%0 Journal Article
%T Guided Waves by Electromagnetic Gratings and Non-Uniqueness Examples for the Diffraction Problem
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Bonnet-Ben Dhia, Anne-Sophie
%A Starling, Felipe
%< avec comité de lecture
%@ 0170-4214
%J Mathematical Methods in the Applied Sciences
%I Wiley
%V 17
%N 5
%P 305-338
%8 1994-04
%D 1994
%R 10.1002/mma.1670170502Journal articles
%X 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.
%G English
%L hal-01010197
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-01010197
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