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The isotropic scattering of radiation from a point source in a finite spheroidal atmosphere

Published online by Cambridge University Press:  24 October 2008

M. G. Smith
M. G. Smith
Affiliation:
Department of Mathematics, Sir John Cass College, Central House, London, E.1
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Abstract

The integral equation for the three-dimensional Fourier transform of the source function, derived in a previous paper, is applied to scattering in a spheroidal atmosphere. This problem is not amenable to solution by any of the general methods that have been successful for problems of finite atmospheres of a more regular shape.

It is shown that if the dimensions of the spheroid are large the solution can he obtained by iteration as an expansion in powers of 1/R0, where R0 is a typical length. The leading term is shown to be that for the infinite atmosphere, which result would be anticipated on intuitive grounds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 225 - 234
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCE

(1)Smith, M. G.The isotropic scattering of radiation from an asymmetric spherical source in a finite atmosphere. Proc. Cambridge Philos. Soc. 68 (1970), 213–224.CrossRefGoogle Scholar