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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2017 Issue 4, Pages 119–126 (Mi ivpnz184)

Mathematics

The inverse problem of recovering electromagnetic parameters of a thin anisotropic diaphragm in a rectangular waveguide

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

Penza State University, Penza

Abstract: Background. The paper is devoted to the inverse problem of recovering electromagnetic parameters. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method to solve the inverse problem for a thin anisotropic one-sectional diaphragm. Materials and methods. We consider the inverse problem of recovering the permittivity tensor for a thin anisotropic diaphragm. The problem is reduced to boundary value problem for the Maxwell's equation system. Results. We have obtained approximate formulas of the solution to the inverse problem. Conclusions. The solution to the inverse problem can be used for tensor permittivity recovery in a thin anisotropic slab.

Keywords: inverse problem, anisotropic material, waveguide method, permittivity tensor.

UDC: 517.3

DOI: 10.21685/2072-3040-2017-4-11



© Steklov Math. Inst. of RAS, 2024