Numerical Approach to Far Field Acoustic Wave Propagation from a Prolate Spheroidal Surface

[+] Author and Article Information
J. P. Wright

Weidlinger Associates, Inc., 333 Seventh Avenue, New York, NY 10001

J. Vib. Acoust 115(4), 448-451 (Oct 01, 1993) (4 pages) doi:10.1115/1.2930371 History: Received October 01, 1992; Online June 17, 2008


A method is described for calculating the far field, transient, three-dimensional pressure field generated by acoustic waves emanating from a prolate spheroidal surface. The pressure field is expanded in a series of spherical harmonics, which leads to a system of linear, tridiagonal, one dimensional wave equations that can be integrated efficiently by numerical techniques based on the method of characteristics. Integrals involving orthogonal functions are approximated by a numerically robust scheme where exact orthogonality is obtained (in the absence of round-off errors) in terms of weighted sums over a discrete variable.

Copyright © 1993 by The American Society of Mechanical Engineers
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