Stochastic radiative transfer in a finite plane with anisotropic scattering in a binary Markovian mixture

The time-independent linear transport problem in a stochastic finite-plane medium with linear anisotropic scattering is considered. The medium is assu med to consist of two randomly mixed immiscible fluids, with the mixing sta tistics described as a two-state homogeneous Markov process. The Pomraning- Eddington approach is used to obtain an explicit solution to the problem in the deterministic case. A formalism, developed to treat radiative transfer in statistical mixtures, is used to obtain the ensemble-averaged solution for the problem under consideration. In the case of isotropic scattering, e xplicit analytic results for reflectivity and transmissivity, which show a good agreement with Monte Carlo benchmark results, are given. Results for r eflectivity and transmissivity in the case of linear anisotropic scattering are also given.