RUS  ENG
Full version
JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2019 Issue 4, Pages 77–85 (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

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.

UDC: 517.3

DOI: 10.21685/2072-3040-2019-4-7



© Steklov Math. Inst. of RAS, 2024