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The transport equation of radiative transfer with isotropic scattering

The solution of the auxiliary equation by a Green's function method

Published online by Cambridge University Press:  24 October 2008

G. E. Hunt
G. E. Hunt
Affiliation:
S.R.C. Atlas Computer Laboratory, Chilton, Didcot, Berks.
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Abstract

The kernel of the integral equation for the source function in a three-dimensional homogeneous atmosphere possesses the properties of a Green's function. These properties are used to transform the integral equation into a singular integral equation for the kernel. The particular case of a homogeneous plane parallel atmosphere is discussed and a solution to the kernel equation is obtained at all points of the atmosphere.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 1 , January 1969 , pp. 199 - 208
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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