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The low frequency scalar diffraction by an elliptic disc

Published online by Cambridge University Press:  24 October 2008

B. D. Sleeman
B. D. Sleeman
Affiliation:
Department of Mathematics, University of Dundee, Dundee
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Summary

The problem of scalar Dirichlet diffraction of a plane wave by an elliptic disc is discussed. A scheme is given whereby the low frequency expansion of the scattered field may be readily obtained. Series expansions are obtained for the far-field amplitude up to and including the second order in the wave number. The first two terms of the scattering cross-section are also derived.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 1273 - 1280
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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