Diffraction by an Acoustic Grating Perturbed by a Bounded Obstacle |
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Authors: | Bonnet-Bendhia Anne-Sophie Ramdani Karim |
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Institution: | (1) Laboratoire UMA, ENSTA, 32 Boulevard Victor, 75739 Paris Cedex 15, France;(2) IECN, Département de Mathématiques, Université de Nancy I, BP 239, 54506 Vanduvre les Nancy Cedex, France |
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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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Keywords: | acoustic diffraction perturbed gratings Floquet transform |
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