowski, Z., “Ice analog halos,” Applied Optics, 44, No. 27, 5754-5758(20 September 2005) Ulanowski, Z., E. Hesse, P. H. Kaye, and A. J. Baran, “Light scattering by complex ice-analogue crystals,”Journal <strong>of</strong> Quantitative Spectroscopy & Radiative Transfer, 100, 382-392 (2006) Gislen, L., and J. O Mattsson, “Tabletop divergent-light halos,” <strong>Physics</strong> Education, 42, No. 6, 579-584(November 2007) Kokhanovsky, A., “The contrast and brightness <strong>of</strong> halos in crystalline clouds,” Atmospheric Research,89, 110-112 (2008) Lavigne, C., A. Roblin, and P. Chervet, “Solar glint from oriented crystals in cirrus clouds,” AppliedOptics, 47, No. 33, 6266-6276 (20 November 2008) Konnen, G. P., and C. Hinz, “Visibility <strong>of</strong> stars, halos, and rainbows during solar eclipses,” AppliedOptics, 47, No. 34, H14-H24 (1 December 2008) Tape, W., “Maximum deviation <strong>of</strong> light in a transparent wedge,” Applied Optics, 47, No. 34, H44-H51(1 December 2008) Tape, W., E. Seidenfaden, and G. P. Konnen, “The legendary Rome halo displays,” Applied Optics, 47,No. 34, H72-H84 (1 December 2008) Tape, W., “When Huygens and Mariotte agree,” Applied Optics, 47, No. 34, H85-H90 (1 December 2008) Gedzelman, S. D., “Simulating halos and coronas in their atmospheric environment,” Applied Optics,47, No. 34, H157-H166 (1 December 2008) Konnen, G. P., M. Bodo, and A. Kiricsi, “Antisolar halospot,” Applied Optics, 47, No. 34, H167-H170(1 December 2008) Luomanen, J., “Rare display <strong>of</strong> eight concentric halos in Tampere, Finland, on 5 June 2008,” AppliedOptics, 47, No. 34, H199-H202 (1 December 2008)6.36 Mountain shadowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://www.exo.net/~pauld/lectures/patternscostarica/patternsnature2004.htm Scroll down to the mountainshadow photo---all mountain shadows are triangularReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pagesReference


Optics 47 Livingston, W., and D. Lynch, "Mountain shadow phenomena," Applied Optics, 18, 265-269 + cover(1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lynch, D. K., "Mountain shadow phenomena. 2: The spike seen by an <strong>of</strong>f-summit observer," AppliedOptics, 19, 1585-1589 (1980), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders:Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America,ISBN 1-55752-621-4 Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 205-207 Leuenberger, V. (photos), S. D. Gedzelman (diagram), “Spectacular Swiss sunrise,” Weatherwise, 54, No.6, 38-40 (November/December 2001)6.37 Disappearing cloud shadowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pagesReference Plass, G. N., G. W. Kattawar and J. A. Guinn Jr., "Radiance distribution over a ruffled sea: contributionsfrom glitter, sky, and ocean," Applied Optics, 15, 3161-3165 (1976)6.38 Colors <strong>of</strong> the oceanThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 308-335 Stamm, G. L., and R. A. Langel, "Some spectral irradiance measurements <strong>of</strong> upwelling natural light <strong>of</strong>f theeast coast <strong>of</strong> the United States," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 51, 1090-1094 (1961) Duntley, S. Q., "Light in the sea," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 53, 214-233 (1963) Tyler, J. E., "Colour <strong>of</strong> 'pure water'," Nature, 208, 549-550 (1965) Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 17-19 Jerlov, N. G., Optical Oceanography, Elsevier, 1968, <strong>Chap</strong>ter 13 Rayleigh, Lord, "Colours <strong>of</strong> sea and sky" in The Royal Institution Library <strong>of</strong> Science: Physical Sciences,vol. 7, W. L. Bragg and G. Porter, eds., Elsevier, 1970, pages 93-99 Henderson, S. T., Daylight and Its Spectrum, American Elsevier, 1970, pages 201-203


Optics 48 Larmore, L., and F. F. Hall Jr., "Optics for the airborne observer," The Journal <strong>of</strong> the Society <strong>of</strong> Photo-Optical Instrumentation Engineers, 9, 87-94 (February/March 1971) Plass, G. N., T. J. Humphreys and G. W. Kattawar, "Color <strong>of</strong> the ocean," Applied Optics, 17, 1432-1446(1978) Smith, R. C., and K. S. Baker, "Optical properties <strong>of</strong> the clearest natural waters (200 - 800 nm)," AppliedOptics, 20, 177-184 (1981) Bohren, C., "Colors <strong>of</strong> the sea" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 36, 256-259 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric<strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications, ISBN 0486417387, 1987,<strong>Chap</strong>ter 20 Bohren, C., "More about colors <strong>of</strong> the sea" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 36, 311-316 (1983) Bohren, C., "Absorption by pure water: new upper bounds between 400 and 580 nm," Applied Optics, 23,2868 (1984) Gordon, H. R., R. W. Austin, D. K. Clark, W. A. Hovis, and C. S. Yentsch, "Ocean color measurements,"Advances in Geophysics, 27, 297-333 (1985) Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987,<strong>Chap</strong>ter 20; now available from Dover Publications, ISBN 0486417387 Gordon, H. R., O. B. Brown, R. H. Evans, J. W. Brown, R. C. Smith, K. S. Baker, and D. K. Clark, "Asemianalytic radiance model <strong>of</strong> ocean color," Journal <strong>of</strong> Geophysical Research, 93, 10,909-10,924 (1988) Braun, C. L., and S. N. Smirnov, “Why is water blue?” Journal <strong>of</strong> Chemical Education, 70, No. 8, 612-614(August 1993) Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color. The Fifteen Causes <strong>of</strong> Color, second edition, John Wiley& Sons, 2001, pages 74-78 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 72-756.39 Reflection glitter <strong>of</strong> Sun and MoonThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.polarimage.fi/sea/glitter.htm several glitter pathshttp://home.clara.net/rfleet/gbh/gltpath5.html Spider web glitter paths on cropsReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Hulburt, E. O., "The polarization <strong>of</strong> light at sea," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 24, 35-42(1934) Cox, C., and W. Munk, "Measurement <strong>of</strong> the roughness <strong>of</strong> the sea surface from photographs <strong>of</strong> the Sun'sglitter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 44, 838-850 (1954) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 23-27, 138-139 Tricker, R. A. R., Bores, Breakers, Waves and Wakes, American Elsevier, 1965, pages 240-246 Minnaert, M., "Unusual or neglected optical phenomena in the landscape," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 58, 297-303 (1968), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s


Optics 49Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Goodell, J. B., "On the appearance <strong>of</strong> the sea reflected sky," Applied Optics, 10, 223-225 (1971) Brandli, H. W., "Moon glint," Monthly Weather Review, 103, 655-656 (1975) Plass, G. N., G. W. Kattawar, and J. A. Guinn Jr., "Isophotes <strong>of</strong> sunlight glitter on a wind-ruffled sea,"Applied Optics, 16, 643-653 (1977) Guinn Jr., J. A., G. N. Plass, and G. W. Kattawar, "Sunlight glitter on a wind-ruffled sea: further studies,"Applied Optics, 18, 842-849 (1979) Walker, J., "How the Sun’s reflection from water <strong>of</strong>fers a means <strong>of</strong> calculating the slopes <strong>of</strong> waves" in"The Amateur Scientist," Scientific American, 251, 130-134 + 136 (June 1985) The calculations here areonly approximations. Shaw, J. A., “Glittering light on water,” Optics & Photonics News, 10, No. 3, 43-45 (1999), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 83-84 Su, W., T. P. Charlock, and K. Rutledge, “Observations <strong>of</strong> reflectance distribution around sunglint froma coastal ocean platform,” Applied Optics, 41, No. 35, 7369-7383 (10 December 2002)Related reference Munk, W., L. Armi, K. Fischer, and F. Zachariasen,” Spirals on the sea,” Proceedings <strong>of</strong> the RoyalSociety <strong>of</strong> London A, 456, 1217-1280 (2000)6.40 Rings <strong>of</strong> lightThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Commentshttp://www.taylor-arts.com/images/gallery/SquaredWaterI.jpg Photo <strong>of</strong> mast. Note the squiggles and ringsand isolated patcheshttp://barbhenry.vox.com/ Scroll down to the water reflection photohttp://www.birddigiscoping.com/blognorthshov.jpg photoReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pagesMinnaert, M., Light and Colour in the Open Air, Dover, 1954, page 21 Gold, T., "Riddle <strong>of</strong> reflections in the water," Nature, 314, 12 + cover (1985) Dewhirst, D. W., (letter) "Rings <strong>of</strong> light," Nature, 314, 492 (1985) Lynch, D. K., "Reflections on closed loops," Nature, 316, 216-217 (1985) Walker, J., "Reflections from a water surface display some curious properties" in "The Amateur Scientist,"Scientific American, 256, 120-126 (January 1987)


Optics 50 Berry, M. V., "Disruption <strong>of</strong> images: the caustic-touching theorem", Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 4, 561-569 (1987), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Shaw, J. A., “Glittering light on water,” Optics & Photonics News, 10, No. 3, 43-45 (1999), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Nye, J. F., Natural Focusing and Fine Structure <strong>of</strong> Light,” Institute <strong>of</strong> <strong>Physics</strong> Publishing, 1999,especially <strong>Chap</strong>ters 1 through 4, plus Plate II between pages 40 and 41; ISBN 0 7503 0610 6 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 89-92, 104, 1076.41 Shadows and colors in waterThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Jacobs, S. F., "Self-centered shadow," American Journal <strong>of</strong> <strong>Physics</strong>, 21, 234 (1953) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 332-334 Crawford, F. S., "Coille effect: a manifestation <strong>of</strong> the reversibility <strong>of</strong> light rays," American Journal <strong>of</strong><strong>Physics</strong>, 41, 1370-1371 (1973) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 90-91 Walker, J., "Reflections from a water surface display some curious properties" in "The Amateur Scientist,"Scientific American, 256, 120-126 (January 1987) Bohren, C. F., and M. L. Sowers, "Crepuscular rays" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 45, 34-38 (April/May 1992) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 1026.42 Color <strong>of</strong> your shadowThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 199


Optics 51 Churma, M. E., “Blue shadows: physical, physiological, and psychological causes,” Applied Optics, 33,No. 21, 4719-4722 + Plate 52 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Hughes, S. W., “What colour is a shadow?” <strong>Physics</strong> Education, 44, No. 3, 292-295 (May 2009)6.43 Seeing the dark part <strong>of</strong> the MoonThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.wizards.de/~frank/astro/11052005/A_earthshine_11052005c_half.jpghttp://www2.jpl.nasa.gov/ambassador/Gallery/Earthshine_Moon.htmhttp://www.pikespeakphoto.com/images/sunmoon/earthshine.jpghttp://www.dl-digital.com/images/Astronomy/Moon/Earthshine-327pct-1-30-06-0907.jpghttp://www.dl-digital.com/astrophoto/Moon-Earthshine.htmReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, page 297 Henderson, S. T., Daylight and Its Spectrum, American Elsevier, 1970, page 199 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 214 Goode, P. R., J. Qiu, V. Yurchyshyn, J. Hickey, M-C. Chu, E. Kolbe, C. T. Brown, and S. E. Koonin,“Earthshine observations <strong>of</strong> the Earth’s reflectance,” Geophysical Research Letters, 28, No. 9, 1671-1674 (1May 2001) Woolf, N. J., P. S. Smith, W. A. Traub, and K. W. Jucks, “The spectrum <strong>of</strong> earthshine: a pale blue dotobserved from the ground,” Astrophysical Journal, 574, 430-433 (20 July 2002) Qiu, J., P. R. Goode, E. Palle, V. Yurchyshyn, J. Hickey, P. M. Rodriguez, M.-C. Chu, E. Kolbe, C. T.Brown, and S. E. Koonin, “Earthshine and Earth’s albedo: 1. Earthshine observations and measurements <strong>of</strong>the lunar phase function for accurate measurements <strong>of</strong> the Earth’s Bond albedo,” Journal <strong>of</strong> GeophysicalResearch --- Atmospheres, 108, No. D22, article #4709 (22 pages) (2003) Montanes Rodriguez, P., E. Palle, P. R. Goode, J. Hickey, J. Qiu, V. Yurchyshyn, M. C. Chu, E. Kolbe,C. T. Brown, and S. E. Koonin, “The earthshine spectrum,” Advances in Space Research, 34, 293-296(2004) Montanes-Rodriguez, P., E. Palle, and P. R. Goode, “Measurements <strong>of</strong> the surface brightness <strong>of</strong> theearthshine with applications to calibrate lunar flashes,” Astronomical Journal, 134, No. 3, 1145-1149(September 2007)6.44 Heiligenschein and opposition brighteningThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 52http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://home.clara.net/rfleet/gbh/helig1.htmlhttp://www.engl.paraselene.de/html/opposition_effect.html Lots <strong>of</strong> photos; use the menu. Look at the brightregion around the headhttp://www.engl.paraselene.de/html/sylvanshine.htmlReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Wanta, R. C., "The self-centered shadow," American Journal <strong>of</strong> <strong>Physics</strong>, 21, 578-579 (1953). ??why isn'tjacobs listed here and viceversa Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 230-234 Butler, C. P., "Heiligenschein seen from an airplane," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 45, 328(1955) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, page 180 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, page 556 Mattsson, J. O., "Experimental optical phenomena," Weather, 21, 14-15 + 19 (1966) "'Hot-spot' in aerial photograph," Weather, 21, 288 (1966) Oetking, P., "Photometric studies <strong>of</strong> diffusely reflecting surfaces with applications to the brightness <strong>of</strong> theMoon," Journal <strong>of</strong> Geophysical Research, 71, 2505-2513 (1966) Preston, J. S., "Retro-reflection by diffusing surfaces," Nature, 213, 1007-1008 (1967) Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, page 68 Howard, J.A., "Increased luminance in the direction <strong>of</strong> reflex reflexion -- a recently observed naturalphenomenon," Nature, 224, 1102-1103 (1969) Pohn, H. A., H. W. Radin, and R. L. Wildey, "The Moon's photometric function near zero phase anglefrom Apollo 8 photography," The Astrophysical Journal (letters), 157, no. 3, part 2, L193-L195 (September1969) Wildey, R. L., and H. A. Pohn, "The normal albedo <strong>of</strong> the Apollo 11 landing site and intrinsic dispersionin the lunar heiligenschein," The Astrophysical Journal (letters), 158, no. 2, part 2, L129-L131 (November1969) Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, <strong>Chap</strong>ter 2 Minnaert, M., "Retro-reflection," Nature, 225, 718 (1970) Larmore, L., and F. F. Hall Jr., "Optics for the airborne observer," The Journal <strong>of</strong> the Society <strong>of</strong> Photo-Optical Instrumentation Engineers, 9, 87-94 (February/March 1971) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 136-137 Mattsson, J. O., and C. Cavallin, "Retroreflection <strong>of</strong> light from dew-covered surfaces and an imageproducingdevice for registration <strong>of</strong> this light," Oikos, 23, 285-294 (1972) Lenggenhager, K., "Runder Hellfleck anstelle eines fernen Flugzeugschattens," Zeitschrift furMeteorologie, 24, 267-268 (1974) Botley, C. M., “Benvenuto Cellini as a meteorological observer,” Journal <strong>of</strong> Meteorology, 1, No. 8, 259-260 (1975-1976 Egan, W. G., and T. Hilgemen, "Retroreflectance measurements <strong>of</strong> photometric standards and coatings,"Applied Optics, 15, 1845-1849 (1976) Trowbridge, T. S., "Retroreflection from rough surfaces," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 68,1225-1242 (1978)


Optics 53 Thorpe, T. E., "Viking Orbiter observations <strong>of</strong> the Mars opposition effect," Icarus, 36, 204-215 (1978) Greenler, R., Rainbows, Halos and Glories, Cambridge University Press, 1980/1989, pages 146-149 Floor, C., "The heiligenschein," Weather, 38, 41-44 (1983) Pomerantz, J. R., "The grass is always greener: an ecological analysis <strong>of</strong> an old aphorism," Perception, 12,501-502 (1983) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 89-90 Burton, B. J., and M. Griggs, (letters) "Optical phenomena over Scotland," Weather, 39, 293-294 (1984) Hapke, B., "Bidirectional reflectance spectroscopy 4. The extinction coefficient and the oppositioneffect," Icarus, 67, 264-280 (1986) Woessner, P., and B. Hapke, "Polarization <strong>of</strong> light scattered by clover," Remote Sensing <strong>of</strong> Environment,21, No. 3, 243-261 (1987) Walker, J., "Shock front phenomena and other oddities to entertain a bored airline passenger" in "TheAmateur Scientist," Scientific American, 259, 132-135 (September 1988) Kuga, Y., and A. Ishimaru, "Backscattering enhancement by randomly distributed very large particles,"Applied Optics, 28, 2165-2169 (1989) Neito-Vesperinas, M., "Enhanced backscattering," Optics and Photonics News, 1, 50-52 (December 1990) McGurn, A. R., “Enhanced retroreflectance effects in the reflection <strong>of</strong> light from randomly roughsurfaces,” Surface Science Reports, 10, No. 8, 357-410 (1990) Barabanenkov, Y. N., Y. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, “Enhanced backscattering inoptics,” in Progress in Optics, Vol. XXIX, North Holland, Elsevier Science Publishers, 1991, pages 65-197,see pages 181-183 Hapke, B. W., R. M. Nelson, and W. D. Smythe, "The opposition effect <strong>of</strong> the Moon: the contribution <strong>of</strong>coherent backscatter," Science, 260, No. 5107, 509-511 (1993) Fraser, A. B., “The sylvanshine: retroreflection from dew-covered trees,” Applied Optics, 33, No. 21,4539-4547 + Plate 5-9 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Matthews, L., "Reflections on a summer's night," Nature, 369, 441 (9 June 1994) Enright, J. T., “Mach bands and airplane shadows cast on dry terrain,” Applied Optics, 33, No. 21, 4723-4726 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Hapke, B., D. DiMucci, R. Nelson, and W. Smythe, “The cause <strong>of</strong> the hot spot in vegetation canopies andsoils: shadow-hiding versus coherent backscatter,” Remote Sensing <strong>of</strong> Environment, 58, 63-68 (1996) Buratti, B. J., J. K. Hillier, and M. Wang, “The lunar opposition surge: observations by Clementine,”Icarus, 124, 490-499 (1996) Helfenstein, P., J. Veverka, and J. Hillier, “The lunar opposition effect: a test <strong>of</strong> alternative models,”Icarus, 128, 2-14 (1997) Hillier, J. K., “Shadow-hiding opposition surge for a two-layer surface,” Icarus, 128, 15-27 (1997) Hapke, B., R. Nelson, and W. Smythe, “The opposition effect <strong>of</strong> the Moon: coherent backscatter andshadow hiding,” Icarus, 133, 89-97 (1998) Shkuratov, Y. G., M. A. Kreslavsky, A. A. Ovcharenko, D. G. Stankevich, and E. S. Zubko, “Oppositioneffect from Clementine data and mechanisms <strong>of</strong> backscatter,” Icarus, 141, 132-155 (1999) Stankevich, D. G., Y. G. Shkuratov, and K. Muinonen, “Shadow-hiding effect in inhomogeneous layeredparticulate media,” Journal <strong>of</strong> Quantitative Spectroscopy & Radiative Transfer, 63, 445-458 (1999) Mattsson, J. O., and L. Barring, “Heiligenschein and related phenomena in divergent light,” AppliedOptics, 40, No. 27, 4799-4806 (20 September 2001)


Optics 54 Muinonen, K., D. Stankevich, Y. G. Shkuratov, S. Kaasalainen, and J. Piironen, “Shadowing effect inclusters <strong>of</strong> opaque spherical particles,” Journal <strong>of</strong> Quantitative Spectroscopy & Radiative Transfer, 70, 787-810 (2001) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 128-129 Kaasalainen, S., “Laboratory photometry <strong>of</strong> planetary regolith analogs. I. Effects <strong>of</strong> grain and packingproperties on opposition effect,” Astronomy & Astrophysics, 409, 765-769 (2003) Iaquinta, J., and A. Fouilloux, “Modeling <strong>of</strong> light scattering by rough surfaces with relevance topavements monitoring sensors,” Optics and Lasers in Engineering, 41, 687-702 (2004)Related reference Rochon, P., and D. Bissonnette, “Lensless imaging due to back-scattering,” Nature, 348, No. 6303, 708-709 (20/27 December 1990)6.45 Grain field wavesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=BP44VN5u38o Video <strong>of</strong> grain field in a breezeReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Easton, D., "Grain field waves," The <strong>Physics</strong> Teacher, 23, 156 (1985)6.46 GloryThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://www.photodesk.iconbar.com/gal/sun/glory.shtmlhttp://www.astro.uiuc.edu/~kaler/arc/sk041202.htmlhttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.http://www.youtube.com/watch?v=ZTLN4GL0DEA Video <strong>of</strong> the glory (not heiligenschein as the videosuggests)ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Van de Hulst, H. C., "A theory <strong>of</strong> the anti-coronae," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 37, 16-22 (1947)


Optics 55 Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 224-225 Naik, Y. G., and R. M. Joshi, "Anti-coronas or Brocken bowe," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 45, 733-736 (1955) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 180-184 McIntosh, D. H., editor, Meteorological Glossary, Her Majesty's Stationary Office, London, 1963, page130 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, page 555 Deirmendjian, D., "Scattering and polarization properties <strong>of</strong> water clouds and hazes in the visible andinfrared," Applied Optics, 3, 187-196 (1964) Green, H. L., W. R. Lane, and H. Hartley, Particulate Clouds: Dusts, Smokes and Mists, 2nd edition,Van Nostrand, 1964, page 131 Querfeld, C. W., "Mie atmospheric optics," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 55, 105-106(1965) Bryant, H. C., and A. J. Cox, "Mie theory and the glory," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 56,1529-1532 (1966) Fahlen, T. S., and H. C. Bryant, "Direct observation <strong>of</strong> surface waves on water droplets," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 56, 1635-1636 (1966) Bridge, G. C., and S. G. Cornford, (letter) "Distorted glory," Weather, 22, 300 (1967) Scorer, R., and H. Wexler, Cloud Studies in Colour, Pergamon Press, 1967, pages 4-5 Butler, C. P., “A quantitative Brocken observation,” Applied Optics, 6, No. 11, 2013 (November 1967) Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 68-70 Fahlen, T. S., and H. C. Bryant, "Optical back scattering from single water droplets," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 58, 304-310 (1968) Brandt, J. C., "An unusual observation <strong>of</strong> the 'glory'," Publications <strong>of</strong> the Astronomical Society <strong>of</strong> thePacific, 80, 25-28 (1968) Nussenzveig, H. N., "High-frequency scattering by a transparent sphere. II. Theory <strong>of</strong> the rainbow andthe glory," Journal <strong>of</strong> Mathematical <strong>Physics</strong>, 10, 125-176 (1969) Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, <strong>Chap</strong>ter 7 Saunders, M. J., "Near-field backscattering measurements from a microscopic water droplet," Journal <strong>of</strong>the Optical Society <strong>of</strong> America, 60, 1359-1365 (1970) Larmore, L., and F. F. Hall Jr., "Optics for the airborne observer," The Journal <strong>of</strong> the Society <strong>of</strong> Photo-Optical Instrumentation Engineers, 9, 87-94 (February/March 1971) Mason, E. A., R. J. Munn, and F. J. Smith, "Rainbows and glories in molecular scattering," Endeavor, 30,No. 110, 91-96 (May 1971) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 138-139 Patitsas, A. J., "Rainbows, glories, and the scalar field approach," Canadian Journal <strong>of</strong> <strong>Physics</strong>, 50,3172-3183 (1972) Bryant, H. C., and N. Jarmie, "The glory," Scientific American, 231, 60-71 + 136 (July 1974) Bigg, E. K., “A glory in the stratosphere,” Weather, 29, 328-332 (1974) Shute, C. C. D., "The formation <strong>of</strong> a 'glory'," Weather, 32, 64-66 (1977) Khare, V., and H. M. Nussenzveig, "Theory <strong>of</strong> the glory," Physical Review Letters, 38, 1279-1282(1977) Shipley, S. T., and J. A. Weinman, "A numerical study <strong>of</strong> scattering by large dielectric spheres," Journal<strong>of</strong> the Optical Society <strong>of</strong> America, 68, 130-134 (1978) Tricker, R. A. R., "An observation <strong>of</strong> a glory or Brocken spectre in Scotland," Journal <strong>of</strong> Meteorology, 4,307-309 (1979) Greenler, R., Rainbows, Halos and Glories, Cambridge University Press, 1980/1989, pages 145-146


Optics 56 Langley, D. S., and P. L. Marston, "Glory in optical backscattering from air bubbles," Physical ReviewLetters, 47, 913-916 (1981) Marston, P. L., and D. S. Langley, "Glory in backscattering: Mie and model predictions for bubbles andconditions on refractive index in drops," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 72, 456-459 (1982) Marston, P. L., D. S. Langley and D. L. Kingsbury, "Light scattering by bubbles in liquids: Mie theory,physical-optics approximations, and experiments," Applied Scientific Research, 38, 373-383 (1982) Gillis, P., C. Deleuze, V. P. Henri and J. M. Lesceux, "Backscattering <strong>of</strong> light from a water droplet: theglory effect," American Journal <strong>of</strong> <strong>Physics</strong>, 50, 416-421 (1982) Marston, P. L., “Uniform Mie-theoretic analysis <strong>of</strong> polarized and cross-polarized optical glories,”Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 73, 1816-1818 (December 1983) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 83-89 Drake, R. M., and J. E. Gordon, “Mie scattering,” American Journal <strong>of</strong> <strong>Physics</strong>, 53, No. 10, 955-962(October 1985) Arnott, W. P., and P. L. Marston, “Optical glory <strong>of</strong> small freely-rising gas bubbles in water: observedand computed cross-polarized backscattering patterns,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 5, No.4, 496-506 (April 1988) Lock, J. A., "Observability <strong>of</strong> atmospheric glories and supernumerary rainbows," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America A, 6, 1924-1930 (1989) Langley, D. S., and P. L. Marston, "Forward glory scattering from bubbles," Applied Optics, 30, 3452-3458 (1991) Langley, D. S., and M. J. Morrell, "Rainbow-enhanced forward and backward glory scattering," AppliedOptics, 30, 3459-3467 (1991) Lynch, D. K., and S. N. Futterman, "Ulloa's observations <strong>of</strong> the glory, fogbow, and an unidentifiedphenomenon," Applied Optics, 30, 3538-3541 (1991), contained on Classic Reprints on CD-ROM Vol. 1,On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Spinhirne, J. D., and T. Nakajima, “Glory <strong>of</strong> clouds in the near infrared,” Applied Optics, 33, No. 21,4652-4662 (1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Robertson, I., and S. Holman, photos, Weather, 49, 129 (1994) Sassen, K., W. P. Arnott, J. M. Barnett, and S.Aulenbach, “Can cirrus clouds produce glories?” AppliedOptics, 37, No. 9, 1427-1433 (March 1998), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 135-137 Gedzelman, S. D., “Simulating glories and cloudbows in color,” Applied Optics, 42, No. 3, 429-435 (20January 2003) Nussenzveig, H. M., “Light tunneling in clouds,” Applied Optics, 42, No. 9, 1588-1593 (20 March2003) Laven, P., “Simulation <strong>of</strong> rainbows, coronas, and glories by use <strong>of</strong> Mie theory,” Applied Optics, 42, No. 3,436-444 (20 January 2003) Fantz, U., “Optical phenomena in the open air,” Contemporary <strong>Physics</strong>, 45, No. 2, 93-108 (March-April2004) Hardwick, J., “The subtlety <strong>of</strong> rainbows,” <strong>Physics</strong> World, 17, No. 2, 29-33 (February 2004) Cerveny, N., and R. Cerveny, “Spectre rising,” Weatherwise, 57, No. 4, 38-41 (July/August 2004)


Optics 57 Laven, P., “Simulation <strong>of</strong> rainbows, coronas and glories using Mie theory and the Debye series,” Journal<strong>of</strong> Quantitative Spectroscopy & Radiative Transfer, 89, 257-269 (2004) Laven, P., “Atmospheric glories: simulations and observations,” Applied Optics, 44, No. 27, 5667-5674(20 September 2005) Laven, P., “How are glories formed?” Applied Optics, 44, No. 27, 5675-5683 (20 September 2005) Nevzorov, A. N., “Glory phenomenon informs <strong>of</strong> presence and phase state <strong>of</strong> liquid water in coldclouds,” Atmospheric Research, 82, 367-378 (2006) Laven, P., “Noncircular glories and their relationship to cloud droplet size,” Applied Optics, 47, No. 34,H25-H30 (July 2008) Laven, P., “Effects <strong>of</strong> refractive index on glories,” Applied Optics, 47, No. 34, H133-H142 (1 December2008)Related references Kong, P., E. A. Mason, and R. J. Munn, "'Glorified shadows' in molecular scattering: some opticalanalogies," American Journal <strong>of</strong> <strong>Physics</strong>, 38, 294-299 (1970); “Kong” should be “Kang” Arnott, W. P., and P. L. Marston, “Unfolded optical glory <strong>of</strong> spheroids: backscattering <strong>of</strong> laser lightfrom freely rising spheroidal air bubbles in water,” Applied Optics, 30, No. 24, 3429-3442 (20 August 1991) Marston, P. L., “A time-resolved glimpse <strong>of</strong> the terahertz glory,” Nature, 391, 341-342 (26 February 1998) Cheville, R. A., R. W. McGowan, and D. Grischkowsky, “Time resolved measurements which isolatethe mechanisms responsible for terahertz glory scattering from dielectric spheres,” Physical Review Letters,80, No. 2, 269-272 (12 January 1998)6.47 CoronaThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.http://home.hiwaay.net/~krcool/Astro/moon/moonring/ Photos and informationhttp://www.sundog.clara.co.uk/droplets/cormoon.htm Lunar corona photo and informationhttp://www.lpod.org/?p=826ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 214-219 Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Pennsylvania, 1957, pages 178ff "An unusual observation <strong>of</strong> iridescence," Weather, 17, 108 (1962) Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, pages 547ff Scorer, R. S., "Solar corona," Weather, 19, 339 + 349 (1964)Green, H. L., W. R. Lane, and H. Hartley, Particulate Clouds: Dusts, Smokes and Mists, 2nd edition, VanNostrand, 1964, pages 130-131 Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 78-79


Optics 58 Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, <strong>Chap</strong>ter 5 Sassen, K., "Iridescence in an aircraft contrail," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1080-1083+ Plate 106 (1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Greenler, R., Rainbows, Halos and Glories, Cambridge University Press, 1980/1989, pages 139-141 Bohren, C., “A serendipitous iridescent cloud,” in “Simple Experiments in Atmospheric <strong>Physics</strong>,”Weatherwise, 38, 268-274 (October 1985); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 17 Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987,chapter 17; now available from Dover Publications, ISBN 0486417387 Schwartz, J., "A Los Alamos corona," Weatherwise, 42, 284 (1989) Lock, J. A., and L. Yang, "Mie theory model <strong>of</strong> the corona," Applied Optics, 30, 3408-3414 + Plate 8(1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Sassen, K., "Corona-producing cirrus cloud properties derived from polarization lidar and photographicanalyses," Applied Optics, 30, 3421-3428 (1991) Gedzelman, S. D., “Atmospheric optics in art,” Applied Optics, 30, No. 24, 3514-3522 + Plates 23-34 (20August 1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years<strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Trankle, E., and B. Mielke, “Simulation and analysis <strong>of</strong> pollen coronas,” Applied Optics, 33, No. 21,4552-4562 + Plates 14-16 (1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Shaw, J. A., “The Christmas corona,” Optics & Photonics News, 8, 52-53 (April 1997) Sassen, K., G. G. Mace, J. Hallett, and M. R. Poellot, “Corona-producing ice clouds: a case study <strong>of</strong> a coldmid-latitude cirrus layer,” Applied Optics, 37, No. 9, 1477- (March 1998), contained on Classic Reprints onCD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L.Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Mims, F. M., III, “Solar corona caused by juniper pollen in Texas,” Applied Optics, 37, No. 9, 1486-1488(March 1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years<strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 129-133 Shaw, J. A., and P. J. Neiman, “Coronas & iridescent clouds,” Optics & Photonics, 13, No. 10, 30-35(October 2002) Shaw, J. A., and P. J. Neiman, “Coronas and iridescence in mountain wave clouds,” Applied Optics, 42,No. 3, 476-485 (20 January 2003) Neiman, P. J., and J. A. Shaw, “Coronas and iridescence in mountain wave clouds over NortheasternColorado,” Bulletin <strong>of</strong> the American Meteorological Society, 84, 1373-1386 (2003) Laven, P., “Simulation <strong>of</strong> rainbows, coronas, and glories by use <strong>of</strong> Mie theory,” Applied Optics, 42, No. 3,436-444 (20 January 2003) Gedzelman, S. D., and J. A. Lock, “Simulating coronas in color,” Applied Optics, 42, No. 3, 497-504 (20January 2003) Dan, N. G., “Visual dysfunction in artists,” Journal <strong>of</strong> Clinical Neuroscience, 10, No. 2, 168-170 (2003)


Optics 59 Molesini, G., “After image,” Optics and Photonics News, 15, 56 (2004) www.osa-opn.org Cowley, L., P. Laven, and M. Vollmer, “Rings around the sun and moon: coronae and diffraction,”<strong>Physics</strong> Education, 40, No. 1, 51-59 (January 2005) Vollmer, M., “Effects <strong>of</strong> absorbing particles on coronas and glories,” Applied Optics, 44, No. 27, 5658-5666 (20 September 2005) Schneider, W. B., and M. Vollmer, “Experimental simulations <strong>of</strong> pollen coronas,” Applied Optics, 44, No.27, 5746-5753 (20 September 2005) Molesini, G., and M. Vannoni, “Atypical features <strong>of</strong> a lunar corona,” Journal <strong>of</strong> Optics A: Pure andApplied Optics, 8, 423-426 (2006) Gedzelman, S., and J. Piikki, “Heavens below,” Weatherwise, 60, No. 3, 34-38 (May/June 2007) Gedzelman, S. D., “Simulating halos and coronas in their atmospheric environment,” Applied Optics,47, No. 34, H157-H166 (1 December 2008)Related references Mims, F. M., III, “Solar aureoles caused by dust, smoke, and haze,” Applied Optics, 42, No. 3, 492-496(20 January 2003) Laven, P., “Simulation <strong>of</strong> rainbows, coronas and glories using Mie theory and the Debye series,” Journal<strong>of</strong> Quantitative Spectroscopy & Radiative Transfer, 89, 257-269 (2004)6.48 Frosty glass coronaThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 219-221 English, D. R., "Mist bands," The Mathematical Gazette, 53, 147-153 (1969) Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, page 157ff Walker, J., "Interference patterns made by motes on dusty mirrors" in "The Amateur Scientist," ScientificAmerican, 245, 146-152 + 154 (August 1981) Bohren, C., “A serendipitous iridescent cloud,” in “Simple Experiments in Atmospheric <strong>Physics</strong>,”Weatherwise, 38, 268-274 (October 1985); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 17 Moore, G. S. M., "Laser light powder rings," <strong>Physics</strong> Education, 26, 25 + 57 (1991) Lock, J. A., and C. Chiu, “Correlated light scattering by a dense distribution <strong>of</strong> condensation droplets ona window pane,” Applied Optics, 33, No. 21, 4663-4671 + Plates 44-46(July 1994), contained on ClassicReprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4;http://www.osa.org Cowley, L., P. Laven, and M. Vollmer, “Rings around the sun and moon: coronae and diffraction,”<strong>Physics</strong> Education, 40, No. 1, 51-59 (January 2005)


Optics 606.49 Iridescent cloudsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Sassen, K., "Iridescence in an aircraft contrail," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1080-1083+ Plate 106 (1979), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: TwentyYears <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Bohren, C., “A serendipitous iridescent cloud,” in “Simple Experiments in Atmospheric <strong>Physics</strong>,”Weatherwise, 38, 268-274 (October 1985); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 17 Gedzelman, S. D., "In praise <strong>of</strong> altocumulus," Weatherwise, 41, 143-149 (1988) Schlatter, T., "All about iridescence" in "Weather Queries," Weatherwise, 42, 159-162 (1989) Shaw, J. A., and P. J. Neiman, “Coronas & iridescent clouds,” Optics & Photonics, 13, No. 10, 30-35(October 2002) Shaw, J. A., and P. J. Neiman, “Coronas and iridescence in mountain wave clouds,” Applied Optics, 42,No. 3, 476-485 (20 January 2003) Sassen, K., “Cirrus cloud iridescence: a rare case study,” Applied Optics, 42, No. 3, 486-491 (20 January2003)Also see the item about nacreous clouds.6.50 Blue moonThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Wilson, R., "The blue Sun <strong>of</strong> 1950 September," Monthly Notices <strong>of</strong> the Royal Astronomical Society, 111,478-489 (1951) Paul, W., and R. V. Jones, "Blue Sun and Moon," Nature, 168, 554 (1951) Lothian, G. F., "Blue Sun and Moon," Nature, 168, 1086-1087 (1951) La Mer, V. K., and M. Kerker, "Light scattered by particles," Scientific American, 188, 69-76 + 112(February 1953) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 298-299 Van de Hulst, H. C., Light Scattering by Small Particles, Wiley, 1957, page 421-423.


