New Contributions to the Optics of Intensely Light-Scattering Materials Part II: Nonhomogeneous Layers*

Abstract

The derived laws apply to layers whose scattering coefficient S and absorption coefficient K vary vertically to the surface of the layer. In the general case the differential equations of the preceding paper [ P. Kubelka, J. Opt. Soc. Am. 38, 448 ( 1948)] must be used; the coefficients, however, hitherto constant, now are functions of the distance x from the surface. In the practically important case in which K/S is constant, one may introduce the variable p, such that p≡∫₀^x(x)dx. One reduces thereby the nonhomogeneous to the previously treated homogeneous case.