Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies

DOI10.1155/2015/945965zbMath1342.35371OpenAlexW1533853380WikidataQ59102593 ScholiaQ59102593MaRDI QIDQ277836

F. Blanchet-Sadri, M. Dambrine

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/945965

zbMATH Keywords

Maxwell's equationsintegrodifferential equationspseudodifferential operatorelectromagnetic wave diffraction

Mathematics Subject Classification ID

Diffraction, scattering (78A45) PDEs with low regular coefficients and/or low regular data (35R05) Boundary value problems for PDEs with pseudodifferential operators (35S15) Maxwell equations (35Q61)

Related Items (6)

Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid ⋮ Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations ⋮ On the volume singular integro-differential equation approach for the electromagnetic diffraction problem ⋮ On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid ⋮ On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation ⋮ Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens

Cites Work

• Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body
• Volume and surface integral equations for electromagnetic scattering by a dielectric body
• A direct boundary integral equation method for transmission problems
• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
• The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems inL²
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
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