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University proceedings. Volga region. Physical and mathematical sciences, 2019, Issue 4, Pages 86–94
DOI: https://doi.org/10.21685/2072-3040-2019-4-8
(Mi ivpnz101)
 

Mathematics

The inverse problem of electromagnetic characteristics reconstraction of a multisectional anisotropic diaphragm in the rectangular waveguide

E. D. Derevyanchyk, N. V. Derevyanchuk, M. A. Loginov

Penza State University, Penza
References:
Abstract: Background. This work is devoted to inverse problem of electromagnetic characteristics 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 inverse problem: 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 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: isotropic material, anisotropic material, electrodynamics problem, integrated dielectric conductivity, tensor of magnetic permeability, diagonal tensor, tensor of the dielectric permittivity, waveguide method.
Funding agency Grant number
Grants 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, N. V. Derevyanchuk, M. A. Loginov, “The inverse problem of electromagnetic characteristics reconstraction of a multisectional anisotropic diaphragm in the rectangular waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4, 86–94
Citation in format AMSBIB
\Bibitem{DerDerLog19}
\by E.~D.~Derevyanchyk, N.~V.~Derevyanchuk, M.~A.~Loginov
\paper The inverse problem of electromagnetic characteristics reconstraction of a multisectional anisotropic diaphragm in the rectangular waveguide
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2019
\issue 4
\pages 86--94
\mathnet{http://mi.mathnet.ru/ivpnz101}
\crossref{https://doi.org/10.21685/2072-3040-2019-4-8}
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