Optics 61 Green, H. L., W. R. Lane, and H. Hartley, Particulate Clouds: Dusts, Smokes and Mists, 2nd edition, VanNostrand, 1964, page 121 Minnaert, M., "Unusual or neglected optical phenomena in the landscape," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 58, 297-303 (1968), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, page 242 Porch, W. M., D. S. Ensor, R. J. Charlson, and J. Heintzenberg, "Blue Moon: is this a property <strong>of</strong>background aerosol?" Applied Optics, 12, 34-36 (1973) Shute, C. C. D., "The 'blue moon' phenomenon," Weather, 31, 292-296 (1976) Bohren, C. G., and G. M. Brown, "Once in a blue moon" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 34, 129-130 (1981); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 12 Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge University Press, 1983,pages 83-85 Eaton, B. G., and J. B. Johnston, "More about light scattering demonstrations," American Journal <strong>of</strong><strong>Physics</strong>, 53, 184-185 (1985) Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987,chapter 12; now available from Dover Publications, ISBN 0486417387 Porch, W. M., "Blue Moons and large fires," Applied Optics, 28, 1778-1784 (1989) Nishiyama, R. T., (letter) “Blue suns,” Weather, 48, 417 (1993) Greenler, R., and R. K. Brandt, “Only once in a blue moon,” Optics and Photonics News, 5, No. 10, 6-7,66-67 (1994) Horvath, H., G. Metzig, O. Preining, and R. F. Pueschel, “Observation <strong>of</strong> a blue sun over New Mexico,U.S.A., on 19 Aril 1991,” Atmospheric Environment, 28, No. 4, 621-630 (1994) Stothers, R. B., “Major optical depth perturbations to the stratosphere from volcanic eruptions:pyrheliometric period, 1881-1960,” Journal <strong>of</strong> Geophysical Research, 101, No. D2, 3901-3920 (20 February1996) Hiscock, P., “Once in a blue moon,” Sky & Telescope, 97, No. 3, 52-55 (March 1999) King, A. K., D. Harper, A. Watson, and D. Roche, “Moon blues,” in “The Last Word,” New Scientist, 165,inside back cover (March 2000) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 149 Wilk, S. R., “Once in a blue moon,” Optics and Photonics News, 17, 20 (March 2006) Pesic, P., “A simple explanation <strong>of</strong> blue suns and moons,” European Journal <strong>of</strong> <strong>Physics</strong>, 29, N31-N36(2008)6.51 Yellow fog lightsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Middleton, W. E. K., Vision through the Atmosphere, University <strong>of</strong> Toronto Press, 1968, page 40


Optics 62 Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, page 244 Sirohi, R. S., "Effect <strong>of</strong> fog on the colour <strong>of</strong> a distant light source," Journal <strong>of</strong> <strong>Physics</strong> D: Applied<strong>Physics</strong>, 3, 96-99 (1970) Gazzi, M., T. Georgiadis, and V. Vicentini, “Apparent anomalous extinction in fog,” AtmsophericEnvironment, 35, 5151-5156 (2001)Related references Gazzi, M., V. Vicentini, and C. Pesci, “Dependence <strong>of</strong> a black target’s apparent luminance on fogdroplet size distribution,” Atmospheric Environment, 31, No. 20, 3441-3447 (1997) Gazzi, M., T. Georgiadis, and V. Vicentini, “Contrast measurements through fog and thick haze,”Atmospheric Environment, 35, 5143-5149 (2001)6.52 Dark when wetThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://kootenay-lake.ca/beach/wetdry/index.html Photos plus explanationhttp://www.weather.gov.hk/education/edu06nature/ele_beach_e.htm photos and essays. The last diagram isa little misleading because light cannot take such a long route through the sand.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pagesReference Bohren, C. F., "Multiple scattering at the breakfast table" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 36, 143-146 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 14 Bohren, C., "Multiple scattering at the beach" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 36, 197-200 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 15 Falk, D. S., D. R. Brill, and D. G. Stork, Seeing the Light: Optics in Nature, Photography, Color, Visionand Holography, Harper & Row, 1986, pages 48-49 Twomey, S. A., C. F. Bohren, and J. L. Mergenthaler, "Reflectance and albedo differences between wetand dry surfaces," Applied Optics, 25, 431-437 (1986) Birth, G. S., "Diffuse reflection," The <strong>Physics</strong> Teacher, 24, 138-143 (1986) Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987,chapters 14 and 15; now available from Dover Publications, ISBN 0486417387 Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Lekner, J., and M. C. Dorf, "Why some things are darker when wet," Applied Optics, 27, 1278-1280(1988) Bartels, R., and R. Loxsom, “The sun-protection factors <strong>of</strong> wet and dry T-shirts,” <strong>Physics</strong> Teacher, 36, 86-89 (February 1998)


Optics 63Related reference Bohren, C., "Strange footprints in snow" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise,42, 168-170 (1989)6.53 Colors <strong>of</strong> snow and iceThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=KZlv1HHDG2s Video, showing the color inside a snow cavehttp://www.awi-bremerhaven.de/Meereis/gruener-eisberg-e.html Photos and discussion <strong>of</strong> green icebergs.Click on the first photo.http://www.csam.montclair.edu/earth/eesweb/brachfeld/NBP0101.html Scroll down to the green icebergphotohttp://www.hickerphoto.com/iceberg-5896-photomug.htm PhotoReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Middleton, W. E., "The colours <strong>of</strong> snowfields in sunlight," Transactions <strong>of</strong> the Royal Society <strong>of</strong> Canada,Section III, 37, 39-43 (1943) Binder, A., "Black and white icebergs, southern ocean," The Marine Observer, 42, 15-16 (1972) Bohren, C. F., and B. R. Barkstrom, "Theory <strong>of</strong> the optical properties <strong>of</strong> snow," Journal <strong>of</strong> GeophysicalResearch, 79, 4527-4535 (1974) Moulton, K. N., and R. L. Cameron, "Bottle-green iceberg near the South Shetland Islands," AntarcticJournal <strong>of</strong> the United States, 11, no. 12, 94-95 (June 1976) Grenfell, T. C., and D. K. Perovich, "Radiation absorption coefficients <strong>of</strong> polycrystalline ice from 400-1400 nm," Journal <strong>of</strong> Geophysical Research, 86, 7447-7450 (1981) Warren, S. G., “Optical properties <strong>of</strong> snow,” Reviews <strong>of</strong> Geophysics and Space <strong>Physics</strong>, 20, No. 1, 67-89 (February 1982) Bohren, C. F., "Colors <strong>of</strong> snow, frozen waterfalls, and icebergs," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 73, 1646-1652 + plates VII-VIII (1983), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Warren, S. G., T. C. Grenfell, and P. C. Mullen, "Optical properties <strong>of</strong> Antarctic snow," Antarctic Journal<strong>of</strong> the United States, 21, no. 5, 247-248 (1986) Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988) Lee Jr., R. L., "Green icebergs and remote sensing," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 7,1862-1873 + Plates I and II (1990), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Koenderink, J. J., and W. A. Richards, “Why is snow so bright?” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 9, No. 5, 643-648 (May 1992) Kipfstuhl, J., G. Dieckmann, H. Oerter, H. Hellmer, and W. Graf, “The origin <strong>of</strong> green icebergs inAntarctica,” Journal <strong>of</strong> Geophysical Research (Oceans), 97, No. C12, 20319-20324 (15 December 1992)


Optics 64 Goodwin, I. D., "Basal ice accretion and debris entrainment within the coastal ice margin, Law Dome,Antarctica," Journal <strong>of</strong> Glaciology, 39, 157-166 (1993) photograph, Weatherwise, 46, 32-33 (June/July 1993) Warren, S. G., C. S. Roesler, V. I. Morgan, R. E. Brandt, I. D. Goodwin, and I. Allison, “Green icebergsformed by freezing <strong>of</strong> organic-rich seawater to the base <strong>of</strong> Antarctic ice shelves,” Journal <strong>of</strong> GeophysicalResearch (Oceans), 99, No. C4, 6921-6928 (15 April 1993) photograph, Nature, 382, 683 (1996) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 161-162 Fricker, H. A., N. W. Young, I. Allison, and R. Coleman, “Iceberg calving from the Amery Ice Shelf, EastAntarctica,” Annals <strong>of</strong> Glaciology, 34, 241-246 (2002)6.54 Firnspiegel and snow sparklesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Hulburt, E. O., "A stereoscopic effect <strong>of</strong> snow sparkles," American Journal <strong>of</strong> <strong>Physics</strong>, 15, 279 (1947) La<strong>Chap</strong>elle, E. R., Field Guide to Snow Crystals, University Washington Press, Seattle, 1969 Schlatter, T., "Firnspiegel: an 'ice mirror'" in "Weather Queries," Weatherwise, 37, 317 (1984) Bates, H. E., and G. Warner, “Observations <strong>of</strong> glistening in the environment and its relationship tostereovision,” Applied Optics, 37, No. 9, 1569-1572 (March 1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler,editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Kaasalalnen, S., H. Karttunen, J. Pilronen, J. Virtanen, A. Llljestrom, and J. Naranen, “Backscatteringfrom snow and ice: laboratory and field measurements,” Canadian Journal <strong>of</strong> <strong>Physics</strong>, 81, 135-143 (2003)Related references Warren, S. G., “Optical properties <strong>of</strong> snow,” Reviews <strong>of</strong> Geophysics and Space <strong>Physics</strong>, 20, No. 1, 67-89 (February 1982) Koenderink, J. J., “Why is snow so bright?” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 9, 643-648(1992)6.55 Whiteouts and snowblindnessThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages


Optics 65 Stefansson, V., The Friendly Arctic, Macmillan, 1944, pages 149, 199-202 Fritz, S., "The 'polar whiteout'," Weather, 12, 345-348 (1957) Catchpole, A. J. W., and D. W. Moodie, "Multiple reflection in arctic regions," Weather, 26, 157-163(1971) Takeuchi, M., and Y. Fukuzawa, “Light attenuation and visibility in blowing snow,” Annals <strong>of</strong>Glaciology, 6, 311-313 (1985) Ishimoto, K., and Y. Fukuzawa, “Visibility in blowing snow observed by the luminance contrast,” Annals<strong>of</strong> Glaciology, 6, 265-266 (1985) Pomeroy, J. W., and D. H. Male, "Optical properties <strong>of</strong> blowing snow," Journal <strong>of</strong> Glaciology, 34, 3-10(1988) Hutt, D. L., L. R. Bissonnette, D. St. Germain, and J. Oman, “Extinction <strong>of</strong> visible and infrared beamsby falling snow,” Applied Optics, 31, No. 24, 5121-5132 (20 August 1992) Koenderink, J. J., and W. A. Richards, “Why is snow so bright?” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 9, No. 5, 643-648 (May 1992) Smith, S. R., and S. Teeuwisse, “Whiteout!” Weatherwise, 47, 54 + 50 (October/November 1994) Sliney, D. H., “How light reaches the eye and its components,” International Journal <strong>of</strong> Toxicology, 21,501-509 (2002) Sliney, D. H., “Exposure geometry and spectral environment determine photobiological effects on thehuman eye,” Photochemistry and Photobiology, 81, 483-489 (2005)Related reference Middleton, W. E. K., and A. G. Mungall, “The luminous directional reflectance <strong>of</strong> snow,” Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 42, No. 8, 572-579 (August 1952)6.56 Yellow ski glassesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Stefansson, V., The Friendly Arctic, Macmillan, 1944, pages 200-202 Wyszecki, G., "Theoretical investigation <strong>of</strong> colored lenses for snow goggles," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 46, 1071-1074 (1956) Kinney, J. A. S., S. M. Luria, C. L. Schlichting, and D. F. Neri, "The perception <strong>of</strong> depth contours withyellow goggles," Perception, 12, 363-366 (1983) Kelly, S. A., S. E. Goldberg, and T. A. Banton, "Effect <strong>of</strong> yellow-tinted lenses on contrast sensitivity,"American Journal <strong>of</strong> Optometry & Physiological Optics, 61, No. 11, 657-662 (1984) Corth, R., "The perception <strong>of</strong> depth contours with yellow goggles -- an alternative explanation,"Perception, 14, 377-378 (1985) Kinney, J. A., "The perception <strong>of</strong> depth contours with yellow goggles -- comments on letter by RichardCorth," Perception, 14, 378-379 (1985) Troscianko, T., "Snowhole blues: comments on Kinney and Corth," Perception, 15, 219-221 (1986) Kelly, S. A., "Effect <strong>of</strong> yellow-tinted lenses on brightness," Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 7,1905-1911 (1990)


Optics 666.57 When the ice grows darkThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Gallant, R., "Ice-out," Science 82, 3, 80-81 (1982) Mullen, P. C., and S. G. Warren, "Theory <strong>of</strong> the optical properties <strong>of</strong> lake ice," Journal <strong>of</strong> GeophysicalResearch, 93, 8403-8414 (1988) Perovich, D. K., “Light reflection from sea ice during the onset <strong>of</strong> melt,” Journal <strong>of</strong> Geophysical Research,99, No. C2, 3351-3359 (15 February 1994) Perovich, D. K., “Complex yet translucent: the optical properties <strong>of</strong> sea ice,” Physica B, 338, 107-114(2003)6.58 Bright clouds, dark cloudsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Feynman, R. P., R. B. Leighton, and M. Sands, The Feynman Lectures on <strong>Physics</strong>, Addison-Wesley,1964, vol. 1, page 32-8 Deirmendjian, D., "Scattering and polarization properties <strong>of</strong> water clouds and hazes in the visible andinfrared," Applied Optics, 3, 187-196 (1964) Hallett, J., and R. E. J. Lewis, "Mother-<strong>of</strong>-pearl clouds," Weather, 22, 56-65 (1967) Weisskopf, V. F., "How light interacts with matter," Scientific American, 219, 60-71 + 272 (September1968) Jarman, R. T., and C. M. de Turville, "The visibility and length <strong>of</strong> chimney plumes," AtmosphericEnvironment, 3, 257-280 (1969) Bohren, C. F., "Multiple scattering at the breakfast table" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 36, 143-146 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 14 Bohren, C., "Multiple scattering at the beach" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 36, 197-200 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 15 Twomey, S. A., C. F. Bohren, and J. L. Mergenthaler, "Reflectance and albedo differences between wetand dry surfaces," Applied Optics, 25, 431-437 (1986)


Optics 67 Bohren, C., "Black clouds" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 39, 169-172(1986); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>,John Wiley & Sons, Inc.; now available from Dover Publications, ISBN 0486417387, 1987, <strong>Chap</strong>ter 11 Bohren, C., "<strong>Physics</strong> on a manure heap: more about black clouds" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 39, 271-275 (1986); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 18 Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Bohren, C. F., J. R. Linskens, and M. E. Churma, “At what optical thickness does a cloud completelyobscure the Sun?” Journal <strong>of</strong> the Atmospheric Sciences, 52, No. 8, 1257-1259 (April 1995)6.59 Noctilucent cloudsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=pslcQXWQz3k Video <strong>of</strong> the ghostly cloudshttp://science.nasa.gov/headlines/y2003/19feb_nlc.htm Photos and description. Scroll down to the diagramthat shows how the clouds are illuminated.http://aim.hamptonu.edu/outreach/gallery/3-1-08img.html Lots <strong>of</strong> photoshttp://apod.nasa.gov/apod/ap990726.html Photo plus brief descriptionhttp://zuserver2.star.ucl.ac.uk/~apod/apod/ap060718.html Photo and descriptionhttp://personal.inet.fi/koti/tom.eklund/NLC.html Lots <strong>of</strong> photoshttp://www.urban75.org/london/noctilucent-clouds.html Photos <strong>of</strong> noctilucent clouds over Londonhttp://www.brianwhittaker.com/nlc/NLC%20general/n-2005/www-BrianWhittaker-com-NLC-800.jpgPhoto from a cockpithttp://math.ucr.edu/home/baez/diary/noctilucent.jpg Photohttp://www.britastro.org/iandi/gavin04.htm Photoshttp://www.atm.helsinki.fi/~tpnousia/gengal/nlc.html Photo, NLC over HelsinkiReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 284-287 Soberman, R. K., "Noctilucent clouds," Scientific American, 208, 50-59 + 183 + cover (June 1963) Hanson, A. M. "Noctilucent clouds at 76.3 degrees north," Weather, 18, 142-144 (1963) Fogle, B., "Noctilucent clouds in the southern hemisphere," Nature, 204, 14-18 (1964) Ludlam, F. H., "Noctilucent clouds," Weather, 20, 186-192 (1965) Hallett, J., "Noctilucent clouds 27-28 June 1966," Weather, 22, 66-67 (1967) Grishin, N. I., "Blue clouds," Solar System Research, 2, 1-13 (January/March 1968) Dietze, G., "Zones <strong>of</strong> the visibility <strong>of</strong> a noctilucent cloud," Tellus, 21, 436-442 (1969) Theon, J. S., W. S. Smith, and W. E. McGovern, "Wind measurements in noctilucent clouds," Science,164, 715-716 (1969) Christie, A. D., “The genesis and distribution <strong>of</strong> noctilucent clouds,” Journal <strong>of</strong> Atmospheric Sciences,26, No. 1, 168-176 (January 1969)


Optics 68 Fiocco, G., and G. Grams, "On the origin <strong>of</strong> noctilucent clouds: extraterrestrial dust and trapped watermolecules," Journal <strong>of</strong> Atmospheric and Terrestrial <strong>Physics</strong>, 33, 815-824 (1971) Schroder, W., "On noctilucent clouds," Annales de Geophysique, 27, 57-59 (1971) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 150-151 Fogle, B., and M. H. Rees, "Spectral measurements <strong>of</strong> noctilucent clouds," Journal <strong>of</strong> GeophysicalResearch, 77, 720-725 (1972) Gadsden, M., "The colour <strong>of</strong> noctilucent clouds," Weather, 30, 190-197 (1975) Simmons, D. A. R., "The noctilucent cloud display <strong>of</strong> 18-19 June 1976," Weather, 32, 240-248 (1977) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1979," MeteorologicalMagazine, 109, 182-183 (1980) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1980," MeteorologicalMagazine, 110, 109 (1981) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1981," MeteorologicalMagazine, 111, 122-125 (1982) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1982," MeteorologicalMagazine, 112, 245 (1983) Simmons, D. A. R., and D. H. McIntosh, "An analysis <strong>of</strong> noctilucent cloud over western Europe during theperiod 1966 to 1982," Meteorological Magazine, 112, 289-298 (1983) Bohren, C. F., "On the size, shape, and orientation <strong>of</strong> noctilucent cloud particles," Tellus B, 35, 65-72(1983) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1983," MeteorologicalMagazine, 113, 272 (1984) Taylor, M. J., M. A. Hapgood, and D. A. R. Simmons, "The effect <strong>of</strong> atmospheric screening on thevisible border <strong>of</strong> noctilucent clouds," Journal <strong>of</strong> Atmospheric and Terrestrial <strong>Physics</strong>, 46, 363-372 (1984) Gavine, D. M., "Noctilucent clouds," Weather, 39, 46 (1984) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1984," MeteorologicalMagazine, 114, 349-350 (1985) McIntosh, D. H., and M. Hallissey, "Noctilucent clouds over western Europe during 1985," MeteorologicalMagazine, 115, 361-362 (1986) Weisburd, S., "Mysterious clouds caused by cosmoids?" Science News, 129, 344 (1986) Woodley, K. E., "Noctilucent clouds," Weather, 41, 259-263 (1986) George, D. J., "Noctilucent clouds," Weather, 42, 195-196 (1987) McConnell, D., "Recognising and photographing noctilucent clouds," Weather, 42, 180-185 (1987) Griffiths, L. A., and J. D. Shanklin, "An observation <strong>of</strong> noctilucent cloud in the antarctic winter," Weather,42, 391 (1987) Schroder, W., and J. D. Shanklin, letters, "An observation <strong>of</strong> noctilucent cloud in the antarctic winter,"Weather, 43, 380 (1988) Jensen, E., and G. E. Thomas, "A growth-sedimentation model <strong>of</strong> polar mesospheric clouds: comparisonwith SME measurements," Journal <strong>of</strong> Geophysical Research, 93, 2461-2473 (1988) Gavine, D. M., "Noctilucent clouds over western Europe during 1987," Meteorological Magazine, 118, 16-18 (1989) Thomas, G. E., J. J. Olivero, E. J. Jensen, W. Schroeder and O. B. Toon, "Relation between increasingmethane and the presence <strong>of</strong> ice clouds at the mesopause," Nature, 338, 490-492 + cover (1989) Parviainen, P., photograph, Journal <strong>of</strong> Geophysical Research, 94, unnumbered opening page <strong>of</strong> issue (20October 1989 Garcia, R. R., "Dynamics, radiation, and photochemsitry in the mesosphere: implications for the formation<strong>of</strong> noctilucent clouds," Journal <strong>of</strong> Geophysical Research, 94, 14,605-14,615 (1989) Gadsden, M., "A secular change in noctilucent cloud occurrence," Journal <strong>of</strong> Atmospheric and Terrestrial<strong>Physics</strong>, 52, 247-251 (1990)


Optics 69 Thomas, G. E., "Mesospheric clouds and the physics <strong>of</strong> the mesopause region," Reviews <strong>of</strong> Geophysics,29, 553-575 (1991) Schoonmaker, D., "Thoroughly modern clouds," American Scientist, 82, 118-119 (1994) Zalcik, M., "In search <strong>of</strong> noctilucent clouds," Sky & Telescope, 88, 76-78 (July 1994) Brausch, J., “Noctilucent clouds,” Weatherwise, 50, No. 3, 32-36 (June/July 1997) Ling, A., “Gazetteer to noctilucent clouds,” Astronomy, 24, No. 7, 67 (July 1996) Thomas, G. E., “Introduction to special section: noctilucent cloud workshop,” Journal <strong>of</strong> GeophysicalResearch, 102, No. D2, 1957-1958 (27 January 1997) Schroder, W., “Otto Jesse and the investigation <strong>of</strong> noctilucent clouds 115 years ago,” Bulletin <strong>of</strong> theAmerican Meteorological Society, 82, No. 11, 2457-2468 (November 2001) Thomas, G. E., and J. Olivero, “Noctilucent clouds as possible indicators <strong>of</strong> global change in themesosphere,” Advances in Space Research, 28, No. 7, 937-946 (2001) Gadsden, M., “Polar mesospheric clouds: the year-to-year changes shown in 17 years <strong>of</strong> images from bothhemispheres,” Advances in Space Research, 28, No. 7, 1083-1088 (2001) Taylor, M. J., M. Gadsden, R. P. Lowe, M. S. Zalcik, and J. Brausch, “Mesospheric cloud observations atunusually low latitudes,” Journal <strong>of</strong> Atmospheric and Solar-Terrestrial <strong>Physics</strong>, 64, 991-999 (2002) Klostermeyer, J., “Noctilucent clouds getting brighter,” Journal <strong>of</strong> Geophysical Research---Atmospheres,107, No. D14, article # 4195 (July 2002) Thomas, G. E., “Are noctilucent clouds harbingers <strong>of</strong> global change in the middle atmosphere?”Advances in Space Research, 32, No. 9, 1737-1746 (2003) Hoppe, U.-P., (letter) “Illumination on noctilucent clouds,” <strong>Physics</strong> Today, 58, 17 (March 2005) von Savigny, C., M. Sinnhuber, H. Bovensmann, J. P. Burrows, M.-B. Kallenrode, and M. Schwartz, “Onthe disappearance <strong>of</strong> noctilucent clouds during the January 2005 solar proton events,” Geophysical ResearchLetters, 34, No. 2, article # L02805 (4 pages) (2007) “Noctilucent clouds,” in “Back Scatter,” <strong>Physics</strong> Today, 60, 92 (June 2007)6.60 You in a looking glassThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.metacafe.com/watch/876063/hilarious_mirror_prank/ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Gardner, M., The Ambidextrous Universe, Basic Books, 1964, pages 22-24 Block, N. J., “Why do mirrors reverse right/left but not up/down?” (The article title is printed mirrorreversed.)Journal <strong>of</strong> Philosophy, 71, No. 9, 259-276 (16 May 1974) Ford, K. W., "Why is your image in a plane mirror inverted left-to-right but not top-to-bottom?" <strong>Physics</strong>Teacher, 13, 228-229 (1975) Greenslade Jr., T. B., "19th century textbook illustrations XXIV: the half-length mirror," <strong>Physics</strong> Teacher,16, 381 (1978) Goldberg, F., and L. C. McDermott, "Student difficulties in understanding image formation by a planemirror," <strong>Physics</strong> Teacher, 24, 472-480 (1986) Navon, D., "Why do we blame the mirror for reversing left and right?" Cognition, 27, 275-283 (1987)


Optics 70 Ansbacher, T. H., "The nonreversing mirror with a twist" in "Deck the Halls," J. Pizzo, editor, <strong>Physics</strong>Teacher, 25, 104-105 (1987) Gee, J. K., "The myth <strong>of</strong> lateral inversion," <strong>Physics</strong> Education, 23, 300-301 (1988) Kalmus, P. I. P., "Mirror inversion," <strong>Physics</strong> Education, 24, 122 (1989) Spurgin, C. B., "Lens and mirror image inversions," <strong>Physics</strong> Education, 25, 343-346 (1990) Horsfield, E. C., "Perception and a lateral inversion fallacy," European Journal <strong>of</strong> <strong>Physics</strong>, 12, 207-209(1991) Galili, I., F. Goldberg, and S. Bendall, "Some reflections on plane mirrors and images," <strong>Physics</strong> Teacher,29, 471-477 (1991) Ittelson, W. H., L. Mowafy, and D. Magid, “The perception <strong>of</strong> mirror-reflected objects,” Perception, 20,567-584 (1991) Halliday, D., R. Resnick, and J. Walker, Fundamentals <strong>of</strong> <strong>Physics</strong>, 4th edition, Wiley, 1993, pages 1020-1021 Nams, V. O., "Plane-mirror inversion," European Journal <strong>of</strong> <strong>Physics</strong>, 14, 44 (1993) Galili, I., and F. Goldberg, "Left-right conversions in a plane mirror," <strong>Physics</strong> Teacher, 31, 463-466 (1993) Haig, N. D., “Reflections on inversion and reversion,” Perception, 22, No. 7, 863-868 (1993) Gregory, R. L., “Editorial---Multiple reflections,” Perception, 22, No. 1, 1-6 (1993) Ittelson, W. H., “Mirror reversals: real and perceived,” Perception, 22, No. 7, 855-861 (1993) Morris, R. C., “Mirror image reversal: is what we see what we present?” Perception, 22, No. 7, 869-876(1993) Corballis, M. C., “Much ado about mirrors,” Psychonomic Bulletin & Review, 7, No. 1, 163-169 (2000) Parks, T. E., “Last but not least,” Perception, 30, No. 7, 899 (2001) Leeuwenberg, E., and R. van Lier, “Symmetry cues for matching mirrored objects,” Spatial Vision, 18,No. 1, 1-23 (2005)6.61 Reflections <strong>of</strong>f water and a stage mirrorThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.www.munch-raisonne.comYou can see the painting Girls on the Pier by MunchReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Satterly, J., “Casual observations on milk, pickled beet-root, and dried-up puddles,” American Journal <strong>of</strong><strong>Physics</strong>, 24, No. 7, 529-530 (October 1956) Easton, D., "On reflections in ponds," <strong>Physics</strong> Teacher, 26, 150-151 (1987) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 76-77 Croucher, C. J., M. Bertamini, and H. Hecht, “Naïve optics: understanding the geometry <strong>of</strong> mirrorreflections,” Journal <strong>of</strong> Experimental Psychology, 28, No. 3, 546-562 (2002) Bertamini, M., R. Latto, and A. Spooner, “The Venus effect: people’s understanding <strong>of</strong> mirror reflectionsin paintings,” Perception, 32, 593-599 (2003)


Optics 71 Bertamini, M., A. Spooner, and H. Hecht, “Naïve optics: predicting and perceiving reflections in mirrors,”Journal <strong>of</strong> Experimental Psychology, 29, No. 5, 982-1002 (2003) DeWeerd, A. J., and S. E. Hill, “Optics over a cup <strong>of</strong> tea: images in concave and convex surfaces,” <strong>Physics</strong>Education, 40, No. 1, 13-14 (January 2005) Olson, D. W., B. Robertson, and R. L. Doescher, “Reflections on Edvard Munch’s Girls on the Pier,” Sky& Telescope, 111, No. 5, 38-41 (May 2006)6.62 Pepper's ghost and the bodiless headThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://fog.ccsf.cc.ca.us/~tbardin/html/pepperghost.html David Wall’s page on how to set up Pepper’s ghosthttp://www.doombuggies.com/secrets_attic.htm Disney’s Haunted House illusionshttp://www.phantasmechanics.com/pepper.html Hotel Lugosihttp://www.youtube.com/watch?v=L7lJbXLRFYQ How to set up Pepper’s ghost with a DVD player, TV,and reflecting plastic, all for HalloweenReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Hopkins, A. A., Magic: Stage Illusions and Scientific Diversions, Arno Press, 1977 (first published 1897),pages 8, 56-88 Greenslade Jr., T. B., "19th century textbook illustrations XVI: illusions with unsilvered mirrors," <strong>Physics</strong>Teacher, 15, 360-361 (1977) Edge, R. D., and E. R. Jones Jr., "Optical illusions," <strong>Physics</strong> Teacher, 22, 591-593 (1984) Falk, D. S., D. R. Brill, and D. G. Stork, Seeing the Light. Optics in Nature, Photography, Color, Vision,and Holography, Harper & Row, 1986, pages 44-45 Ruiz, M. J., and T. L. Robinson, "Illusions with plane mirrors," <strong>Physics</strong> Teacher, 25, 206-212 (1987)6.63 Tilt <strong>of</strong> windows for air traffic controllersThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://webplaza.pt.lu/public/fklaess/pix/atc/general_view3.jpgReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Wood, E. A., Science from Your Airplane Window, Dover, 1975, pages 203-204 Carman, P. D., and H. W. Budde, "Optical design <strong>of</strong> airport control tower cabs," Applied Optics, 19, 490-498 (1980) Hudson, H. T., "Style vs. optics," <strong>Physics</strong> Teacher, 28, 320-321 (1990)


