Milne problem in stochastic plane medium with linear anisotropic scattering

The Milne problem of radiative transfer in planar stochastic medium, with l inear anisotropic scattering is considered. The medium is assumed to be con sisting of two randomly mixed immiscible fluids, with the mixing statistics described as two state homogeneous Markov process. Pomraning-Eddington app roach is used to obtain an explicit form for the radiation energy density i n deterministic case. A formalism, developed to treat radiative transfer in binary statistical mixtures, is used to obtain the ensemble averaged energ y density in stochastic case for the problem under consideration. It is sho wn that the statistical nature of the medium leads to two contradictory dif ferent definitions for the linear extrapolated distance. In the case of iso tropic scattering, numerical results are given with comparisons. Results ar e also given in the case of linear anisotropic scattering at different valu es of anisotropic coefficient. (C) 2000 Elsevier Science Ltd. All rights re served.