Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies

DOI10.1134/S1064562421010142zbMath1493.35115OpenAlexW3174658447MaRDI QIDQ2243849

A. B. Samokhin, Yury G. Smirnov

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421010142

zbMATH Keywords

Maxwell's equationsanisotropic mediavolume singular integral equationsmedia without lossesproblems of scattering electromagnetic waves

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

An adaptive finite element method for solving 3D electromagnetic volume integral equation with applications in microwave thermometry

Cites Work

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• Volume singular integral equations for problems of scattering on three-dimensional dielectric structures
• On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body
• ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
• Electromagnetic scattering from an orthotropic medium

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