Optics 72 Hamer, M., "Motorists head for windscreen displays," New Scientist, 133, 24 (18 January 1992)6.64 Images in two or three mirrorsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=W-1s0VUdi7E Video <strong>of</strong> child with multiple imageshttp://www.umpi.maine.edu/info/nmms/mirrors.htm “Infinity mirrors”ReferencesSee the references to the next item.6.65 KaleidoscopesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=hWYk_K7T3a8 Video about building big kaleidoscopeshttp://www.youtube.com/watch?v=LrxNz63cXNQ Video, looking into a kaleidoscopehttp://www.youtube.com/watch?v=ZpyOmzOQBnw Kaleidoscope that is sound activatedhttp://www.youtube.com/watch?v=Y6EdCx41KRo&mode=related&search= Kaleidoscope videoReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Ball, W. W. R., and H. S. M. Coxeter, Mathematical Recreations and Essays, 12th edition, UniversityToronto Press, 1974, pages 155-161 Stong, C. L. "The Amateur Scientist," Scientific American, 233, 120-125 (July 1975), see pages 124-125 Walker, J., "Moire effects, the kaleidoscope and other Victorian diversions" in "The Amateur Scientist,"Scientific American, 239, 182-189 + 198 (December 1978) Cohen, D. K., and J. E. Potts, "Light transmission through reflecting cylindrical tubes," American Journal<strong>of</strong> <strong>Physics</strong>, 46, 727-728 (1978) McDermott, J. A., "The kaleidoscope, magic in a tube, is enjoying a revival," Smithsonian, 13, 99-106(November 1982) Marschall, L. A., and E. B. Marschall, "Reflections in a polished tube," <strong>Physics</strong> Teacher, 21, 105 (1983) Greenslade, T. B., Jr., “Multiple images in plane mirrors,” <strong>Physics</strong> Teacher, 20, No. 1, 29-33 (January1982) Walker, J., "The kaleidoscope now comes equipped with flashing diodes and focusing lenses" in "TheAmateur Scientist," Scientific American, 253, 134-145 + 150 + cover (December 1985) Walker, J., "The Amateur Scientist," Scientific American, 254, 120-125 (January 1986), see pages 124-125 Pizzo, J., "Shadow kaleidoscope," <strong>Physics</strong> Teacher, 24, 236-237 (1986) Falk, D. S., D. R. Brill, and D. G. Stork, Seeing the Light. Optics in Nature, Photography, Color, Vision,and Holography, Harper & Row, 1986, pages 74-75


Optics 73 Walker, J., "Kaleidoscopes," Essay 16 in Fundamentals <strong>of</strong> <strong>Physics</strong>, 3rd edition, by D. Halliday and R.Resnick, Wiley, 1988, pages E16-1 - E16-7 Lion, Y., and Y. Renotee, "Interference <strong>of</strong> light by reflection on the inner walls <strong>of</strong> cylindrical tubes,"European Journal <strong>of</strong> <strong>Physics</strong>, 13, 47-52 (1992) Greenslade, T. B., Jr., “Adjustable angle mirrors,” American Journal <strong>of</strong> <strong>Physics</strong>, 75, No. 4, 342 (April2007) Greenslade, Jr., T. B., “Kaleidoscopes made with big mirrors,” <strong>Physics</strong> Teacher, 47, 334-335 (September2009)Also see the references to the following item.6.66 Mirror labyrinthsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Videoshttp://www.youtube.com/watch?v=M5xySAVyOj4http://www.youtube.com/watch?v=F6nxBHrKwQU Adrian Fisher explaining the London Dungeon MirrorMazehttp://www.youtube.com/watch?v=rumrsXbYqGU The Edinburgh Dungeon Mirror Mazehttp://www.youtube.com/watch?v=dp2xqLdWLtEhttp://www.youtube.com/watch?v=xe48UrlygToPhotoshttp://www.mirrormaze.com/ Some <strong>of</strong> Adrian Fisher’s mirror mazeshttp://www.math.nus.edu.sg/aslaksen/gem-projects/maa/Interview_with_the_Minotaur/mirror_maze.gifMirror maze that once stood at Lucerne, Switzerlandhttp://www.mirrormaze.com/mackinaw_mirror_maze.htmReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Walker, J., "Mirrors make a maze so bewildering that the explorer must rely on a map" in "The AmateurScientist," Scientific American, 254, 120-128 + cover (June 1986) Halliday, D., R. Resnick, and J. Walker, Fundamentals <strong>of</strong> <strong>Physics</strong>, 7 th edition, Wiley, 2005, pages 924, 928??Check for Adrian Fisher book,Related references Connett, J. E., “Trapped reflections,” American Mathematical Monthly, 99, No. 2, 178-179 (February1992) Tokarsky, G. W., “Polygonal rooms not illuminable from every point,” American Mathematical Monthly,102, No. 10, 867-879 (December 1995) Lee Jr., R. L., and J. Hernandez-Andres, “Virtual tunnels and green glass: The colors <strong>of</strong> commonmirrors,” American Journal <strong>of</strong> <strong>Physics</strong>, 72, No. 1, 53-59 (January 2004)


Optics 74Also see the references to the preceding two items.6.67 A sideshow laser shootThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Himmelfarb, A., "A billiard table problem," Problem E 1879, American Mathematics Monthly, 73, 411(1966) Silverman, D. L., "A billiard table problem," Solution to Problem E 1879, American MathematicsMonthly, 74, 870 (1967) Grant, N., "Mathematics on a pool table," The Mathematics Teacher, 64, 255-257 (1971) Hamel, T. R., and E. Woodward, "Developing mathematics on a pool table," The Mathematics Teacher,70, 154-163 (1977) Jacobs, H. R., Mathematics: A Human Endeavor, W. H. Freeman, 1982, pages 6-17 Shultz, H. S., and R. C. Shiflett, "Mathematical billiards," Mathematical Gazette, 72, 95-97 (1988) Griffel, D. H., "More mathematical billiards," Mathematical Gazette, 73, 118-119 (1989) Connett, J. E., “Trapped reflections,” American Mathematical Monthly, 99, No. 2, 178-179 (February1992) Tokarsky, G. W., “Polygonal rooms not illuminable from every point,” American Mathematical Monthly,102, No. 10, 867-879 (December 1995) “Cover activity: rational billiards,” Mathematics Teacher, 89, No. 1, pages 3 + cover + table <strong>of</strong> contents(January 1996)6.68 Dark triangles among the decorationsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.colourblind.ca/images/20050807233841_shiny_sphere.jpg Relflection from a single ballhttp://wvs.topleftpixel.com/05/12/23/ Single ballhttp://www.flickr.com/photos/bip/316025146/ Single ballReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Berry, M. V., "Reflections on a Christmas-tree bauble," <strong>Physics</strong> Education, 7, 1-5 (1972) Benedikt, M. L., "On mapping the world in a mirror," Environment and Planning B, 7, 367-378 (1980) Preuss, P., "Education with an edge: an introduction to educational programs at the Exploratorium,"<strong>Physics</strong> Teacher, 21, 514-519 (1983), see page 517 Goodman, D. S., "Illumination analysis with a reflecting sphere," Applied Optics, 24, 1217-1219 (1985)


Optics 75 Walker, J., "The distorted images seen in Christmas-tree ornaments and other reflecting balls" in "TheAmateur Scientist," Scientific American, 259, 112-115 (December 1988) Goodman, D. S., "Reflections in Christmas tree balls," Optics & Photonics News, 3, 66-67 + cover(December 1992) van Beveren, E., F. Kleefeld, and G. Rupp, “Images in Christmas baubles,” European Journal <strong>of</strong><strong>Physics</strong>, 27, 337-346 (2006)Related reference Miller, A. R., and E. Vegh, "Exact result for the grazing angle <strong>of</strong> specular reflection from a sphere,"SIAM Review, 35, 472-480 (1993)6.69 Shiny turns to black; blacker than blackThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Weisskopf, V. F., "How light interacts with matter," Scientific American, 219, 60-71 + 272 (September1968) Zafiratos, C. D., and J. C. Gr<strong>of</strong>t, "A black surface fabrication from specular reflectors," <strong>Physics</strong> Teacher,20, 316-317 (1982) Mayer, V. V., "Can white be blacker than black?" Quantum, 3, 23 (September/October 1992) Gardner, M., "Blacker than black," <strong>Physics</strong> Teacher, 31, 94 (1993) Harris, J., "Another way <strong>of</strong> making black," <strong>Physics</strong> Teacher, 262, 31 (1993)6.70 RetroreflectorsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Van Lear Jr., G. A., "Reflectors used in highway signs and warning signals. Parts I, II, and III," Journal<strong>of</strong> the Optical Society <strong>of</strong> America, 30, 462-487 (1940) Crawford Jr., F. S., Waves (Berkeley <strong>Physics</strong> Course, vol. 3), McGraw-Hill, New York (1968), page 158 Faller, J. E., and E. J. Wampler, "The lunar laser reflector," Scientific American, 222, 38-49 + 146 (March1970) Snyder, J. J., "Paraxial ray analysis <strong>of</strong> a cat's-eye retroreflector," Applied Optics, 14, 1825-1828 (1975) Beer, R., “Paraxial ray analysis <strong>of</strong> a cat’s-eye retroreflector: comments,” Applied Optics, 15, No. 4, 856-857 (April 1976)


Optics 76 Barrett, H. H., and S. F. Jacobs, "Retroreflective arrays as approximate phase conjugators," OpticsLetters, 4, 190-192 (1979) Agarwal, G. S., A. T. Friberg, and E. Wolf, "Elimination <strong>of</strong> distortions by phase conjugation withoutlosses or gains," Optics Communications, 43, 446-450 (1982) O'Meara, T. R., "Wavefront compensation with pseudoconjugation," Optical Engineering, 21, 271-280(1982) Jacobs, S. F., "Experiments with retrodirective arrays," Optical Engineering, 21, 281-283 (1982) Cochran, W. R., "Mirror wall tile and the triple reflector," American Journal <strong>of</strong> <strong>Physics</strong>, 50, 765 (1982) Harris Jr., W. S., "The corner reflector," The Mathematics Teacher, 76, 92-93 (1983) Palmer, D. A., "Retroreflective materials and optical imaging," Applied Optics, 24, 1413-1414 (1985) Shkunov, V. V., and B. Ya. Zel'dovich, "Optical phase conjugation," Scientific American, 253, 54-59 +150 (December 1985) Pepper, D. M., "Applications <strong>of</strong> optical phase conjugation," Scientific American, 254, 74-83 + 126(January 1986) Walker, J., "Wonders with the retroreflector, a mirror that removes distortion from a light beam" in "TheAmateur Scientist," Scientific American, 254, 118-124 (April 1986) Gower, M. C., "Phase conjugate mirrors," <strong>Physics</strong> Bulletin, 38, 220-222 (1987) Moosad, K. P. D., "Optical phase conjugation for postgraduates," European Journal <strong>of</strong> <strong>Physics</strong>, 10, 133-135 (1989) Morton, N., "Don't forget the reflector," <strong>Physics</strong> Education, 26, 243-248 (1991) Robb, N. I., "Teaching reflection from a corner cube reflector," <strong>Physics</strong> Teacher, 29, 255 (1991) Wang, S., E. Bernabeu, and J. Alda, "Retroreflective properties <strong>of</strong> a hemispherical surface," AppliedOptics, 32, 4279-4281 (1993) Liepmann, T. W., “How retroreflectors bring the light back,” Laser Focus World, 30, No. 10, 129-131(October 1994) Webster, C. A. G., “Optimum design <strong>of</strong> spherical retroreflectors with refractive indices close to 2.0,”Transactions <strong>of</strong> the Institute <strong>of</strong> Measurement and Control, 18, No. 4, 212-215 (1996) Friedman, Y., and N. Schweitzer, “Classification <strong>of</strong> stable configurations <strong>of</strong> plane mirrors,” AppliedOptics, 37, No. 31, 7229-7234 (1 November 1998) O’Brien, D. C., G. E. Faulkner, and D. J. Edwards, “Optical properties <strong>of</strong> a retroreflecting sheet,”Applied Optics, 38, No. 19, 4137-4144 (1 July 1999) Zwahlen, H. T., and T. Schnell, “Minimum in-service retroreflectivity <strong>of</strong> pavement markings,”Transportation Research Record, Issue 1715, 60-70 (2000) Schnell, T., F. Aktan, and Y. Lee, “Nighttime visibility and retroreflectance <strong>of</strong> pavement markings in dry,wet, and rainy conditions,” Highway Maintenance Safety, Support, and Services, Issue 1824, 144-155(2003) Whitehead, L., A. Kushnir, and P. Kan, “Hybrid imaging using linear retroreflectors,” Applied Optics,45, No. 27, 6998-7004 (20 September 2006) Grosges, T., “Retro-reflection <strong>of</strong> glass beads for traffic road stripe paints,” Optical Materials, 30, 1549-1554 (2008) Halstuch, A., and Y. Yitzhaky, “Properties <strong>of</strong> light reflected from road signs in active imaging,” AppliedOptics, 47, No. 22, 4031-4036 (1 August 2008) Rovsek, Barbara, “Making a cat’s eye in a classroom,” <strong>Physics</strong> Education, 45, No. 2, 186-189 (March2010)6.71 Short Story: Landing in the dark behind enemy linesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.


Optics 77The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesSee references to the preceding item.6.72 One-way mirrorThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.midlandsres.com/Pictures_<strong>of</strong>_MMR_<strong>of</strong>fice_012.jpgReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Fitch, J. M., "The control <strong>of</strong> the luminous environment," Scientific American, 219, 190-202 + 275(September 1968) Ruiz, M. J., and T. L. Robinson, "Illusions with plane mirrors," <strong>Physics</strong> Teacher, 25, 206-212 (1987)6.73 Rear-view mirrorThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Crane, H. R., "How Things Work," <strong>Physics</strong> Teacher, 23, 238-239 (1985) Jones, E. R., and R. D. Edge, "Optics <strong>of</strong> the rear-view mirror: a laboratory experiment," <strong>Physics</strong> Teacher,24, 221-223 (1986)6.74 Side-view mirrorThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://video.google.com/videoplay?docid=4922872460677989287&q=blind+spot+driving Driver’s ed videoReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Quadling, D., "What the eye doesn't see, ..." Mathematical Gazette, 71, 198-201 (1987)


Optics 78 Clifford, F., "More on drivers' blind spots," Mathematical Gazette, 73, 120 (1989) Luoma, J., M. Sivak, and M. J. Flannagan, “Effects <strong>of</strong> driver-side mirror type on lane-change accidents,”Ergonomics, 38, 1973-1978 (1995 Hicks, R. A., and R. K. Perline, “Blind-spot problem for motor vehicles,” Applied Optics, 44, No. 19,3893-3897 (1 July 2005)Related references Libertun, A. R., “Warning! Objects in mirror are closer than they appear,” <strong>Physics</strong> Teacher, 41, 20-21(January 2003) Andrews, J. H., (letters) “More mirror calculations,” <strong>Physics</strong> Teacher, 41, 196 (April 2003)6.75 A Bar at the Folies-BergèreThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.canvasreplicas.com/Manet.htm Manet galleryReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Halliday, D., R. Resnick, and J. Walker, Fundamentals <strong>of</strong> <strong>Physics</strong>, Wiley, 4 th edition (1993), pages 1011,1020; 5 th edition, pages 872, 875; 6 th edition (2003), pages 833 and 8366.76 Renaissance art and optical projectorsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://webexhibits.org/hockneyoptics/post/stork.html David Stork’s analysis <strong>of</strong> a van Eyck paintinghttp://webexhibits.org/hockneyoptics/post/falcograves3.html Discussion between Charles Falco and DavidStorkReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Delsaute, J.-L., “The camera obscura and painting in the sixteenth and seventeenth centuries,” Studies inthe History <strong>of</strong> Art, 55, 110-123 (1998) Mills, A. A., “Vermeer and the camera obscura: some practical considerations,” Leonardo, 31, No. 3, 213-218 (1998) Steadman, P., “Commentary on ‘Vermeer and the camera obscura: some practical considerations’,”Leonardo, 32, No. 2, 137-141 (1999); response by A. A. Mills, pages 140-141 Hockney, D., and C. M. Falco, “Optical insights into Renaissance art,” Optics & Photonics, 11, No. 7, 52-58 (July 2000)


Optics 79 Hockney, D., Secret Knowledge---Rediscovering the Lost Techniques <strong>of</strong> the Old Masters, Viking Studio,2001 Tyler, C. W., “Where art, optics, and vision intersect,” Perception, 31, 1285-1288 (2002) Weiss, P., “Reflections on art---scientists debate whether the old masters used optical aids,” Science News,163, 346-348 (31 May 2003) Stork, D. G., “Optics and the old masters revisited,” Optics and Photonics News, 15, No. 3, 30-37 (March2004) Stork, D. G., “Optics and realism in renaissance art,” Scientific American, 291, No. 6, 76-83 (December2004) Feder, T., “Debate over optics in early art is focus at OSA gathering,” <strong>Physics</strong> Today, 57, No. 12, 31-32(December 2004) Hockney, D., (letter), and Stork, D. (reply), “Optical rejection,” Scientific American, 292, No. 4, 14 (April2005) Jaroszewicz, Z., A. Burvall, and A. T. Friberg, “Axicon --- the most important optical element,” Optics &Photonics News, 16, No. 5, 34-39 (April 2005) Lefevre, W., “Exposing the seventeenth-century optical camera obscura,” Endeavour, 31, No. 2, 54-58(2007)Related references Robin, A. C., “Photomeasurement,” Mathematical Gazette, 62, No. 420, 77-85 (June 1978) Tripp, C., “Where is the camera? The use <strong>of</strong> a theorem in projective geometry to find from a photographthe location <strong>of</strong> the camera,” Mathematical Gazette, 71, No. 455, 8-14 (March 1987) Knill, D. C., P. Mamassian, and D. Kersten, “Geometry <strong>of</strong> shadows,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 14, No. 12, 3216-3232 (December 1997) Mamassian, P., D. C. Knill, and D. Kersten, “The perception <strong>of</strong> cast shadows,” Trends in CognitiveSciences, 2, No. 3, 288-295 (August 1998) Bruckstein, A. M., R. J. Holt, Y. D. Jean, and A. N. Netravali, “On the use <strong>of</strong> shadows in stancerecovery,” International Journal <strong>of</strong> Imaging Systems Technology, 11, 315-330 (2000)6.77 Anamorphic artThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.artlex.com/ArtLex/a/images/anamor_snowflake.lg.jpg Example using cylindrical mirrorhttp://www.unipd.it/vallisneri/en/instruments/6.htmlhttp://oozandoz.com/images/mirror-cup-press.jpghttp://graphicfacilitation.blogs.com/pages/2005/06/anamorphic_pave.html Amazing anamorpic art on asidewalk by Julian Beeverhttp://www.linesandcolors.com/2005/09/23/julian-beever/ Another amazing sidewalk example by JulianBeeverhttp://video.google.com/videoplay?docid=2885514567424950512&q=anamorphic Video about thesidewalk art <strong>of</strong> Julian Beeverhttp://www.youtube.com/watch?v=LVWkNlyCJtI Video Julian Beeverhttp://www.youtube.com/watch?v=hfn8Dz_13Ms Video shows how Beever sets up the art.http://www.youtube.com/watch?v=IZ41c6omVWk Beever meets the Transformers, for the new moviehttp://www.youtube.com/watch?v=dUen_khSouw Another video about Beever


Optics 80http://www.youtube.com/watch?v=15oIzkWO-wUhttp://www.youtube.com/watch?v=PQMmxWq_-pE Stunning, watch it come “alive”http://www.youtube.com/watch?v=XjfVyx3PiZQ Another video showing how Beever sets up a drawinghttp://www.youtube.com/watch?v=xVsKTwcBcMg Anamorphic art on a LCD screenhttp://www.artlex.com/ArtLex/An.html Discussion plus some exampleshttp://www.neatorama.com/2006/05/10/kelly-m-houles-anamorphic-art/ Reflection anamorphic arthttp://www.mathsyear2000.co.uk/explorer/anamorphic/cylmirror.shtmlhttp://www.youtube.com/watch?v=v-VKEVHL-8Y Hong Kong pavement arthttp://www.julianvossandreae.com/work.html Quantum man by Julian Voss-Andreae. Click on "archive";choose "Matter Wave Project II", click on one <strong>of</strong> the slides and then use the "Next" arrow at the top to go tothe next slide.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Samuel, E. R., "Death in the glass - a new view <strong>of</strong> Holbein's 'Ambassadors'," Burlington Magazine, 105,436-441 + plates 15 and 16 (1963) Miles, C. L., "Mapping transform showing mirror equivalence in concave and convex reflectors,"American Journal <strong>of</strong> <strong>Physics</strong>, 42, 614-616 (1974) Gardner, M., "The curious magic <strong>of</strong> anamorphic art" in "Mathematical Games," Scientific American, 232,No. 1, 110-116 + 135 (January 1975) Schuyt, M., and J. Elffers, Anamorphoses: Games <strong>of</strong> Perception and Illusion in Art, Harry N. Abrams,Inc., 1976 Leemann, F., Hidden Images: Games <strong>of</strong> Perception, Anamorphic Art Illusion, Harry N. Abrams, Inc., 1976 Zucker, A. A., "Anamorphic art," Creative Computing, 3, 137-139 (July/August, 1977) Kuchel, P. W., "Anamorphoscopes: a visual aid for circle inversion," Mathematical Gazette, 63, 82-89(June 1979) Benedikt, M. L., "On mapping the world in a mirror," Environment and Planning B, 7, 367-378 (1980) Fineman, M., The Inquisitive Eye, Oxford University Press, 1981, pages 102-108 Walker, J., "Anamorphic pictures: distorted views from which distortion can be removed" in "TheAmateur Scientist," Scientific American, 245, No.1, 176-187 (July 1981) "Perspectives," Mathematics Teaching, No. 109, 52-55 (December 1984) Falk, D. S., D. R. Brill, and D. G. Stork, Seeing the Light. Optics in Nature, Photography, Color, Vision,and Holography, Harper & Row, 1986, pages 79-83 Hickin, P., "Anamorphosis," Mathematical Gazette, 76, 208-221 (1992) Hunt, J. L., B. G. Nickel, and C. Gigault, “Anamorphic images,” American Journal <strong>of</strong> <strong>Physics</strong>, 68, No. 3,232-237 (March 2000) DeWeerd, A. J., and S. E. Hill, “The dizzying depths <strong>of</strong> the cylindrical mirror,” <strong>Physics</strong> Teacher, 43, No.2, 90-92 (2005) DeWeerd, A. J., and S. E. Hill, “Comment on ‘Anamorphic images,’ [Am. J. Phy., 68 (3), 232-237(2000),” American Journal <strong>of</strong> <strong>Physics</strong>, 74, No. 1, 83-84 (January 2006) “A human as a quantum object,” <strong>Physics</strong> World, 19, No. 9, 7 (September 2006) Hansford, D., and D. Collins, “Anamorphic 3D geometry,” Computing, 79, Nos. 2-4, 211-223 (April2007)


Optics 816.78 The bright and dark <strong>of</strong> streetlampsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Toth, L. F., "A problem <strong>of</strong> illumination," American Mathematics Monthly, 77, 869-870 (1970). Tyson, G., "Bright spots," Mathematical Gazette, 69, 205-206 (1985); make this correction: “x = 5/2”should be “x = s/2”6.79 Multiple images from double-pane windowsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Swindell, W., "Effect <strong>of</strong> environmental changes on the ghosting <strong>of</strong> distant objects in twin-glazedwindows," Applied Optics, 11, 2033-2036 (1972) Swindell, W., and H. E. Morrow, "Insulating glass 'ghosting'," Glass Digest, 51, 52-53 and 83-84 (15November 1972) Carman, P. D., and H. W. Budde, "Optical design <strong>of</strong> airport control tower cabs," Applied Optics, 19, 490-498 (1980) Huebner, J. S., "Multiple reflections from common mirrors," <strong>Physics</strong> Teacher, 25, 233 (1987) Walker, J., "Some entertaining lessons in optics that may make air travel easier to endure" in "TheAmateur Scientist," Scientific American, 259, 100-103 (August 1988)6.80 World's most powerful searchlightThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Jones, R. V., "Impotence and achievement in physics and technology," Nature, 207, 120-124 (1965) Gleckman, P., J. O'Gallagher, and R. Winston, "Concentration <strong>of</strong> sunlight to solar-surface levels usingnon-imaging optics," Nature, 339, 198-200 (1989) Cooke, D., P. Gleckman, H. Krebs, J. O'Gallagher, D. Sagie, and R. Winston, "Sunlight brighter than thesun," Nature, 346, 802 (1990)


Optics 82 Winston, R., "Nonimaging optics," Scientific American, 264, 76-81 (March 1991)Related: De Luca, R. and A. Fedullo, “Focusing light rays back to the vertex <strong>of</strong> a reflection parabolic collector:the equivalent <strong>of</strong> Dionysius ear effect in optical systems,” European Journal <strong>of</strong> <strong>Physics</strong>, 30, 935-943 (2009)6.81 Archimedes death rayThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Videos: sunlight is concentrated by an array <strong>of</strong> tilted planar (flat) mirrors:http://www.youtube.com/watch?v=RQUrD6jp8-whttp://www.youtube.com/watch?v=vaIw_9ZLvcIhttp://www.youtube.com/watch?v=iuORGNBKV7ohttp://www.youtube.com/watch?v=8EDtTwzgh98http://www.youtube.com/watch?v=GXxK2lU0pV8http://www.youtube.com/watch?v=bC2FtImtNTohttp://www.youtube.com/watch?v=7OBnAE_kBfcPhotos and discussion:http://web.mit.edu/2.009_gallery/www/2005_other/archimedes/10_ArchimedesResult.html Feasibility studyby MITReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Middleton, W. E. K., "Archimedes, Kircher, Buffon, and the burning-mirrors," Isis, 52, 533-543 (1961) Claus, A. C., "On Archimedes' burning glass," Applied Optics, 12, A14 (October 1973) Stavroudis, O. N., (letter) "Comments on: on Archimedes' burning glass," Applied Optics, 12, A16(October 1973) “Archimedes’ weapon,” Time, 102, No. 22, 60 (26 November 1973) "Re-enacting history -- with mirrors," Newsweek, 82, 64 (26 November 1973) Mielenz, K. D., (letter) "Eureka!", Applied Optics, 13, A14-A16 (February 1974) Phillips, E. A., (letter) "Arthur C. Clarke's burning glass," Applied Optics, 13, A16 + 452 (February 1974) Deirmendjian, D., (letter) "Archimedes's burning glass," Applied Optics, 13, 452 (February 1974) Simms, D. L., (letter) "More on that burning glass <strong>of</strong> Archimedes," Applied Optics, 13, A14-A16 (May1974) Denton, R. A., (letter) "The last word," Applied Optics, 13, A16 (May 1974) Simms, D. L., "Archimedes and burning mirrors," <strong>Physics</strong> Education, 10, 517-521 (1975) Simms, D. L., "Archimedes and the burning mirrors <strong>of</strong> Syracuse," Technology and Culture, 18, 1-24(1977) Stephenson, C. B., and R. W. Davis, letters, Science News, 114, 35 (1978) Knorr, W., "The geometry <strong>of</strong> burning mirrors in antiquity," Isis, 74, 53-73 (1983) Thuillier, P., "Une enigme: Archimede et les miroirs ardents," La Recherche: en histoire des sciences,Editions du Seuil La Recherche, 1983, pages 31-54 Woodley, K., "Concentrated sunshine: the French solar oven, Odeillo, Pyrenees-Orientales," Weather, 43,45-50 (1988)


Optics 83 Simms, D. L., and P. L. Hinkley, "Brighter than how many suns? Sir Isaac Newton's burning mirror,"Notes and Records <strong>of</strong> the Royal Society <strong>of</strong> London, 43, 31-51 (1989) Simms, D. L., "Galen on Archimedes: burning mirror or burning pitch," Technology and Culture, 18, 91-96 (1991) Mills, A. A., and R. Clift, "Reflections on the 'Burning mirrors <strong>of</strong> Archimedes'," European Journal <strong>of</strong><strong>Physics</strong>, 13, 268-279 (1992) Brown, W., “Did Archimedes use the Sun to save Syracuse?” New Scientist, 136, No. 1852-1853, 16(19/26 December 1992) Lacoste, B., “Space ‘umbrella’ lights up the Earth,” New Scientist, 136, No. 1841, 19 (3 October 1992) “Cosmic Klieg light,” Sky & Telescope, 85, No. 6, 13 (June 1993) Habeebullah, M. B., A. M. Khalifa, and I. Olwi, “The oven receiver: an approach toward the revival <strong>of</strong>concentrating solar cookers,” Solar Energy, 54, No. 4, 227-237 (1995)Related references Erpylev, N. P., and M. A. Smirnov, “Specular reflection <strong>of</strong> sunlight from geostationary satellites,” SovietAstronomy Letters, 9, No. 2, 97-98 (March-April 1983) Shih, N.-J. and Y.-S. Huang, “A study <strong>of</strong> reflection glare in Taipei,” Building Research & Information, 29,No. 1, 30-39 (2001) O’Meara, J., “Oh, those crazy satellites,” Astronomy, 39, No. 9, 16-17 (September 2011)6.82 Short Story: Illuminating a refereeThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.bartenbach.com/en/ The company Bartenbach LichtLabor, in English.http://www.bartenbach.com/ The same site but in GermanReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Clarke, A. C., "A slight case <strong>of</strong> sunstroke," in Tales <strong>of</strong> Ten Worlds, Harcourt, Brace & World, Inc., 19636.83 Spooky lights in a graveyardThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Bunch, K. J., and M. K. White, "The riddle <strong>of</strong> the Colorado ghost lights: a ghostly mystery yields toreflection," The Skeptical Inquirer, 7, 306-309 (1988)


Optics 846.84 What a fisherman sees <strong>of</strong> a fishThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Laird, E. R., "The position <strong>of</strong> the image <strong>of</strong> an object under water," American Journal <strong>of</strong> <strong>Physics</strong>, 6, 40(1938) Reese, H. M., "Where is a fish seen?", American Journal <strong>of</strong> <strong>Physics</strong>, 6, 163-164 (1938); with reply by E.R. Laird Arvidsson, G., "Image <strong>of</strong> an object under water," American Journal <strong>of</strong> <strong>Physics</strong>, 6, 164 (1938) Kinsler, L. E., "Imaging <strong>of</strong> underwater objects," American Journal <strong>of</strong> <strong>Physics</strong>, 13, 255-257 (1945) Kettler, J. E., "Some optical effects using a hollow sphere and an aquarium," <strong>Physics</strong> Teacher, 22, 171-172(1984) Bartlett, A. A., and R. Lucero, "Note on a common virtual image," American Journal <strong>of</strong> <strong>Physics</strong>, 52,640-643 (1984) Walker, J., "What is a fish's view <strong>of</strong> a fisherman and the fly he has cast on the water?" in "The AmateurScientist," Scientific American, 250, 138-144 (March 1984) Ouseph, P. J., "How many fish are in the tank? A demonstration <strong>of</strong> refraction <strong>of</strong> light," <strong>Physics</strong> Teacher,25, 440 (1987) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 78 Emery, C., “Refractive puzzle,” <strong>Physics</strong> Teacher, 31, 413 (October 1993) Arizaga, R., N. Cap, H. Rabal, and M. Trivi, “Image distortion due to refraction by planar surfaces,”European Journal <strong>of</strong> <strong>Physics</strong>, 31, 115-127 (2010) Mendelson, K., S., “Apparent shape <strong>of</strong> a swimming pool,” American Journal <strong>of</strong> <strong>Physics</strong>, 78, No. 12,1254-1257 (December 2010)6.85 What a fish sees <strong>of</strong> the fishermanThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=cIIwwCi2zwk vision from a bathtub <strong>of</strong> waterhttp://curiousphotos.blogspot.com/2007/07/curious-add-on-07-14-07.html Scroll down to reach a photo shotfrom within the water in the swimming pool. You might also notice the photos shot looking down into thewater. Refraction distorts those images also.more linksVideos <strong>of</strong> archer fishhttp://www.youtube.com/watch?v=fhBZ40jIo4Q http://www.youtube.com/watch?v=Cc-Hm3zxHDIhttp://video.google.com/videoplay?docid=3360632473266152205&q=archer+fish&hl=en Note how the fishanticipates where the insect will reach the water.


