Rainbows, Halos, and Coronas

  • Marcel Minnaert

Abstract

The following simple observations form an introduction to the study of the rainbow. What we see occurring in a single drop of water is also visible in millions of raindrops and gives rise to a glowing arc of color.

Keywords

Dust Depression Foam Steam Hexagonal 

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References

  1. §139.
    Poppe, Ann. Phys. (Pogg.), 95, 481, 1855. Larmor, Proc. Cambridge Philos. Soc., 7, 131, 1891. Bouasse, Diffraction, 1923, p. 415.CrossRefGoogle Scholar
  2. §140.
    Volz and Meyer, Handb. Geophys., VIII, 943 and 1023. Das Wetter, 30, 117 and 214, 1913; 55, 404, 1938.Google Scholar
  3. §141.
    Minnaert, Physica, 11, 288, 1931. Flammarion, l’Atmosphere, 1888, p. 214. Observation by Brewster.Google Scholar
  4. §142.
    Philos. Mag., 17, 61, 1883. Z. Phys. Chem. Unterricht, 4, 275, 1891.Google Scholar
  5. §144.
    Prins and Reesink, Physica, II, 49, 1944.CrossRefGoogle Scholar
  6. §145.
    Nature, 109, 309, 1922. S. Thompson, Nature, 18, 441, 1878.CrossRefGoogle Scholar
  7. §147.
    Phys. Z., 10, 965, 1909.Google Scholar
  8. §150.
    Philos. Mag., 29, 456, 1890. {E. van Everdingen}, Hemel en Dampkring, 30, 19, 1932. F.E. Volz, Meteorol Rundsch, 13, 117, 1960. C.F. Brooks, Mon. Weather Rev., 53,49,1925. G.C. Simpson, Mon. Weather Rev., 38, 291, 1912. Meteorol Z, 39, 33 and 324, 1922. Hemel en Dampkring, 1, 349, 1903. Philos. Mag., 17, 148, 1883. Lepper, Onweders en Optische Verschijnselen in Nederland, 52, 54, 1931.Google Scholar
  9. §151.
    A.E. Heath, Nature, 97, 6, 1916. W.J. Humphreys, J. Franklin Inst., 207, 661, 1929. Hemel en Dampkring, 6, 145, 1908. Nature, 43, 416, 1891. Clerk Maxwell, Papers, II, 160. Sitzungsber. Akad. Wien, 119, 1057, 1910.CrossRefGoogle Scholar
  10. §152.
    Dijt, Hemel en Dampkring, 29, 14, 1931.Google Scholar
  11. §153.
    Sitzungsber. Akad. Wien., 119, 1057, 1910. {W.J. Humphreys}, J. Franklin Inst., 207, 661, 1929.Google Scholar
  12. §154.
    Onweders en Optische Verschijnselen in Nederland, 21, 54, 1900; 24, 160, 1903; 29, 110, 1908. Hemel en Dampkring, 27, 359, 1929. Meteorol Mag, 71, 230. Handb. Geophys., VIII, 1015.Google Scholar
  13. §156.
    R. Meyer, Die Haloerscheinungeru, Hamburg, 1929. M. Pinkhof, Verh Akad. Amsterdam, 13, 1, 1919. E.W. Woolard, Mon. Weather Rev., 64, 321, 1936; 65, 4, 1937. S.W. Visser, Handb. Geophys., VIII C.A. van den Bosch, Natuurk. Tijdschr. voor Ned.-Indië, 92, 39, 1932.Google Scholar
  14. §157.
    C.A. van den Bosch, Natuurk. Tijdschr. voor Ned.-Indie., 92, 39, 1932. S.W. Visser, VersL Akad. Amsterdam, 25, 1328, 1917; 27, 127, 1918. Hemel en Dampkring, 15, 17, 1917; 16, 35, 1918.Google Scholar
