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A new technique for exact and unique solution of transfer equations in finite media

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Abstract

In this paper we develop a new method, combined with Laplace transformation and Wiener-Hopf technique, to obtain unique solutions of transport equations in finite media. For this purpose we consider the simple transfer equation for diffuse reflection by a plane-parallel finite atmosphere scattering radiation with moderate anisotropy. It is transformed, by Laplace transformation, into two coupled linear integral equations which are then reduced to two uncoupled Fredholm integral equations admitting of unique solutions by the method of iteration for values of the breadth of the atmosphere greater than that specified, depending on the scattering process.

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  1. Dept of Mathematics, University of North Bengal, Darjeeling, West Bengal, India

    S. R. Das Gupta

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  1. S. R. Das Gupta
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Das Gupta, S.R. A new technique for exact and unique solution of transfer equations in finite media. Astrophys Space Sci 56, 21–49 (1978). https://doi.org/10.1007/BF00643460

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