Optics 85Photos <strong>of</strong> archer fishhttp://www.biologie.uni-freiburg.de/data/bio1/schuster/images/archer.jpghttp://photo.net/bboard-uploads/00EsBI-27543584.jpghttp://cache.eb.com/eb/image?id=5814&rendTypeId=4ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Cornish, R. E., "Improving underwater vision <strong>of</strong> lifeguards and naked divers," The Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 23, 430 (1933) Wood, R. W., Physical Optics, 3rd edition, Macmillan, 1934, pages 66-67 Baddeley, A. D., "Diver Performance" in Underwater Science, edited by J. D. Woods and J. N. Lythgoe,Oxford University Press, 1971, pages 47-67 Breslow, R., "Optics in a fish tank," <strong>Physics</strong> Teacher, 14, 234-235 (1976) Harmon, R., and J. Cline, "At the edge <strong>of</strong> the window," Rod and Reel, No. 7, 41-45 (March/April 1980) Derman, S., "How the world looks underwater -- a demonstration for nonswimmers," <strong>Physics</strong> Teacher, 20,474-475 (1982) Walker, J., "What is a fish's view <strong>of</strong> a fisherman and the fly he has cast on the water?" in "The AmateurScientist," Scientific American, 250, 138-144 (March 1984) Goldstein, S. R., and D. Hall, “Variable ratio control <strong>of</strong> the spitting response in the archer fish (Toxotesjaculator), Journal <strong>of</strong> Comparative Psychology, 104, No. 4, 373-376 (1990) Horvath, G., and D. Varju, "On the structure <strong>of</strong> the aerial visual field <strong>of</strong> aquatic animals distorted byrefraction," Bulletin <strong>of</strong> Mathematical Biology, 53, 425-441 (1991) Steele, A. L., “Vision underwater,” <strong>Physics</strong> Education, 32, No. 6, 387-392 (November 1997) Timmermans, P. J. A., and J. M. H. Vossen, “Prey catching in the archer fish: does the fish use a learnedcorrection for refraction?” Behavioural Processes, 52, 21-34 (2000) Timmermans, P. J. A., “Prey catching in the archer fish: marksmanship, and endurance <strong>of</strong> squirting at anaerial target,” Netherlands Journal <strong>of</strong> Zoology, 50, No. 4, 411-423 (2000) Timmermans, P. J. A., “Prey catching in the archer fish: angles and probability <strong>of</strong> hitting an aerial target,”Behavioural Processes, 55, 93-105 (2001) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page79 Rossel, S., J. Corlija, and S. Schuster, “Predicting three-dimensional target motion: how archer fishdetermine where to catch their dislodged prey,” Journal <strong>of</strong> Experimental Biology, 205, 3321-3326 (2002) Barta, A., and G. Horvath, “Underwater binocular imaging <strong>of</strong> aerial objects versus the position <strong>of</strong> eyesrelative to the flat water surface,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 20, No. 12, 2370-2377(December 2003) Timmermans, P. J. A., and P. M. Souren, “Prey catching in archer fish: the role <strong>of</strong> posture and morphologyin aiming behavior,” Physiology & Behavior, 81, 101-110 (2004) Schuster, S., S. Rossel, A. Schmidtmann, I. Jager, and J. Poralla, “Archer fish learn to compensate forcomplex optical distortions to determine the absolute size <strong>of</strong> their aerial prey,” Current Biology, 14, 1565-1568 (7 September 2004) Biezeveld, H., N. Elsinga, F.-J. Harmsen, and R. Koopman, “Analysis <strong>of</strong> pictures taken with anunderwater camera,” <strong>Physics</strong> Teacher, 43, 158-161 (March 2005) Wohl, S., and S. Schuster, “Hunting archer fish match their take-<strong>of</strong>f speed to distance from the future point<strong>of</strong> catch,” Journal <strong>of</strong> Experimental Biology, 209, 141-151 (2006)


Optics 86 Schuster, S., S. Wohl, M. Griebsch, and I. Klostermeier, “Animal cognition: How archer fish learn todown rapidly moving targets,” Current Biology, 16, 378-383 (2006) Schlegel, T., C. J. Schmid, and S. Schuster, “Archerfish shots are evolutionarily matched to preyadhesion,” Current Biology, 16, No. 19, R836-837 (10 October 2006) Wohl, S., and S. Schuster, “The predictive start <strong>of</strong> hunting archer fish: a flexible and precise motor patternperformed with the kinematics <strong>of</strong> an escape C-start,” Journal <strong>of</strong> Experimental Biology, 210, 311-324 (2007) Schuster, S., “Archerfish,” Current Biology, 17, No. 13, R494-R495 (3 July 2007) Temple, S. E., “Effect <strong>of</strong> salinity on the refractive index <strong>of</strong> water: considerations for archer fish aerialvision,” Journal <strong>of</strong> Fish Biology, 70, 1626-1629 (May 2007) Measuring and tracking eye movements <strong>of</strong> a behaving archer fish by real-time stereo vision,” Journal <strong>of</strong>Neuroscience Methods, 184, 235-243 (2009) Schuster, Stefan, “Big decisions by small networks,” Bioessays, 32, 727-735 (2010)6.86 Reading through a sealed envelopeThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, page 20; 2 ndedition, 2001, page 28 Hecht, E., "Why isn't paper transparent, like glass?" <strong>Physics</strong> Teacher, 22, 316-317 (1984) Birth, G. S., "Diffuse reflection," <strong>Physics</strong> Teacher, 24, 138-143 (1986) Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Leskela, M., “A model for the optical properties <strong>of</strong> paper. Part 1. The theory,” Paper and Timber, 75,Nos. 9-10, 683-688 (1993) Bartels, R., and R. Loxsom, “The sun-protection factors <strong>of</strong> wet and dry T-shirts,” <strong>Physics</strong> Teacher, 36, 86-89 (February 1998)Related reference Lettieri, T. R., E. Marx, J-F. Song, and T. V. Vorburger, “Light scattering from glossy coatings onpaper,” Applied Optics, 30, No. 30, 4439-4447 (20 October 1991)6.87 Short Story: Sword swallowing and esophagoscopyThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.leapfrog-entertainment.com/Artists/Big/BradB/BradB.htm Photo <strong>of</strong> sword swallowinghttp://www.youtube.com/watch?v=YxgEitL4YqQ Video <strong>of</strong> sword swallowingReferencesDots through indicate level <strong>of</strong> difficulty


Optics 87Journal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Suarez, C., A. Arango, and J. L. Lester III, “Cocaine-condom ingestion: surgical treatment,” Journal <strong>of</strong> theAmerican Medical Association, 238, No. 13, 1391-1392 (26 September 1977) Huizinga, E., “On esophagoscopy and sword-swallowing,” Annals <strong>of</strong> Otology, Rhinology and Laryngolgy,104, No. 4, Part 1, 259-266 (April 1995) Scheinin, S. A., and P. R. Wells, “Esophageal perforation in a sword swallower,” Texas Heart InstituteJournal, 28, No. 1, 65-68 (2001)Related reference Magnuson, E. E., and L. J. Burnett, “Screening system for detection <strong>of</strong> contraband swallowed narcotics,”Applied Magnetic Resonance, 25, Nos. 3-4, 567-575 (2004)6.88 Shower-door opticsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.ilovemuseumglass.com/aboutmuseumglass.asp museum glass discussionReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Miller, D., and G. Benedek, Intraocular Light Scattering: Theory and Clinical Application, Charles C.Thomas, 1973, pages 68-72 Bohren, C., "Second thoughts <strong>of</strong> an atmospheric physicist" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 42, 278-282 (1989) Walker, J., "When a polymer sheet is stretched, it may 'neck' long before it snaps" in "The AmateurScientist," Scientific American, 262, 100-105 (February 1990) Bohren, C. F., What Light through Yonder Window Breaks?, Wiley, 1991, pages 148-151 Dror, I., A. Sandrov, and N. S. Kopeika, “Experimental investigation <strong>of</strong> the influence <strong>of</strong> the relativeposition <strong>of</strong> the scattering layer on image quality: the shower curtain effect,” Applied Optics, 37, No. 27,6495-6499 (20 September 1998) Jaruwatanadilok, S., A. Ishimaru, and Y. Kuga, “Optical imaging through clouds and fog,” IEEETransactions on Geoscience and Remote Sensing, 41, No. 8, 1834- (August 2003)Related reference Briscoe, B. J., and K. P. Galvin, “The effect <strong>of</strong> surface fog on the transmittance <strong>of</strong> light,” Solar Energy,46, No. 4, 191-197 (1991)6.89 Magic <strong>of</strong> refractionThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 88ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Connolly, W. C., and T. L. Rokoske, "The disappearing dropper," <strong>Physics</strong> Teacher, 18, 467 (1980) Ellenstein, M., "Magic and physics," <strong>Physics</strong> Teacher, 20, 104-106 (1982) Melton, B. F., "A surprising demonstration <strong>of</strong> total internal reflection," <strong>Physics</strong> Teacher, 29, 539-540(1991)6.90 The invisible man and transparent animalsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.nrm.se/images/18.5fdc727f10d795b1c6e800028442/hrugosum4102(3).jpgReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Trokel S., “The physical basis for the transparency <strong>of</strong> the crystalline lens,” InvestigativeOphthalmology, 1, 493-501 (1962) Hart, R. W., and R. A. Farrell, “Light scattering in the cornea,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 59, No. 6, 766-774 (June 1969) Denton, E. J., “On the organization <strong>of</strong> reflecting structures in some marine animals,” PhilosophicalTransactions <strong>of</strong> the Royal Society <strong>of</strong> London B, 258, 285-313 (1970) Benedek, G. B., “Theory <strong>of</strong> the transparency <strong>of</strong> the eye,” Applied Optics, 10, 459-473 (1971) <strong>Chap</strong>man, G., “Transparency in organisms,” Experientia, 32, 123-125 (1976) Farrell, R. A., and R. L. McCally, “On corneal transparency and its loss with swelling,” Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 66, No. 4, 342-345 (April 1976) Anderson, R. R., and J. A. Parrish, “The optics <strong>of</strong> human skin,” Journal <strong>of</strong> Investigative Dermatology, 20,No. 15, 13-19 (1981) Delaye, M., and A. Tardieu, “Short-range order <strong>of</strong> crystallin proteins accounts for eye lens transparency,”Nature, 302, 415-417 (1983) Hecht, E., “Why isn’t paper transparent, like glass?” in “Questions Students Ask,” <strong>Physics</strong> Teacher, 22,316-317 (May 1984) Freund, D. E., R. L. McCally, and R. A. Farrell, “Direct summation <strong>of</strong> fields for light scattering byfibrils with applications to normal corneas,” Applied Optics, 25, No. 16, 2739 (15 August 1986) Leroy, D., A. Dompmartin, and P. Deschamps, “Increased penetration <strong>of</strong> epidermis by high intensityultraviolet rays following the application <strong>of</strong> Vaseline oil,” Photodermatology, 3, 51-52 (1986) Pr<strong>of</strong>io, A. E., “Light transport in tissue,” Applied Optics, 28, No. 12, 2216-2221 (15 June 1989) Herring, P. J., “Reflective systems in aquatic animals,” Comparative Biochemistry and Physiology A,109, No. 3, 513-546 (November 1994) Hebden, J. C., S. R. Arridge, and D. T. Delpy, “Optical imaging in medicine: I. Experimentaltechniques,” <strong>Physics</strong> in Medicine and Biology 42, 825-840 (1997)


Optics 89 Arridge, S. R., and J. C. Hebden, “Optical imaging in medicine: II. Modelling and reconstruction,”<strong>Physics</strong> in Medicine and Biology, 42, 841-853 (1997) Benaron, D. A., W. F. Cheong, and D. K. Stevenson, “Tissue optics,” Science, 276, No. 5321, 2002-2003(27 June 1997) Johnsen, S., and E. A. Widder, “The physical basis <strong>of</strong> transparency in biological tissue: ultrastructureand the minimization <strong>of</strong> light scattering,” Journal <strong>of</strong> Theoretical Biology, 199, 181-198 (1999) Nickell, S., M. Hermann, M. Essenpreis, T. J. Farrell, U. Kramer, and M. S. Patterson, “Anisotropy <strong>of</strong>light propagation in human skin,” <strong>Physics</strong> in Medicine and Biology, 45, 2873-2886 (2000) Benaron, D. A., S. R. Hintz, A. Villringer, D. Boas, A. Kleinschmidt, J. Frahm, C. Hirth, H. Obrig, J. C.van Houten, E. L. Kermit, W-F. Cheong, and D. K. Stevenson, “Noninvastive functional imaging <strong>of</strong> humanbrain using light,” Journal <strong>of</strong> Cerebal Blood Flow and Metabolism, 20, 469-477 (2000) Johnsen, S., “Transparent animals,” Scientific American, 282, No. 2, 80-89 (February 2000); humancornea is discussed in the box on page 88 Johnsen, S., “Hidden in plain sight: the ecology and physiology <strong>of</strong> organismal transparency,” BiologicalBulletin, 201, 301-318 (December 2001) Chen, Z., H. Ren, Z. Ding, Y. Zhao, J. Miao, and J. S. Nelson, “Simultaneous imaging <strong>of</strong> in situ tissuestructure, blood-flow velocity, standard deviation, birefringence and Stokes vectors in human skin,” Optics& Photonics News, 13, No. 12, 14 (December 2002) Herring, P., The Biology <strong>of</strong> the Deep Ocean, Oxford University Press, 2002, <strong>Chap</strong>ter 9, pages 188-197 Kim, A. D., and J. B. Keller, “Light propagation in biological tissue,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 20, No. 1, 92-98 (January 2003) Popp, A. K., M. T. Valentine, P. D. Kaplan, and D. A. Weitz, “Microscopic origin <strong>of</strong> light scattering intissue,” Applied Optics, 42, No. 16, 2872-2880 (1 June 2003) Johnsen, S., “Lifting the cloak <strong>of</strong> invisibility: the effects <strong>of</strong> changing optical conditions on pelagiccrypsis,” Integrative and Comparative Biology, 43, 580-590 (2003) Koropatnick, T. A., J. T. Engle, M. A. Apicella, E. V. Stabb, W. E. Goldman, and M. J. McFall-Ngai,“Microbial factor-mediated development in a host-bacterial mutualism,” Science, 306, 1186-1188 (12November 2004) Goho, A., “Moonlighting. Reflective protein causes squid to shimmer,” Science News, 165, 20-21 (10January 2004) Choi, B., L. Tsu, E. Chen, T. S. Ishak, S. M. Iskandar, S. Chess, and J. S. Nelson, “Determination <strong>of</strong>chemical agent optidcal clearing potential using in vitro human skin,” Lasers in Surgery and Medicine, 36,72-75 (2005) Bashkatov, A. N., E. A. Genina, A. A. Gavrilova, A. B. Pravdin, D. Tabatadze, J. Childs, I. Yaroslavsky,G. Altshuler, and V. V. Tuchin, “What exactly causes increase in skin transparency: water replacement ordehydration?” Lasers in Surgery and Medicine, Supplement 18, p. 84, abstract 284 (2006) Hirshburg, J., B. Choi, J. S. Nelson, and A. T. Yeh, “Collagen solubility correlates with skin opticalclearing,” Journal <strong>of</strong> Biomedical Optics, 11, No. 4, article # 040501 (3 pages) (July/August 2006) Hirshburg, J., B. Choi, J. S. Nelson, and A. T. Yeh, “Correlation between collagen solubility and skinoptical clearing using sugars,” Lasers in Surgery and Medicine, 39, 140-144 (2007) Proskurin, S. G., and I. V. Meglinski, “Optical coherence tomorgraphy imaging depth enhancement bysuperficial skin optical clearing,” Laser <strong>Physics</strong> Letters, 4, No. 11, 824-826 (2007) “See-through frog <strong>of</strong>fers inside information,” Nature, 449, 521 (4 October 2007) Castroviego-Fisher, S., I. De la Riva, and C. Vila, “Transparent frogs show potential <strong>of</strong> natural world,”Nature, 449, 972 (25 October 2007) Erren, T. C., R. J. Reiter, V. B. Meyer-Rochow, “Frog transparency led to discovery <strong>of</strong> melatonin,”Nature, 451, 127 (10 January 2008)Related references


Optics 90 Preuss, L. E., and A. E. Pr<strong>of</strong>io, “Optical properties <strong>of</strong> mammalian tissue: introduction by the featureeditors,” Applied Optics, 28, No. 12, 2207-2209 (15 June 1989) Freund, I., “Looking through walls and around corners,” Physica A, 168, 49-65 (1990) Leutwyler, K., “Optical tomography: light begins to shine as a noninvasive imaging tool,” ScientificAmerican, 270, 147-149 (January 1994) Ren, H., Z. Ding, Y. Zhao, J. Miao, J. S. Nelson, and Z. Chen, “Phase-resolved functional opticalcoherence tomography simultaneous imaging <strong>of</strong> in situ tissue structure, blood flow velocity, standarddeviation, birefringence, and Stokes vectors in human skin,” Optics Letters, 27, No. 19, (1 October 2002) Kim, A. D., “Light propagation in biological tissues containing an absorbing plate,” Applied Optics, 43,No. 3, 555-563 (20 January 2004) Bashkatov, A. N., E. A. Genina, V. I. Kochubey, and V. V. Tuchin, “Optical properties <strong>of</strong> human skin,subcutaneous and mucous tissues in the wavelength range form 400 to 2000 nm,” Journal <strong>of</strong> <strong>Physics</strong> D:Applied <strong>Physics</strong>, 38, 2543-2555 (2005)6.91 A road made crooked by refractionThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.References through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Wood, E. A., Scence from Your Airplane Window, Dover, 1975, page 71 Walker, J., "Shock front phenomena and other oddities to entertain a bored airline passenger" in "TheAmateur Scientist," Scientific American, 259, No. 3, 132-135 (September 1988)6.92 Watering during sunlightThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Gerber, J. F., J. Janick, J. D. Martsolf, C. Scamano, E. J. Stang, and S. C. Wiest, letters, "Is hot weathersprinkling deleterious to plants?" HortScience, 18, 402-404 (1983)Related references Onda, T., S. Shibuichi, N. Satoh, and K. Tsujii, “Super-water-repellent fractal surfaces,” Langmuir, 12,No. 9, 2125 (1996) Barthlott, W., and C. Neinhuis, “Purity <strong>of</strong> the sacred lotus, or escape from contamination in biologicalsurfaces,” Planta, 202, 1-8 (1997) Neinhuis, C., and W. Barthlott, “Characterization and distribution <strong>of</strong> water-repellent, self-cleaning plantsurfaces,” Annals <strong>of</strong> Botany, 79, 667-677 (1997)


Optics 91 von Baeyer, H. C., “The lotus effect: The secret <strong>of</strong> the self-cleaning leaves <strong>of</strong> the lotus plant, like thesubtlest applications <strong>of</strong> high technology, is simplicity itself,” Sciences, 40, No. 1, 12-15 (January/February2000) Otten, A., and S. Herminghaus, “How plants keep dry: a physicist’s point <strong>of</strong> view,” Langmuir, 20, 2405-2408 (2004) Cheng, Y.-T., and D. E. Rodak, “Is the lotus leaf superhydrophobic?” Applied <strong>Physics</strong> Letters, 86, article# 144101 (2005) Myint, H. H., A. M. Marpaung, H. Kurniawan, H. Hattori, and K. Kagawa, “Water droplet lensmicroscope and microphtographs,” <strong>Physics</strong> Education, 36, 97-101 (2001)6.93 Starting a fire with iceThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Scoresby, W. A., An Account <strong>of</strong> the Arctic Regions with a History and Description <strong>of</strong> the Northern Whale-Fishery, Vol. 1: The Arctic, Archibald Constable, 1820, pages 232-233 Verne, J., "Adventures <strong>of</strong> Captain Hatteras: the desert <strong>of</strong> ice," Works <strong>of</strong> Jules Verne, vol. 3, Vincent Parke& Co., 1911, <strong>Chap</strong>ter V, pages 28-29 Verne, J., The Mysterious Island, J. H. Sears & Company, 1927, <strong>Chap</strong>ter X Golding, W., Lord <strong>of</strong> the Flies, Coward-McCann, Inc., 1962, pages 44-45 Stamp, T., "William Scoresby, DD, FRS," New Scientist, 70, 24-25 (1976) Walker, J., "How lenses can be made out <strong>of</strong> ice, and what happens when c<strong>of</strong>fee is brewing in the ibrik," in"The Amateur Scientist," Scientific American, 248, 132-138 (April 1983)http://optica.ccmc.unam.mx/Optica/SciAm/IceLens/1983-04-body.html Huhn, J. K., "You can be myopic and still survive on a desert island!" <strong>Physics</strong> Teacher, 29, 577 (1991) Wheeler, M. G., photograph, Fundamentals <strong>of</strong> <strong>Physics</strong>, by D. Halliday, R. Resnick and J. Walker, Wiley,4th edition, 1993, page 1027; 7 th edition, 2005, page 9366.94 DiamondsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, pages 80-84 Darragh, P. J., A. J. Gaskin, and J. V. Sanders, "Opals," Scientific American, 234, 84-95 + 138 (April1976)


Optics 92 Friedman, H., "Demonstrations <strong>of</strong> the optical properties <strong>of</strong> diamonds," <strong>Physics</strong> Teacher, 19, 250-252(1981) Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, pages 218-219; 2 nd edition, 2001, pages 218-219 Sasian, J. M., P. Yantzer, and T. Tivol, “The optical design <strong>of</strong> gemstones,” Optics & Photonics News, 14,24-29 (April 2003) Lawson, S., “Spotting a fake,” <strong>Physics</strong> World, 19, No. 6, 23-27 (June 2006)Related reference Switzer, G. S., “The many-sided diamond,” National Geographic, 113, 568-586 (1958)6.95 OpalsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.opal-online.org/picts/opaloval.jpg the stonehttp://www.smh.com.au/ffxImage/urlpicture_id_1071337035521_2003/12/17/350_weevil,0.jpg the beetleReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Sanders, J. V., "Diffraction <strong>of</strong> light by opals," Acta Crystallographica A, 24, 427-434 (1968) Darragh, P. J., A. J. Gaskin, and J. V. Sanders, "Opals," Scientific American, 234, 84-95 + 138 (April1976) Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, pages 277-280; 2 nd edition, 2001, pages 273-275 Murray, C. A., and D. G. Grier, “Colloidal crystals,” American Scientist, 83, 238-245 (May-June 1995) Tsunekawa, S., Yu. A. Barnakov, V. V. Poborchii, S. M.Samoilovich, A. Kasuya, and Y. Nishina,“Characterization <strong>of</strong> precious opals: AFM and SEM observations, photonic band gap, and incorporation <strong>of</strong>CdS nano-particles,” Microporous Materials, 8, 275-282 (1997) Parker, A. R., V. L. Welch, D. Driver, and N. Martini, “Opal analogue discovered in a weevil,” Nature,426, 786-787 (18/25 December 2003)Related references Gu, Z.-Z., H. Uetsuka, K. Takahashi, R. Nakajima, H. Onishi, A. Fugishima, and O. Sato, “Structural colorand the lotus effect,” Angewandte Chemie-International Edition, 42, No. 8, 894-897 (2003) Palacios-Lidon, E., B. H. Juarez, E. Castillo-Martinez, and C. Lopez, “Optical and morphological study<strong>of</strong> disorder in opals,” Journal <strong>of</strong> Applied <strong>Physics</strong>, 97, article # 063502 (2005)6.96 Alexandrite effectThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 93http://www.youtube.com/watch?v=0yhcdCWEbsQ Video, commercialhttp://www.gemsociety.org/info/igem13.htm the stone under two lighting conditionsReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Harwood, W. S., “The colors <strong>of</strong> gems,” Chem Matters, 6, No. 4, 7-9 (December 1988) Liu, Y., J. Shigley, E. Fritsch, and S. Hemphill, “The ‘alexandrite effect’ in gemstones,” Color Researchand Application, 19, No. 3, 186-191 (June 1994) Liu, Y., J. Shigley, E. Fritsch, and S. Hemphill, “Abnormal hue-angle change <strong>of</strong> the gemstone tanzanitebetween CIE illuminants D65 and A in CIELAB color space,” Color Research and Application, 20, No. 4,245-250 (August 1995) Liu, Y., J. E. Shigley, E. Fritsch, and S. Hemphill, “Relationship between the crystallographic orientationand the ‘alexandrite effect’ in synthetic alexandrite,” Mineraolgical Magazine, 59, 111-114 (1995) Lu, T., Y. Liu, J. Shigley, T. Moses, and I. M. Reinitz, “Characterization <strong>of</strong> a notable historic gemdiamond showing the alexandrite effect,” Journal <strong>of</strong> Crystal Growth, 193, 577-584 (1998) Liu, Y., J. Shigley, T. Moses, and I. Reinitz, “The alexandrite effect <strong>of</strong> the Tavernier diamond caused byfluorescence under daylight,” Color Research Applications, 23, 323-327 (1998)6.97 Star sapphireThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=UFPJPM1lIfo&NR=1 Video, commercialhttp://palagems.com/sapphire_connoisseurship.htm Scroll down to the sapphireReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, second edition, Wiley,2001, pages 240-2416.98 Patterns from a glass <strong>of</strong> wine, a window, and a drop <strong>of</strong> waterThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.physics.wsu.edu/msoptoelectron/philip_marston.htm Philip Marston’s site, including a lovelydiffraction catastrophe produced by a water drophttp://fizyka.phys.put.poznan.pl/~pieransk/<strong>Physics</strong>%20Around%20Us/<strong>Physics</strong>%20around%20us.htmlhttp://www.phy.bris.ac.uk/people/berry_mv/gallery.html The website <strong>of</strong> Michael Berry, an expert on opticalcatastrophe theory (caustics).


Optics 94ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Schenck Jr., H., "On the focusing <strong>of</strong> sunlight by ocean waves," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 47, 653-657 (1957) Berry, M. V., "Waves and Thom's theorem," Advances in <strong>Physics</strong>, 25, 1-26 (1976) Berry, M. V., and J. F. Nye, "Fine structure in caustic junctions," Nature, 267, 34-36 (1977) Nye, J. F., "Optical caustics in the near field from liquid drops," Proceedings <strong>of</strong> the Royal Society <strong>of</strong>London A, 361, 21-41 (1978) Berry, M. V., "Les jeux de lumière dans l'eau," La Recherche, No. 92, 760-768 (1978) Tanner, L. H., "A study <strong>of</strong> the optics and motion <strong>of</strong> oil droplets," Optics & Laser Technology, 10, 125-128 (1978) Nye, J. F., "Optical caustics from liquid drops under gravity: observations <strong>of</strong> the parabolic and symbolicumbilics," Philosophical Transactions <strong>of</strong> the Royal Society <strong>of</strong> London A, 292, 25-44 (1979) Upstill, C., "Light caustics from rippling water," Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London A, 365,95-104 (1979) Berry, M. V., J. F. Nye, and F. J. Wright, "The elliptic umbilic diffraction catastrophe," PhilosophicalTransactions <strong>of</strong> the Royal Society <strong>of</strong> London A, 291, 453-484 (1979) Berry, M. V., and C. Upstill, "Catastrophe optics: morphologies <strong>of</strong> caustics and their diffractionpatterns," Progress in Optics, E. Wolf, editor, North-Holland, 1980, pages 257-346 Walker, J., "Dazzling laser displays that shed light on light" in "The Amateur Scientist," ScientificAmerican, 243, 158-168 (August 1980) Walker, J., "More about edifying visual spectacles produced by laser" in "The Amateur Scientist,"Scientific American, 244, 164-1970 (January 1981) Mattila, J. O., "Solbilder pa Hotel Sparta," Elementa, 64, 190-192 (1981) Upstill, C., F. J. Wright, J. V. Hajnal and R. H. Templer, "The double-cusp unfolding <strong>of</strong> the 0 X 9diffraction catastrophe," Optica Acta, 29, 1651-1676 (1982) Walker, J., "Caustics: mathematical curves generated by light shined through rippled plastic" in "TheAmateur Scientist," Scientific American, 249, 190-202 (September 1983) Gravesen, J., "Catastrophe theory and caustics," SIAM Review, 25, 239-247 (1983) Nye, J. F., and J. H. Hannay, "The orientations and distortions <strong>of</strong> caustics in geometrical optics," OpticaActa, 31, 115-130 (1984) Hajnal, J. V., R. H. Templer, and C. Upstill, "A ripple tank for studying optical caustics and diffraction,"European Journal <strong>of</strong> <strong>Physics</strong>, 5, 81-87 (1984) Bruce, J. W., P. J. Giblin, and C. G. Gibson, "Caustics through the looking glass," MathematicalIntelligencer, 6, 47-58 (1984) Greenslade Jr., T. B., "Caustics by reflection" in "19th Century Textbook Illustrations," <strong>Physics</strong> Teacher,22, 306 (1984) Tanner, L. H., "The form and motion <strong>of</strong> draining oil drops," Journal <strong>of</strong> <strong>Physics</strong> D: Applied <strong>Physics</strong>, 18,1311-1326 (1985) Nye, J. F., "The catastrophe optics <strong>of</strong> liquid drop lenses," Proceedings <strong>of</strong> the Royal Society <strong>of</strong> LondonA, 403, 1-26 (1986) Nye, J. F., D. R. Haws, and R. A. Smith, "Use <strong>of</strong> diffraction gratings with curved lines to study theoptical catastrophes D + 6 and D - 6," Journal <strong>of</strong> Modern Optics, 34, 407-427 (1987) Theocaris, P. S., "Multicusp caustics formed from reflections <strong>of</strong> warped surfaces," Applied Optics, 27,780-789 (1988) Wright, F., "Spectacles in the rain: catastrophe optics," <strong>Physics</strong> Bulletin, 39, 313-316 (1988)


Optics 95 Kassim, A. M., and D. L. Shealy, "Wave front equation, caustics, and wave aberration function <strong>of</strong>simple lenses and mirrors," Applied Optics, 27, 516-521 (1988) Bruce, J. W., P. J. Giblin, and C. G. Gibson, "On caustics <strong>of</strong> plane curves," American MathematicsMonthly, 88, 651-667 (1988) Lock, J. A., and J. R. Woodruff, "An analysis <strong>of</strong> two unusual reflection caustics," American Journal <strong>of</strong><strong>Physics</strong>, 57, 260-264 (1989) Walker, J., "A drop <strong>of</strong> water becomes a gateway into the world <strong>of</strong> catastrophe optics" in "The AmateurScientist," Scientific American, 261, 176-179 (September 1989) Berry, M., "Beyond rainbows," Current Science, 59, 1175-1191 (1990) Lock, J. A., J. D. Walker, and J. H. Andrews, "Using refraction caustics to monitor evaporation <strong>of</strong> liquiddrop lenses," Applied Optics, 29, 4599-4607 (1990) Dean, C. E., and P. L. Marston, “Opening rate <strong>of</strong> the transverse cusp diffraction catastrophe in lightscattered by oblate spheroidal drops,” Applied Optics, 30, No. 24, 3443-3451 (20 August 1991) Lock, J. A., and E. A. Hovenac, “Internal caustic structure <strong>of</strong> illuminated liquid droplets,” Journal <strong>of</strong> theOptical Society <strong>of</strong> America A, 8, No. 10, 1541 (October 1991) Dean, C. E., and P. L. Marston, “Opening rate <strong>of</strong> the transverse cusp diffraction catastrophe in lightscattered by oblate spheroidal drops,” Applied Optics, 30, No. 24, 3443-3451 (20 August 1991), errata: 32,No. 12, 2163 (20 April 1993) Lock, J. A., and J. H. Andrews, "Optical caustics in natural phenomena," American Journal <strong>of</strong> <strong>Physics</strong>,60, 397-407 (1992) Berry, M. V., and A. N. Wilson, “Black-and-white fringes and the colors <strong>of</strong> caustics,” Applied Optics,33, No. 21, 4714-4718 (20 July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4 Berry, M. V., and S. Klein, “Colored diffraction catastrophes,” Proceedings <strong>of</strong> the National Academy <strong>of</strong>Sciencies <strong>of</strong> the United States <strong>of</strong> America, 93, 2614-1619 (1996) Marston, P. L., “Descartes glare points in scattering by icicles: color photographs and a tilted dielectriccylinder model <strong>of</strong> caustic and glare-point evolution,” Applied Optics, 37, 1551-1556 (1998), contained onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4 Robinson, R. B., “Optical properties <strong>of</strong> double-glazed windows,” <strong>Physics</strong> Teacher, 36, 53-55 (January1998) Nye, J. F., Natural Focusing and Fine Structure <strong>of</strong> Light,” Institute <strong>of</strong> <strong>Physics</strong> Publishing, 1999,especially <strong>Chap</strong>ters 1 through 4; ISBN 0 7503 0610 6 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 93-95 Nye, J. F., “Dislocation lines in the swallowtail diffraction catastrophe,” Proceedings <strong>of</strong> the RoyalSociety A, 463, 343-355 (2007) Cepic, M., “Underwater rays,” European Journal <strong>of</strong> <strong>Physics</strong>, 29, 845-855 (2008) Nye, J. F., “Diffraction in lips and beak-to-beak caustics,” Journal <strong>of</strong> Optics A: Pure and Applied Optics,11, article # 065708 (7 pages) (2009)6.99 Shadows with bright borders and bandsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www-chaos.engr.utk.edu/~kde/birds/pics/insects/kde.water_strider.09june2001-utktg.01.jpgLook at the shadows below the legs <strong>of</strong> this water strider.Photo:


