Regular and Diffuse Reflection

  • Gustav Kortüm

Abstract

If a parallel beam of light is allowed to fall on the smooth surface of a solid material, two limiting cases arise for the reflected portion of the radiation: it is either reflected “specularly” (that is, as from a mirror), or it is reflected in all directions of the hemisphere uniformly. In the first case, the surface is an ideal reflecting (polished) surface, while in the second it is an ideal matte (scattering) surface. These two ideal limiting cases for a surface are never attained in practice. Even on the best mirrors, such as a mercury surface the place where a beam of light impinges (even outside the incident plane) can be seen. It is desirable, however, to consider the behaviour of such ideal surfaces in a theoretical manner, and then to proceed to the behaviour of real surfaces.

Keywords

Selenium Rutile Refraction Compressibility Azimuth 

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References

  1. 7.
    Walsh, J. W. T.: Dept. Sci. Ind. Res. Ilium. Res. Techn. Pap. 2, 10 (1926);Google Scholar
  2. 7a.
    compare Judd, D. B.: J. Res. Natl. Bur. Std. 29, 329 (1942).Google Scholar
  3. 8.
    See Ryde, J. W., and B. S. Cooper: Proc. Roy. Soc. London A 131, 464 (1931).CrossRefGoogle Scholar
  4. 9.
    See Judd, D. B.: J. Res. Natl. Bur. Std. 29, 329 (1942).Google Scholar
  5. 10.
    Giovanelli, R. G.: Opt. Acta 3, 127 (1956).CrossRefGoogle Scholar
  6. 13.
    Goos, F., and H. Hähnchen: Ann. Physik 1, 333 (1947);CrossRefGoogle Scholar
  7. 13.
    Goos, F., and H. Hähnchen: Ann. Physik 5, 251 (1949).CrossRefGoogle Scholar
  8. 13a.
    See also Fragstein, C. v.: Ann. Physik 4, 271 (1949);CrossRefGoogle Scholar
  9. 13b.
    Renard, R. H.: J. Opt. Soc. Am. 54, 1190 (1964).CrossRefGoogle Scholar
  10. 15.
    See Textbooks of Optics. In general the optical constants n 1 and ϰ 1 may be determined by two measurements, such as those of Rreg at two different angles of incidence, or of R and JR at a particular angle of incidence. A review of the methods is given, for example, by Wendtlandt, M. M., and H. G. Hecht: In: Reflectance Spectroscopy. Chap. II; New York: John Wiley & Sons 1966.Google Scholar
  11. 15a.
    Nassenstein, H.: Ber. Bunsenges. 71, 303 (1967).Google Scholar
  12. 16.
    Lambert, J. H.: Photometria Augsburg 1760; German edition by Anding Leipzig 1892.Google Scholar
  13. 17.
    Witte, W.: in press.Google Scholar
  14. 18.
    v. Seeliger, R.: Münch. Akad. IL Kl. Sitzungsber. 18, 201 (1888).Google Scholar
  15. 19.
    Lommel, E.: Münch. Akad. II. Kl. Sitzungsber. 17, 95 (1887).Google Scholar
  16. 20.
    Bouguer, P.: Traité d’optique sur la gradation de la lumière. Paris 1760.Google Scholar
  17. 21.
    Zöllner, J. C. F.: Photometrische Untersuchungen (Photometric investigations). Leipzig 1865.Google Scholar
  18. 21a.
