## Abstract

The fundamental assumptions made in the revised Kubelka–Munk (KM) model of light propagation in scattering and absorptive media, recently proposed [J. Opt. Soc. Am. A **21**, 1942 (2004); **22**, 866 (2005)
], are critically reviewed and analyzed. The authors argue that the model, now questioned by Edström [J. Opt. Soc. Am. A **24**, 548 (2007)
] is well founded on physical grounds and consistent with the original KM model, which has been the cornerstone of light propagation studies and utilized for more than half a century.

© 2007 Optical Society of America

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### Equations (9)

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(1)
$$\mathrm{d}I=-(K+S)I\mathrm{d}z+SJ\mathrm{d}z,$$
(2)
$$\mathrm{d}J=(K+S)J\mathrm{d}z-SI\mathrm{d}z.$$
(3)
$$K=2a,\phantom{\rule{1em}{0ex}}\phantom{\rule{1em}{0ex}}S=s.$$
(4)
$$K=\alpha \mu a,\phantom{\rule{1em}{0ex}}\phantom{\rule{1em}{0ex}}S=\alpha \mu s\u22152.$$
(6)
$$D=\frac{1}{A}\frac{1-2A{w}_{p}\mathrm{exp}(-A{w}_{p})-\mathrm{exp}(-2A{w}_{p})}{1-2\mathrm{exp}(-A{w}_{p})+\mathrm{exp}(-2A{w}_{p})},$$
(7)
$$A={({K}^{2}+2KS)}^{1\u22152},$$
(8)
$$\mu =\Delta l\u2215\Delta r.$$
(9)
$$\mu =\underset{\Delta z\to 0}{\mathrm{lim}}\phantom{\rule{0.2em}{0ex}}\mu =\mathrm{d}l\u2215\mathrm{d}r,$$