Stochastic radiative transfer in finite plane for anisotropic scattering: Binary Markovian mixture

Abstract. The time-independent linear transport problem in a stochastic finite-plane medium with
linear anisotropic scattering is considered. The medium is assumed to consist of two randomly
mixed immiscible fluids, with the mixing statistics 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, explicit analytic results for reflectivity and transmissivity, which show
a good agreement with Monte Carlo benchmark results, are given. Results for reflectivity and
transmissivity in the case of linear anisotropic scattering are also given.