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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.
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Submitted on : Tuesday, May 13, 2014 - 11:46:22 AM
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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, 2002, 16 (2-3), pp.113-138. ⟨10.1023/A:1014437813575⟩. ⟨hal-00990202⟩



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