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University proceedings. Volga region. Physical and mathematical sciences, 2020, Issue 1, Pages 88–96
DOI: https://doi.org/10.21685/2072-3040-2020-1-7 (Mi ivpnz92) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The inverse problem of recovering electromagnetic and geometric properties of a multisectional anisotropic diaphragm in a rectangular waveguide

E. D. Derevyanchyka, N. V. Derevyanchukb, A. K. Shishkinaa, I. V. Podboronova, S. I. Panina

a Penza State University, Penza
b Penza branch of military academy of logistics named after General Army A. V. Khrulyov, Penza
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DOI: https://doi.org/10.21685/2072-3040-2020-1-7
Abstract: Background. This paper is devoted to inverse problem of recovering electromagnetic and geometric properties of a multisectional anisotropic diaphragm in a rectangular waveguide. The aim of study is to develop numerical-analytical methods of solving inverse problems.
Materials and methods. We consider inverse problem: inverse problem of permittivity and permeability tensors and thickness reconstruction of multisectional diaphragm. The problem is devoted to the boundary value problem for Maxwell's equations.
Results. We obtain numerical-analytical methods of the solution of the inverse problem.
Conclusions. The numerical methods of solving the inverse problem and numerical results can be used in practice to reconstruct electromagnetic characteristics of modern materials.
Keywords: rectangular waveguide, anisotropic diaphragm, thickness of the diaphragm section, electrodynamic problem, complex permittivity, diagonal tensor, dielectric permittivity tensor, magnetic permeability tensor, waveguide method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-3604.2018.1
1.894.2017/4.6
The work was financially supported by the grant of the President of the Russian Federation No. MK-3604.2018.1, as well as by the grant of the Ministry of Education and Science of the Russian Federation (state assignment No. 1.894.2017/4.6).
Document Type: Article
UDC: 517.3
Language: Russian
Citation: E. D. Derevyanchyk, N. V. Derevyanchuk, A. K. Shishkina, I. V. Podboronov, S. I. Panin, “The inverse problem of recovering electromagnetic and geometric properties of a multisectional anisotropic diaphragm in a rectangular waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 1, 88–96
Citation in format AMSBIB
\Bibitem{DerDerShi20}
\by E.~D.~Derevyanchyk, N.~V.~Derevyanchuk, A.~K.~Shishkina, I.~V.~Podboronov, S.~I.~Panin
\paper The inverse problem of recovering electromagnetic and geometric properties of a multisectional anisotropic diaphragm in a rectangular waveguide
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2020
\issue 1
\pages 88--96
\mathnet{http://mi.mathnet.ru/ivpnz92}
\crossref{https://doi.org/10.21685/2072-3040-2020-1-7}
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    • This publication is cited in the following 1 articles:
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    		University proceedings. Volga region. Physical and mathematical sciences
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