1984•The Journal of the Acoustical Society of AmericaRequires access

Calculation of acoustic wave scattering by means of the Helmholtz integral equation. I

William Tobocman

Open publisher page 29 citations

Abstract

For the calculation of wave scattering by targets of complex shape it is suggested that the Helmholtz integral equation be solved in configuration space directly. Expansion in terms of spherical or spheroidal waves is thus avoided. The method is tested by calculating the scattering of acoustic waves by rigid spheroids of various shapes and orientations. The method appears to be particularly well suited to the intermediate wavelength regime where the wavelength is comparable to the dimension of the target.

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What this paper is about

For the calculation of wave scattering by targets of complex shape it is suggested that the Helmholtz integral equation be solved in configuration space directly. Expansion in terms of spherical or spheroidal waves is thus avoided. The method is tested by calculating the scattering of acoustic waves by rigid spheroids of various shapes and orientations. The method appears to be particularly well suited to the intermediate wavelength regime where the wavelength is comparable to the dimension of the target.

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Available abstract

For the calculation of wave scattering by targets of complex shape it is suggested that the Helmholtz integral equation be solved in configuration space directly. Expansion in terms of spherical or spheroidal waves is thus avoided. The method is tested by calculating the scattering of acoustic waves by rigid spheroids of various shapes and orientations. The method appears to be particularly well suited to the intermediate wavelength regime where the wavelength is comparable to the dimension of the target.

Key concepts: Helmholtz equation, Scattering, Helmholtz free energy, Wavelength, Integral equation, Physics, Dimension (graph theory), Space (punctuation)

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