Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem | Zendy

BonnetBendhia AnneSophie | Zendy; Starling Felipe | Zendy

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Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem

Author(s) -

BonnetBendhia AnneSophie,

Starling Felipe

Publication year - 1994

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670170502

Subject(s) - uniqueness , diffraction , scalar (mathematics) , grating , plane wave , plane (geometry) , diffraction grating , optics , dielectric , physics , electromagnetic radiation , mathematical analysis , mathematics , geometry , optoelectronics

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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