TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder-Reference-Cited by-同舟云学术

TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder

Published:2023-04-23 Issue:9 Volume:11 Page:1991
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Abgaryan Garnik V.¹^ORCID,Shestopalov Yury V.²³^ORCID

Affiliation:

1. Department of Applied Mathematics and Artificial Intelligence, Institute of Computational Mathematics and Information Technology, Kazan Federal University, Kremlevskaya Street 35, Kazan 420008, Russia

2. Department of Electronics, Mathematics, and Natural Sciences, Faculty of Engineering and Sustainable Development, University of Gävle, SE 801 76 Gavle, Sweden

3. Russian Technological University MIREA, Moscow 119454, Russia

Abstract

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.

Funder

Kazan Federal University Strategic Academic Leadership Program

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/9/1991/pdf

Reference42 articles.

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3. Mittra, R., and Lee, S.W. (1974). Analytical Techniques in the Theory of Guided Waves, Macmillan. [1st ed.].

4. Peterson, A.F., Scott, L., and Mittra, R. (1998). Computational Methods for Electromagnetics, IEEE.

5. Semi-reversal method in problems of wave diffraction on forks of plane irregular waveguides;Kuraev;Dokl. AN USSR,1987

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