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

University proceedings. Volga region. Physical and mathematical sciences, 2018 Issue 2, Pages 56–63 (Mi ivpnz157)

This article is cited in 4 papers

Mathematics

Reconstruction of electromagnetic characteristics of a multisectional anisotropic diaphragm in a rectangular waveguide

E. D. Derevyanchyk, I. A. Rodionova

Penza State University, Penza

Abstract: Background. The appearance of new artificial materials, such as composites, has raised a problem of electromagnetic parameters reconstruction for such materials. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method for solving the inverse problem for a thin anisotropic multi-sectional diaphragm. Materials and methods. We consider the inverse problem of a permittivity tensor for a thin multisectional anisotropic diaphragm. The problem is reduced to a boundary value problem for Maxwell's equations. Results. We obtain numerical-analytical approximate formulas of the solution to the inverse problem. Numerical-analytical method is developed for the problem under investigation. Numerical results are presented for the case of three-sectional diaphragm. Conclusions. The solution of the inverse problem can be used for tensor permittivity reconstruction for a thin anisotropic multisectional slab.

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

UDC: 517.3

DOI: 10.21685/2072-3040-2018-2-6



© Steklov Math. Inst. of RAS, 2024