    His assumption went back to a consideration originating with Fourier, J. B. [Ann. Chim. Phys. 4, 128 (1817)].Google Scholar
  19. 22.
    Pokrowski, G. I.: Z. Physik 30, 66 (1924);CrossRefGoogle Scholar
  20. 22a.
    Pokrowski, G. I.: Z. Physik 35, 35 (1926);Google Scholar
  21. 22b.
    Pokrowski, G. I.: Z. Physik 36, 472 (1926).CrossRefGoogle Scholar
  22. 23.
    Schulz, H.: Z. Physik 31, 496 (1925);CrossRefGoogle Scholar
  23. 23a.
    Schulz, H.: Z. Techn. Physik 5, 135 (1924);Google Scholar
  24. 23b.
    see also Middleton, W.E., and A. G. Mungall: J. Opt. Soc. Am. 42, 572 (1952).CrossRefGoogle Scholar
  25. 24.
    Barkas, W. W.: Proc. Phys. Soc. London 51, 274 (1939).CrossRefGoogle Scholar
  26. 25.
    Grabowski, L.: Astrophys. J. 39, 299 (1914).CrossRefGoogle Scholar
  27. 26.
    Berry, E. M.: J. Opt. Soc. Am 7, 627 (1923).CrossRefGoogle Scholar
  28. 27.
    Reuse, W. A.: J. Opt. Soc. Am. 40, 55 (1950).CrossRefGoogle Scholar
  29. 28.
    Compare the comprehensive summary of Schoenberg, E.: Handb. der Astrophysik, Vol. II, T. 1. Berlin: Springer-Verlag 1929;Google Scholar
  30. 28a.
    Yalta, W.: Photometri-sche Untersuchungen an photographischen Papieren verschiedener Oberfläche. Jenaer Jahrbuch 1954, 91.Google Scholar
  31. 29.
    Bouguer, P.: Traité d’optique sur la gradation de la lumière. Paris 1760.Google Scholar
  32. 30.
    Ångström, K.: Wied. Ann. 26, 253 (1885).Google Scholar
  33. 31.
    Wright, H.: Ann. Physik 1, 17 (1900).CrossRefGoogle Scholar
  34. 32.
    Woronkoff, G. P., and G.J. Pokrowski:Z. Physik 20, 358 (1924);CrossRefGoogle Scholar
  35. 32a.
    compare also Henning, F., and W. Heuse: Z. Physik 10, 111 (1922);CrossRefGoogle Scholar
  36. 32b.
    Schulz, H.: Z. Physik 31, 496 (1925).CrossRefGoogle Scholar
  37. 33.
    Thaler, F.: Ann. Physik 11 (4), 996 (1903).CrossRefGoogle Scholar
  38. 34.
    Budde, W.: J. Opt. Soc. Am. 50, 217 (1960).CrossRefGoogle Scholar
  39. 35.
    Höfert, H. J., and H. Loof: Die Farbe 13, 53 (1964).Google Scholar
  40. 36.
    Agnew, J. T., and R. B. McQuistan: J. Opt. Soc. Am. 43, 999 (1953).CrossRefGoogle Scholar
  41. 37.
    Barkas, W. W.: Proc. Phys. Soc. 51, 274 (1939).CrossRefGoogle Scholar
  42. 38.
    S. son Stenius, Å.: Svens. Papperstidning 54, 663 (1951).Google Scholar
  43. 39.
    Barkas, W. W.: Proc. Phys. Soc 51, 274 (1939).CrossRefGoogle Scholar
  44. 40.
    Woronkoff, G. P., and G. L Pokrowski: Z. Physik 30, 139 (1924).CrossRefGoogle Scholar
  45. 41.
    Umov, N.: Physik Z. 6, 674 (1905);Google Scholar
  46. 41a.
    Umov, N.: Physik Z. 13, 962 (1912);Google Scholar
  47. 41b.
    Návrat, V.: Wiener Ber. II a, 120, 1229(1911);Google Scholar
  48. 41c.
    Pokrorowski, G.I.: Z. Physik 32, 563(1925);CrossRefGoogle Scholar
  49. 41d.
    Woronkoff, G. P., and G. I. Pokrowski: Z. Physik 30, 139 (1924);CrossRefGoogle Scholar
  50. 41e.
    Woronkoff, G. P., and G. I. Pokrowski: Z. Physik 33, 860 (1925);CrossRefGoogle Scholar
  51. 41f.
