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, ENSTA ParisTech 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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Article dans une revue
Journal of Physics: Conference Series, IOP Publishing, 2008, 135 (-), pp.012023. 〈10.1088/1742-6596/135/1/012023〉
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Soumis le : jeudi 17 octobre 2013 - 10:27:44
Dernière modification le : jeudi 5 octobre 2017 - 16:14:02

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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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