Electromagnetic Wave Diffraction on a Metal Diaphragm of Finite Thickness

The two-dimensional problem of the diffraction of an electromagnetic wave by a metal diaphragm of finite thickness in an infinite rectangular waveguide is solved and investigated. Using the method of the integral-series identity, the problem is reduced to an infinite system of linear algebraic equat...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2021-06, Vol.42 (6), p.1328-1334
Main Author: Abgaryan, G. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Electromagnetic fields
Electromagnetic radiation
Geometry
Linear algebra
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Rectangular waveguides
Resonant frequencies
Thermal expansion
Thickness
Vectors (mathematics)
Wave diffraction
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Summary:The two-dimensional problem of the diffraction of an electromagnetic wave by a metal diaphragm of finite thickness in an infinite rectangular waveguide is solved and investigated. Using the method of the integral-series identity, the problem is reduced to an infinite system of linear algebraic equations. Through computational experiments, it was shown that the expansion coefficients of the vectors of the diffracted electromagnetic field from the spectral parameter are of a resonant nature. Based on this, it was concluded that the waveguide region corresponding to the hole in the diaphragm is resonant. Moreover, the resonant frequencies of this region are close to the natural frequencies of the corresponding resonator without holes.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221060020