This article is cited in 2 papers

The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries

V. S. Potapov

M. V. Lomonosov Moscow State University

Abstract: The asymptotic analysis of the system of equations derived in previous paper is given. This system is equivalent to initial radiation transfer equation but convenient for effective solution in the case of the optically thick layer with general linear boundary conditions of reflection and transition. The obtained asymptotic expressions let us find the explicit form of reflection and transition laws for diffusive radiation in each given situation. The space distribution of radiation intensiveness inside and near the boundaries of the optically thick layer is investigated too.

Received: 31.03.1993

 English version: Theoretical and Mathematical Physics, 1994, 100:3, 1117–1131

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