Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures
type: Item
instance of: scholarly article
title: Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures
zbMATH Open document ID: 1311.78009
author: Beatrice Bugert
author: Gunther Schmidt
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2014-12-05T00:00:00Z
review text: The authors consider the scattering of time-harmonic plane waves by a \(2 \pi\)-biperiodic polyhedral Lipschitz surface which is separating two different materials of constant electric permittivity and magnetic permeability. Potential methods are used to obtain singular boundary integral equations that model the problem. Gårding type inequalities are considered to derive Fredholm properties of the boundary integral equations. Moreover, existence and uniqueness of solutions (upon specific assumptions on the electromagnetic material parameters) are also obtained.
reviewed by: L. P. Castro
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 35Q61
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47G40
zbMATH DE Number: 6377093
zbMATH Keywords: biperiodic scattering problem
zbMATH Keywords: Maxwell equations
zbMATH Keywords: boundary integral equation
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: Gårding inequality
MaRDI profile type: Publication
full work available at URL: dcdss.2015.8.435
OpenAlex ID: W2330756478
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DOI: 10.3934/DCDSS.2015.8.435
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description: scientific article; zbMATH DE number 6377093