Optics 96http://www.microscopy-uk.org.uk/mag/indexmag.html?http://www.microscopyuk.org.uk/mag/artaug03/iwheath.htmlScroll down to the water strider photo. See how indentations in thewater? They cause the shadows in the photo <strong>of</strong> the preceding link.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Adler, C., "Shadow-sausage effect," American Journal <strong>of</strong> <strong>Physics</strong>, 35, 774-776 (1967) Smith, M. J., "Comment on: shadow-sausage effect," American Journal <strong>of</strong> <strong>Physics</strong>, 36, 912-914 (1968) Berry, M. V., and J. V. Hajnal, "The shadows <strong>of</strong> floating objects and dissipating vortices," Optica Acta,30, 23-40 (1983) Sterling, M. H., M. Gorman, P. J. Widmann, S. C. C<strong>of</strong>fman J. Strozier, and R. M. Kiehn, "Why are thesedisks dark? The optics <strong>of</strong> Rankine vortices," <strong>Physics</strong> <strong>of</strong> Fluids, 30, 3624-3626 (1987) Walker, J., "Shadows cast on the bottom <strong>of</strong> a pool are not like other shadows. Why?" in "The AmateurScientist," Scientific American, 259, 116-119 (July 1988) Ferraro, P., “What breaks the shadow <strong>of</strong> the tube?” <strong>Physics</strong> Teacher, 36, 542-543 (December 1998) Nye, J. F., Natural Focusing and Fine Structure <strong>of</strong> Light,” Institute <strong>of</strong> <strong>Physics</strong> Publishing, 1999,especially <strong>Chap</strong>ters 1 and 2; ISBN 0 7503 0610 6 Miao, R., Z. Yang, and J. Zhu, “Critical light reflection from curved liquid surface,” OpticsCommunications, 218, 199-203 (2003)6.100 Bright and dark bands over the wingThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Lamplough, F. E., "Shock-wave shadow photography in tunnel and in flight," Aircraft Engineering, 23,94-103 (April 1951) Wood, E. A., Science from Your Airplane Window, Dover, 1975, pages 71-72 Van Dyke, M., An Album <strong>of</strong> Fluid Motion, Parabolic Press, 1982, pages 132-133 Hewish, A., "In-flight movies," Nature, 306, 118 (1983) Walker, J., "Shock front phenomena and other oddities to entertain a bored airline passenger" in "TheAmateur Scientist," Scientific American, 259, 132-135 (September 1988)6.101 Short story: Shock waves from the Thrust SSC carThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Photoshttp://www.y1y1.com/data/media/166/ThrustSSC_4.jpgshock wavesThe distortions just above the care reveal four


Optics 97http://freespace.virgin.net/john.coppinger/thrustss.htmshock wave traveling along with the car.Scroll down to the aerial shot, which shows theVideoshttp://www.youtube.com/watch?v=LKQ-xj5C2m8 The car Thurst SSC breaks the sound barrier and setsthe land speed record. Montage <strong>of</strong> images <strong>of</strong> the car, its preparation, and the actual runs, including audio.You can hear the car’s sonic boom!http://www.youtube.com/watch?v=gaGO-we-Fag&mode=related&search= Soon after the supersonic carpasses the camera, we hear the shock wave.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Halliday, D., R. Resnick, and J. Walker, Fundamentals <strong>of</strong> <strong>Physics</strong>, 7 th edition, John Wiley & Sons, 2005,pages 275, 465, and 9266.102 Pinhole and pinspeck camerasThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.metacafe.com/watch/884241/matchbox_camera/ How to make a pinhole camera from amatchboxhttp://photo.net/learn/pinhole/pinholehttp://www.wesjones.com/pinhole.htm My aritcle in Scientific American about pinhole and pinspeckcamerasReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Walker, J., "The pleasures <strong>of</strong> the pinhole camera and its relative the pinspeck camera" in "The AmateurScientist," Scientific American, 245, 192-200 + 202 (November 1981) Hardy, A. C., and F. H. Perrin, The Principles <strong>of</strong> Optics, McGraw-Hill, 1932, pages 124-126 Turner, L. A., "Resolving power and the theory <strong>of</strong> the pinhole camera," American Journal <strong>of</strong> <strong>Physics</strong>, 8,112-115 (1940) Turner, L. A., "Best definition with the pinhole camera," American Journal <strong>of</strong> <strong>Physics</strong>, 8, 365-371 (1940) Ingalls, A. G., "Two optical matters: the making <strong>of</strong> a 'fish eye' camera and the buying <strong>of</strong> a microscope" in"The Amateur Scientist," Scientific American, 189, 110-118 (December 1953) Baez, A. V., "Pinhole-camera experiment for the introductory physics course," American Journal <strong>of</strong><strong>Physics</strong>, 25, 636-638 (1957) Sayanagi, K., "Pinhole imagery," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 57, 1091-1099 (1967) Swing, R. E., and D. P. Rooney, "General transfer function for the pinhole camera," Journal <strong>of</strong> theOptical Society America, 58, 629-635 (1968) Young, M., "Pinhole optics," Applied Optics, 10, 2763-2767 (1971) Floyd, B., "The fantastic Floydmar camera--The pinnacle <strong>of</strong> pinholery," Petersen's PhotographicMagazine, 1, 42-45 (September 1972)


Optics 98 Young, M., "Pinhole imagery," American Journal <strong>of</strong> <strong>Physics</strong>, 40, 715-720 (1972) Young, M., "Zone plates and their aberrations," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 62, 972-976(1972) Young, A. T., "Television photometry: the Mariner 9 experience," Icarus, 262-282 (1974); see pages277-279 "Partial phases <strong>of</strong> this month's solar eclipse," Sky & Telescope, 54, 276-277 (1977); see notes by K. Rose Edwards, H. B., and W. P. Chu, "Graphic design <strong>of</strong> pinhole cameras," Applied Optics, 18, 262-263(1979) Franke, J. M., "Field-widened pinhole camera," Applied Optics, 18, 2913-2914 (1979) Gaggioli, N. G., "Inexpensive system for obtaining high-quality pinholes <strong>of</strong> any diameter needed forspatial filtering," American Journal <strong>of</strong> <strong>Physics</strong>, 49, 88 (1981) Walker, J., "The pleasures <strong>of</strong> the pinhole camera and its relative the pinspeck camera" in "The AmateurScientist," Scientific American, 245, No. 5, pages 192-200 + 202 (November 1981). Available athttp://www.wesjones.com/pinhole.htm Cohen, A. L., "Anti-pinhole imaging," Optica Acta, 29, 63-67 (1982) Young, M., "Quantum noise limits the pinspeck camera to simple objects," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 72, 402-403 (1982) Hsu, T., "Reflective wide-angle pinhole camera," Applied Optics, 21, 2303-2304 (1982) Walker, J., "The Amateur Scientist," Scientific American, 246, 150-161 (April 1982); see page 161 Connors, K. A., "Resolution and definition in pinhole photography, part I: theory," Pinhole Journal, 1,No. 1, 11-22 (December 1985) www.pinholeresource.com Connors, K. A., "Resolution and definition in pinhole photography, part II: experimental studies," PinholeJournal, 2, No. 1, 10-20 (April 1986) www.pinholeresource.com Connors, K. A., Pinhole Journal, 2, No. 2, 29-30 (August 1986) www.pinholeresource.com Nilsson, T. H., "Pinhead mirror: a previously undiscovered imaging device?" Applied Optics, 25, 2863-2864 + cover (1986) Heald, M. A., "Computation <strong>of</strong> Fresnel diffraction," American Journal <strong>of</strong> <strong>Physics</strong>, 54, No. 11, 980-983(November 1986) Ferguson, J. L., “Why can we hear but not see around a corner?” American Journal <strong>of</strong> <strong>Physics</strong>, 54, No. 7,661-662 (July 1986) Patsakos, G., R. L. Hansen, and D. O'Shea, letters, Lasers & Optronics, 6, 12 (July 1987) Nilsson, T., "Pinhead mirrors: imaging, computing and the nature <strong>of</strong> light," Pinhole Journal, 4, no. 1, 2-5(April 1988) www.pinholeresource.com Cohen, A. L., "Anti-pinhole imaging," Pinhole Journal, 4, no. 1, 6-7 (April 1988)www.pinholeresource.com Connors, K. A., "Zone plate photography," Pinhole Journal, 4, no. 1, 26-32 (April 1988)www.pinholeresource.com Young, M., "The pinhole camera: imaging without lenses or mirrors," <strong>Physics</strong> Teacher, 27, 648-655(1989) Hogert, E. N., M. A. Rebollo, and N. G. Gaggioli, "Directional image processing using a pinhole camerawith a rectangular aperture," Applied Optics, 30, 1361-1365 (1991) Bissonnette, D., P. Rochon, and P. Somers, "The complementary pinhole camera," <strong>Physics</strong> Teacher, 29,214 (1991) Goldberg, F., S. Bendall, and I. Galili, “Lenses, pinholes, screens, and the eye,” <strong>Physics</strong> Teacher, 29, 221-224 (April 1991) Stewart, J. E., "The mystery <strong>of</strong> the negative pinhole," <strong>Physics</strong> Teacher, 29, 520-521 (1991) Clark, C. W., and Y. N. Demkov, “Making zone plates with a laser printer,” American Journal <strong>of</strong> <strong>Physics</strong>,59, No. 2, 158-162 (February 1991)


Optics 99 "Making and using pinhole cameras and zone plates," Pinhole Journal, 8, No. 1, entire issue (April 1992)www.pinholeresource.com Rabal, H. J., and G. M. Bilmes, "Double-slit camera," Applied Optics, 32, 2219-2221 (1993) Jakovidis, G., "A pinhole imaging experiment," <strong>Physics</strong> Teacher, 31, 500 (1993) Delsaute, J.-L., “The camera obscura and painting in the sixteenth and seventeenth centuries,” Studies inthe History <strong>of</strong> Art, 55, 110-123 (1998) Mills, A. A., “Vermeer and the camera obscura: some practical considerations,” Leonardo, 31, No. 3, 213-218 (1998) Steadman, P., “Commentary on ‘Vermeer and the camera obscura: some practical considerations’,”Leonardo, 32, No. 2, 137-141 (1999); response by A. A. Mills, pages 140-141 Palchikova, I. G., and S. G. Rautian, “The diffractive optical power <strong>of</strong> a diaphragm,” OpticsCommunication, 174, 1-5 (2000) Baigrie, B. S., “The scientific life <strong>of</strong> the camera obscura,” Optics & Photonics News, 11, No. 2, 18-21(February 2000) Levine, J., “Experimental visual experience devices,” Leonardo, 33, No. 1, 27-32 (2000) Cabe, P. A., “A ping-pong ball camera obscura,” Perception, 32, No. 7, 895-896 (2003) Jaroszewicz, Z., A. Burvall, and A. T. Friberg, “Axicon --- the most important optical element,” Optics &Photonics News, 16, No. 5, 34-39 (April 2005) Hon, G., and Y. Zik, “Geometry <strong>of</strong> light and shadow: Francesco Maurolyco (1494-1575) and the pinholecamera,” Annals <strong>of</strong> Science, 64, No. 4, 549-578 (October 2007) Cepic, M., A. G. Blagotinsek, and N. Razpet, “Looking through pinhole glasses with a digital camera,”<strong>Physics</strong> Teacher, 46, No. 3, 186-187 (March 2008)Related reference Camuffo, D., and G. Sturaro, “Sixty-cm submersion <strong>of</strong> Venice discovered thanks to Canaletto’s paintings,”Climatic Change, 58, 333-343 (2003)6.103 Solar images beneath a treeThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, pages 29-31 Arakawa, H., "Crescent-shaped shadows during a partial eclipse <strong>of</strong> the Sun," Weather, 16, 254-255 (1961) Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 66-67 Miller, E. E., and J. M. Norman, "A sunfleck theory for plant canopies II. Penumbra effect: intensitydistributions along sunfleck segments," Agronomy Journal, 63, 739-743 (1971) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pages 201-202 Anderson, M. C., and E. E. Miller, "Forest cover as a solar camera: penumbral effects in plant canopies,"Pinhole Journal, 1, No. 1, 3-6 (December 1985) Falk, D. S., D. R. Brill, and D. G. Stork, Seeing the Light. Optics in Nature, Photography, Color, Vision,and Holography, Harper & Row, 1986, pages 33-34


Optics 100 March, R. H., "Car in a driveway," <strong>Physics</strong> Teacher, 27, 662 (1989) Handojo, A., "Solar eclipse observation: some simple devices," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 28, 4293-4297 (1989) Romer, R. H., "Spots on the lawn," <strong>Physics</strong> Teacher, 28, 326 (1990) Greenslade Jr., T. B., “Pinhole images <strong>of</strong> the eclipsing sun,” <strong>Physics</strong> Teacher, 32, No. 6, 347 (September1994) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 201-203 Sigismondi, C., “Measuring the angular solar diameter using two pinholes,” American Journal <strong>of</strong> <strong>Physics</strong>,70, No. 11, 1157-1159 (November 2002)Related reference Handojo, A., “Solar eclipse observation: some simple devices,” Applied Optics, 28, No. 20, 4293-4297(15 October 1989)6.104 Lights through a screen, lines between fingersThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, page 163 Crawford Jr., F. S., Waves (Berkeley <strong>Physics</strong> Course, vol. 3), McGraw-Hill, 1968, page 487 Landegren, G. F., "Diffraction gratings everywhere," <strong>Physics</strong> Teacher, 15, 39-41 (1977) Lock, J. A., "Fresnel diffraction effects in misfocused vision," American Journal <strong>of</strong> <strong>Physics</strong>, 55, 265-269(1987) Gore, G. R., "Diffraction photographs with a laser pointer," <strong>Physics</strong> Teacher, 32, 174-175 (1994) Ferguson, J. L., “Why can we hear but not see around a corner?” American Journal <strong>of</strong> <strong>Physics</strong>, 54, No. 7,661-662 (July 1986)6.105 Bright scratches and colorful websThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Kirkpatrick, P., "A binocular illusion," American Journal <strong>of</strong> <strong>Physics</strong>, 22, 493 (1954) Walker, J., "Some entertaining lessons in optics that may make air travel easier to endure," in "TheAmateur Scientist," Scientific American, 259, 100-103 (August 1988)


Optics 101 Greenler, R. G., and J. W. Hable, "Colors in spider webs," American Scientist, 77, 368-373 (1989) Perkins, S., “Danger in the air. Volcanoes have a long reach,” Science News, 164, 168-170 (13 September2003) Russell, B., letter, go to newscientist.com, choose “The Last Word” button, search for “flying blind” ?? Tupper, A., S. Carn, J. Davey, Y. Kamada, R. Potts, F. Prata, and M. Tokuno, “An evaluation <strong>of</strong> volcaniccloud detection techniques during recent significant eruptions in the western ‘Ring <strong>of</strong> Fire’,” RemoteSensing <strong>of</strong> Environment 91, 27-46 (2004), see Table 2, item 2 Tajima, F., and Y. Nishiyama, “Light scattering from a birefringent cylinder, spider silk, slimmer thanthe wavelength approaches dipole radiation,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 22, No. 6, 1127-1131 (June 2005) Suhr, W., and J. J. Schlichting, “On the colours <strong>of</strong> spider orb-webs,” European Journal <strong>of</strong> <strong>Physics</strong>, 32,615-624 (2011)Related references Casadevall, T. J., “The 1989-1990 eruption <strong>of</strong> Redoubt Volcano, Alaska: impacts on aircraft operations,”Journal <strong>of</strong> Volcanology and Geothermal Research, 62, Nos. 1-4, 301-316 (1994) Hufford, G. L., L. J. Salinas, J. J. Simpson, E. G. Barske, and D. C. Pieri, “Operational implications <strong>of</strong>airborne volcanic ash,” Bulletin <strong>of</strong> the American Meteorological Society, 81, No. 4, 745-755 (April 2000) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 240-245 Simpson, J. J., G. L. Hufford, D. Pieri, R. Servranckx, J. S. Berg, and C. Bauer, “The February 2001eruption <strong>of</strong> Mount Cleveland, Alaska: case study <strong>of</strong> an aviation hazard,” Weather and Forecasting, 17, 691-704 (August 2002)6.106 Bright streaks in a car windshieldThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Kirkpatrick, P., "A binocular illusion," American Journal <strong>of</strong> <strong>Physics</strong>, 22, 493 (1954) Walker, J., "What do phonograph records have in common with windshield wipers?" in "The AmateurScientist," Scientific American, 261, 106-109 (July 1989)6.107 Reflections from a phonograph recordThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages


Optics 102 Lott, J. B., "Reflections on a gramophone record," Mathematical Gazette, 47, 113-118 (1963) Walker, J., "What do phonograph records have in common with windshield wipers?" in "The AmateurScientist," Scientific American, 261, 106-109 (July 1989)6.108 Colors on finely grooved itemsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.uwgb.edu/dutchs/acstalks/acscolor/CDCOLOR.jpghttp://shokabo.co.jp/sp_e/optical/labo/refref/030695.jpg Photo <strong>of</strong> bright lanes on illuminated CDReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Greenberg, L. H., and T. Balez, "Spectral analysis using a camera," American Journal <strong>of</strong> <strong>Physics</strong>, 40, 319-320 (1972) Bowman, R. L., "Comment on 'Spectral analysis using a camera'," American Journal <strong>of</strong> <strong>Physics</strong>, 41, 1297(1973) Breslow, R., "Street-light spectroscopy," American Journal <strong>of</strong> <strong>Physics</strong>, 44, 1227 (1976) Lane, M. C., and R. F. Garrison, "The night-sky spectrum <strong>of</strong> the city <strong>of</strong> Toronto," Journal <strong>of</strong> the RoyalAstronomical Society <strong>of</strong> Canada, 72, 198-205 (1978) Welty, S. R., "Long-playing diffraction grating," <strong>Physics</strong> Teacher, 19, 187 (1981) Walker, J., "The spectra <strong>of</strong> streetlights illuminate simple principles <strong>of</strong> quantum mechanics" in "TheAmateur Scientist," Scientific American, 250, 138-142 + 146 (January 1984) Isenberg, C., "Glittering gift wrappings examined," <strong>Physics</strong> Education, 23, 246-247 (1988) Noldeke, C., "Compact disc diffraction," <strong>Physics</strong> Teacher, 28, 484-485 (1990) Kruglak, H., "The compact disc as a diffraction grating," <strong>Physics</strong> Education, 25, 255 (1990) Kettler, J. E., "The compact disk as a diffraction grating," American Journal <strong>of</strong> <strong>Physics</strong>, 59, 367-368(1991) Mebane, R. C., and T. R. Rybolt, "Atomic spectroscopy with a compact disc," Journal <strong>of</strong> ChemicalEducation, 69, 401-402 (1992) Brouwer, H., "Line spectra using a CD disc," Journal <strong>of</strong> Chemical Education, 69, 829 (1992) Zanetti, V., and J. Harris, "Spectra <strong>of</strong> three light sources with a CD," <strong>Physics</strong> Teacher, 31, 82-83 (1993) Kruglak, H., "Diffraction demonstration with a compact disc," <strong>Physics</strong> Teacher, 31, 104-256 (1993) Cornwall, M. G., “CD means colourful diffraction,” <strong>Physics</strong> Education, 28, 12-14 (1993) Knauer, T., “A compact disk transmission spectroscope,” <strong>Physics</strong> Teacher, 40, 466-467 (November 2002) Gluck, P., “Compact disk optics,” <strong>Physics</strong> Teacher, 40, 468-469 (November 2002) Byrne, A., “Compact disk spectroscopes revisited!” <strong>Physics</strong> Teacher, 41, 144-145 (March 2003) Lee, W., P-C Lin, and C-K Tseng, “Compact disc doubles as a chromatic lens,” <strong>Physics</strong> Education, 39,384-386 (September 2004) Ouseph, P. J., “CD rainbows,” <strong>Physics</strong> Teacher, 45, 11-13 (January 2007) Planinsic, G., A. Corona, and J. Slisko, “Rainbow-like spectra with a CD: An active-learning exercise,”<strong>Physics</strong> Teacher, 46, 329-332 (September 2008) Ivanov, D. T., and S. N. Nikolov, “White-light diffraction with a CD,” <strong>Physics</strong> Education, 45, 117-228(May 2010)


Optics 103Related reference Cope, J. A., “The physics <strong>of</strong> the compact disc,” <strong>Physics</strong> Education, 28, 15-21 (1993) Mohammadpour, H., “Look around to learn physics,” <strong>Physics</strong> Teacher, 46, 158-159 (March 2008)6.109 Anticounterfeiting: Optically variable devicesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Chesak, C. E., “Holographic counterfeit protection,” Optics Communication, 115, 429-436 (1995) Lunazzi, J. J., and J. M. J. Ocampo, “Binocular disparity and stereopsis obtained under white light with adiffraction grating,” Journal <strong>of</strong> Modern Optics, 42, No. 1, 3-6 (1995) Tompkin, W. R., R. Staub, A. Schilling, and H.-P. Herzig, “Diffraction from metallic gratings withlocally varying pr<strong>of</strong>ile forms,” Optics Letters, 24, No. 2, 71-73 (15 January 1999) Staub, R., W. R. Tompkin, and A. Schilling, “Gratings <strong>of</strong> constantly varying depth for visual securitydevices,” Optical Engineering, 38, No. 1, 89-98 (January 1999) Pires, P., and J. M. Rebordao, “Color dynamics <strong>of</strong> diffraction gratings: evaluation and applications inoptical security,” Applied Optics, 38, No. 35, 7183-7192 (10 December 1999) Hardin, R. W., “Optical tricks designed to foil counterfeiters,” OE Reports, No. 191 (November 1999) Hardin, R. W., “Optical tricks dsigned to foil counterefeiters,” OE Reports, No. 191, November 1999 Stepien, P., “Computer generated holograms versus synthetic diffraction gratings in optically variabledevices,” Optica Applicata, 30, Nos. 2-3, 257-269 (2000) Gale, M. T., K. Knop, and R. Morf, “Zero-order diffractive microstructures for security applications,”SPIE Milestone Series, 166, 613-619 (2001) Janucki, J., and J. Owsik, “A holographic method for document protection against counterfeit,” OpticsCommunications, 228, 63-69 (2003)Related references Gruhl, D., and W. Bender, “Information hiding to foil the casual counterfeiter,” Lecture Notes inComputer Science, Issue 1525, 1-15 (1998) Petitcolas, F. A., R. J. Anderson, and M. G. Kuhn, “Information hiding---a survey,” Proceedings <strong>of</strong> theIEEE, 87, No. 7, 1062-1078 (July 1999) Martin, J. R., and M. Kutter, “Information retrieval in digital watermarking,” IEEE CommunicationsMagazine, 39, No. 8, 110-116 (August 2001) Balko, L., and J. Allison, “The direct detection and identification <strong>of</strong> staining dyes from security inks in thepresence <strong>of</strong> other colorants, on currency and fabrics, by laser desorption mass spectrometry,” Journal <strong>of</strong>Forensic Science, 48, No. 5, 1172-1178 (September 2003)6.110 Colored rings from a misty or dusty mirrorThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 104ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Meyer, C. F., The Diffraction <strong>of</strong> Light, X-Rays, and Material Particles, 2nd edition, J. W. Edwards, 1949,page 244 ff Pohl, R. W., "Discovery <strong>of</strong> interference by Thomas Young," American Journal <strong>of</strong> <strong>Physics</strong>, 28, 530-532(1960) Stokes, G. G., "On the colours <strong>of</strong> thick plates," in Mathematical and Physical Papers by Stokes, vol. III.The Sources <strong>of</strong> Science, no. 33, Johnson Reprint Corporation, 1966, pages 155-196 de Witte, A. J., "Interference in scattered light," American Journal <strong>of</strong> <strong>Physics</strong>, 35, 301-313 (1967) Holdsworth, I. C., "Interference fringes from the front surface <strong>of</strong> a mirror," <strong>Physics</strong> Education, 12, 436-437 (1977) Aggarwal, A. K., and P. C. Gupta, "Scatter light interference using laser speckles," American Journal <strong>of</strong><strong>Physics</strong>, 46, 1193-1194 (1978) Walker, J., "Interference patterns made by motes on dusty mirrors" in "The Amateur Scientist," ScientificAmerican, 245, 146-152 + 154 (August 1981) Bourdinaud, M., and H. Blumenfeld, "Rings observed on a transparent plate coated with a diffusinglayer," Applied Optics, 26, 4009-4013 (1987) Bohren, C., "Interference patterns on garage door windows" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 40, 266-270 (1987) Bohren, C., "Resolution <strong>of</strong> a mystery" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 41,110 (1988) Bohren, C. F., What Light through Yonder Window Breaks?, Wiley, 1991, pages 13-23 Barabanenkov, Y. N., Y. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, “Enhanced backscattering inoptics,” in Progress in Optics, Vol. XXIX, North Holland, Elsevier Science Publishers, 1991, pages 65-197,see page 171. Gonzalez, J., A. Bravo, and K. Juarez, “Interference <strong>of</strong> laser light scattered from a ‘dusty’ plane mirror,”American Journal <strong>of</strong> <strong>Physics</strong>, 67, No. 9, 839-840 (September 1999) Bridge, N. J., “A novel effect <strong>of</strong> scattered-light interference in misted mirrors,” <strong>Physics</strong> Education, 40, No.4, 359-364 (July 2005) Suhr, W., and H. J. Schlichting, “Quetelet’s fringes due to scattering by small spheres just above areflecting surface,” Applied Optics, 48, No. 26, 4978-4984 (10 September 2009)Related reference <strong>Chap</strong>man, H. N., S. P. Hau-Riege, M. J. Bogan, S. Bajt, A. Barty, S. Boutet, S. Machesini, M. Frank, B.W. Woods, W. H. Benner, R. A. London, U. Rohner, A. Szoke, E. Spiller,T. Moller, C. Bostedt, D. A.Shapiro, M. Kuhlmann, R. Treusch, E. Plonjes, F. Burmeister, M. Bergh, C. Caleman, G. Huldt, M. M.Seibert, and J. Hajdu, “Femtosecond time-delay X-ray holography,” Nature, 448, No. 7154, 676-679 (9August 2007) Castelvecchi, D., “Newton’s dusty mirror,” Science News, 172, 86 (11 August 2007)6.111 Color <strong>of</strong> milk in waterThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.Comments


Optics 105ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Satterly, J., “Casual observations on milk, pickled beet-root, and dried-up puddles,” American Journal <strong>of</strong><strong>Physics</strong>, 24, No. 7, 529-530 (October 1956) Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 60-61 Patton, S., "Milk," Scientific American, 221, 59-68 (July 1969) Bohren, C. F., "Multiple scattering at the breakfast table" in "Simple Experiments in Atmospheric<strong>Physics</strong>," Weatherwise, 36, 143-146 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 14 Birth, G. S., "Diffuse reflection," <strong>Physics</strong> Teacher, 24, 138-143 (1986) Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988) Huebner, J. S., "'A golden oldie': projecting a sunset," <strong>Physics</strong> Teacher, 32, 147 (1994) Nassau, K., The <strong>Physics</strong> and chemistry <strong>of</strong> Color. The Fifteen Causes <strong>of</strong> Color, John Wiley & Sons, 2001,pages 231-235Related reference DiLisi, G. A., C. M. Winters, L. A. DiLisi, and K. M. Peckinpaugh, “Got milk? A Beer’s Lawexperiment,” <strong>Physics</strong> Teacher, 43, 144-147 (March 2005)6.112 Color <strong>of</strong> campfire smokeThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 235-237 Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, page 147 Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988) Minnaert, M., Light and Color in the Open Air, translated and revised by L. Seymour, Spring-Verlag,1993, pages 260-261, ISBN 0-387—97935-2, 3-540-97935-2, 0-387-94413-3 Lynch, D. K., and L. S. Bernstein, “Color <strong>of</strong> smoke from brush fires,” Applied Optics, 47, No. 34,H143-H148 (1 December 2008)Related reference Miller, J. S., “Observations on the smoke trail <strong>of</strong> a sky-writer,” American Journal <strong>of</strong> <strong>Physics</strong>, 21, 391(1953)6.113 Ouzo effect


Optics 106This item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Mayorga, A., and D. Thompson, “A critical exponent <strong>of</strong> an aniseed-based liquor,” American Journal <strong>of</strong><strong>Physics</strong>, 64, No. 5, 621-623 (May 1996) Vitale, S. A., and J. L. Katz, “Liquid droplet dispersions formed by homogeneous liquid-liquid nucleation:‘the ouzo effect’,” Langmuir, 19, 4105-4110 (2003) Grillo, I., “Small-angle neutron scattering study <strong>of</strong> a world-wide known emulsion: Le Pastis,” Colloids andSurfaces A: Physicochemical and Engineering Aspects, 225, Nos. 1-3, 153-160 (2003) Sitnikova, N. L., R. Sprik, G. Wegdam, and E. Eiser, “Spotaneously formed trans-anethol/water/alcoholemulsions: Mechanism <strong>of</strong> formation and stability,” Langmuir, 21, 7083-7089 (2005) Scholten, E., E. van der Linden, and H. This, “The life <strong>of</strong> an anise-flavored alcoholic beverage: Does itsstability cloud or confirm theory?” Langmuir, 24, 1701-1706 (2008)Related reference Burnett, G. R., R. Atkin, S. Hicks, and J. Eastoe, “Surfactant-free ‘emulsions’ generated by freeze-thaw,”Langmuir, 20, 5673-5678 (2004)6.114 Colors <strong>of</strong> oil slicks, soap films, and metal cooking potsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.funsci.com/fun3_en/exper2/exper2.htm At midheight, swirling varies the film thickness andthus also the colors. Note that the film is whitish higher up, where it is thiner, and it is black where thethickness is even less (less than the wavelength <strong>of</strong> visible light).http://sol.sci.uop.edu/~jfalward/physics17/chapter11/chapter11.htmlReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Lawrence, A. S. C., Soap Films, G. Bell and Sons, London, 1929 Satterly, J., "C. V. Boy's rainbow cup and experiments with thin films," American Journal <strong>of</strong> <strong>Physics</strong>, 19,448-451 (1951) Revell, R. S. M., and A. W. Agar, "The preparation <strong>of</strong> uniform plastic films," British Journal <strong>of</strong> Applied<strong>Physics</strong>, 6, 23-25 (1955) Bermann, L., "Experiments with vibrating soap membranes," The Journal <strong>of</strong> the Acoustical Society <strong>of</strong>America, 28, 1043-1047 (1956) Boys, C. V., Soap Bubbles, Doubleday Anchor Books, 1959 Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, pages 139ff Kubota, H., "Interference color," Progress in Optics, vol. 1, E. Wolf, editor, North-Holland, 1961, pages213-251


Optics 107 Mysels, K. J., "Soap films and some problems in surface and colloid chemistry," The Journal <strong>of</strong> PhysicalChemistry, 68, 3441-3448 (1964) Jones, M. N., K. J. Mysels, and P. C. Scholten, "Stability and some properties <strong>of</strong> the second black film,"Transactions <strong>of</strong> the Faraday Society, 62, part 5, 1336-1348 (1966) Mysels, K. J., "Dynamic processes in soap films," The Journal <strong>of</strong> General Physiology, 52, no. 1, Part 2,113s-124s (1968) Mysels, K. J., "Soap films and some fundamentals <strong>of</strong> thin-liquid films," The Journal <strong>of</strong> the American OilChemists' Society, 45, 139-140 (1968) Dewar, J., "Studies on liquid films" in The Royal Institution Library <strong>of</strong> Science: Physical Sciences, W. L.Bragg and G. Porter, editors, Elsevier, 1970, volume 8, pages 136-178 Bragg, W., "Liquid films" in The Royal Institution Library <strong>of</strong> Science: Physical Sciences, W. L. Bragg andG. Porter, editors, Elsevier, 1970, Volume 10, pages 446-457 Highsmith, P. E., "The beautiful world <strong>of</strong> interference," <strong>Physics</strong> Teacher, 8, 270-271 (1970) Davis, J. A., "Soap film interference projection," <strong>Physics</strong> Teacher, 12, 177-178 (1974) Fote, A. A., R. A. Slade, and S. Feuerstein, "Thermally induced migration <strong>of</strong> hydrocarbon oil," TheJournal <strong>of</strong> Lubrication Technology, 99, 158-162 (1977) Walker, J., "The bright colors in a soap film are a lesson in wave interference" in "The Amateur Scientist,"Scientific American, 239, 232-240 + 242 (September 1978) Walker, J., "The Amateur Scientist," Scientific American, 240, 189-200 (June 1979); see pages 198-200 Isenberg, C., "Soap films and bubbles," <strong>Physics</strong> Education, 16, 218-222 (1981) Trefil, J., "Thick film interference," <strong>Physics</strong> Teacher, 21, 119-121 (1983) Brown, L. W., "Oil slick interference rings in the laboratory," <strong>Physics</strong> Education, 19, 78-79 (1984) Siddons, C., "Soap bubble spectra: Newton would be pleased with this easily constructed 'rainbow cup' -- adramatic demonstration <strong>of</strong> the laws <strong>of</strong> optics in a soap bubble," Science Teacher, 22, 26-27 (January 1984) Bruner, L. J., "Stable black soap films," American Journal <strong>of</strong> <strong>Physics</strong>, 53, 177-178 (1985) Walker, J., "Music and ammonia vapor excite the color pattern <strong>of</strong> a soap film" in "The Amateur Scientist,"Scientific American, 257, 104-107 + 116 (August 1987) Graham, G. R., "DIY physics -- the paper scraper paper," <strong>Physics</strong> Education, 24, 26-29 (1989) Ramme, G., "Colors on soap films -- an interference phenomenon," <strong>Physics</strong> Teacher, 28, 479-480 (1990) Ramme, G., "Reflected laser light from a soap bubble – a demonstration experiment," <strong>Physics</strong> Education,27, 282-286 (1992) Ramme, G., "Science and art --- rotating and vibrating soap films," <strong>Physics</strong> Teacher, 31, 124-125 (1993) Krichevsky, O., and J. Stavans, “Micellar stratification in soap films: a light scattering study,” PhysicalReview Letters, 74, No. 14, 2752-2755 (3 April 1995) Carlson, S., “Fun with flat fluids,” in “The Amateur Scientist,” Scientific American, 282, No. 5, 106-108(May 2000) Ruckenstein E., and M. Manciu, “On the stability <strong>of</strong> the common and Newton black films,” Langmuir,18, 2727-2736 (2002) Casteletto, V., I. Cantat, D. Sarker, R. Bausch, D. Bonn, and J. Meunier, “Stability <strong>of</strong> soap films:hysteresis and nucleation <strong>of</strong> black films,” Physical Review Letters, 90, No. 4, article # 048302 (4 pages) (31January 2003) Wheeler, C. R., P. N. Henriksen, and R. D. Ramsier, “Visibility <strong>of</strong> thin-film interference fringes,”American Journal <strong>of</strong> <strong>Physics</strong>, 72, No. 2, 279-281 (February 2004) Gratton, L. M., and S. Oss, “Soap, colors, holes, and much more,” <strong>Physics</strong> Teacher, 43, 338-339(September 2005) Huang, D-w., W-n. Huang, and H-c. Tseng, “The colour <strong>of</strong> bubbles,” <strong>Physics</strong> Education, 40, No. 6, 566-568 (November 2005) Medina, J. M., “Linear basis for metallic and iridescent colors,” Applied Optics, 47, No. 30, 5644-5653(20 October 2008)


