Calculation of Reflectance of a Light Diffuser with Nonuniform Absorption*

Abstract

The total reflection of a light diffuser with nonuniform absorption is considered in the two-beam model. A series solution is obtained for the Kubelka–Munk equations that describe an opaque layer characterized by a constant scattering coefficient and an absorption coefficient with an exponential distribution. Numerical results are graphically shown and applications to photochemical studies are discussed. An analytic solution is given for a special composite diffuser that has a uniform layer of finite thickness on its surface.