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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.21.001942


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Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-10-1942


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References

  1. P. Kubelka, F. Munk, “Ein Beitrag zur Optik der Farbanstriche,” Z. Tech. Phys. (Leipzig) 12, 593–601 (1931).
  2. P. Kubelka, “New contribution to the optics of intensely light-scattering materials. Part I,” J. Opt. Soc. Am. 38, 448–457 (1948). [CrossRef] [PubMed]
  3. J. L. Saunderson, “Calculation of the color pigmented plastics,” J. Opt. Soc. Am. 32, 727–736 (1942). [CrossRef]
  4. P. Kubelka, “New contribution to the optics of intensely light-scattering materials. Part II,” J. Opt. Soc. Am. 44, 330–335 (1954). [CrossRef]
  5. A. Mandelis, J. P. Grossman, “Perturbation theory approach to the generalized Kubelka–Munk problem in nonhomogeneous optical media,” Appl. Spectrosc. 46, 737–745 (1992). [CrossRef]
  6. L. Yang, B. Kruse, “Revised Kubelka–Munk theory. I. Theory and application,” J. Opt. Soc. Am. A 21, 1933–1941 (2004). [CrossRef]
  7. W. Wendlandt, H. Hecht, Reflectance Spectroscopy: Theory II-Diffuse Reflectance (Wiley Interscience, New York, 1966).
  8. S. Rousu, “Differential absorption of offset ink constituents on coated paper,” Ph.D thesis (Laboratory of Paper Chemistry, A°bo Akademi University, Åbo, Finland, 2002).
  9. L. Yang, “Color reproduction of inkjet printing: Model and simulation,” J. Opt. Soc. Am. A 20, 1149–1154 (2003). [CrossRef]
  10. E. Allen, “Calculations for colorant formulations,” in Industrical Color Technology: Advance in Chemistry Series 107 (American Chemical Society, Washington, D.C., 1971), pp. 87–119.
  11. W. Wendlandt, H. Hecht, Reflectance Spectroscopy: Color Measurements (Wiley Interscience, New York, 1966).
  12. D. B. Judd, G. Wyszecki, “Physics and psychophysics of colorant layers,” in Color in Business, Science and Industry, 3rd ed. (Wiley, New York, 1975).
  13. P. Emmel, “Modèles de prédiction couleur appliqués á l’impression jet d’encre,” Thèse No. 1857 (École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1998).
  14. P. Emmel, R. D. Hersch, “Towards a color prediction model for printed patches,” IEEE Comput. Graphics Appl. 19, 54–60 (1999). [CrossRef]
  15. P. Emmel, R. D. Hersch, “A unified model for color prediction of halftoned prints,” J. Imaging Sci. Technol. 44, 351–359 (2000).
  16. L. Yang, “Ink–paper interaction: a study in ink-jet color reproduction,” Ph.D thesis, dissertation No. 806 (Linköping University, Linköping, Sweden, 2003).
  17. O. Norberg, M. Andersson, “Focusing on paper properties in color characterization of printing situations,” in IS&T’s NIP18: International Conference on Digital Printing Technologies (Society for Imaging Science and Technology, Springfield, Va., 2002), pp. 774–776.

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