Integral representations of fields in three-dimensional problems of diffraction by penetrable bodies

DOI10.1134/S0012266120090050zbMath1448.78031OpenAlexW3092113024MaRDI QIDQ2004007

Yu. A. Eremin

Publication date: 14 October 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120090050

zbMATH Keywords

diffractionintegral representationsFredholm equationpenetrable bodies

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Related Items (1)

Properties of a system of integral equations of the first kind in problems of diffraction by a permeable body

Cites Work

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• Allowance for the nonlocal interaction of plasmonic particles in the discrete sources method
• Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body
• Integro-functional representations with complex support for wave fields
• \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
• Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle
• Inverse acoustic and electromagnetic scattering theory

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