The linear sampling method in a waveguide: A formulation based on modes

Laurent Bourgeois 1 Éric Lunéville 1
1 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 : This paper concerns the Linear Sampling Method to retrieve obstacles in a 2D or 3D acoustic waveguide. We derive a modal formulation of the LSM which is suitable for the waveguide configuration. Despite the ill-posedness of the inverse problem is increased owing to the evanescent modes, numerical experiments show good reconstruction of obstacles by using the far field. © 2008 IOP Publishing Ltd.
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Submitted on : Thursday, October 17, 2013 - 10:27:44 AM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

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Laurent Bourgeois, Éric Lunéville. The linear sampling method in a waveguide: A formulation based on modes. Journal of Physics: Conference Series, IOP Publishing, 2008, 135 (-), pp.012023. ⟨10.1088/1742-6596/135/1/012023⟩. ⟨hal-00873074⟩

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