  15. §158.
    L’Astronomie, 68 420, 1954. Visser, Hemel en Dampkring, 44, 12, 1946. Handb. Geophys., VIII, 1044.Google Scholar
  16. §160.
    E. van Everdingen, Hemel en Dampkring, 16, 97, 1918. Onweders en Optische Verschijnselen in Nederland, 39, 66, 1918; 43, 44, 1922. Visser, dissertation, Utrecht, 1936. Hemel en Dampkring, 20,39,1922.Google Scholar
  17. §165.
    Hemel en Dampkring, 20, 39, 1922. Perntner-Exner, Meteorologische Optik, Vienna, Leipzig, 1922, p. 300. Onweders en Optische Verschijnselen in Nederland, 16, 66, 1895. Mon. Weather Rev., 48, 506, 1920.Google Scholar
  18. §167.
    E. van Everdingen, Onweders en Optische Verschijnselen in Nederland, 28, 77, 1907. C. Schoute, Hemel en Dampkring, 7, 1, 1909. K. Stuchtey, Ann. Phys., 59, 33, 1919.Google Scholar
  19. §169.
    C.F. Squire, J. Opt. Soc. Am., 42, 782, 1952.; 43, 318, 1953. R. Schütze, Meteorol. Z., 55, 265, 1935.CrossRefGoogle Scholar
  20. §170.
    E. van Everdingen, Hemel en Dampkring, 31, 1933; 34, 177, 1936. Neuberger, Meteorol. Z., 52, 232, 1935. S.W. Visser, Hemel en Dampkring, 34, 114, 1936; 34, 309, 1936; 40, 307, 1942; 41, 33 and 95,1943; 41, 82, 1943. Optische Verschijnselen, 1943. C.W. Hissink, Hemel en Dampkring, 4, 64, 1906. Hemel en Dampkring, 24, 390, 1926; 30, 207, 1932. Gerlands Beitr. Geophys., 1934. White, Nature, 154, 517, 1944. H. Berg, Meteorol. Z., 52, 227, 1935. Onweders en Optische Verschijnselen in Nederland, 58, 84, 1937. Visser and Alkemade, Hemel en Dampkring, 52, 92, 1954.Google Scholar
  21. §171.
    E. Barkow, Meteorol. Z., 33, 545, 1916. Hemel en Dampkring, 30, 19,1932. Onweders en Optische Verschijnselen in Nederland, 60, 115, 1939. C.W. Hissink, Hemel en Dampkring, 9, 13, 1911.Google Scholar
  22. §172.
    C.A. Neil, Hemel en Dampkring, 7, 41, 1909.Google Scholar
  23. §174.
    M. Pinkhof, Hemel en Dampkring, 38, 32 and 230, 1940. Z. Angew. Meteorol., 57, 95, 1940. Bull. Am. Meteorol Soc., 25, 188, 1944. Nature, 154, 491, 1944. Archenhold, Nature, 154, 433, 1944.Google Scholar
  24. §175.
    Meteorol Z, 27, 113, 1910. Hemel en Dampkring, 38,78 and 79, 1940. M. Minnaert, Hemel en Dampkring, 26, 51, 1928.Google Scholar
  25. §176.
    Listing, Ann. Phys., 122, 161, 1864. Meyer, Das Wetter, 42, 137, 1925.Google Scholar
  26. §177.
    K.B. Blodgett, J. Opt. Soc. Am., 24, 313, 1934.CrossRefGoogle Scholar
  27. §179.
    Schlottmann, Meteorol. Z., 10, 156, 1893. C.F. Brooks, Mon. Weather Rev., 53, 49, 1925. With information form Prof. J.A. Prins and E.W.H. Blokhuis. Wood, Physical Optics.Google Scholar
  28. §180.
    Zocher, Z. Aug. Anorg. Chem., 149, 203, 1925.CrossRefGoogle Scholar
  29. §181.
