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

University proceedings. Volga region. Physical and mathematical sciences, 2015 Issue 4, Pages 84–92 (Mi ivpnz269)

Mathematics

An inverse problem of tensor reconstruction of a multi-sectional diaphragm in a rectangular waveguide by the transmission or reflection coefficients

E. D. Derevyanchyk

Penza State University, Penza

Abstract: Background. The aim of the work is to study an inverse problem of tensor reconstruction of a multi-sectional diaphragm in a rectangular waveguide by the transmission or reflection coefficients. Material and methods. The problem is considered as an inverse problem of electrodynamics, it is presented as a boundary value problem for Maxwell's equations; it was applied the theory of boundary value problems for Maxwell's equations, the theory of approximate methods for solving nonlinear systems. Results. The author has developed a numerical-analytical solution for the inverse problem of tensor reconstruction of a multi-sectional diaphragm in a rectangular waveguide by the transmission or reflection coefficients. Conclusions. The obtained results can be used for determination of electromagnetic characteristics of anisotropic composite materials.

Keywords: inverse electrodynamics problem, multi-sectional diaphragm, permeability tensor, rectangular waveguide.

UDC: 517.958, 537.876.46



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