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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 10 — Oct. 1, 2004
  • pp: 1942–1952

Revised Kubelka–Munk theory. II. Unified framework for homogeneous and inhomogeneous optical media

Li Yang, Björn Kruse, and Stanley J. Miklavcic  »View Author Affiliations

JOSA A, Vol. 21, Issue 10, pp. 1942-1952 (2004)

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We extend the applicability of the recently revised Kubelka–Munk (K–M) theory to inhomogeneous optical media by treating inhomogeneous ink penetration of the substrate. We propose a method for describing light propagation in either homogeneous or inhomogeneous layers using series representations for the K–M scattering and absorption coefficients as well as for intensities of the upward and downward light streams. The conventional and matrix expressions for spectral reflectance and transmittance values of optically homogeneous media in the K–M theory are shown to be special cases of the present framework. Three types of ink distribution—homogeneous, linear, and exponential—have been studied. Simulations of spectral reflectance predict a depression of reflectance peaks and reduction of absorption bands characteristic of hue shifts and significant reduction of saturation and, in turn, color gamut.

© 2004 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.7000) Instrumentation, measurement, and metrology : Transmission
(290.7050) Scattering : Turbid media

Original Manuscript: January 15, 2004
Revised Manuscript: April 14, 2004
Manuscript Accepted: April 14, 2004
Published: October 1, 2004

Li Yang, Björn Kruse, and Stanley J. Miklavcic, "Revised Kubelka–Munk theory. II. Unified framework for homogeneous and inhomogeneous optical media," J. Opt. Soc. Am. A 21, 1942-1952 (2004)

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