%0 Journal Article
%T Diffraction by an acoustic grating perturbed by a bounded obstacle
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Bonnet-Ben Dhia, Anne-Sophie
%A Ramdani, Karim
%< avec comité de lecture
%@ 1019-7168
%J Advances in Computational Mathematics
%I Springer Verlag
%V 16
%N 2-3
%P 113-138
%8 2002
%D 2002
%R 10.1023/A:1014437813575Journal articles
%X 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.
%G English
%L hal-00990202
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00990202
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