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University proceedings. Volga region. Physical and mathematical sciences, 2017, Issue 4, Pages 119–126
DOI: https://doi.org/10.21685/2072-3040-2017-4-11
(Mi ivpnz184)
 

Mathematics

The inverse problem of recovering electromagnetic parameters of a thin anisotropic diaphragm in a rectangular waveguide

E. D. Derevyanchyk, M. A. Loginov, O. V. Frolova

Penza State University, Penza
References:
Abstract: Background. The paper is devoted to the inverse problem of recovering electromagnetic parameters. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method to solve the inverse problem for a thin anisotropic one-sectional diaphragm. Materials and methods. We consider the inverse problem of recovering the permittivity tensor for a thin anisotropic diaphragm. The problem is reduced to boundary value problem for the Maxwell's equation system. Results. We have obtained approximate formulas of the solution to the inverse problem. Conclusions. The solution to the inverse problem can be used for tensor permittivity recovery in a thin anisotropic slab.
Keywords: inverse problem, anisotropic material, waveguide method, permittivity tensor.
Funding agency Grant number
RF President scholarship SP-1311.2015.5
Министерство образования и науки РФ 1.894.2017/4.6
The work was financially supported by the scholarship of the President of the Russian Federation for young scientists and postgraduates No. SP-1311.2015.5, as well as a grant from the Ministry of Education and Science of the Russian Federation (state task No. 1.894.2017/4.6)
Document Type: Article
UDC: 517.3
Language: Russian
Citation: E. D. Derevyanchyk, M. A. Loginov, O. V. Frolova, “The inverse problem of recovering electromagnetic parameters of a thin anisotropic diaphragm in a rectangular waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 4, 119–126
Citation in format AMSBIB
\Bibitem{DerLogFro17}
\by E.~D.~Derevyanchyk, M.~A.~Loginov, O.~V.~Frolova
\paper The inverse problem of recovering electromagnetic parameters of a thin anisotropic diaphragm in a rectangular waveguide
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2017
\issue 4
\pages 119--126
\mathnet{http://mi.mathnet.ru/ivpnz184}
\crossref{https://doi.org/10.21685/2072-3040-2017-4-11}
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