STOCHASTIC RADIATIVE TRANSFER AND CAUSALITY CONDITION

摘要

We consider the stochastic radiative transfer problem in random media with scattering by using a causality condition. Three classes of models are proposed to describe this problem. In low order models we assume that the solutions of the stochastic transfer equation satisfy the causality condition themselves. Only the solutions of the closure equations satisfy this condition in higher order models. In the highest order models both the stochastic transfer equation and the closure equations (or only the closure equations) have the form of the series satisfying the causality condition. Our results describe nonstationary scattering and apply to any geometry of medium. [References: 19]