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An approximate solution to the integral radiative transfer equation in an optically thick slab

โœ Scribed by Andrey Amosov; Grigory Panasenko

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
154 KB
Volume
30
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Abstract

We consider the problem of solving the integral form of the radiative transfer equation in an atmosphere with optical thickness ฯ„~0~โ‰ซ1. We propose two methods transforming this problem to a finite set of the independent problems of the same type set in an atmosphere with optical thickness much less then ฯ„~0~. The error estimates are derived. Copyright ยฉ 2007 John Wiley & Sons, Ltd.

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## Communicated by B. Straughan Starting from Helmholtz's equation in inhomogeneous media, the associated radial second-order equation is investigated through a Volterra integral equation. First the integral equation is considered in a sphere. Boundedness, uniqueness and existence of the (regular)