Volume integral equations for scattering from anisotropic diffraction gratings

DOI10.1002/mma.2585zbMath1267.78027arXiv1201.0743OpenAlexW3106275170MaRDI QIDQ4908131

Armin Lechleiter, Dinh-Liem Nguyen

Publication date: 4 March 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0743

zbMATH Keywords

integral equationscatteringdiffraction gratingGårding inequality

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Fredholm integral equations (45B05)

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Cites Work

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• Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants
• Volume and surface integral equations for electromagnetic scattering by a dielectric body
• Time harmonic wave diffraction problems in materials with sign-shifting coefficients
• On the numerical solution of a three-dimensional inverse medium scattering problem
• The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems inL²
• Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Electromagnetic scattering from an orthotropic medium