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Diffraction by a spherical cap

Published online by Cambridge University Press:  24 October 2008

D. P. Thomas
D. P. Thomas
Affiliation:
Department of Applied Mathematics, University of Liverpool
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Extract

1. It was first observed by Rayleigh(17) in 1897 that low-frequency approximations to the solutions of the steady-state wave equation could be obtained from the solutions of the corresponding static problems. Rayleigh determined only the first term in the expansion of the solution in powers of the product of the wave number and a typical dimension. Many recent investigations have been concerned with deriving a systematic method of calculating the higher-order terms in the above expansion. Most of the problems which have been solved in this manner have been concerned with scattering by a disk or by a strip: the first systematic approach to these problems was that of Bouwkamp ((3), p. 71).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 1 , January 1963 , pp. 197 - 209
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

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