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Generation of an axisymmetrical acoustic pulse by a deformable sphere

Published online by Cambridge University Press:  24 October 2008

G. E. Tupholme
G. E. Tupholme
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich
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Abstract

In this paper we consider sound pulses generated in the fluid outside an impermeable sphere by axisymmetrical time-dependent deformations of the sphere. Following an account of some analytic techniques applicable to this class of problems, a detailed study is made of the case in which the movement of the spherical boundary is confined to a cap of angle α (0 < α < π). In this case a rather complicated pattern of wavefronts develops consisting of a direct (spherical) wavefront, diffracted wave-fronts and a toroidal wavefront having as its centre circle the edge of the cap. Approximations to the velocity potential near the various wavefronts are obtained and some numerical results are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 1285 - 1308
Copyright
Copyright © Cambridge Philosophical Society 1967

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