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University proceedings. Volga region. Physical and mathematical sciences, 2019, Issue 3, Pages 25–35
DOI: https://doi.org/10.21685/2072-3040-2019-3-2
(Mi ivpnz107)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Inverse problems of restoring anisotropic diaphragm parameters in a rectangular waveguide

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

Penza State University, Penza
Full-text PDF (501 kB) Citations (1)
References:
Abstract: Background. This paper is devoted to inverse problems of electromagnetic parameters reconstruction of isotropic and anisotropic diaphragms. The aim of study is to develop numerical-analytical methods of solving inverse problems. Materials and methods. We consider two inverse problems: inverse problem of complex permittivity reconstruction and inverse problem of permittivity and permeability tensors reconstruction of multi-sectional diaphragm. The problem is devoted to the boundary value problem for Maxwell's equations. Results. We obtain numerical-analytical methods of the solution to the both inverse problems. Conclusions. The numerical methods of solving these inverse problems and numerical results can be used in practice to reconstruct electromagnetic characteristics of modern materials.
Keywords: electrodynamics problem, inverse problem, complex permittivity, isotropic, anisotropic material, tensor, permeability tensor, permittivity tensor.
Funding agency Grant number
Grant of the President of the Russian Federation MK-3604.2018.1
Министерство образования и науки РФ 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 Russia (state assignment No. 1.894.2017/4.6).
Document Type: Article
UDC: 517.3
Language: Russian
Citation: E. D. Derevyanchyk, M. A. Loginov, V. V. Skorkin, O. V. Frolova, “Inverse problems of restoring anisotropic diaphragm parameters in a rectangular waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 3, 25–35
Citation in format AMSBIB
\Bibitem{DerLogSko19}
\by E.~D.~Derevyanchyk, M.~A.~Loginov, V.~V.~Skorkin, O.~V.~Frolova
\paper Inverse problems of restoring anisotropic diaphragm parameters in a rectangular waveguide
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2019
\issue 3
\pages 25--35
\mathnet{http://mi.mathnet.ru/ivpnz107}
\crossref{https://doi.org/10.21685/2072-3040-2019-3-2}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    University proceedings. Volga region. Physical and mathematical sciences
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    Full-text PDF :4
    References:12
     
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