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University proceedings. Volga region. Physical and mathematical sciences, 2015, Issue 4, Pages 75–83
(Mi ivpnz268)
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Mathematics
A numerical method of fetermination of electromagnetic and geometrical parameters of a diaphragm in a waveguide
E. D. Derevyanchyk, A. S. Shutkov Penza State University, Penza
Abstract:
Background. The aim of the work is to study an inverse problem of reconstruction of electromagnetic and geometrical parameters 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; to prove the theorem of existence and uniqueness of the solution to the inverse problem for a one-sectional diaphragm in a rectangular waveguide by the reflection coefficient, the researchers applied the theory of boundary value problems for Maxwell's equations, the theory of approximate methods for solving nonlinear systems. Results. The authors developed numerical and analytical solutions of inverse problems for a multi-sectional diaphragm in a rectangular waveguide by the transmission and reflection coefficients; the theorem of existence and uniqueness of the solution to the inverse problem for a one-sectional diaphragm in a rectangular waveguide by the reflection coefficient was proved. Conclusions. The obtained results can be used for determination of electromagnetic characteristics and geometrical parameters of composite materials.
Keywords:
inverse electrodynamics problem, multi-sectional diaphragm, one-sectional diaphragm, permittivity, permeability, existence and uniqueness problem, rectangular waveguide.
Citation:
E. D. Derevyanchyk, A. S. Shutkov, “A numerical method of fetermination of electromagnetic and geometrical parameters of a diaphragm in a waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 4, 75–83
Linking options:
https://www.mathnet.ru/eng/ivpnz268 https://www.mathnet.ru/eng/ivpnz/y2015/i4/p75
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Abstract page: | 22 | Full-text PDF : | 8 | References: | 7 |
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