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University proceedings. Volga region. Physical and mathematical sciences, 2019, Issue 4, Pages 77–85
DOI: https://doi.org/10.21685/2072-3040-2019-4-7
(Mi ivpnz100)
 

Mathematics

The inverse problem of reconstracting an integrated dielectric conductivity by a waveguide method

E. D. Derevyanchyka, N. V. Derevyanchuka, A. N. Perekusikhinab, V. V. Skorkina

a Penza State University, Penza
b Penza State University of Architecture and Construction, Penza
References:
Abstract: Background. This work is devoted to inverse problem of integrated conductivity reconstraction by waveguide method. The aim of study is to approbation of the numerical-analytical method for solving inverse problem. Materials and methods. We consider inverse problem: inverse problem of complex permittivity reconstruction of one-sectional diaphragm. The problem is devoted to the boundary value problem for Maxwell's equations. Results. The numerical-analytical method is tested. We consider some series of examples. Numerical results show that we can use numerical-analytical method in practice effectively. Conclusions. The numerical method for rec of complex conductivity 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, 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, A. N. Perekusikhina, V. V. Skorkin, “The inverse problem of reconstracting an integrated dielectric conductivity by a waveguide method”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4, 77–85
Citation in format AMSBIB
\Bibitem{DerDerPer19}
\by E.~D.~Derevyanchyk, N.~V.~Derevyanchuk, A.~N.~Perekusikhina, V.~V.~Skorkin
\paper The inverse problem of reconstracting an integrated dielectric conductivity by a waveguide method
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2019
\issue 4
\pages 77--85
\mathnet{http://mi.mathnet.ru/ivpnz100}
\crossref{https://doi.org/10.21685/2072-3040-2019-4-7}
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