Numerical and analytical study of the problem of electromagnetic oscillations in open inhomogeneous resonators

DOI10.1134/S0012266122090105zbMath1502.35159WikidataQ115248647 ScholiaQ115248647MaRDI QIDQ2094832

Yu. A. Petrova, Yury G. Smirnov

Publication date: 8 November 2022

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

zbMATH Keywords

numerical methodsingular integral equationsMaxwell equationsspectral parameterelectromagnetic oscillationsresonatorsanalytical studyroots of the characteristic equation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Estimates of eigenvalues in context of PDEs (35P15) Diffraction, scattering (78A45) Electromagnetic theory (general) (78A25) Fredholm integral equations (45B05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Integral equations with kernels of Cauchy type (45E05) Integro-partial differential equations (35R09)

Cites Work

• Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations
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