Skip to Main content Skip to Navigation
Journal articles

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
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
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.
Document type :
Journal articles
Complete list of metadatas
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, May 13, 2014 - 11:46:22 AM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

Links full text




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⟩



Record views