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- W2330756478 abstract "This paper is concerned with the study of a new integral equation formulation for electromagnetic scattering by a $2pi$-biperiodic polyhedral Lipschitz profile. Using a combinedpotential ansatz, we derive a singular integral equation with Fredholm operator of index zero from time-harmonic Maxwell's equations and prove its equivalenceto the electromagnetic scattering problem. Moreover, under certain assumptions on the electric permittivity and the magnetic permeability, we obtain existence and uniqueness resultsin the special case that the grating is smooth and, under more restrictive assumptions, in the case that the grating is of polyhedral Lipschitz regularity." @default.
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- W2330756478 date "2015-01-01" @default.
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- W2330756478 title "Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures" @default.
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- W2330756478 doi "https://doi.org/10.3934/dcdss.2015.8.435" @default.
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