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Wave propagation in a waveguide containing restrictions with circular arc shape

Simon Félix 1 Agnes Maurel 2 Jean-François Mercier 3 
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : A multimodal method is used to analyze the wave propagation in waveguides containing restrictions (or corrugations) with circular arc shapes. This is done using a geometrical transformation which transforms the waveguide with complex geometry in the real space to a straight waveguide in the transformed space, or virtual space. In this virtual space, the Helmholtz equation has a modified structure which encapsulates the complexity of the geometry. It is solved using an improved modal method, which was proposed in a paper by A. Maurel, J.-F. Mercier, and S. Félix [Proc. R. Soc. A 470, 20130743 (2014)], that increases the accuracy and convergence of usual multimodal formulations. Results show the possibility to solve the wave propagation in a waveguide with a high density of circular arc shaped scatterers.
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Submitted on : Sunday, November 29, 2015 - 10:06:00 PM
Last modification on : Wednesday, October 26, 2022 - 4:08:04 PM



Simon Félix, Agnes Maurel, Jean-François Mercier. Wave propagation in a waveguide containing restrictions with circular arc shape. Journal of the Acoustical Society of America, 2015, 137 (3), pp.7. ⟨10.1121/1.4913506⟩. ⟨hal-01235292⟩



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