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TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder

Author

Listed:
  • 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
    These authors contributed equally to this work.)

  • Yury V. Shestopalov

    (Department of Electronics, Mathematics, and Natural Sciences, Faculty of Engineering and Sustainable Development, University of Gävle, SE 801 76 Gavle, Sweden
    Russian Technological University MIREA, Moscow 119454, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Garnik V. Abgaryan & Yury V. Shestopalov, 2023. "TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder," Mathematics, MDPI, vol. 11(9), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:1991-:d:1130733
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    References listed on IDEAS

    as
    1. Ludovica Tognolatti & Cristina Ponti & Massimo Santarsiero & Giuseppe Schettini, 2022. "An Efficient Computational Technique for the Electromagnetic Scattering by Prolate Spheroids," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
    2. Eleni Stefanidou & Panayiotis Vafeas & Foteini Kariotou, 2021. "An Analytical Method of Electromagnetic Wave Scattering by a Highly Conductive Sphere in a Lossless Medium with Low-Frequency Dipolar Excitation," Mathematics, MDPI, vol. 9(24), pages 1-24, December.
    Full references (including those not matched with items on IDEAS)

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