Radiative Transfer Problem in a Two-Region Inhomogeneous Slab with an Anisotropic Scattering

The problem of radiative transfer has been solved for anisotropic scattering in a two-region inhomogeneous slab of equal or unequal thickness. Diffusely and specularly reflecting boundary, interface transmission and diffuse surface source are considered as the boundary conditions. An exact derivation of the integral equations that describe the irradiance and the net radiative fluxes for each medium is obtained. A Galerkin method is used to solve these integral equations for two-regions and so to calculate the reflection and the transmission coefficients. The calculations are carried out, for anisotropic scattering and exponential single-scattering albedo. Numerical results are obtained for the reflection and the transmission coefficients for isotropic, forward and backward linear anisotropic scattering in the inhomogeneous media with diffusely and specularly reflecting boundaries condition. Results obtained for isotropic scattering in inhomogeneous media are compared well with the published calculations.