Abstract

An earlier investigation [J. Acoust. Soc. Am. 108, 2759–2764 (2000)] of the simplified algorithm for the second-order sound fields with circular axial symmetry is extended to a more general case of the sound sources with an arbitrary distribution. This extension is based on the fact that the source function is expanded into the sum of a series of two-dimensional Gaussian ones. The two- and five-dimensional integral expressions for the primary and second-order fields are, respectively, reduced in terms of Gaussian functions and simple one-dimensional integrals. Numerical calculations are then greatly simplified.

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