Numerical-analytical method for determining the dielectric constant of 1D inhomogeneous plate in a waveguide

The inverse diffraction problem is considered for a layered dielectric plate in a metal waveguide of arbitrary cross-section. The proposed solution is based on the Cauchy problem for the Riccati equation. Based on this solution, algorithm and code are developed for the dielectric permittivity profil...

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Bibliographic Details
Published in:IET microwaves, antennas & propagation antennas & propagation, 2020-11, Vol.14 (14), p.1878-1885
Main Authors: Melezhik, Peter N, Morozov, Vladimir Y, Poyedinchuk, Anatoliy Y, Mizrakhy, Sergey V, Nesterov, Pavel K, Vertiy, Alexey A
Format: Article
Language:English
Subjects:
1D inhomogeneous plate
arbitrary cross‐section
Cauchy problem
complex reflection coefficient
dielectric permittivity profile reconstruction
dielectric waveguides
inverse diffraction problem
layered dielectric plate
mathematically simulated values
metal waveguide
numerical analysis
numerical‐analytical method
permittivity measurement
Research Article
Riccati equation
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Summary:The inverse diffraction problem is considered for a layered dielectric plate in a metal waveguide of arbitrary cross-section. The proposed solution is based on the Cauchy problem for the Riccati equation. Based on this solution, algorithm and code are developed for the dielectric permittivity profile reconstruction. The measured and mathematically simulated values of the complex reflection coefficient at finite number of frequencies are used as input data. Reconstructed dielectric permittivity profiles for layered plates are in good agreement with measured ones.
ISSN:1751-8725
1751-8733
DOI:10.1049/iet-map.2020.0233