Abstract
Measurements of color are typically made by determining the spectral intensity of light diffusely reflected from images. In xerography color images are heterogeneous systems composed of light absorbing pigments of different colors and sizes suspended in a semitransparent binder. Classical textbook optics predicts the intensity of light specularly reflected from smooth homogeneous surfaces, but cannot provide the detailed information required for these complex optical systems. On October 30, 1992 Robert J. Meyer from Webster Research Center of Xerox has described how statistical optics and effective medium theories predict the intensity of light diffusely reflected from a rough surface of a body containing many small particles; such systems occur within the color image photocopier. He indicated some shortcomings of the dynamic effective medium theory and presented open problems.
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References
A. Friedman, Mathematics in Industrial Problems, Part 2, IMA Volume 24, Springer-Verlag, New York (1989).
A. Friedman, Mathematics in Industrial Problems, Part 5, IMA Volume 49, Springer-Verlag, New York (1992).
M. Born and E. Wolf, Principles of Optics, 6th edition, Pergamon Press, Oxford (1985).
D.M. Wood and N.W. Ashroft, Effective medium theory of optical properties of small particle composites, Phil. Mag., 35 (1977), 269–280.
Yu. E. Lozovik and A.V. Klyuchnik, The dielectric function and collective oscillations in inhomogeneous systems, in “The Dielectric Function of Condensed Systems,” L.V. Keldysh, D.A. Kirzhnita. and A.A. Maraderdin eds., pp. 299–387, North-Holland, Amsterdam (1989).
D.A.G. Bruggeman, Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen, Annalen der Physik, 24 (1935), 636–679.
P. Sheng, Microstructures and physical properties of composites,in “Homogenization and Effective Moduli of Materials and Media,” IMA Volume 1, eds. J.L. Ericksen, D. Kinderlehrer, R. Kohn and J.-L. Lions, Springer-Verlag, New York (1986), pp. 196–227.
R.J. Meyer and C.B. Duke,, submitted to Color Research and Applications.
O. Wiener, Theory of refraction constants, Ber. Sächs. Ges. Wiss. (Math. Phys. Kl.), 62 (1910), 256–277
D. Stroud and F.P. Pan, Self-consistent approach to electromagnetic wave propagation in composite media: Application to model granular metals, Physical Review, 17 (1978), 1602–1610.
P. Chÿlek and V. Srivastava, Dielectric constant of a composite inhomogeneous medium, Physical Review B, 27 (1983), 5098–5106.
J.M. Ziman, Principles of the Theory of Solids, 2nd ed., Cambridge University Press, Cambridge (1972).
C. Kittel, Introduction to Solid State Physics,6th edition, John Wiley, New York (1986).
A.J. Sievers and J.B. Page, A generalized Lyddane-Sachs-Teller relation for solids and liquids, Infrared Physics, 32 (1991), 425–433.
J.M. Zavislan, Ph.D. thesis, University of Rochester, Rochester, N.Y. (1987).
W.L. McMillan, X-ray scattering from liquid crystals. I. Cholesteryl nonaoate and Myristate, Physical Review A, 6 (1972), 936–946.
A. Friedman, Mathematics in Industrial Problems, Part 3, IMA Volume 31, Springer-Verlag, New York (1990).
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Friedman, A. (1994). Statistical optics and effective medium theories of color. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8383-3_4
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DOI: https://doi.org/10.1007/978-1-4613-8383-3_4
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