TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder

Garnik V. Abgaryan and Yury V. Shestopalov ()
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Garnik V. Abgaryan: Department of Applied Mathematics and Artificial Intelligence, Institute of Computational Mathematics and Information Technology, Kazan Federal University, Kremlevskaya Street 35, Kazan 420008, Russia
Yury V. Shestopalov: Department of Electronics, Mathematics, and Natural Sciences, Faculty of Engineering and Sustainable Development, University of Gävle, SE 801 76 Gavle, Sweden

Mathematics, 2023, vol. 11, issue 9, 1-16

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.

Keywords: slot resonator; diffraction problem; Helmholtz equation; Fredholm property; infinite linear algebraic equation system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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