On the volume singular integro-differential equation approach for the electromagnetic diffraction problem

DOI10.1080/00036811.2015.1115839zbMath1360.35267OpenAlexW2192712217WikidataQ115316100 ScholiaQ115316100MaRDI QIDQ2965793

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Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1115839

zbMATH Keywords

Maxwell's equationsboundary value problempseudodifferential operatordiffraction problemvolume singular integral equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Diffraction, scattering (78A45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Maxwell equations (35Q61) Integro-partial differential equations (35R09)

Related Items (3)

Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid ⋮ On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body ⋮ Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens

Cites Work

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• Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
• Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body
• Volume singular integral equations for problems of scattering on three-dimensional dielectric structures
• Volume and surface integral equations for electromagnetic scattering by a dielectric body
• Theory of function spaces
• A coercive bilinear form for Maxwell's equations
• A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
• Investigation of Electromagnetic Diffraction by a Dielectric Body in a Waveguide Using the Method of Volume Singular Integral Equation
• L₂-Theory of the Maxwell operator in arbitrary domains

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