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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.
Keywords : no 43 20 Rz 40 Rj
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https://hal-univ-artois.archives-ouvertes.fr/hal-03207837
Contributor : Antoine Lavie <>
Submitted on : Monday, April 26, 2021 - 10:46:44 AM
Last modification on : Thursday, June 17, 2021 - 2:46:06 PM
Long-term archiving on: : Tuesday, July 27, 2021 - 6:35:40 PM

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

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