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Journal Articles Mathematical Methods in the Applied Sciences Year : 1994

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

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.

Dates and versions

hal-01010197 , version 1 (19-06-2014)

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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, 1994, 17 (5), pp.305-338. ⟨10.1002/mma.1670170502⟩. ⟨hal-01010197⟩
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