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.
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