Optics 108Related references Vasta, L. P. S., "Production <strong>of</strong> Newton's rings," Applied Optics, 13, 1544 (1974)Ferguson, J. L., "Thermal window interferometer," American Journal <strong>of</strong> <strong>Physics</strong>, 50, 1021-1024 (1982) Yokoi, N., Y. Takehisa, and S. Kinoshita, “Correlation <strong>of</strong> tear lipid layer interference patterns with thediagnosis and severity <strong>of</strong> dry eye,” American Journal <strong>of</strong> Ophthalmology, 122, No. 6, 818-824 (1996) King-Smith, P. E., B. A. Fink, N. Fogt, K. K. Nichols, R. M. Hill, and G. S. Wilson, “The thickness <strong>of</strong>the human precorneal tear film: evidence from reflection spectra,” Investigative Ophthalmology & VisualScience, 41, No. 11, 3348-3359 (October 2000) Khamene, A., S. Negahdaripour, and C. G. Scheffer, “A spectral-discrimination method for tear-filmlipid-layer thickness estimation from fringe pattern images,” IEEE Transactions on Biomedical Engineering,47, No. 2, 249- (January 2000) Ruckenstein, E., and M. Manciu, “On the stability <strong>of</strong> the common and Newton black films,” Langmuir,18, 2727-2736 (2002) Berger, C., B. Desbat, H. Kellay, J.-M. Turlet, and D. Blaudez, “Water confinement effects in black soapfilms,” Langmuir, 19, No. 1, 1-5 (7 January 2003) Yokoi, N., and A. Komuro, “Non-invasive methods <strong>of</strong> assessing the tear film,” Experimental EyeResearch, 78, 399-407 (2004) Bresme, F., and J. Faraudo, “Computer simulation studies <strong>of</strong> Newton black films,” Langmuir, 20, 5127-5137 (2004)6.115 Structural colors <strong>of</strong> insects, fish, birds, and monkey buttsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=bG96K14bAvA Nice video, showing the change in color as a Morphobutterfly opens its wings.http://www.youtube.com/watch?v=OaXAB3vUEyk Video, morpho butterfly. Colors are a bit washed outbut you can still see them change with the angle <strong>of</strong> view is changed.http://www.youtube.com/watch?v=INXo0hD8WNY Video, morpho butterfly.http://www.kitcarmag.com/featuredvehicles/142_0303_diablo_1_c_s.jpg Photo, iridescent car painthttp://www.sfondideldesktop.com/Images-Animals/Baboon/Mandrill-Baboon-Face-Closeup-0.JpgMandrill baboon face showing the blue due to the scattering and interference <strong>of</strong> light by the collagen in theskin.http://www.naturalsciences.org/education/Belize/gallery/morpho.html Note the blue on the top <strong>of</strong> the wingand the brown on the bottom. The top should be brown also.http://www.ivyhall.district96.k12.il.us/4th/kkhp/1insects/hercbeetle.html Hercules beetleshttp://wastedspacewastedtime.blogspot.com/2006/05/six-spotted-tiger-beetle.html Tiger beetleshttp://www.mikelevin.com/PeacockFeathers1024.jpg Peacock feathershttp://www.snh.org.uk/publications/online/naturallyscottish/dragonfly/images/22.%20Northern%20Damselfly%20-m-%20(c)D.Goddard.jpgDamselflyReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages


Optics 109 Mason, C. W., "Structural colors in feathers. I," The Journal <strong>of</strong> Physical Chemistry, 27, 201-251 (1923) Merritt, E., "A spectrophotometric study <strong>of</strong> certain cases <strong>of</strong> structural colors," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 11, 93-98 (1925) Mason, C. W., "Structural colors in insects. I," The Journal <strong>of</strong> Physical Chemistry, 31, 383-395 (1926) Mason, C. W., "Structural colors in insects. II," The Journal <strong>of</strong> Physical Chemistry, 31, 321-354 (1927) Mason, C. W., "Structural colors in insects. III," The Journal <strong>of</strong> Physical Chemistry, 31, 1856-1872 (1927) Anderson, T. F., and A. G. Richards Jr., "An electron microscope study <strong>of</strong> some structural colors <strong>of</strong>insects," Journal <strong>of</strong> Applied <strong>Physics</strong>, 13, 748-758 (1942) Greenewalt, C. H., W. Brandt, and D. D. Friel, "Iridescent colors <strong>of</strong> hummingbird feathers," Journal <strong>of</strong>the Optical Society <strong>of</strong> America, 50, 1005-1013 (1960) Wright, W. D., "'The rays are not coloured'," Nature, 198, 1239-1244 (1963) Huxley, A. F., "A theoretical treatment <strong>of</strong> the reflexion <strong>of</strong> light by multilayer structures," Journal <strong>of</strong>Experimental Biology, 48, 227-245 (1968) Hinton, H. E., and D. F. Gibbs, "Diffraction gratings in Phalacrid beetles," Nature, 221, 953-954 (1969) Neville, A. C., and S. Caveney, "Scarabeid beetle exocuticle as an optical analogue <strong>of</strong> cholesteric liquidcrystals," The Biological Review, 44, 531-562 (1969) Hinton, H. E., "Some structures <strong>of</strong> insects as seen with the scanning electron microscope," Micron, 1, 84-108 (1970) Hinton, H. E., "Some little known surface structures," Symposia <strong>of</strong> the Royal Entomological Society <strong>of</strong>London, 5, 41-58 (1970) Denton, E., "Reflectors in fishes," Scientific American, 224, 64-72 + 122 (January 1971) Hinton, H. E., and D. F. Gibbs, "Diffraction gratings in Gyrinid beetles," Journal <strong>of</strong> Insect Physiology,17, 1023-1035 (1971) Caveney, S., "Cuticle reflectivity and optical activity in Scarab beetles: the role <strong>of</strong> uric acid," Proceedings<strong>of</strong> the Royal Society <strong>of</strong> London B, 178, 205-225 (1971) Ghiradella, H., D. Aneshansley, T. Eisner, R. E. Silberglied, and H. E. Hinton, "Ultraviolet reflection <strong>of</strong> amale butterfly: interference color caused by thin-layer elaboration <strong>of</strong> wing scales," Science, 178, 1214-1217(1972) Land, M. F., "The physics and biology <strong>of</strong> animal reflectors," Progress in Biophysics and MolecularBiology, 24, 75-106 (1972) Hinton, H. E., "Physiological colour change in the Hercules beetle," Nature, 238, 160-161 (1972) Hinton, H. E., "Some recent work on the colours <strong>of</strong> insects and their likely significance," Proceedings andTransactions <strong>of</strong> the British Entomological Society, 6, 43-54 (1973) Hinton, H. E., and G. M. Jarman, "Physiological colour change in the elytra <strong>of</strong> the Hercules beetle,Dynastes Hercules," Journal <strong>of</strong> Insect Physiology, 19, 533-549 (1973) Hinton, H. E., "Natural deception" in Illusion in Nature and Art, R. L. Gregory and E. H. Gombrich,editors, Charles Scribner's Sons, 1973, pages 97-159 Ghiradella, H., "Development <strong>of</strong> ultraviolet-reflecting butterfly scales: how to make an interferencefilter," Journal <strong>of</strong> Morphology, 142, 395-410 (1974) Byers, J. R., "Tyndall blue and surface white <strong>of</strong> tent caterpillars, Malacosoma Spp.,” Journal <strong>of</strong> InsectPhysiology, 21, 401-415 (1975) Huxley, J., "The coloration <strong>of</strong> Papilio zalmoxis and P. antimachus, and the discovery <strong>of</strong> Tyndall blue inbutterflies," Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London B, 193, 441-453 (1976) Nijhout, H. F., "The color patterns <strong>of</strong> butterflies and moths," Scientific American, 245, 140-151 + 202(November 1981) Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, pages 323-326; 2 nd edition, 2001, pages 317-325 Ghiradella, H., "Structure <strong>of</strong> iridescent Lepidopteran scales: variations on several themes," Annals <strong>of</strong> theEntomological Society <strong>of</strong> America, 77, 637-645 (1984)


Optics 110 Konnen, G. P., Polarized Light in Nature, Cambridge University Press, 1985, pages 83-85 Schultz, T. D., and M. A. Rankin, "The ultrastructure <strong>of</strong> the epicuticular interference reflectors <strong>of</strong> tigerbeetles (Cicindela)," The Journal <strong>of</strong> Experimental Biology, 117, 87-110 (1985) Schultz, T. D., and M. A. Rankin, "Developmental changes in the interference reflectors and colorations <strong>of</strong>tiger beetles (Cicindela)," The Journal <strong>of</strong> Experimental Biology, 117, 111-117 (1985) Cooper, K. M., and R. T. Hanlon, "Correlation <strong>of</strong> iridescence with changes in the iridophore plateletultrastructure in the squid Lolliguncula Brevis," The Journal <strong>of</strong> Experimental Biology, 121, 451-455 (1986) Schultz, T. D., "Role <strong>of</strong> structural colors in predator avoidance by tiger beetles <strong>of</strong> the genus Cicindela(Coleoptera: Cicindelidae)," Bulletin <strong>of</strong> the Entomological Society <strong>of</strong> America, 32, 142-146 (1986) Thomsen, D. E., "How the blue jay got blue," Science News, 130, 281 (1986) Schultz, T. D., and N. F. Hadley, "Structural colors <strong>of</strong> tiger beetles and their role in heat transfer throughthe integument," Physiological Zoology, 60, 737-745 (1987) Ghiradella, H., "Structure and development <strong>of</strong> iridescent butterfly scales: lattices and laminae," Journal <strong>of</strong>Morphology, 202, 69-88 (1989) Schultz, T. D., and G. D. Bernard, "Pointillistic mixing <strong>of</strong> interference colours in cryptic tiger beetles,"Nature, 337, 72-73 (1989) Ghiradella, H., “Light and color on the wing: structural colors in butterflies and moths,” Applied Optics,30, No. 24, 3492-3500 (August 1991), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org Halliday, D., R. Resnick, and J. Walker, Fundamentals <strong>of</strong> <strong>Physics</strong>, Wiley, in 4 th edition (1993), pages1049, 1063-1064; in 5 th edition (1997), pages 916-917 Ghiradella, H., “Structure <strong>of</strong> butterfly scales: patterning in an insect cuticle,” Microscopy Research andTechnique, 27, 429-438 (1994) Brink, D. J., J. E. Smit, M. E. Lee, and A. Moller, "Optical diffraction by the microstructure <strong>of</strong> the wing<strong>of</strong> a moth," Applied Optics, 34, 6049-6057 (1995) Peterson, I., "Butterfly blue: packaging a butterfly's iridescent sheen," Science News, 148, 296-297 (1995) Parker, A. R., “Discovery <strong>of</strong> functional iridescence and its coevolution with eyes in the phylogeny <strong>of</strong>Ostracoda (Crustacea),” Proceeding <strong>of</strong> the Royal Society <strong>of</strong> London B, 262, 349-355 (1995) Tada, H., S. E. Mann, I. N. Miaoulis, and P. Y. Wong, “Effects <strong>of</strong> a butterfly scale microstructure on theiridescent color observed at different angles,” Applied Optics, 37, No. 9, 1579-1584 (March 1998), onClassic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color”Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4;http://www.osa.org Brink, D. J., and M. E. Lee, “Thin-film biological reflectors: optical characterization <strong>of</strong> the Chrysiridiacroesus moth,” Applied Optics, 37, No. 19, 4213-4217 (1 July 1998) Parker, A. R., “Colour in Burgess Shale animals and the effect <strong>of</strong> light on evolution in the Cambrian,”Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London B, 265, 967-972 (1998) Parker, A. R., D. R. Mckenzie, and S. T. Ahyong, “A unique form <strong>of</strong> light reflector and the evolution <strong>of</strong>signaling in Ovalipes (Crustacea: Decapoda: Portunidae,” Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London B,265, 861-867 (1998) Parker, A. R., D. R. McKenzie, and M. C. J. Large, “Multilayer reflectors in animals using green and goldbeetles as contrasting examples,” Journal <strong>of</strong> Experimental Biology, 201, 1307-1313 (1998) Parker, A. R., “The diversity and implications <strong>of</strong> animal structural colours,” Journal <strong>of</strong> ExperimentalBiology, 201, 2343-2347 (1998) Miaoulis, I. N., and B. D. Heilman, “Butterfly thin films serve as solar collectors,” Entomological Society<strong>of</strong> America, 91, No. 1, 122-127 (January 1998) Prum, R. O., “Coherent light scattering by blue feather barbs,” Nature, 396, No. 6706, 28-29 (5 November1998)


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Optics 112 Tayeb, G., B. Gralak, and S. Enoch, “Structural colors in nature and butterfly-wing modeling,” Optics &Photonics News, 14, No. 2, 38-43 + 49 (February 2003) McPhedran, R. C., N. A. Nicorovici, D. R. McKenzie, G. W. Rouse, L. C. Botten, V. Welch, A. R. Parker,M. Wohlgennant, and V. Vardeny, “Structural colours through photonic crystals,” Physica B, 338, 182-185(2003) Parker, A. R., and Z. Hegedus, “Diffractive optics in spiders,” Journal <strong>of</strong> Optics A: Pure and AppliedOptics, 5, S111-S116 (2003) Rossbach, V., P. Patanathabutr, and J. Wichitwechkarn, “Copying and manipulating nature: innovation fortextile materials,” Fibers and Polymers, 4, No. 1, 8-14 (2003) Zi, J., X. Yu, Y. Li, X. Hu, C. Xu, X. Wang, X. Liu, and R. Fu, “Coloration strategies in peacockfeathers,” PNAS Proceedings <strong>of</strong> the National Academy <strong>of</strong> Sciences <strong>of</strong> the United States <strong>of</strong> America, 100,No. 22, 12576-12578 (28 October 2003) Prum, R. O., and R. H. Torres, “A Fourier tool for the anlaysis <strong>of</strong> coherent light scattering by bio-opticalnanostructures,” Integrative and Comparative Biology, 43, 591-602 (2003) Gu, Z. Z., H. Uetsuka, K. Takahashi, R. Nakajima, H. Onishi, A. Fugishima, and O. Sato, “Structural colorand the lotus effect,” Angewandte Chemie --- International Edition, 42, No. 8, 894-897 (2003) Gorman, J., “Waterpro<strong>of</strong> coats: materials repel water with simplicity, style,” Science News, 163, No. 9,132 (1 March 2003) Prum, R. O., and R. Torres, “Structural colouration <strong>of</strong> avian skin: convergent evolution <strong>of</strong> coherentlyscattering dermal collagen arrays,” Journal <strong>of</strong> Experimental Biology, 206, No. 14, 2409-2429 (July 2003) Prum, R. O., and R. H. Torres, “A Fourier tool for the anlaysis <strong>of</strong> coherent light scattering by bio-opticalnanostructures,” Integrative and Comparative Biology, 43, 591-602 (2003) Parker, A. R., V. L. Welch, D. Driver, and N. Martini, “Opal analogue discovered in a weevil,” Nature,426, 786-787 (18/25 December 2003) Hardwick, J., “The subtlety <strong>of</strong> rainbows,” <strong>Physics</strong> World, 17, No. 2, 29-33 (February 2004) Brink, D. J., and N. G. van der Berg, “Structural colours from the feathers <strong>of</strong> the bird Bostrychiahagedash,” Journal <strong>of</strong> <strong>Physics</strong> D: Applied <strong>Physics</strong>, 37, 813-818 (2004) Blau, S. K., “Light as a feather: structural elements give peacock plumes their color,” <strong>Physics</strong> Today, 57,No. 1, 18-20 (January 2004) Prum, R. O., and R. H. Torres, “Structural colouration <strong>of</strong> mammalian skin: convergent evolution <strong>of</strong>coherently scattering dermal collagen arrays,” Journal <strong>of</strong> Experimental Biology, 207, 2157-2172 (15 June2004) Vukusic, P., R. J. Wootton, and J. R. Sambles, “Remarkable iridescence in the hindwings <strong>of</strong> the damselflyNeurobais chinensis chinensis (Linnaeus) (Zygoptera: Calopterygidae),” Proceedings <strong>of</strong> the Royal Society<strong>of</strong> London Series B- Biological Sciences, 271, No. 1539, 595-601 (22 March 2004) Stavenga, D. G., S. Stowe, K. Sievke, J. Zeil, and K. Arikawa, “Butterfly wing colours: scale beads makewhite pierid wings brighter,” Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London B., 271, 1577-1584 (2004) Parker, A. R., “A vision for natural photonics,” Philosophical Transactions <strong>of</strong> the Royal Society <strong>of</strong> LondonA, 362, 2709-2720 (2004) Brink, D. J., and N. G. van der Berg, “An investigation <strong>of</strong> green iridescence on the mollusk Patellagranatina,” Journal <strong>of</strong> <strong>Physics</strong> D: Applied <strong>Physics</strong>, 38, 338-343 (2005) Plattner, L., “Optical properties <strong>of</strong> the scales <strong>of</strong> Morpho rhetenor butterflies: theoretical and experimentalinvestigation <strong>of</strong> the back-scattering <strong>of</strong> light in the visible spectrum,” Journal <strong>of</strong> the Royal Society Interface,1, 49-59 (2004) Starkey, A., “The butterfly effect,” New Scientist, 187, No. 2518, 46-47 (24 September 2005) Li, Y., Z. Lu, H. Yin, X. Yu, X. Liu, and J. Zi, “Structural origin <strong>of</strong> the brown color <strong>of</strong> barbules in malepeacock tail feathers,” Physical Review E, 72, article # 010902 (4 pages) (2005)


Optics 113 Wickham, S., M. C. J. Large, L. Poladian, and L. S. Jermiin, “Exaggeration and suppression <strong>of</strong>iridescence: the evolution <strong>of</strong> two-dimensional butterfly structural colours,” Journal <strong>of</strong> the Royal SocietyInterface, 3, 99-109 (2006) Vukusic, P., “Manipulating the flow <strong>of</strong> light with photonic crystals,” <strong>Physics</strong> Today, 59, No. 10, 82-83(October 2006) Prum, R. O., T. Quinn, and R. H. Torres, “Anatomically diverse butterfly scales all produce structuralcolours by coherent scattering,” Journal <strong>of</strong> Experimental Biology, 209, 748-765 (2006) Shawkey, M. D., M. E. Hauber, L. K. Estep, and G. E. Hill, “Evolutionary transitions and mechanisms <strong>of</strong>matte and iridescent plumage coloration in grackles and allies (Icteridae),” Journal <strong>of</strong> the Royal SocietyInterface, 3, 777-786 (2006) Rugani, L. I., “Structural and photonic properties <strong>of</strong> butterfly wings replicated,” Photonics Spectra, 40, No.12, 18 (December 2006) Kemp, D. J., P. Vukusic, and R. L. Rutowski, “Stress-mediated covariance between nano-structuralarchitecture and ultraviolet butterfly coloration,” Functional Ecology, 20, 282-289 (2006) Potyrailo, R. A., H. Ghiradella, A. Vertiatchikh, K. Dovidenko, J. R. Cournoyer, and E. Olson, “Morphobutterfly wing scales demonstrate highly selective vapour response,” Nature Photonics, 1, No. 2, 123-(February 2007) Barry, C., “Mood bugs,” Science News, 172, 99 (18 August 2007) Deparis, O., M. Rassart, C. Vandenbem, V. Welch, J. P. Vigneron, and S. Lucas, “Structurally tunediridescent surfaces inspired by nature,” New Journal <strong>of</strong> <strong>Physics</strong>, 10, article # 013032 (11 pages) (2008) Milius, S., “How they shine,” Science News, 173, No. 18, 26-29 (7 June 2008) Michielsen, K., and D. G. Stavenga, “Gyroid cuticular structures in butterfly wing scales: biologicalphotonic crystals,” Journal <strong>of</strong> the Royal Society Interface, 5, 85-94 (2008) Yoshioka, S., T. Nakano, Y. Nozue, and S. Kinoshita, “Coloration using higher order optical interferencein the wing pattern <strong>of</strong> the Madagascan sunset moth,” Journal <strong>of</strong> the Royal Society Interface, 5, 457-464(2008) Smith, G. S., “Structural color <strong>of</strong> Morpho butterflies,” American Journal <strong>of</strong> <strong>Physics</strong>, 77, No. 11, 1010-1019 (November 2009) Rassart, M., P. Simonis, A. Bay, O. Deparis, and J. P. Vigneron, “Scale coloration change followingwater absorption in the beetle Hoplia coerulea (Coleoptera),” Physical Review E, 80, article # 031910 (6pages) (2009) Zhu, D., S. Kinoshita, D. Cai, and J. B. Cole, “Investigation <strong>of</strong> structural colors in Morpho butterfliesusing the nonstandard-finite-difference time-domain method: Effects <strong>of</strong> alternately stacked shelves and ridgedensity,” Physical Review E, 80, article # 051924 (12 pages) (2009) Lee, R. T., and G. S. Smith, “Detailed electromagnetic simultation for the structural color <strong>of</strong> butterflywings,” Applied Optics, 48, No. 21, 4177-4190 (20 July 2009) Luke, S. M., B. T. Hallam, and P. Vukusic, “Structural optimization for broadband scattering in severalultra-thin white beetle scales,” Applied Optics, 49, No. 22, 4246-4254 (1 August 2010) “A jewel’s true colours,” Nature, 464, 468 (25 March 2010) Hodgkinson, I., S. Lowrey, L. Bourke, A. Parker, and M. W. McCall, “Mueller-matrix characterization <strong>of</strong>beetle cuticle: polarized and unpolarized reflections from representative architectures,” Applied Optics, 49,No. 24, 4558-4567 (20 August 2010) Finlayson, C. E., P. Spahn, D. R. E. Snoswell, G. Yates, A. Kontogeorgos, A. I. Haines, G. P. Hellmann,and J. J. Baumberg, “3D bulk ordering macorscopic solid opaline films by ege-induced rotational shearing,”Advanced Materials, 23, 1540-1544 (2011) Braun, P. V., “Colour without colourants,” Nature, 472, 7344423-424 (28 April 2011)Related references


Optics 114 Koon, D. W., “Comment on ‘Butterfly thin films serve as solar collectors’,” Entomological Society <strong>of</strong>America, 92, No. 4, 459 (July 1999) Brink, D. J., and M. E. Lee, “Confined blue iridescence by a diffracting microstructure: an opticalinvestigation <strong>of</strong> the Cynandra opis butterfly,” Applied Optics, 38, No. 25, 5282-5289 (1 September 1999) Janssen, J. M., A. Monteiro, and P. M. Brakefield, “Correlations between scale structure and pigmentationin butterfly wings,” Evolution & Development, 3, 415-423 (2001) “Thermoregulation and spectral selectrivity <strong>of</strong> the tropical butterfly Prepona meander: a remarkableexample <strong>of</strong> temperature atuo-regulation,” Applied <strong>Physics</strong> A, 80, 1397-1400 (2005) Dresp, B., P. Jouventin, and K. Langley, “Ultraviolet reflecting photonic microstructures in the KingPenguin beak,” Biology Letters, 1, No. 3, 310-313 (29 September 2005) Kishimoto, S., Q. Wang, H. Xie, and Y. Zhao, “Study <strong>of</strong> the surface structure <strong>of</strong> butterfly wings usingthe scanning electron microscopic moiré method,” Applied Optics, 46, No. 28, 7026-7034 (1 October 2007)6.116 PearlsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Addadi, L., and S. Weiner, “A pavement <strong>of</strong> pearl,” Nature, 389, No. 6654, 912-915 (30 October 1997) Liu, Y., J. E. Shigley, and K. N. Hurwit, “Iridescence color <strong>of</strong> a shell <strong>of</strong> the mollusk P. Margartiferacaused by diffraction,” Optics Express, 4, No. 5, 177-182 (1 March 1999) Liu, Y., J. e. Shigley, and K. N. Hurwit, “Iridescence color <strong>of</strong> a shell <strong>of</strong> the mollusk PinctadaMargaritifera caused by diffraction,” Optics Express, 4, No. 5, 177-182 (1 March 1999) Pfaff, G., and P. Reynders, “Angle-dependent optical effects deriving from submicron structures <strong>of</strong> filmsand pigments,” Chemical Reviews, 99, 1963-1981 (1999) Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, second edition, Wiley,2001, page 272 Song, F., X. H. Zhang, and Y. L. Bai, “Microstructure and characteristics in the organic matrix layers <strong>of</strong>nacre,” Journal <strong>of</strong> Materials Research, 17, No. 7, 1567-1570 (July 2002) Brink, D. J., N. G. van der Berg, and A. J. Botha, “Iridescent colors on seashells: an optical and structuralinvestigation <strong>of</strong> Helcion pruinossus,” Applied Optics, 41, No. 4, 717-722 (1 February 2002) Song, F., A. K. Soh, and Y. L. Bai, “Structural and mechanical properties <strong>of</strong> the organic matrix layers <strong>of</strong>nacre,” Biomaterials, 24, 3623-3631 (2003) Blank, S., M. Arnoldi, S. Khoshnavaz, L. Treccani, M. Kuntz, K. Mann, G. Grathwohl, and M. Fritz,“The nacre protein perlucin nucleates growth <strong>of</strong> calcium carbonate crystals,” Journal <strong>of</strong> Microscopy, 212,part 3, 280-291 (December 2003) Berthier, S., E. Charron, and A. Da Silva, “Determination <strong>of</strong> the cuticle index <strong>of</strong> the scales <strong>of</strong> theiridescent butterfly Morpho menelaus,” Optics Communications, 228, 349-356 (2003) Snow, M. R., A. Pring, P. Self, D. Losic, and J. Shapter, “The origin <strong>of</strong> the color <strong>of</strong> pearls in iridescencefrom nano-composite structures <strong>of</strong> the nacre,” American Mineralogist, 89, No. 10, 1353-1358 (2004) Tan, T. L., D. Wong, and P. Lee, “Iridescence <strong>of</strong> a shell <strong>of</strong> mollusk Haliotis Glabra,” Optics Express 12,No. 20, 4847-4854 (4 October 2004)


Optics 115 Cartwright, J. H. E., and A. G. Checa, “The dynamics <strong>of</strong> nacre self-assembly,” Journal <strong>of</strong> the RoyalSociety Interface, 4, 491-504 (2007)Related references Weiner, S., L. Addadi, and H. D. Wagner, “Materials design in biology,” Materials Science andEngineering C, 11, 1-8 (2000) Fan, S., and B. Yilong, “Mineral bridges <strong>of</strong> nacre and its effects,” Acta Mechanica Sinica, 17, No. 3, 251-257 (August 2001)6.117 Protuberances on insect eyes and stealth aircraftThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://chem.sci.gu.edu.au/spm/images/biology/biology.htm Scroll down to “Ommatidia <strong>of</strong> moth’s eye …”and then go back to the top and click on “Biology 2.”http://msc.eldoc.ub.rug.nl/root/PalasantzasG/2006/ProcRSocBStavenga/ Summary <strong>of</strong> research paperhttp://www.funktionale-oberflaechen.de/english/a1_ent_f.html Discussion and illustrations about thereduction <strong>of</strong> reflection on glass surfaceshttp://www.ntt-at.com/products_e/motheye/ Antireflection glassReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Hinton, H. E., "Some structures <strong>of</strong> insects as seen with the scanning electron microscope," Micron, 1, 84-108 (1970) Wilson, S. J., and M. C. Hutley, “The optical properties <strong>of</strong> ‘moth eye’ antireflection surfaces,” OpticalActa, 7, 993-1009 (1982) Stonier, R. A., “Stealth aircraft & technology from World War II to the Gulf. Part II: Applications anddesign,” SAMPE Journal, 27, No. 5, 9-18 (September/October 1991) Meyer-Rochow, V. B., and I. A. N. Stringer, “A system <strong>of</strong> regular ridges instead <strong>of</strong> nipples on a compoundeye that has to operate near the diffraction limit,” Vision Research, 33, No. 18, 2645-2647 (1993) Yoshida, A., M. Motoyama, A. Kosaku, and K. Miyamoto, “Antireflective nanoprotuberance array in thetransparent wing <strong>of</strong> a hawkmoth, Cephonodes hylas,” Zoological Science, 14, No. 5, 737-741 (October1997) Parker, A. R., Z. Hegedus, and R. A. Watts, “Solar-absorber antireflector on the eye <strong>of</strong> an Eocene fly (45Ma),” Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London B. Biological Sciences, 265, No. 1398, 811-815 (7 May1998) Parker, A. R., “Light-reflection strategies,” American Scientist, 87, No. 3, 248-255 (May-June 1999) Hardwick, J., “The subtlety <strong>of</strong> rainbows,” <strong>Physics</strong> World, 17, No. 2, 29-33 (February 2004) Palasantzas G., J. T. M. De Hossen, K. F. L. Michielsen, and D. G. Stavenga, “Optical properties andwettability <strong>of</strong> nanostructured biomaterials: moth eyes, lotus leaves, and insect wings,” Handbook <strong>of</strong>Nanostructured Biomaterials and Their Applications in Nanobiotechnology, edited by H. S. Nalwa, vol. 1,2005, pages 273-301 Stavenga, D. G., S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array<strong>of</strong> butterflies,” Proceedings <strong>of</strong> the Royal Society B, 273, 661-667 (2006)


