On the Eigen Frequencies of Rectangular Resonator with a Hole in the Wall

Abgaryan, G. V.; Pleshchinskii, N. B.

doi:10.1134/s1995080219100020

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2020

2023

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Cited by 10 publications

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“…Note also the recent works [22][23][24][25][26][27][28] devoted to the solution of the electromagnetic wave diffraction problems in waveguide structures with resonant regions formed by slotted rectangular resonators. In the cited works, DAFE are reduced to SLAE-II using the method of integral summation identities (ISI).…”

Section: Introductionmentioning

confidence: 99%

TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder

Abgaryan

Shestopalov

2023

Mathematics

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The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the second kind (SLAE-II) using integral summation identities (ISI). A detailed study of the matrix operator of the problem is performed and its Fredholm property in the weighted Hilbert space of infinite sequences is proven. The convergence of the truncation method constructed in the paper for the numerical solution of SLAE-II is justified and the results of computations are presented and discussed, specifically considering the determination of resonance modes.

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