    Gorodinskii, G. M.: Opt. Spectr. 16, 59 (1964).Google Scholar
  52. 42.
    Kortüm, G., and R. Hamm: Ber. Bunsenges. 72, 1182 (1968);Google Scholar
  53. 42a.
    see further: Torrance, K. E., E. M. Sparrow, and R. C. Birkebak: J. Opt. Soc. Am. 56, 916 (1966);CrossRefGoogle Scholar
  54. 42b.
    Torrance, K. E., and E. M. Sparrow: J. Opt. Soc. Am. 57, 1105 (1967).CrossRefGoogle Scholar
  55. 44.
    In this connection, compare also the p. 38 cited work of Kortüm and Hamm and the dissertation of R. Hamm, Tübingen 1968.Google Scholar
  56. 46.
    Compare discussion meeting: Physik. Grundlagen der anwendungstechn. Eigenschaften von Pigmenten. Ber. Bunsenges. 71, 239 (1967).Google Scholar
  57. 48.
    Kerne, W.: J. Opt. Soc. Am. 40, 55 (1950).CrossRefGoogle Scholar
  58. 50.
    Woronkoff, G. P., and G. I. Pokrowski: Z. Physik 20, 358 (1924).CrossRefGoogle Scholar
  59. 51.
    Kortüm, G., and R. Hamm: Ber. Bimsenges. 72, 1182 (1968).Google Scholar
  60. 52.
    Woronkoff, G. P., and G. I. Pokrowski: Z. Physik 30, 139 (1925).CrossRefGoogle Scholar
  61. 53.
    Woronkoff, G. P., and G. I. Pokrowski: Z. Physik 33, 860 (1925);CrossRefGoogle Scholar
  62. 53a.
    Umow, N. A.: Physik Z. 6, 674 (1905);Google Scholar
  63. 53b.
    Umow, N. A.: Physik Z. 13, 962 (1912).Google Scholar
  64. 54.
    This is usually the case when the layer thickness is a few millimeters or more.Google Scholar
  65. 55.
    Duyckaerts, G.: Spectrochim. Acta 7, 25 (1955).Google Scholar
  66. 56.
    Otvos, J. W., H. Stone, and W. R. Harp: Spectrochim. Acta 9, 148 (1957).CrossRefGoogle Scholar
  67. 57.
    Gledhill, R. J., and D. B. Julian: J. Opt Soc. Am. 53, 239 (1963).CrossRefGoogle Scholar
  68. 58.
    Felder, B.: Helv. Chim. Acta 47, 488 (1964).CrossRefGoogle Scholar
  69. 60.
    Kortüm, G., and P. Haug: Z. Naturforsch. 8a, 372 (1953).Google Scholar
  70. 60a.
    The regular reflection loss at the boundary surface in the transmission measurement was eliminated by obtaining results with two different layer thicknesses [see Schachtschabel, K.: Ann. Physik 81, 929 (1926)].CrossRefGoogle Scholar
  71. 61.
    Kortüm, G., and H. Schöttier: Z. Elektrochem. 57, 353 (1953).Google Scholar
  72. 63.
    Kortüm, G., and J. Vogel: Z. physik. Chem.N. F. 18, 110(1958).CrossRefGoogle Scholar
  73. 64.
    A preparation with (math), was used [see Holzmann, G.: Science 11, 550 (1950)].CrossRefGoogle Scholar
  74. 65.
    Kortüm, G., and P. Hang: Z. Naturforsch. 8a, 372 (1953).Google Scholar
  75. 66.
    Kortüm, G., and J. Vogel: Z. physik. Chem. N. F. 18, 230 (1958).CrossRefGoogle Scholar
  76. 67.
    Kortüm, G., and J. Vogel: Z. physik. Chem. N.F. 18, 230 (1958).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin-Heidelberg 1969

Authors and Affiliations

  • Gustav Kortüm
    • 1
  1. 1.Institut für Physikalische Chemie der Universität74 TübingenDeutschland

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