Volume singular integral equations for problems of scattering on three-dimensional dielectric structures

DOI10.1134/S0012266114090079zbMath1317.78006MaRDI QIDQ486264

A. B. Samokhin

Publication date: 15 January 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Maxwell equationselectro-magnetic wave scatteringintegral operator spectrumvolume singular integral equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Diffraction, scattering (78A45) Integral equations with kernels of Cauchy type (45E05) Maxwell equations (35Q61)

Related Items (12)

Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations ⋮ Analysis and solution method for problems of electromagnetic wave scattering on dielectric and perfectly conducting structures ⋮ Volume singular integral equations for transparent structures over an ideally conducting surface ⋮ On the volume singular integro-differential equation approach for the electromagnetic diffraction problem ⋮ Discretization methods for three-dimensional singular integral equations of electromagnetism ⋮ On the surface integral approximation of the second derivatives of the potential of a bulk charge located in a layer of small thickness ⋮ 3D Fredholm integral equations for scattering by dielectric structures ⋮ Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies ⋮ Volume integral equations with time delay for solving nonstationary acoustic problems ⋮ On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation ⋮ Singular modes of the integral scattering operator in anisotropic inhomogeneous media ⋮ Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens

Cites Work

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• Stationary iteration methods for solving 3D electromagnetic scattering problems
• Diffraction of electromagnetic waves on a locally non-homogeneous body and singular integral equations
• A generalized overrelaxation method for solving singular volume integral equations in low-frequency scattering problems
• On the Eigenvalues of the Volume Integral Operator of Electromagnetic Scattering
• Spectrum of the Volume Integral Operator of Electromagnetic Scattering
• Electromagnetic scattering from an orthotropic medium

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