    Rep. Brit. Assoc., 42, 45, 1872. Nature, 47, 364. Z. Meteorol., 12, 410, 1877. La Nature, 21, 58, 1893. Ricerche Specola Vaticana, 4, 55, 1958.Google Scholar
  30. §182.
    Fizeau, Ann. Chim. Phys., 63, 385, 1861. Rayleigh, Philos. Mag., 14, 350, 1907; Papers, V, 410.Google Scholar
  31. §184.
    R. Meyer, Meteorol. Z., 27, 112, 1910. G.C. Simpson, O. J. Theor. Appl. Meteorol, 38, 291, 1912. C.F. Brooks, Mon. Weather Rev., 53, 49, 1925. Köhler, Meteorol. Z., 40, 257, 1923. Visser, Versl. Akad. Amsterdam, 52, 1943. Penndorf and Stranz, Z. Angew. Meteorol., 60, 233, 1943.Google Scholar
  32. §185.
    Donle, Ann. Phys., 34, 814, 1888. K. Exner, Sitzungsber. Akad. Wien, 76, 522, 1877; 98, 1130, 1889. J.A. Prins, Hemel en Dampkring, 38, 244, 1940. J.J.M. Reesinck and D.A. de Vries, Physica, 7, 603, 1940. Musschenbroek, Introd. ad Philos. nat., II, § 2450, 1762. S.W. Visser, Hemel en Dampkring, 38, 109, 1940.Google Scholar
  33. §186.
    A. Gullstrand, in Helmholtz, Physiologische Optik, 3rd edn., I, 192. Exner, Wiedem. Ann. Phys., 9, 239, 1880. Von Laue, Sitzungsber. Akad. Berlin, 1144, 1914. H.A. Lorentz, Versl. Akad. Amsterdam, 26, 1120, 1918; Collected Papers, 4, 125. Goethe, Farbenlehre, I, nos. 91 and 92. L. Ronchi, Toraldo di Francia, Zoli, et al., in G. Ronchi, Atti Fundazine, 1951–1955.Google Scholar
  34. §187.
    Nature, 37, 440, 1888. O. J. Theor. Appl. Meteorol., 61, 177, 1935. R. Mecke. Ann.Phys., 61, 471, 1920; 62, 623, 1920. Kiessling, Meteorol. Z., 1, 117, 1884. W.H. Köhler, Meteorol Z, 46, 164, 1929.Google Scholar
  35. §188.
    W. Schmidt, Meteorol Z, 33, 199, 1916. W. Much, Meteorol. Z., 43, 295, 1926. Tyndall, Philos. Mag., 17, 244, 1883. Meteorol. Z., 55, 313, 1938. W. Peppler, Z. Angew. Meteorol, 56, 173, 1939.Google Scholar
  36. §189.
    H. van der Linden, Hemel en Dampkring, 1, 3 and 248, 1903. A. Bracke, Nuages irisés, Mons, 1907. C. F. Brooks, Mon. Weather Rev., 53, 49, 1925. Z. Angew. Meteorol., 60, 185, 1943. H. Köhler, Meteorol Z, 46, 161, 1929. Ruskin, Modern Painters, I, part 2.Google Scholar
  37. §190.
    C. Störmer, Geojysiske Publikasjoner, 9, no. 4, 1931; Beitr. Geophys., 32, 63, 1931. Nature, 145, 221, 1940. Mohn, Meteorol., Z., 10, 82, 1893; Vid. Selsk. Forh., 1893, no. 10. Slocum, J. R. Astron. Soc. Can., 28, 145, 1934.Google Scholar
  38. §191.
    Q. J. Theor. Appl. Meteorol., 39, 157, 1913. E. Maey, Meteorol. Z., 39, 229, 1922. Benvenuto Cellini, Autobiography, book I, chap. 128.Google Scholar
  39. §192.
    Nature, 90, 621, 1913. Van Lommel, Ann. Phys., jubilee volume, 10, 1874.Google Scholar

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© Springer-Verlag New York, Inc. 1993

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  • Marcel Minnaert

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