Optics 116 Lau, T. F. (Stanley), E. M. Gross, and V. B. Meyer-Rochow, “Sexual dimorphism and light/darkadaptation in the compound eye <strong>of</strong> male and female Acentria ephemerella (Lepidoptera: Pyraloidea:Crambidae),” European Journal <strong>of</strong> Entomology, 104, 459-470 (2007)Related reference Thonissen, M., M. G. Berger, W. Theiss, S. Hilbrich, M. Kruger, and H. Luth, “The colourful world <strong>of</strong>porous silicon: from interference filters to applications,” Diffusion and Defect. Part B. Data Solid StatePhenomena, 54, 65-72 (1997)6.118 Iridescent plantsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.critsite.com/index.cfm?fuseaction=plants.plantDetail&plant_id=100076ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Lee, D. W., and J. B. Lowry, "Physical basis and ecological significance <strong>of</strong> iridescence in blue plants,"Nature, 254, 50-51 (1975) Kay, Q. O. N., H. S. Daoud, and C. H. Stirton, "Pigment distribution, light reflection and cell structure inpetals," Botanical Journal <strong>of</strong> the Linnean Society, 83, 57-84 (1981) Bone, R. A., D. W. Lee, and J. M. Norman, "Epidermal cells functioning as lenses in leaves <strong>of</strong> tropicalrain-forest shade plants," Applied Optics, 24, 1408-1412 (1985) "Leaf lenses: a finer focus," Science News, 138, 85 (1990) Lee, D. W., “Ultrastructural basis and function <strong>of</strong> iridescent blue colour <strong>of</strong> fruits in Elaeocarpus,” Nature,349, No. 6306, 260-261 (17 January 1991) Gould, K. S., and D. W. Lee, “Physical and ultrastructural basis <strong>of</strong> blue leaf iridescence in four Malaysianunderstory plants,” American Journal <strong>of</strong> Botany, 83, No. 1, 45-50 (1996) Lee, D. W., “Iridescent blue plants,” American Scientist, 85, No. 1, 56-63 (January-February 1997) Lee, D. W., “The biology <strong>of</strong> rudraksha,” Current Science, 75, No. 1, 26-30 (10 July 1998)Related references Mandoli, D. F., and W. R. Briggs, "Fiber optics in plants," Scientific American, 251, 90-98 + 130 (August1984) Shashar, N., T. W. Cronin, L. B. Wolff, and M. A. Condon, “The polarization <strong>of</strong> light in a tropical rainforest,” Biotropica, 30, No. 2, 275-285 (1998)6.119 Anticounterfeiting: Color-shifting inksThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 117ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Dobrowolski, J. A., K. M. Baird, P. D. Carman, and A. Waldorf, “Optical interference coatings forinhibiting <strong>of</strong> counterfeiting,” Optica Acta, 20, No. 12, 925-937 (1973) Dobrowolski, J. A., F. C. Ho, and A. Waldorf, “Research on thin film anticounterfeiting coatings at theNational Research Council <strong>of</strong> Canada,” Applied Optics, 28, No. 4, 2702-2717 (15 July 1989) Hobbs, J. R., “Banknotes to get optical counterfeit deterrents,” Laser Focus World, 30, No. 4, 32-33 (April1994) Schafrik, R. E., and S. E. Church, “Protecting the greenback,” Scientific American, 273, No. 1, 40-46 (July1995) Zurer, P., “High-tech ink to be added to U.S. bills,” Chemical & Engineering News, 73, No. 41, 7-8 (9October 1995) Lipkin, R., “New greenbacks. How to make a buck---literally,” Science News, 149, 58-59 (27 January1996) Phillips, R. W., and A. F. Bleikolm, “Optical coatings for document security,” Applied Optics, 35, No. 28,5529-5534 (1 October 1996) Murphy, J. C., D. C. Dubbel, and R. C. Benson, “The Securities Technology Institute for counterfeitdeterrence,” Johns Hopkins APL Technical Digest, 18, No. 2, 295-301 (April-June 1997) Pfaff, G., and P. Reynders, “Angle-dependent optical effects deriving from submicron structures <strong>of</strong> filmsand pigments,” Chemical Reviews, 99, 1963-1981 (1999) Burns, D. A., “Detection <strong>of</strong> counterfeit currency and turquoise,” in Practical Spectroscopy, Vol. 27, 2001,pages 783-801 Anderson, L., photo, in “After Image,” Optics & Photonics News, http://www.osa-opn.org6.120 Color saturation in flower petalsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Eckert, M. P., and G. A. Carter, “Flowers produce variations in color saturation by arranging petals atoblique and varying angles,” Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 17A, 825-830 (May 2000)6.121 Yellow brilliance <strong>of</strong> aspen treesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)


Optics 118Book reference style: author, title, publisher, date, pages Hooker, R. B., and J. D. Gaskill, “Reflections on the brilliance <strong>of</strong> aspen trees,” Optics & Photonics, 13,No. 7, 18-20 (July 2002)6.122 Colors <strong>of</strong> eyesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, page 240;second edition, 2001, page 2386.123 So cold I turned blueThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color. The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, pages 239-240; 2 nd edition, 2001, pages 237-238 Kienle, A., L. Lilge, I. A. Vitkin, M. S. Patterson, B. C. Wilson, R. Hibst, and R. Steiner, “Why do veinsappear blue? A new look at an old question,” Applied Optics, 35, No. 7, 1151-1160 (1 March 1996)6.124 Speckle patternsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Dainty, J. C., editor, Laser Speckle and Related Phenomena, Springer-Verlag, 1975; see, especially,"Introduction," pages 1-7 Rigden, J. D., and E. I. Gordon, "The granularity <strong>of</strong> scattered optical maser light," Proceedings <strong>of</strong> theInstitute <strong>of</strong> Radio Engineers, 50, 2367-2368 (1962) Oliver, B. M., "Sparkling spots and random diffraction," Proceedings <strong>of</strong> the IEEE, 51, 220-221 (1963)


Optics 119 Sinclair, D. C., "Demonstration <strong>of</strong> chromatic aberration in the eye using coherent light," Journal <strong>of</strong> theOptical Society <strong>of</strong> America, 55, 575-576 (1965) Sporton, T. M., "The scattering <strong>of</strong> coherent light from a rough surface," British Journal <strong>of</strong> Applied<strong>Physics</strong>, 2, 1027-1034 (1969) Hennessy, R. T., and H. Leibowitz, "Subjective measurement <strong>of</strong> accommodation with laser light," Journal<strong>of</strong> the Optical Society <strong>of</strong> America, 60, 1700-1701 (1970) Hecht, E., "Speckle patterns in unfiltered sunlight," American Journal <strong>of</strong> <strong>Physics</strong>, 40, 207 (1972) Ingelstam, E. and S.-I. Ragnarsson, "Eye refraction examined by aid <strong>of</strong> speckle pattern produced bycoherent light," Vision Research, 12, 411-420 (1972) Mallette, V., "Comment on 'Speckle patterns in unfiltered sunlight'," American Journal <strong>of</strong> <strong>Physics</strong>, 41, 844(1973) Briers, J. D., "Wavelength dependence <strong>of</strong> intensity fluctuations in laser speckle patterns from biologicalspecimens," Optics Communications, 13, 324-326 (1975) Palmer, D. A., "Speckle patterns in incoherent light and ocular refraction," Vision Research, 16, 436(1976) Goodman, J. W., "Some fundamental properties <strong>of</strong> speckle," Journal <strong>of</strong> the Optical Society <strong>of</strong> America,66, 1145-1150 (1976) McKechnie, T. S., “Image-plane speckle in partially coherent illumination,” Optical and QuantumElectronics, 8, 61-67 (1976) May, M., "Information inferred from the observation <strong>of</strong> speckles," Journal <strong>of</strong> <strong>Physics</strong> E: ScientificInstruments, 10, 849-864 (1977) Aggarwal, A. K., and P. C. Gupta, "Scatter light interference using laser speckles," American Journal <strong>of</strong><strong>Physics</strong>, 46, 1193-1194 (1978) Welford, W. T., "Laser speckle and surface roughness," Contemporary <strong>Physics</strong>, 21, 401-412 (1980) Walker, J., "The 'speckle' on a surface lit by laser light can be seen with other kinds <strong>of</strong> illumination" in"The "Amateur Scientist," Scientific American, 246, 162-170 (February 1982) Churnside, J. H., "Speckle from a rotating diffuse object," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 72,1464-1469 (1982) Bahuguna, R. D., and D. Malacara, "Stationarity <strong>of</strong> speckle in laser refraction," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 73, 1213-1215 (1983) Bahuguna, R. D., and D. Malacara, "Speckle motion: the apparent source position for a plane diffuser,"Journal <strong>of</strong> the Optical Society <strong>of</strong> America A, 1, 420-422 (1984) Spetzler, H., "Interesting examples <strong>of</strong> holographic interferometry," <strong>Physics</strong> Teacher, 24, 81-85 (1986) Carlsten, J. L., "Laser Speckle," <strong>Physics</strong> Teacher, 25, 175-176 (1987) Marron, J. C., and K. S. Schroeder, "Speckle from rough rotating objects," Applied Optics, 27, 4279-4287(1988) Briers, J. D., “Speckle fluctuations and biomedical optics: implications and applications,” OpticalEngineering, 32, No. 2, 277-283 (February 1993) Ennos, A. E., “Laser speckle experiments for students,” <strong>Physics</strong> Education, 31, No. 3, 138-142 (1996) Asundi, A., and H. North, “White-light speckle method---current trends,” Optics and Lasers inEngineering, 29, 159-169 (1998) Amalvy, J. I., C. A. Lasquibar, R. Arizaga, H. Rabal, and M. Trivi, “Application <strong>of</strong> dynamic speckleinterferometry to the drying <strong>of</strong> coatings,” Progress in Organic Coatings, 42, 89-99 (2001) Arizaga, R., N. L. Cap, H. Rabal, and M. Trivi, “Display <strong>of</strong> local activity using dynamical specklepatterns,” Optical Engineering, 41, No. 2, 287-294 (February 2002) Braga, R. A., I. M. Dal Fabbro, F. M. Borem, G. Rabelo, R. Arizaga, H. Rabal, and M. Trivi,“Assessment <strong>of</strong> seed viability by laser speckle techniques,” Biosystems Engineering, 86, No. 3, 287-294(2003)


Optics 120 Pajuelo, M., G. Baldwin, H. Rabal, N. Cap, R. Arizaga, and M. Trivi, “Bio-speckle assessment <strong>of</strong>bruising in fruits,” Optics and Lasers in Engineering, 40, 13-24 (2003) Piederriere, Y., J. Cariou, Y. Guern, B. Le Jeune, G. Le Brun, and J. Lotrian, “Scattering through fluids:speckle size measurement and Monte Carlo simulations close to and into the multiple scattering,” OpticsExpress, 12, No. 1, 176-188 (12 January 2004) Vannoni, M., M. Trivi, R. Arizaga, H. Rabal, and G. Molesini, “Dynamic speckle imaging with low-costdevices,” European Journal <strong>of</strong> <strong>Physics</strong>, 29, 967-975 (2008)Related reference Theodossiou, T., E. Georgiou, V. Hovhannisyan, and D. Yova, “Visual observation <strong>of</strong> infrared laserspeckle patterns at half their fundamental wavelength,” Lasers in Medical Science, 16, 34-39 (2001)6.125 Colors in fluorescent lightThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pagesReference Hauver, G. E., "Color effect <strong>of</strong> fluorescent lighting," American Journal <strong>of</strong> <strong>Physics</strong>, 17, 446 (1949) Hammond, J. A., "Stroboscopic effect with fluorescent lighting," American Journal <strong>of</strong> <strong>Physics</strong>, 33, 506(1965) Baker Jr., D. J., "Time dependence <strong>of</strong> flourescent lamp emission -- a simple demonstration," AmericanJournal <strong>of</strong> <strong>Physics</strong>, 34, 627-628 (1966) Ficken Jr., G. W., "Melde experiment viewed with fluorescent lights," American Journal <strong>of</strong> <strong>Physics</strong>, 36, 63(1968) Vatsa, L. P. S., "Prevost-Fetchner-Benham effect," American Journal <strong>of</strong> <strong>Physics</strong>, 40, 914-915 (1972) Hecht, E., "Interference fringes in a flowing liquid film," American Journal <strong>of</strong> <strong>Physics</strong>, 43, 187-189(1975) Eaton, B., "Concerning 'Interference fringes in a flowing liquid film'," American Journal <strong>of</strong> <strong>Physics</strong>, 44,594-595 (1976) Winter, A. T., M. S. Foster, R. N. Godby, and L. Staveley-Smith, "Stroboscopic colours under fluorescentlight," <strong>Physics</strong> Education, 14, 430-431 (1979) Edge, R. B., "Why is the string colored?" <strong>Physics</strong> Teacher, 18, 518 (1980) Walker, J., "The charm <strong>of</strong> hydraulic jumps, starting with those observed in the kitchen sink," in “TheAmateur Scientist,” Scientific American, 244, No. 4, 176-184 + 186 (April 1981), see page 182 Haynes, A., (letter) "Flipping gold," New Scientist, 133, 66 (15 February 1992) Turpin, E., (letter) "Glowing gold," New Scientist, 133, 56 (14 March 1992)6.126 Polarizing sunglassesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 121ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Land, E. H., "Polaroid and the headlight problem," Journal <strong>of</strong> the Franklin Institute, 224, 269-281 (1937) Grabau, M., "Polarized light enters the world <strong>of</strong> everyday life," Journal <strong>of</strong> Applied <strong>Physics</strong>, 9, 215-225(1938) Land, E. H., "Some aspects <strong>of</strong> the development <strong>of</strong> sheet polarizers," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 41, 957-963 (1951) Shurcliff, W. A., and S. S. Ballard, Polarized Light, D. Van Nostrand, 1964, pages 100-102, 111-114 McCutchen, C. W., "Flow visualization with stereo shadowgraphs <strong>of</strong> stratified fluid," Journal <strong>of</strong>Experimental Biology, 65, 11-20 (1976) McCutchen, C. W., "Fluid dynamic phenomena can be demonstrated with stereo shadowgraphs <strong>of</strong>stratified fluid," American Journal <strong>of</strong> <strong>Physics</strong>, 44, 981-983 (1976) Walker, J., "Easy ways to make holograms and view fluid flow, and more about funny fluids" in "TheAmateur Scientist," Scientific American, 242, 158-170 + 172 (February 1980) Konnen, G. P., Polarized Light in Nature, Cambridge University Press, 1985, pages 12-16, 93-96 Konnen, G. P., "Viewing our world with polarizing glasses," Endeavour, 10, 121-124 (1986) Bohren, C. F., What Light through Yonder Window Breaks?, Wiley, 1991, pages 37-48 Sliney, D. H., “Photoprotection <strong>of</strong> the eye---UV radiation and sunglasses,” Journal <strong>of</strong> Photochemistry andPhotobiology B: Biology, 64, 166-175 (2001) Bernath, B., J. Gal, and G. Horvath, “Why is it worth flying at dusk for aquatic insects? Polarotactic waterdetection is easiest at low solar elevations,” Journal <strong>of</strong> Experimental Biology, 207, No. 5, 755-765 (2004) Kriska, G., Z. Csabai, P. Boda, P. Malik, and G. Horvath, “Why do red and dark-coloured cars lure aquaticinsects? The attraction <strong>of</strong> water insects to car paintwork explained by reflection-polarization signals,”Proceedings <strong>of</strong> the Royal Society B, 273, 1667-1671 (2006) Collins, P., “Still dazzled after all these years,” New Scientist, 194, No. 2606, 52-53 (2 June 2007) Malik, P., R. Hegedus, G. Kriska, and G. Horvath, “Imaging polarimetry <strong>of</strong> glass buildings: why dovertical glass surfaces attract polarotactic insects?” Applied Optics, 47, No. 24, 4361-4374 (20 August 2008) Horvath, G., G. Kriska, P. Malik, and B. Robertson, “Polarized light pollution: a new kind <strong>of</strong> ecologicalphotopollution,” Frontiers in Ecology and the Environment, 7, No. 6, 317-325 (August 2009)Related references Meyer-Arendt, J. R., T. M. Alexander, C. M. Landes, and K. Wilder, "Gradient density glasses for nightdriving," Applied Optics, 9, 2176-2177 (1970) Horvath, G., and D. Varju, “Polarization pattern <strong>of</strong> freshwater habitats recorded by video polarimetery inred, green and blue spectral ranges and its relevance for water detection by aquatic insects,” Journal <strong>of</strong>Experimental Biology, 200, 1155-1163 (1997)6.127 Sky polarizationThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.


Optics 122http://www.physorg.com/news91798327.html Vikings use <strong>of</strong> polarized light to navigate when the Sun wasnot visibleReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 251-254 Baez, A. V., "Photoelastic patterns without crossed polarizer and analyzer," American Journal <strong>of</strong> <strong>Physics</strong>,22, No. 1 39 (January 1954) Ferguson, I. F., “Photoelastic patterns without crossed polarizer and analyzer,” American Journal <strong>of</strong><strong>Physics</strong>, 22, No. 7, 495 (October 1954) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State University, College <strong>of</strong> MineralIndustries, Penn., 1957, pages 194-204 Hallden, U., "A simple device for observing the polarization <strong>of</strong> light from the sky," Nature, 182, 333(1958) <strong>Chap</strong>man, J. A., "A device for visualizing the pattern <strong>of</strong> plane polarized light from blue sky," Nature, 181,1393-1394 (1958) Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, pages 193-196 Shurcliff, W. A., and S. S. Ballard, Polarized Light, D. Van Nostrand, 1964, pages 98-99 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, pages 571-575 Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966, pages 12-17 Neumark, O. W., letter, Weather, 21, 303 (1966) Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 62-63 Crawford Jr., F. S., Waves (Berkeley <strong>Physics</strong> Course, vol. 3), McGraw-Hill, 1968, pages 413-414 Fraser, R. S., "Atmospheric neutral points over water," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 58,1029-1031 (1968) Rayleigh, Lord, "The blue sky and the optical properties <strong>of</strong> air" in The Royal Institution Library <strong>of</strong>Science: Physical Sciences, W. L. Bragg and G. Porter, editors, Elsevier, 1970, vol. 8, pages 309-317 Coulson, K. L., "On the solar radiation field in a polluted atmosphere," Journal <strong>of</strong> QuantitativeSpectroscopy and Radiative Transfer, 11, 739-755 (1971) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 152-153 Walker, J., "More about polarizers and how to use them, particularly for studying polarized sky light" in"The Amateur Scientist," Scientific American, 238, 132-136 + 140 (January 1978) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979); see Summary, page 1062 Coulson, K. L., "Characteristics <strong>of</strong> skylight at the zenith during twilight as indicators <strong>of</strong> atmosphericturbidity. 1: Degree <strong>of</strong> polarization," Applied Optics, 19, 3469-3480 (1980) Bohren, C. F., and G. M. Brown, "Cellophane tape, hailstones, frost, and airplane windows" in "SimpleExperiments in Atmospheric <strong>Physics</strong>," Weatherwise, 34, 178-180 (1981) Young, A. T., "Depolarization effects in Rayleigh scattering," Journal <strong>of</strong> the Optical Society <strong>of</strong> America,71, 1142 (1981) Coulson, K. L., "Effects <strong>of</strong> the El Chichon volcanic cloud in the stratosphere on the polarization <strong>of</strong> lightfrom the sky," Applied Optics, 22, 1036-1050 (1983) Bohren, C., "Polarization <strong>of</strong> skylight" in "Simple Experiments in Atmospheric <strong>Physics</strong>," Weatherwise, 37,261-265 (1984); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric<strong>Physics</strong>, John Wiley & Sons, Inc.,; now available from Dover Publications, ISBN 0486417387, 1987,<strong>Chap</strong>ter 19 Konnen, G. P., Polarized Light in Nature, Cambridge University Press, 1985, pages 32-33, 40-45, 144-145


Optics 123 Konnen, G. P., "Viewing our world with polarizing glasses," Endeavour, 10, 121-124 (1986) Minnaert, M., Light and Color in the Open Air, translated and revised by L. Seymour, Spring-Verlag,1993, pages 275-276, ISBN 0-387—97935-2, 3-540-97935-2, 0-387-94413-3 Roslund, C., and C. Beckman, “Disputing Viking navigation by polarized skylight,” Applied Optics, 33,No. 21, 4754-4755 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org Lee Jr., R. L., “Digital imaging <strong>of</strong> clear-sky polarization,” Applied Optics, 37, No. 9, 1465-1476 (March1998), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’s Shoulders: Twenty Years <strong>of</strong> the“Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society <strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org Horvath, G., I. Pomozi, and J. Gal, “Neutral points <strong>of</strong> skylight polarization observed during the totaleclipse on 11 August 1999,” Applied Optics, 42, No. 3, 465-475 (20 January 2003) Berry, M. V., M. R. Dennis, and R. L. Lee Jr., “Polarization singularities in the clear sky,” New Journal<strong>of</strong> <strong>Physics</strong>, 6, article # 162 (14 pages) (20 September 2004) Hannay, J. H., “Polarization <strong>of</strong> sky light from a canopy atmosphere,” New Journal <strong>of</strong> <strong>Physics</strong>, 6, article# 197 (10 pages) (13 December 2004) Dean, S., “Topological mapping <strong>of</strong> the sky,” in “Scatterings,” Optics & Photonics News, 16, 8-9 (January2005) Cronin, T. W., E. J. Warrant, and B. Greiner, “Celestial polarization patterns during twilight,” AppliedOptics, 45, No. 22, 5582-5589 (1 August 2006) Hegedus, R., S. Akesson, R. Wehner, and G. Horvath, “Could Vikings have navigated under foggy andcloudy conditions by skylight polarization? On the atmospheric optical prerequisites <strong>of</strong> polarimetric Vikingnavigation under foggy and cloudy skies,” Proceedings <strong>of</strong> the Royal Society A, 463, 1081-1095 (2007) Hegedus, R., S. Akesson, and G. Horvath, “Anomalous celestial polarization caused by forest fire smoke:shy do some insects become visually disoriented under smoky skies?” Applied Optics, 46, No. 14, 2717-2726 (10 May 2007) Sipocz, B., R. Hegedus, G. Kriska, and G. Horvath, “Spatiotemporal change <strong>of</strong> sky polarization during thetotal solar eclipse on 29 March 2006 in Turkey: polarization patterns <strong>of</strong> the eclipsed sky observed by fullskypolarimetry,” Applied Optics, 47, 34, H1-H10 (1 December 2008) Pust, N. J., and J. A. Shaw, “Digital all-sky polarization imaging <strong>of</strong> partly cloudy skies,” Applied Optics,47, No. 34, H190-H198 (1 December 2008)Related reference Shashar, N., T. W. Cronin, L. B. Wolff, and M. A. Condon, “The polarization <strong>of</strong> light in a tropical rainforest,” Biotropica, 30, No. 2, 275-285 (1998)6.128 Ant navigationThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=w9KDM4C1kVg video about the navigation <strong>of</strong> the desert antwww.theobio.uni-bonn.de/.../index_en.html includes simulationsReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)


Optics 124Book reference style: author, title, publisher, date, pages Muller, M., and R. Wehner, “Path integration in desert ants, Cataglyphis fortis,” Proceedings <strong>of</strong> theNational Academy <strong>of</strong> Sciences USA, 85, 5287-5290 (July 1988) Wehner, R., and S. Wehner, “Insect navigation: use <strong>of</strong> maps or Ariadne’s thread?” Ethology, Ecology &Evolution, 2, 27-48 (1990) Collett, M., T. S. Collett, S. Bisch, and R. Wehner, “Local and global vectors in desert ant navigation,”Nature, 394, 269-272 (16 July 1998) Wehner, R., “Large-scale navigation: the insect case,” Spatial Information Theory. Lecture Notes inComputer Science, No. 1661, 1-20 (1999) ISSN: 0302-9743 Biegler, R., “Possible uses <strong>of</strong> path integration in animal navigation,” Animal Learning & Behavior, 28,No. 3, 257-277 (2000) Collett, M., and T. S. Collett, “How do insects use path integration for their navigation?” BiologicalCybernetics, 83, 245-259 (2000) Collett, T. S., M. Collett, and R. Wehner, “The guidance <strong>of</strong> desert ants by extended landmarks,” Journal <strong>of</strong>Experimental Biology, 204, 1635-1639 (2001) Wohlgemuth, S., B. Ronacher, and R. Wehner, “Ant odometry in the third dimension,” Nature, 411, 795-798 (14 June 2001) Wehner, R., “Polarization vision---a uniform sensory capacity?” Journal <strong>of</strong> Experimental Biology, 204,2589-2596 (2001) Wehner, R., K. Gallizzi, C. Frei, and M. Vesely, “Calibration processes in desert ant navigation: vectorcourses and systematic search,” Journal <strong>of</strong> Comparative Physiology A, 188, 683-693 (2002) Cheng, K., and R. Wehner, “Navigating desert ants (Cataglyphis fortis) learn to alter their search patternson their homebound journey,” Physiological Entomology, 27, 285-290 (2002) Labhart, T., and E. P. Meyer, “Neural mechanisms in insect navigation: polarization compass andodometer,” Current Opinion in Neurobiology, 12, 707-714 (2002) Wohlgemuth, S., B. Ronacher, and R. Wehner, “Distance estimation in the third dimension in desert ants,”Journal <strong>of</strong> Comparative Physiology A, 188, 273-281 (2002) Wehner, R., “Desert ant navigation: how miniature brains solve complex tasks,” Journal <strong>of</strong> ComparativePhysiology A, 189, 579-588 (2003) Bisch-Knaden, S., and R. Wehner, “Local vectors in desert ants: context-dependent landmark learningduring outbound and homebound runs,” Journal <strong>of</strong> Comparative Physiology A, 189, 181-187 (2003) Norgaard, T., J. R. Henschel, and R. Wehner, “Long-distance navigation in the wandering desert spiderLeucorchestris arenicola: can the slope <strong>of</strong> the dune surface provide a compass clue?” Journal <strong>of</strong>Comprehensive Physiology A, 189, 801-809 (2003) Homberg, U., “In search <strong>of</strong> the sky compass in the insect brain,” Naturwissenschaften, 91, 199-208 (2004) Sommer, S., and R. Wehner, “The ant’s estimation <strong>of</strong> distance travelled: experiments with desert ants,Cataglyphis fortis,” Journal <strong>of</strong> Comparative Physiology A, 190, 1-6 (2004) Halliday, D., R. Resnick, and J. Walker, Fundamentals <strong>of</strong> <strong>Physics</strong>, 7e, Wiley, 2005, pages 38, 46-47 Grah, G., R. Wehner, and B. Ronacher, “Path integration in a three-dimensional maze: ground distanceestimation keeps desert ants Cataglyphis fortis on course,” Journal <strong>of</strong> Experimental Biology, 208, 4005-4011 (2005) Wolf, H., and R. Wehner, “Desert ants compensate for navigation uncertainty,” Journal <strong>of</strong> ExperimentalBiology, 208, 4223-4230 (2005) Sommer, S., and R. Wehner, “Vector navigation in desert ants, Cataglyphis fortis: celestial compass cuesare essential for the proper use <strong>of</strong> distance information,” Naturwissenschaften, 92, 468-471 (2005) Thielen-Bescond, M., and G. Beugnon, “Vision-independent odometry in the ant Cataglyphis cursor,”Naturwissenschaften, 92, 193-197 (2005)Knaden, M., and R. Wehner, “Nest mark orientation in desert ants Cataglyphis: what does it do the pathintegrator?” Animal Behaviour, 70, 1349-1354 (2005)


Optics 125 Cheng, K., A. Narendra, and R. Wehner, “Behavioral ecology <strong>of</strong> odometric memories in desert ants:acquisition, retention, and integration,” Behavioral Ecology, 17, 227-235 (2006) Knaden, M., R. Wehner, “Ant navigation: resetting the path integrator,” Journal <strong>of</strong> Experimental Biology,209, 26-31 (2006) Wehner, R., and M. Muller, “The significance <strong>of</strong> direct sunlight and polarized skylight in the ant’s celestialsystem <strong>of</strong> navigation,” Proceedings <strong>of</strong> the National Academy <strong>of</strong> Sciences <strong>of</strong> the United States <strong>of</strong> America,103, No. 33, 12575-12579 (15 August 2006) Ronacher, B., E. Westwig, and R. Wehner, “Integrating two-dimensional paths: do desert ants processdistance information in the absence <strong>of</strong> celestial compass cues? Journal <strong>of</strong> Experimental Biology, 209, 3301-3308 (2006) Muller, M., and R. Wehner, “Wind and sky as compass cues in desert ant navigation,”Naturwissenschaften, 94, 589-594 (2007) “Pedometer helps ants get home,” Journal <strong>of</strong> Experimental Biology, 210, i (2007) Wittlinger, M., R. Wehner, and H. Wolf, “The desert ant odometer: a stride integrator that accounts forstride length and walking speed,” Journal <strong>of</strong> Experimental Biology, 210, 198-207 (2007) Narendra, A., “Homing strategies <strong>of</strong> the Australian desert ant Melophorus bagoti. I. Proportional pathintegrationtakes the ant half-way home,” Journal <strong>of</strong> Experimental Biology, 210, 1798-1803 (2007) Hetz, D., J. Koch, and B. Ronacher, “Desert ants do not rely on sky compass information for theperception <strong>of</strong> inclined path segments,” Journal <strong>of</strong> Exerimental Biology, 212, 1528-1534 (2009)Related references: Graham-Rowe, D., “March <strong>of</strong> the biobots,” New Scientist, 160, No. 2163, 26-30 (5 December 1998) Lambrinos, D., “Navigation in desert ants: the robotic solution,” Robotica, 21, 407-426 (2003) Merkle, T., M. Rost, and W. Alt, “Egocentric path integration models and their application to desertarthropods,” Journal <strong>of</strong> Theoretical Biology, 240, 385-399 (2006) Wehner, R., M. Boyer, F. Loertscher, S. Sommer, and U. Menzi, “Ant navigation: one-way routes ratherthan maps,” Current Biology, 16, 75-79 (10 January 2006)6.129 Colors and spots and polarizationThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://atmospherical.blogspot.com Way cool blog site with lots <strong>of</strong> photos and descriptions. Go through thearchived blogs by clicking on the button at the bottom <strong>of</strong> the page. The blog started in April 2006. Find theentry for April 5, 2007 for polarization colors photographed through an airplane window.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Winans, J. G., "Demonstrations with half-wave plates," American Journal <strong>of</strong> <strong>Physics</strong>, 21, 170-179 (1950) Baez, A. V., "Photoelastic patterns without crossed polarizer and analyzer," American Journal <strong>of</strong> <strong>Physics</strong>,22, 39 (1954) Ferguson, I. F., "Photoelastic patterns without crossed polarizer and analyzer," American Journal <strong>of</strong><strong>Physics</strong>, 22, 495 (1954) Fahy, E. F., and M. A. MacConaill, "Optical properties <strong>of</strong> 'cellophane'," Nature, 178, 1072-1073 (1956)


Optics 126 Wood, E. A., Crystals and Light, Van Nostrand, Momentum Books, 1964, pages 79-93 "Magical stones <strong>of</strong> the sun," Time, 90, 58 (14 July 1967) Cornford, S. G., "An effect <strong>of</strong> polarized sky light," Weather, 23, 25 + 39 (1968) Crawford Jr., F. S., Waves (Berkeley <strong>Physics</strong> Course, vol. 3), McGraw-Hill, 1968, pages 420ff, 448-449 Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, pages 14-16 Gordon, J. E., The New Science <strong>of</strong> Strong Materials, or Why You Don't Fall through the Floor, PrincetonUniversity Press, 1968, page 111 Wilson, R. M., E. J. Gardner, and R. H. Squire, "The absorption <strong>of</strong> light by oriented molecules," Journal <strong>of</strong>Chemical Education, 50, No. 2, 94-98 (February 1973) Cloud, S. D., "Birefringence experiments for the introductory physics course," American Journal <strong>of</strong><strong>Physics</strong>, 41, 1184-1188 (1973) Stong, C. L., "The polariscope as a measuring instrument and as a means <strong>of</strong> creating objects <strong>of</strong> art" in "TheAmateur Scientist," Scientific American, 231, 122-126 (July 1974) Walker, J., "Studying polarized light with quarter-wave and half-wave plates <strong>of</strong> one's own making" in"The Amateur Scientist," Scientific American, 237, 172-180 + 190 (December 1977) Walker, J., "More about polarizers and how to use them, particularly for studying polarized sky light" in"The Amateur Scientist," Scientific American, 238, 132-136 + 140 (January 1978) Walker, J., "The physics <strong>of</strong> the patterns <strong>of</strong> frost on a window, plus an easy-to-read sundial" in "TheAmateur Scientist," Scientific American, 243, 230-238 + 246 (December 1980) Bohren, C. F., and G. M. Brown, "Cellophane tape, hailstones, frost, and airplane windows" in "SimpleExperiments in Atmospheric <strong>Physics</strong>," Weatherwise, 34, 178-180 (1981) Walker, J., "What causes the color in plastic objects stressed between two polarizing filters?" in "TheAmateur Scientist," Scientific American, 248, 146-152 + 154 (June 1983) Konnen, G. P., Polarized Light in Nature, Cambridge University Press, 1985, pages 30, 43, 89-93, 121-124, 140-142 Crane, H. R., "Stretch orientation: a process <strong>of</strong> a hundred uses" in "How Things Work," <strong>Physics</strong> Teacher,23, 304-305 (1985) Davies, G. R., "Polarized optical cheshire cat," <strong>Physics</strong> Teacher, 23, 498 (1985) Blanchard, D., letter, "Window watching," Weatherwise, 40, 237-238 (1987) Bohren, C., "Window watching and polarized light" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 41, 105-110 (1988) Bohren, C., "Fame for window watching: Malus and polarization upon reflection" in "Simple Experimentsin Atmospheric <strong>Physics</strong>," Weatherwise, 41, 175-180 (1988) Bohren, C. F., What Light through Yonder Window Breaks?, Wiley, 1991, pages 25-48 Bohren, C. F., “On the gamut <strong>of</strong> colors seen through birefringent airplane windows,” Applied Optics,30, No. 24, 3474-3478 + Plates 17-19 (August 1991), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org Bohren, C., "On the gamut <strong>of</strong> colors seen through birefringent airplane windows," Applied Optics, 30,3474-3478 (1991) Chagnon, P., “Animated displays IV: linear polarization,” in “Deck the Halls,” edited by Joe Pizzo,<strong>Physics</strong> Teacher, 31, 489-499 (November 1993) Reid, B., "Colored flag by double refraction," <strong>Physics</strong> Teacher, 32, 38-39 (1994) Chagnon, P., “Optics for people stuck in traffic: stress patterns,” <strong>Physics</strong> Teacher, 32, 166-167 (March1994) Roslund, C., and C. Beckman, “Disputing Viking navigation by polarized skylight,” Applied Optics, 33,No. 21, 4754-4755 (July 1994), contained on Classic Reprints on CD-ROM Vol. 1, On Minnaert’sShoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999, Optical Society<strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org


