Acoustic scattering by baffled flexible surfaces: The discrete optical theorem

Document Type

Article

Publication Date

3-1-2000

Abstract

The optical theorem for acoustic scattering by baffled membranes and plates relates the total cross section of the scattered field, the directivity factor in the specular direction, and the energy dissipated by the structure. It is basically a statement of conservation of power. In this paper it is demonstrated that the discrete formulation of these problems, obtained by a Galerkin approximation, exactly satisfies the optical theorem. This discrete relationship holds regardless of the choice of basis functions and the size of the truncated system N. Thus, the adherence of the approximate numerical results to the power conservation law does not necessarily imply its accuracy. (C) 2000 Acoustical Society of America.

Identifier

0034091684 (Scopus)

Publication Title

Journal of the Acoustical Society of America

External Full Text Location

https://doi.org/10.1121/1.428402

ISSN

00014966

First Page

1121

Last Page

1125

Issue

3

Volume

107

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