Diffraction by an obstacle located in a semi-infinite plates grating

Anne Sophie Bonnet-Bendhia; Karim Ramdani; Axel Tillequin

doi:10.1016/S0764-4442(00)01762-6

Diffraction by an obstacle located in a semi-infinite plates grating

Titre traduit de la contribution: Diffraction par un obstacle situé dans un réseau de plaques semi-infinies

Anne Sophie Bonnet-Bendhia
, Karim Ramdani
, Axel Tillequin

Unité de Mathématiques Appliquées

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

A method to solve the scattering problem by a grating of semi-infinite horizontal plates locally perturbed by a bounded obstacle is proposed. This method couples a variational equation set in a bounded domain surrounding the obstacle with a pseudo-differential equation set on the vertical line located at the end of the plates. Using a variational formulation, we prove that the Fredholm alternative holds except for the resonant frequencies of the grating.

Titre traduit de la contribution	Diffraction par un obstacle situé dans un réseau de plaques semi-infinies
langue originale	Anglais
Pages (de - à)	977-982
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	331
Numéro de publication	12
Les DOIs	https://doi.org/10.1016/S0764-4442(00)01762-6
état	Publié - 15 déc. 2000

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10.1016/S0764-4442(00)01762-6

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abstract = "A method to solve the scattering problem by a grating of semi-infinite horizontal plates locally perturbed by a bounded obstacle is proposed. This method couples a variational equation set in a bounded domain surrounding the obstacle with a pseudo-differential equation set on the vertical line located at the end of the plates. Using a variational formulation, we prove that the Fredholm alternative holds except for the resonant frequencies of the grating.",

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AB - A method to solve the scattering problem by a grating of semi-infinite horizontal plates locally perturbed by a bounded obstacle is proposed. This method couples a variational equation set in a bounded domain surrounding the obstacle with a pseudo-differential equation set on the vertical line located at the end of the plates. Using a variational formulation, we prove that the Fredholm alternative holds except for the resonant frequencies of the grating.

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Diffraction by an obstacle located in a semi-infinite plates grating

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