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

University proceedings. Volga region. Physical and mathematical sciences, 2019 Issue 4, Pages 86–94 (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

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.

UDC: 517.3

DOI: 10.21685/2072-3040-2019-4-8



© Steklov Math. Inst. of RAS, 2024