Diffraction by an acoustic grating perturbed by a bounded obstacle

Anne-Sophie Bonnet-Ben Dhia 1 Karim Ramdani
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 : An original approach to solve 2D time harmonic diffraction problems involving locally perturbed gratings is proposed. The propagation medium is composed of a periodically stratified half-space and a homogeneous half-space containing a bounded obstacle. Using Fourier and Floquet transforms and integral representations, the diffraction problem is formulated as a coupled problem of Fredholm type with two unknowns: the trace of the diffracted field on the interface separating the two half-spaces on one hand, and the restriction of the diffracted field to a bounded domain surrounding the obstacle, on the other hand.
Type de document :
Article dans une revue
Advances in Computational Mathematics, Springer Verlag, 2002, 16 (2-3), pp.113-138. 〈10.1023/A:1014437813575〉
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Contributeur : Aurélien Arnoux <>
Soumis le : mardi 13 mai 2014 - 11:46:22
Dernière modification le : jeudi 16 novembre 2017 - 17:15:01

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Anne-Sophie Bonnet-Ben Dhia, Karim Ramdani. Diffraction by an acoustic grating perturbed by a bounded obstacle. Advances in Computational Mathematics, Springer Verlag, 2002, 16 (2-3), pp.113-138. 〈10.1023/A:1014437813575〉. 〈hal-00990202〉

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