Radiative transfer in absorbing, emitting and linearly anisotropically scattering inhomogeneous solid spheres

Abstract

Radiative transfer in absorbing, emitting, linearly anisotropically scattering, inhomogeneous solid spheres with reflecting boundaries is considered. Thynell and Özişik have reformulated this problem as a set of coupled integral equations and Thynell has solved the homogeneous case using Galerkin's method. A collocation method is proposed by us to solve the coupled integral equations. This procedure may also be used to handle the inhomogeneous case. The results for the homogeneous case with isotropic scattering are compared with exact values by El-Wakil et al. The results for the homogeneous case with anisotropic scattering are compared with those obtained by Thynell. The results for the inhomogeneous case with isotropic scattering are compared with those of El-Wakil et al. © 1990.