TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder

被引：0

作者：

Abgaryan, Garnik V. ^{[1
]}

Shestopalov, Yury V. ^{[2
,3
]}

机构：

[1] Kazan Fed Univ, Inst Computat Math & Informat Technol, Dept Appl Math & Artificial Intelligence, Kremlevskaya St 35, Kazan 420008, Russia

[2] Univ Gavle, Fac Engn & Sustainable Dev, Dept Elect Math & Nat Sci, SE-80176 Gavle, Sweden

[3] Russian Technol Univ MIREA, Moscow 119454, Russia

来源：

MATHEMATICS | 2023年 / 11卷 / 09期

关键词：

slot resonator; diffraction problem; Helmholtz equation; Fredholm property; infinite linear algebraic equation system; EQUATIONS; FREQUENCIES; KERNEL; GUIDE; FORM;

D O I：

10.3390/math11091991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：16

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