Guided Waves by Electromagnetic Gratings and Non-Uniqueness Examples for the Diffraction Problem

Anne-Sophie Bonnet-Ben Dhia 1 Felipe Starling
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 : We consider the two-dimensional scalar problem of the diffraction of a plane wave by an infinite grating of conducting bodies immersed in a periodical dielectric medium. A Fredholm-type formulation is derived and studied. The existence of a solution is proved and some uniqueness results are established. A detailed description of the guided modes of the grating is carried out. Finally, various non-uniqueness examples for the diffraction problem are exhibited.
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Mathematical Methods in the Applied Sciences, Wiley, 1994, 17 (5), pp.305-338. 〈10.1002/mma.1670170502〉
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Soumis le : jeudi 19 juin 2014 - 13:41:04
Dernière modification le : mercredi 4 juillet 2018 - 11:14:01

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Anne-Sophie Bonnet-Ben Dhia, Felipe Starling. Guided Waves by Electromagnetic Gratings and Non-Uniqueness Examples for the Diffraction Problem. Mathematical Methods in the Applied Sciences, Wiley, 1994, 17 (5), pp.305-338. 〈10.1002/mma.1670170502〉. 〈hal-01010197〉

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