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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
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
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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Submitted on : Thursday, June 19, 2014 - 1:41:04 PM
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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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