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

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
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), 213224.CrossRefGoogle Scholar