This article is cited in 6 papers

Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries

V. S. Potapov

M. V. Lomonosov Moscow State University

Abstract: A method is developed for solving the equations of the theory of radiative transfer that is effective for an optically thick reflecting layer. The essence of the method is to go over in the transfer equation to Laplace transforms and then investigate their analytic properties and eliminate fictitious singularities. Relations are formulated for the boundary values of the intesities; in conjunction with the boundary conditions these form a closed system of linear integral Fredholm equations of the second kind with completely continuous kernels.

Received: 31.03.1993

 English version: Theoretical and Mathematical Physics, 1994, 100:2, 1012–1022

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