Optics 127 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 238-239 Frankel, F., “Black-light sandwich,” American Scientist, 92, No. 3, 268-269 (May-June 2004) Barta, A., G. Horvath, and V. B. Meyer-Rochow, “Psychophysical study <strong>of</strong> the visual Sun location inpictures <strong>of</strong> clouds and twilight skies inspired by Viking navigation,” Journal <strong>of</strong> the Optical Society <strong>of</strong>America A, 22, No. 6, 1023-1034 (June 2005)Related references Mason, S. F., "Optical Activity and Molecular Dissymmetry," Contemporary <strong>Physics</strong>, 9, 239-256 (1968) Pincock, R. E., and K. R. Wilson, "Spontaneous generation <strong>of</strong> optical activity," Journal <strong>of</strong> ChemicalEducation, 50, 455-457 (1973) Hill, J. W., "An overhead projection demonstration <strong>of</strong> optical activity," Journal <strong>of</strong> Chemical Acitivity, 50,574 (1973) Isard, J. O., S. J. Desai, and K. Mwila, "Birefringence due to laminar inhomogeneities in commercial flatglass," Journal <strong>of</strong> <strong>Physics</strong> D: Applied <strong>Physics</strong>, 11, 433-446 (1978) Hultsch, R. A., "A demonstration <strong>of</strong> optical activity," <strong>Physics</strong> Teacher, 20, 476 (1982) Konnen, G. P., Polarized Light in Nature, Cambridge University Press, 1985, pages 122-124, 157-159 Walker, J., "An inexpensive homemade polarimeter can analyze optically active compounds" in "TheAmateur Scientist," Scientific American, 254, 120-125 (January 1986) Cruz, S., and S. Galindo, "Portable, inexpensive polarimeter," Revista Mexicana de F¡sica, 33, 300-310(1987) Applequist, J., "Optical activity: Biot's bequest," American Scientist, 75, 58-68 (1987) Hambly, G. F., "Optical activity: an improved demonstration," Journal <strong>of</strong> Chemical Education, 65, 623(1988) Koubek, E., and H. Quinn, "Change in optical rotation with wavelength," Journal <strong>of</strong> Chemical Education,66, 853 (1989) Knauer, B., "A demonstration <strong>of</strong> the optical activity <strong>of</strong> a pair <strong>of</strong> enantiomers," Journal <strong>of</strong> ChemicalEducation, 66, 1033-1034 (1989) Davies, G. R., "Polarized light corridor demonstrations," <strong>Physics</strong> Teacher, 28, 464-467 (1990) Becker, R., "Kaleidoscoptical activity," Journal <strong>of</strong> Chemical Education, 70, 74-75 (1993) Iizuka, K., “Cellophane as a half-wave plate and its use for convertaing a laptop computer screen into athree-dimensional display,” Review <strong>of</strong> Scientific Instruments, 74, No. 8, 2636-2639 (August 2003)6.130 Colorless foam and grounded powderThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, pages 20-21;2 nd edition, 2001, pages 28-29 Bohren, C., "Multiple scattering at the beach" in "Simple Experiments in Atmospheric <strong>Physics</strong>,"Weatherwise, 36, 197-200 (1983); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: Simple


Optics 128Experiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 15 Hecht, E., "Why isn't paper transparent, like glass?" <strong>Physics</strong> Teacher, 22, 316-317 (1984) Birth, G. S., "Diffuse reflection," <strong>Physics</strong> Teacher, 24, 138-143 (1986) Bohren, C. F., "Multiple scattering <strong>of</strong> light and some <strong>of</strong> its observable consequences," American Journal<strong>of</strong> <strong>Physics</strong>, 55, 524-533 (1987) Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988)6.131 Glossy black felt, glossy varnishThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, pages 33-35 Harrison, V. G. W., Gloss: Its Definition and Measurement, Chemical Publishing Company, 19496.132 Colors <strong>of</strong> green glass and green velvetThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Fabrikant, B., "Through a glass brightly: there's more to green glass than meets the eye," Quantum, 1, 34-38 (September/October 1990) Lu, R., J. J. Koenderink, and A. M. L. Kappers, “Optical properties (bidirectional reflection distributionfunctions) <strong>of</strong> velvet,” Applied Optics, 37, No. 25, 5974-5984 (1 September 1998)Related reference “Optical properties (bidirectional reflectance distribution function) <strong>of</strong> shot fabric,” Applied Optics, 39,No. 31, 5785-5795 (1 November 1998)6.133 Peachy skin and apparent s<strong>of</strong>tnessThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.References


Optics 129Dots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Lu, R., J. J. Koenderink, and A. M. L. Kappers, “Specularities on surfaces with tangential hairs orgrooves,” Computer Vision and Image Understanding, 78, 320-335 (2000) Koenderink, J., and S. Pont, “The secret <strong>of</strong> velvety skin,” Machine Vision and Applications, 14, 260-268(2003)6.134 Twinkies and Vaseline partiesThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.youtube.com/watch?v=lP406GnB7n4 HaircreamReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Lea, A., and D. Fell, (letters) “Tonic blues,” New Scientist, 165, No. 2224, inside back cover (6 February2000) Kurata, S., H. Hirano, and M. Nagai, “Development <strong>of</strong> fluorescent markers using polycyclic aromatichydrocarbons with Vaseline,” Journal <strong>of</strong> Forensic Science, 47, No. 2, 244-253 (2002) Samanidou, V. F., E. N. Evaggelopoulou, and I. N. Papdoyannis, “Simple and rapid HPLC method for thedetermination <strong>of</strong> quinine in s<strong>of</strong>t drinks using fluorescence detection,” Journal <strong>of</strong> Liquid Chromatography &Related Technologies, 27, 15, 2397-2406 (2004)6.135 The colors <strong>of</strong> meatThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Charley, H., Food Science, 2nd edition, Wiley, 1982, pages 395-400 Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, page 332;second edition, 2001, page 329 Swatland, H. J., “Optical characteristics <strong>of</strong> natural iridescence in meat,” Journal <strong>of</strong> Food Science, 49, 685-686 (1984) Swatland, H. J., “Interference colors <strong>of</strong> beef fasciculi in circularly polarized light,” Journal <strong>of</strong> AnimalScience, 66, No. 2, 379-384 (February 1988) Swatland, H. J., “A review <strong>of</strong> meat spectrophotometry (300 to 800 nm),” Canadian Institute <strong>of</strong> Food andScience Technology, 22, no. 4, 390-402 (1989)


Optics 130 Lawrence, T. E., M. C. Hunt, and D. H. Kropf, “Surface roughening <strong>of</strong> precooked, cured beef roundmuscles reduces iridescence,” Journal <strong>of</strong> Muscle Foods, 13, No. 1, 69-73 (2002) Obuz, E., and D. H. Kropf, “Will blade tenderization decrease iridescence in cooked beef semitendinosusmuscle,” Journal <strong>of</strong> Muscle Foods, 13, No. 1, 75-79 (2002) Kukowski, A. C., D. M. Wulf, B. C. Shanks, J. K. Page, and R. J. Maddock, “Factors associated withsurface iridescence in fresh beef,” Meat Science, 66, 889-893 (2004) King, N. J. (nee Turner), and R. Whyte, “Does it look cooked? A review <strong>of</strong> factors that influence cookedmeat color,” Journal <strong>of</strong> Food Science, 71, No. 4, R31-R40 (2006)6.136 A short beerThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Moloney, M. J., "Cylindrical lenses and short beers," American Journal <strong>of</strong> <strong>Physics</strong>, 43, 741-743 (1975) Prigo, R. B., and A. Korda, "Additions to 'Cylindrical lenses and short beers'," American Journal <strong>of</strong><strong>Physics</strong>, 44, 601 (1976) Haig, G. Y., and L. W. Barr, "Comment on 'Cylindrical lenses and short beers'," American Journal <strong>of</strong><strong>Physics</strong>, 44, 799-800 (1976) Prigo, R. B., R. B. Harding, R. Wormsbecher, and R. P. Brandts, "A not so tall beer," American Journal <strong>of</strong><strong>Physics</strong>, 45, 582-583 (1977) Scheie, P. O., “Refractive index <strong>of</strong> the beer,” American Journal <strong>of</strong> <strong>Physics</strong>, 46, No. 4, 426-427 (April1978) Prigo, R. B., A. Rosales, R. B. Harding, and R. Wormsbecher, "One beer for the price <strong>of</strong> two," AmericanJournal <strong>of</strong> <strong>Physics</strong>, 47, 744-745 (1979) Burke, W. L., "The not-so-short beer," American Journal <strong>of</strong> <strong>Physics</strong>, 48, 783-784 (1980) (Corrects earlierpapers)6.137 "Whiter than white"This item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Allen, E., "Mode <strong>of</strong> action <strong>of</strong> fluorescent whitening agents and measurement <strong>of</strong> their relativeefficiency," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 47, 933-943 (1957) Higginbotham, R. S., and F. W. Thomas, "Fluorescent whitening agents," Nature, 181, 1437-1438 (1958) Adams, D. A. W., "Fluorescent brightening agents," Journal <strong>of</strong> the Society <strong>of</strong> Dyers and Colourists, 75,22-31 (1959)


Optics 131 Morton, T. H., "Optical studies III --- Fluorescent brightening agents on textiles: elementary opticaltheory and its practical implications," Journal <strong>of</strong> the Society <strong>of</strong> Dyers and Colourists, 79, 238-242 (1963) Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, page 307; 2 ndedition, 2001, page 302Related reference Billmeyer Jr., F. W., and L. B. Hepfinger, "Energy transfer between fluorescent organic pigments," ColorResearch and Application, 8, 12-16 (spring 1983)6.138 Disappearing coinThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages de Bruyne, N. A., "The action <strong>of</strong> adhesives," Scientific American, 206, 114-126 (April 1962)6.139 Sunglasses and smogThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Coulson, K. L., "On the solar radiation field in a polluted atmosphere," Journal <strong>of</strong> QuantitativeSpectroscopy and Radiative Transfer, 11, 739-755 (1971) White, W. H., "Estimating the size range <strong>of</strong> smog aerosol particles with a pair <strong>of</strong> sunglasses," AtmosphericEnvironment, 9, 1036-1037 (1975) Walker, J., "More about polarizers and how to use them, particularly for studying polarized sky light" in"The Amateur Scientist," Scientific American, 238, 132-136 + 140 (January 1978) Schechner, Y. Y., S. G. Narasimhan, and S. K. Nayar, “Polarization-based vision through haze,” AppliedOptics, 42, No. 3, 511-525 (20 January 2003)6.140 Brightness <strong>of</strong> the oceanThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.References


Optics 132Dots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Plass, G. N., G. W. Kattawar, and J. A. Guinn Jr., "Radiance distribution over a ruffled sea: contributionsfrom glitter, sky, and ocean," Applied Optics, 15, 3161-3165 (1976)6.141 Blue ribbon on sea horizonThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Rossmann, F. O., "Banded reflections from the sea," Weather, 15, 409-415 (1960)6.142 Darkness falls with a bangThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Griffiths, J. F., "Sunrise, sunset," Weather, 31, 427-429 (1976)Related reference Silverman, S. M., “’It’s always darkest before the dawn’??? The Psychophysics <strong>of</strong> twilight,” OpticalSpectra, 6, 35-38 (April 1972)6.143 Colorful contrailThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticsReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)


Optics 133Book reference style: author, title, publisher, date, pages "An unusual observation <strong>of</strong> iridescence," Weather, 17, 108 (1962) Bohren, C., “A serendipitous iridescent cloud,” in “Simple Experiments in Atmospheric <strong>Physics</strong>,”Weatherwise, 38, 268-274 (October 1985); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 176.144 Nacreous cloudsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.atoptics.co.uk/ Many photos and explanations <strong>of</strong> atmospheric opticshttp://www.britastro.org/iandi/gavin04.htm Photohttp://epod.usra.edu/archive/epodviewer.php3?oid=167296 Photo, nacreous clouds above Antarcticahttp://math.ucr.edu/home/baez/diary/nacreous.jpg Photohttp://www.pixheaven.net/icones_page/0408210068.jpg PhotoReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Stormer, C., "Mother-<strong>of</strong>-pearl clouds," Weather, 3, 13-18 (1948) Williams, G. C., "Nacreous clouds observed in southeastern Alaska January 24, 1950," Bulletin <strong>of</strong> theAmerican Meteorological Society, 31, 322-323 (1950) Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pp. 229-230 Scorer, R. S., "Mother-<strong>of</strong>-pearl clouds," Weather, 19, 115-117 (1964) Scorer, R., and H. Wexler, Cloud Studies in Colour, Pergamon Press, 1967, pp. 20-21, 28-29 Hallett, J., and R. E. J. Lewis, "Mother-<strong>of</strong>-pearl clouds," Weather, 22, 56-65 (1967) Sharpe Jr., J. M., "Nacreous clouds at White Sands Missile Range," Bulletin <strong>of</strong> the AmericanMeteorological Society, 51, 1148-1149 (1970) Scorer, R., Clouds <strong>of</strong> the World, Stackpole Books, Harrisburg, Pennsylvania, 1972, pages 74-75 McIntosh, D. H., "Mother-<strong>of</strong>-pearl cloud over Scotland," Weather, 27, 14-22 (1972) Thyer, N. H., (letter) "Tropical mother-<strong>of</strong>-pearl cloud," Weather, 30, 67 (1975) McIntosh, D. H., "Nacreous clouds," Weather, 31, 184-190 (1976) Bohren, C., “A serendipitous iridescent cloud,” in “Simple Experiments in Atmospheric <strong>Physics</strong>,”Weatherwise, 38, 268-274 (October 1985); contained in C. F. Bohren, Clouds in a Glass <strong>of</strong> Beer: SimpleExperiments in Atmospheric <strong>Physics</strong>, John Wiley & Sons, Inc.; now available from Dover Publications,ISBN 0486417387, 1987, <strong>Chap</strong>ter 176.145 Twilight purple lightThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.References


Optics 134Dots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 270-280 Deacon, E. L., "The second purple light," Nature, 178, 688 (1956) Neuberger, H., Introduction to Physical Meteorology, Pennsylvania State Univ., College <strong>of</strong> MineralIndustries, Penn., 1957, pages 184-192 Humphreys, W. J., <strong>Physics</strong> <strong>of</strong> the Air, Dover, 1964, page 567 Rozenberg, G. V., Twilight: A Study in Atmospheric Optics, Plenum Press, 1966 Dave, J. V., and C. L. Mateer, "The effect <strong>of</strong> stratospheric dust on the color <strong>of</strong> the twilight sky," Journal<strong>of</strong> Geophysical Research, 73, 6897-6913 (1968) Volz, F. E., "Twilights and stratospheric dust before and after the Agung eruption," Applied Optics, 8,2505-2517 (1969) Sonnier, I. L., "Alpine glow: a rare sunset," Journal <strong>of</strong> Geological Education, 26, 118 (1978) C<strong>of</strong>feen, D. L., "Polarization and scattering characteristics in the atmospheres <strong>of</strong> Earth, Venus, andJupiter," Journal <strong>of</strong> the Optical Society <strong>of</strong> America, 69, 1051-1064 (1979) Hall Jr., F. F., "Twilight sky colors: observations and the status <strong>of</strong> modeling," Journal <strong>of</strong> the OpticalSociety <strong>of</strong> America, 69, 1179-1180 + 1197 (1979) Meinel, A., and M. Meinel, Sunsets, Twilights, and Evening Skies, Cambridge Univ. Press, 1983, pages 36,54 Schaaf, F., Wonders <strong>of</strong> the Sky: Observing Rainbows, Comets, Eclipses, the Stars, and Other Phenomena,Dover, 1983, pages 59-62 Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pp. 124-125 Walker, J., "The colors <strong>of</strong> the sky <strong>of</strong>fer lessons in optical scattering" in "The Amateur Scientist," ScientificAmerican, 260, 102-105 (January 1989) Stothers, R. B., “Major optical depth perturbations to the stratosphere from volcanic eruptions:pyrheliometric period, 1881-1960,” Journal <strong>of</strong> Geophysical Research, 101, No. D2, 3901-3920 (20 February1996) Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, pages 32, 41-43 Lee Jr., R. L., and J. Hernandez-Andres, “Measuring and modeling twilight’s purple light,” AppliedOptics, 42, No. 3, 445-457 (20 January 2003)6.146 Ripples in the skyThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Saunders, F. A., "Visible sound waves," Science, 52, 442 (1920) Archenhold, G. H., "A solar halo phenomenon," Nature, 154, 433 (1944) Vand, V., and R. Holdsworth, "A solar halo phenomenon," Nature, 154, 517 (1944)


Optics 135 “Visible acoustic waves passing through clouds,” Bulletin American Meteorological Society, 26, 102(April 1945) Jones, A. T., "Secondary shock waves and an unusual photograph," American Journal <strong>of</strong> <strong>Physics</strong>, 15, 57-59 (1947) Barlow, E. W., "Halo phenomena <strong>of</strong> July 20, 1949," Meteorological Magazine, 78, 282-284 (1949) Gorrie, I. C., (letter) "Meteorological optical phenomena," Weather, 27, 392 (1972) White, R., "Rapidly moving ripples in cirrus," Weather, 30, 205 (1975) White, R., "Rapidly moving ripples in cirrus," Weather, 31, 244 (1976) Burton, B. J., "Fast-moving dark bands crossing the arc <strong>of</strong> contact," Journal <strong>of</strong> Meteorology, 2, 233-236(1976/77) Botley, C. M., "Dark bands crossing clouds," Journal <strong>of</strong> Meteorology, 2, 373 (1976/1977) Blake, M., "Rapidly moving ripples in cirrus," Weather, 32, 276-277 (1977) Scutt, R., and W. C. Livingston, (letters) "Rapidly moving ripples in cirrus cloud," Weather, 33, 38-39(1978) Corliss, W. R., Rare Halos, Mirages, Anomalous Rainbows and Related Electromagnetic Phenomena,Sourcebook Project, 1984 (PO Box 107, Glen Arm, MD 21057), pp. 195-198 Archenhold, G. H., “Moving ripples in solar haloes: are they caused by sound-waves from meteors?”Quarterly Journal <strong>of</strong> the Royal Astronomical Society, 25, No. 2, 122-125 (1984)6.147 Line across distant rainThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Vonnegut, B., and C. B. Moore, "Visual analogue <strong>of</strong> radar bright band phenomenon," Weather, 15, 277-279 (1960) Sassen, K., "Laser depolarisation 'bright band' from melting snowflakes," Nature, 255, 316-318 (1975) Sassen, K., "Polarization diversity lidar returns from virga and precipitation: anomalies and the bright bandanalogy," Journal <strong>of</strong> Applied Meteorology, 15, 292-300 (1976) Sassen, K., "Lidar observations <strong>of</strong> high plains thunderstorm precipitation," Journal <strong>of</strong> the AtmosphericSciences, 34, 1444-1457 (1977) Gray, W. R., “Aspects <strong>of</strong> melting and the radar bright band,” Meteorological Applications, 8, No. 3, 371-379 (September 2001)Related reference Russell, R. W., and J. W. Wilson, “Radar-observed ‘fine lines’ in the optically clear boundary layer:reflectivity contributions from aerial plankton and its predators,” Boundary-Layer Meteorology, 82, 235-262(1997)6.148 Bright nightsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.


Optics 136The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Peterson, A. W., "Airglow events visible to the naked eye," Applied Optics, 18, 3390-3393 (1979)Armstrong, E. B., "The association <strong>of</strong> visible airglow features with a gravity wave," Journal <strong>of</strong> Atmosphericand Terrestrial <strong>Physics</strong>, 44, 325-336 (1982) Herse, M., and P. Rigaud, "Relation between bright nights and meteoritic showers," Canadian Journal <strong>of</strong><strong>Physics</strong>, 63, 1446-1448 (1985)6.149 Zodiacal light, gegenschein, and other nocturnal lightsThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://www.astro.virginia.edu/class/majewski/astr313/lectures/photometry/photometry_reduction.htmlScroll down to the zodiacal light materialReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 290-295 Blackwell, D. E., "The zodiacal light," Scientific American, 203, 54-63 + 198 (July 1960) Roosen, R. G., "A photographic investigation <strong>of</strong> the gegenschein and the Earth-Moon libration point L 5 ,"Icarus, 9, 429-439 (1968); also see photo in errata, Icarus, 10, No. 3, 352 (1969) Roosen, R. G., "The gegenschein and interplanetary dust outside the Earth's orbit," Icarus, 13, No. 2, 184-201 (1970) Roosen, R. G., "An annotated bibliography on the gegenschein," Icarus, 13, 523-539 (1970) Greenberg, J. M., “Models <strong>of</strong> the zodiacal light,” Space Research, 10, 225-232 (1970) Roosen, R. G., "The gegenschein," Reviews <strong>of</strong> Geophysics and Space <strong>Physics</strong>, 9, 275-304 (1971) “The zodiacal light and elusive gegenschein,” in “Celestial Calendary,” Sky & Telescope 60, No. 4, 300-302 (1980) Schur, C., "The zodiacal light in color," Sky & Telescope, 64, 199 (1982) Winkler, C., T. Schmidt-Kaler, and W. Schlosser, “Die symmetrieebene des zodiakallichtes und diestruktur des gegenscheins,” Astronomy and Astrophysics, 143, 194-200 (1985) Maucherat, A., A. Llebaria, and J. C. Gonin, “A general survey <strong>of</strong> the gegenschein in blue light,”Astronomy and Astrophysics, 167, No. 1, 173-178 (1986) Flynn, G. J., “Changes in the zodiacal cloud,” Nature, 376, 114 (13 July 1995) James, J. F., T. Mukai, T. Watanabe, M. Ishiguro, and R. Nakamura, “The morphology and brightness <strong>of</strong>the zodiacal light and gegenschein,” Monthly Notices <strong>of</strong> the Royal Astronomical Society, 288, 1022-1026(1997) Ishiguro, M., R. Nakamura, Y. Fujii, K. Morishige, H. Yano, H. Yasuda, S. Yokogawa, and T. Mukai,“First detection <strong>of</strong> visible zodiacal dust bands from ground-based observations,” Astrophysical Journal, 511,432-435 (20 January 1999)


Optics 137 Lynch, D. K., and W. Livingston, Color and Light in Nature, 2 nd edition, Cambridge University Press,2001, page 220 Mann, I., H. Kimura, D. A. Biesecker, B. T. Tsurutani, E. Grun, R. B. McKibben, J.-C. Liou, R. M.Macqueen, T. Mukai, M. Guhathakurta, and P. Lamy, “Dust near the Sun,” Space Science Reviews, 110,269-305 (2004)6.150 Reflections from sea horizonThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 23-25 Goodell, J. B., "On the appearance <strong>of</strong> the sea reflected sky," Applied Optics, 10, 223-225 (1971)6.151 Using a solid metal ball to focus lightThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.http://micro.magnet.fsu.edu/primer/lightandcolor/images/diffractionfigure2.jpg Diffraction pattern <strong>of</strong> lightpassing a double-edged razor bladeReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Hufford, M. E., "The diffraction ring pattern in the shadow <strong>of</strong> a circular Object," Physical Review,Series 2, 7, 545-550 (1916) Sommerfeld, A., Optics, Academic Press, 1954, page 216 Jenkins, F. A., and H. E. White, Fundamentals <strong>of</strong> Optics, McGraw-Hill, 1957, pages 359-360 Pohl, R. W., Optik und Atomphysik, 12 th edition, Springer, 1967, pages 92-93 Rayleigh, Lord, "Shadows" in The Royal Institution Library <strong>of</strong> Science: Physical Sciences, W. L. Braggand G. Porter, editors, Elsevier, 1970, vol. 5, pages 54-61Meyer-Arendt, J. R., Introduction to Classical and Modern Optics, Prentice-Hall, 1972, page 200 Rinard, P. M., "Large-scale diffraction patterns from circular objects," American Journal <strong>of</strong> <strong>Physics</strong>, 44,70-76 (1976) Johnston, J. B., "Projecting Poisson's spot," <strong>Physics</strong> Teacher, 16, 179 (1978)Hecht, E., and A. Zajac, Optics, Addison-Wesley, 1979, pages 373-375 Harvey, J. E., and J. L. Forgham, "The spot <strong>of</strong> Arago: new relevance for an old phenomenon," AmericanJournal <strong>of</strong> <strong>Physics</strong>, 52, 243-247 (1984) Walker, J., "A ball bearing aids in the study <strong>of</strong> light and also serves as a lens" in "The Amateur Scientist,"Scientific American, 251, 186-193 (November 1984)


Optics 138 English Jr., R. E., and N. George, "Diffraction patterns in the shadows <strong>of</strong> disks and obstacles," AppliedOptics, 27, 1581-1587 (1988) Hovenac, E. A., “Fresnel diffraction by spherical obstacles,” American Journal <strong>of</strong> <strong>Physics</strong>, 57, No. 1,79-84 (January 1989) Sommargren, G. E., and H. J. Weaver, "Diffraction <strong>of</strong> light by an opaque sphere. 1: Description andproperties <strong>of</strong> the diffraction pattern," Applied Optics, 29, 4646-4657 (1990) Sommargren, G. E., and H. J. Weaver, "Diffraction <strong>of</strong> light by an opaque sphere. 2: Image formationand resolution consideration," Applied Optics, 31, 1385-1398 (1992) Harrison, M. E., C. T. Marek, and J. D. White, “Rediscovering Poisson’s spot,” <strong>Physics</strong> Teacher, 35, 18-19 (January 1997) Higbie, J., (letter) “More on Poisson’s spot,” <strong>Physics</strong> Teacher, 35, 197 (April 1997) Wong, R. D., (letter) “Still more on Poisson’s spot,” <strong>Physics</strong> Teacher, 35, 197-198 (April 1997) Wein, G. R., “A video technique for the quantitative analysis <strong>of</strong> the Poisson spot and other diffractionpatterns,” American Journal <strong>of</strong> <strong>Physics</strong>, 67, No. 3, 236-240 (March 1999) Kolodziejczyk, A., Z. Jaroszewicz, R. Henao, and O. Quintero, “An experimental apparatus for whitelight imaging by means <strong>of</strong> a spherical obstacle,” American Journal <strong>of</strong> <strong>Physics</strong>, 70, No. 2, 169-172 (February2002) Gluck, P., “Easy demonstration <strong>of</strong> the Poisson spot,” <strong>Physics</strong> Education, 45, 458-459 (September 2010)6.152 A fast spin in a curved mirrorThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Gardner, M., The Ambidextrous Universe, Basic Books, 1964, pages 4-6 Thomas, D. E., "Mirror images," Scientific American, 243, 206-228 + 246 (December 1980) Derman, S., "An optical puzzle that will make your head spin," <strong>Physics</strong> Teacher, 19, 395 (1981) Holzberlein, T. M., "How to become dizzy with Derman's optical puzzle," <strong>Physics</strong> Teacher, 20, 401-402(1982)6.153 Color <strong>of</strong> cigarette smokeThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Sutton, R. M., Demonstration Experiments in <strong>Physics</strong>, McGraw-Hill, 1938, page 411 Minnaert, M., Light and Colour in the Open Air, Dover, 1954, pages 236-237


Optics 139 Bragg, W., The Universe <strong>of</strong> Light, Dover, 1959, page 147 Green, H. L., W. R. Lane, and H. Hartley, Particulate Clouds: Dusts, Smokes and Mists, 2nd edition, VanNostrand, 1964, page 383 Wood, E., Science for the Airplane Passenger, Houghton Mifflin Co., 1968, page 62Tricker, R. A. R., Introduction to Meteorological Optics, American Elsevier, 1970, page 235 Greenler, R., Rainbows, Halos, and Glories, Cambridge University Press, 1980/1989, page 126 Nassau, K., The <strong>Physics</strong> and Chemistry <strong>of</strong> Color: The Fifteen Causes <strong>of</strong> Color, Wiley, 1983, page 240; 2 ndedition, 2001, page 238 Bohren, C. F., Clouds in a Glass <strong>of</strong> Beer: Simple Experiments in Atmospheric <strong>Physics</strong>, Wiley, 1987, pages93-94; now available from Dover Publications, ISBN 0486417387 Bohren, C. F., "Understanding colors in nature," Pigment Cell Research, 1, 214-222 (1988) Minnaert, M., Light and Color in the Open Air, translated and revised by L. Seymour, Spring-Verlag,1993, pages 260-261, ISBN 0-387—97935-2, 3-540-97935-2, and 0-387-94413-3Related reference Miller, J. S., “Observations on the smoke trail <strong>of</strong> a sky-writer,” American Journal <strong>of</strong> <strong>Physics</strong>, 21, 391(1953)6.154 If you could see in the UVThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Livingston, W., "Landscape as viewed in the 320-nm ultraviolet," Journal <strong>of</strong> the Optical Society <strong>of</strong>America, 73, 1653-1657 + Plate IX (1983), contained on Classic Reprints on CD-ROM Vol. 1, OnMinnaert’s Shoulders: Twenty Years <strong>of</strong> the “Light and Color” Conferences, C. L. Adler, editor, 1999,Optical Society <strong>of</strong> America, ISBN 1-55752-621-4; http://www.osa.org Kimlin, M. G., and A. V. Parisi, “Ultraviolet radiation penetrating vehicle glass: a field based comparativestudy,” <strong>Physics</strong> in Medicine and Biology, 44, 917-926 (1999)6.155 Diffracted alphabetThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Smith, R. C., and J. S. Marsh, "Diffraction patterns <strong>of</strong> simple apertures," Journal <strong>of</strong> the Optical Society<strong>of</strong> America, 64, 798-803 (1974) Winter, A., "Fraunh<strong>of</strong>er alphabet," <strong>Physics</strong> Education, 15, 291 + 349 (1980)


Optics 140 Walker, J., "A ball bearing aids in the study <strong>of</strong> light and also serves as a lens" in "The Amateur Scientist,"Scientific American, 251, 186-194 (November 1984)Related reference DePino Jr., A., “Unusual diffraction patterns,” <strong>Physics</strong> Teacher, 25, 219 (April 1987)6.156 A Game: ReflectionThis item is discussed in the book The <strong>Flying</strong> <strong>Circus</strong> <strong>of</strong> <strong>Physics</strong>, second edition, by Jearl Walker, publishedby John Wiley & Sons, June 2006, ISBN 0-471-76273-3.The material here is located at www.flyingcircus<strong>of</strong>physics.com and will be updated periodically.ReferencesDots through indicate level <strong>of</strong> difficultyJournal reference style: author, journal, volume, pages (date)Book reference style: author, title, publisher, date, pages Brown, F. L., "Multiple reflections from plane mirrors," American Journal <strong>of</strong> <strong>Physics</strong>, 13, 278-280 (1945) Hull, N., "Simple visual aid to understanding plane mirrors at an angle theta," American Journal <strong>of</strong><strong>Physics</strong>, 27, 610-611 (1959) Kulkarni, V. M., "Number <strong>of</strong> images produced by multiple reflection," American Journal <strong>of</strong> <strong>Physics</strong>, 28,317-318 (1960) Liu, C.-H., "Number <strong>of</strong> images produced by multiple reflection," American Journal <strong>of</strong> <strong>Physics</strong>, 30, 380-381 (1962) Samberg, M., "Curious optical theorem," American Journal <strong>of</strong> <strong>Physics</strong>, 35, 882 (1967) Mackay, A. L., "A polyhedral kaleidoscope for demonstrating several point symmetry groups," <strong>Physics</strong>Education, 2, 266-267 (1967) Givens, M. P., "Comment on 'Curious optical theorem'," American Journal <strong>of</strong> <strong>Physics</strong>, 36, 851-853(1968) Streib, J. F., "Curious optical theorem," American Journal <strong>of</strong> <strong>Physics</strong>, 36, 853-854 (1968) Chai, A.-T., "The number <strong>of</strong> images <strong>of</strong> an object between two plane mirrors," American Journal <strong>of</strong><strong>Physics</strong>, 39, 1390-1391 (1971) Carpenter, R. K., "A favorite experiment," <strong>Physics</strong> Teacher, 11, 428-429 (1973) McDermott, L. C., "Double mirror experiments: an extension <strong>of</strong> the physics curriculum," <strong>Physics</strong> Teacher,12, 354-355 (1974) Kennedy, J., and D. Thomas, Kaleidoscope Math, Creative Publications, 1978 (Palo Alto CA 94303) Walter, M., "One mirror, two mirrors, ...," Mathematics Teaching, no. 96, 54-56 (September 1981) Greenslade Jr., T. B., "Multiple images in plane mirrors," <strong>Physics</strong> Teacher, 20, 29-33 (1982) Walter, M., The Mirror Puzzle Book, Parkwest Publications, 1985 (PO Caller Box A-10, Cathedral Station,NY, NY 10025) Ficken Jr., G. W., "Decoration based upon multiple reflections," <strong>Physics</strong> Teacher, 23, 93 (1985) Robertson, J. M., "Geometric constructions using hinged mirrors," The Mathematics Teacher, 24, 380-386 (1986) Covarrubias, H. M., "Successive reflections <strong>of</strong> a light beam on a pair <strong>of</strong> plane mirrors," American Journal<strong>of</strong> <strong>Physics</strong>, 58, 565-567 (1990) Chagnon, P., "Animated displays II: multiple reflections," <strong>Physics</strong> Teacher, 30, 488-494 (1992)Related reference Kalas, R., “The technology <strong>of</strong> reflection: renaissance mirrors <strong>of</strong> steel and glass,” Journal <strong>of</strong> Medieval andEarly Modern Studies, 32, No. 3, 519-542 (Fall 2002)


Optics 141

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