Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; December 1973; v. 63; no. 6-1; p. 1937-1950
© 1973 Seismological Society of America
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Acoustic wave propagation from a moving point source

A. UNGAR and Z. ALTERMAN

DEPARTMENT OF ENVIRONMENTAL SCIENCES TEL-AVIV UNIVERSITY, RAMAT-AVIV, TEL-AVIV, Israel, 41 6111

Abstract

A method for obtaining a type of progressing waves is introduced. The method is applied to show that


Formula

({alpha} being a constant) is a progressing wave satisfying the wave equation c2{nabla}2{varphi} = {partial}2{varphi}/{partial}t2 in cylindrical coordinates r, {theta} and z, for an arbitrary analytic function F of a complex variable. In terms of this and other similar progressing waves, we consider the problem of wave propagation from a moving point source in two semi-infinite fluid spaces. Both the subsonic and supersonic cases are included. The solutions for a fixed line source and for a stationary point source are obtained as limiting cases.






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