Abstract

In 1942 Duntley published a paper giving a theory that describes the reflectance and transmittance of light-diffusing mats. This theory avoids the logical objections that apply to the two-constant theory developed by Kubelka and Munk, and other contributors. This paper describes new ways of determining the five coefficients that appear in Duntley’s theory. It discusses the characteristic features of light-scattering mats that follow this theory, emphasizing the points of difference with the two-constant theory. Results of laboratory measurements are given which demonstrate the utility of Duntley’s theory, and show the dangers of using the two-constant theory as a research tool.

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  1. A. Schuster, Astrophys. J. 21, 1 (1905).
  2. P. Kubelka and F. Munk, Z. Tech. Phys. 12, 593 (1931).
  3. S. Q. Duntley, J. Opt. Soc. Am. 32, 61 (1942).
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  10. J. W. Ryde, Proc. Roy. Soc. (London) 131A, 451 (1931).
  11. J. A. Van den Akker, Tappi 32, 498 (1949).
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  13. Å. S. Stenius, Svensk Papperstid. 56, 607 (1953).
  14. P. Kubelka, J. Opt. Soc. Am. 38, 448 (1948).
  15. K. Shibata, J. Opt. Soc. Am. 47, 172 (1957).
  16. F. Kottler, J. Opt. Soc. Am. 50, 483 (1960).
  17. A. L. Lathrop, Tappi 47, 789 (1964).
  18. L. A. Jones, J. Opt. Soc. Am. and Rev. Sci. Instr. 6, 140 (1922).
  19. J. A. Van den Akker, L. R. Dearth, and W. M. Shillcox, J. Opt. Soc. Am. 46, 378 (1956).
  20. L. R. Dearth (private communication).

Arnold, E. W.

E. W. Arnold, Tappi 46, 250 (1963).

Dearth, L. R.

L. R. Dearth (private communication).

J. A. Van den Akker, L. R. Dearth, and W. M. Shillcox, J. Opt. Soc. Am. 46, 378 (1956).

Duntley, S. Q.

S. Q. Duntley, J. Opt. Soc. Am. 32, 61 (1942).

Foote, W. J.

W. J. Foote, Paper Trade J. 109, No. 25, 31 (1939).

Jones, L. A.

L. A. Jones, J. Opt. Soc. Am. and Rev. Sci. Instr. 6, 140 (1922).

Judd, D. B.

D. B. Judd et al., J. Res. Natl. Bur. Std. 19, 287 (1937).

Kottler, F.

F. Kottler, J. Opt. Soc. Am. 50, 483 (1960).

Kubelka, P.

P. Kubelka, J. Opt. Soc. Am. 38, 448 (1948).

P. Kubelka and F. Munk, Z. Tech. Phys. 12, 593 (1931).

Lathrop, A. L.

A. L. Lathrop, Tappi 47, 789 (1964).

McNicholas, H.

H. McNicholas, J. Res. Natl. Bur. Std. 1, 29 (1928).

Munk, F.

P. Kubelka and F. Munk, Z. Tech. Phys. 12, 593 (1931).

Nordman, L,.

L,. Nordman (private communication).

Ryde, J. W.

J. W. Ryde, Proc. Roy. Soc. (London) 131A, 451 (1931).

Schuster, A.

A. Schuster, Astrophys. J. 21, 1 (1905).

Shibata, K.

K. Shibata, J. Opt. Soc. Am. 47, 172 (1957).

Shillcox, W. M.

J. A. Van den Akker, L. R. Dearth, and W. M. Shillcox, J. Opt. Soc. Am. 46, 378 (1956).

Steele, F. A.

F. A. Steele, Paper Trade J. 100, No. 12, 37 (1935).

Stenius, Å. S.

Å. S. Stenius, Svensk Papperstid. 56, 607 (1953).

Å. S. Stenius, Svensk Papperstid. 54, 663 (1951).

Van den Akker, J. A.

J. A. Van den Akker, L. R. Dearth, and W. M. Shillcox, J. Opt. Soc. Am. 46, 378 (1956).

J. A. Van den Akker, Tappi 32, 498 (1949).

Other (20)

A. Schuster, Astrophys. J. 21, 1 (1905).

P. Kubelka and F. Munk, Z. Tech. Phys. 12, 593 (1931).

S. Q. Duntley, J. Opt. Soc. Am. 32, 61 (1942).

H. McNicholas, J. Res. Natl. Bur. Std. 1, 29 (1928).

D. B. Judd et al., J. Res. Natl. Bur. Std. 19, 287 (1937).

Å. S. Stenius, Svensk Papperstid. 54, 663 (1951).

W. J. Foote, Paper Trade J. 109, No. 25, 31 (1939).

L,. Nordman (private communication).

E. W. Arnold, Tappi 46, 250 (1963).

J. W. Ryde, Proc. Roy. Soc. (London) 131A, 451 (1931).

J. A. Van den Akker, Tappi 32, 498 (1949).

F. A. Steele, Paper Trade J. 100, No. 12, 37 (1935).

Å. S. Stenius, Svensk Papperstid. 56, 607 (1953).

P. Kubelka, J. Opt. Soc. Am. 38, 448 (1948).

K. Shibata, J. Opt. Soc. Am. 47, 172 (1957).

F. Kottler, J. Opt. Soc. Am. 50, 483 (1960).

A. L. Lathrop, Tappi 47, 789 (1964).

L. A. Jones, J. Opt. Soc. Am. and Rev. Sci. Instr. 6, 140 (1922).

J. A. Van den Akker, L. R. Dearth, and W. M. Shillcox, J. Opt. Soc. Am. 46, 378 (1956).

L. R. Dearth (private communication).

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