Theory of Some of the Discrepancies Observed in Application of the Kubelka-Munk Equations to Particulate Systems

  • J. A. Van den Akker


Beginning with the classic work of Stokes(1), a number of theories have been evolved during the past century to account for the observable optical properties of such light-scattering, light-absorbing media as piles of plates or films, translucent or partially opaque films, coatings, and sheets. Excellent reviews of the principal theories have been given by Judd and Wyszecki(2), Ingle(3), and Kubelka(4). The latter two have demonstrated the equivalence of some of the theories. Additionally, Kubelka(4) has presented a number of very useful equations stemming from the Kubelka-Munk theory(5).


Diffuse Radiation Ideal Medium Effective Absorption Coefficient Unit Solid Angle Hypothetical System 
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Literature Cited

  1. 1.
    G. G. Stokes, Proc. Roy. Soc, London, 11:545 (l860–l862). Google Scholar
  2. 2.
    Deane B. Judd, and Günter Wyszecki, “Color in Business, Science and Industry,” 2d ed., Wiley, New York, (1963), 500 p. Google Scholar
  3. 3.
    G. W. Ingle, ASTM Bull. 116:32 (1942). Google Scholar
  4. 4.
    P. Kubelka, J. Opt. Soc. Am. 38:448 (1948). CrossRefGoogle Scholar
  5. 5.
    P. Kubelka, and F. Munk, Z. tech. Physik. 12:593 (1931). Google Scholar
  6. 6.
    F. A. Steele, Paper Trade J. 100 (12):37 (March 21, 1935). Google Scholar
  7. 7.
    D. B. Judd, J. Res. Natl. Bur. Stds. 19:287 (1937). Google Scholar
  8. 8.
    W. J. Foote, Tech. Assoc. Papers (TAPPI), Series XXII:397 (1939). Google Scholar
  9. 9.
    L. Nordman, P. Aaltonen, and T. Makkonen, In “Transactions of the Symposium on Consolidation of the Paper Web,” p. 909, Tech. Sect. Brit. Paper and Board Makers’ Assoc., London, (1966). Google Scholar
  10. 10.
    S. Q. Duntley, J. Opt. Soc. Am. 32:6l (1942). CrossRefGoogle Scholar
  11. 11.
    A. L. Lathrop, J. Opt. Soc. Am. 56:926 (1966). CrossRefGoogle Scholar
  12. 12.
    L. N. M. Duysens, Biochim. et Biophys. Acta 19:1 (1956). CrossRefGoogle Scholar
  13. 13.
    J. A. Van den Akker, In “Transactions of the Symposium on Consolidation of the Paper Web,” p. 945, Tech. Sect. Brit. Paper and Board Makers’ Assoc., London, (1966). Google Scholar
  14. 14.
    J. A. Van den Akker, Tappi 32:498 (1949). Google Scholar
  15. 15.
    V. N. Gupta, and D. B. Mutton, Pulp Paper Mag. Can. 68:T107 (1967). Google Scholar
  16. 16.
    J. A. Van den Akker, “Theory of the Optical Properties of Pulp,” TAPPI Monograph Series 27:17 (1963). Google Scholar
  17. 17.
    P. F. Brown, Unpublished work, 1966–67. Google Scholar

Copyright information

© Plenum Press 1968

Authors and Affiliations

  • J. A. Van den Akker
    • 1
  1. 1.Department of Physics and MathematicsThe Institute of Paper ChemistryAppletonUSA

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