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Journal Articles Acta Acustica united with Acustica Year : 2010

A Wave Superposition Method Based on Monopole Sources with Unique Solution for All Wave Numbers

Abstract

Asimple solution for the uniqueness problem of the wave superposition method is proposed in this paper.Many authors have pointed out the discrete set of wavenumbers for which the solution of the underlying integral equations is not unique. So far, the usual solutions are theoretically sophisticated and/or numerically disadvantageous. Here, by adding some sources interior to the virtual surface defined by the wave superposition method, the uniqueness problem can be easily removedwith lowcomputational effort. Furthermore, dealing with simple monopoles, this method is well-suited for practical applications.

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Dates and versions

hal-03207837 , version 1 (26-04-2021)

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Alexandre Leblanc, Ros Kiri Ing, Antoine Lavie. A Wave Superposition Method Based on Monopole Sources with Unique Solution for All Wave Numbers. Acta Acustica united with Acustica, 2010, 96, pp.125 - 130. ⟨10.3813/aaa.918263⟩. ⟨hal-03207837⟩
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