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On the short-wave asymptotic solution of a problem in acoustic radiation

Published online by Cambridge University Press:  24 October 2008

F. G. Leppington
F. G. Leppington
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

A study is made of a problem in acoustic radiation, with the object of developing a rigorous theory of short-wave asymptotic solutions of the Helmholtz wave equation. The particular example under consideration is that of the radiation of sound waves by a smooth convex cylinder pulsating with prescribed normal velocity V(s) exp (−iωt), where s denotes arc length of the curve C bounding the cylinder cross-section, and ω is the radian frequency.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1131 - 1150
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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