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Fast High-Order Algorithms for Electromagnetic Scattering Problem from Finite Array of Cavities in TE Case with High Wave Numbers

Author

Listed:
  • Meiling Zhao

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071000, China
    These authors contributed equally to this work.)

  • Jiahui He

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071000, China
    These authors contributed equally to this work.)

  • Na Zhu

    (School of Mathematics, Shandong University, Jinan 250100, China
    These authors contributed equally to this work.)

Abstract

In this paper, fast high-order finite difference algorithms for solving the electromagnetic scattering from the finite array of two-dimensional rectangular cavities are proposed in TE polarization. The scattering problem from the cavity array is described as coupled Helmholtz equations with transparent boundary conditions on open apertures. Second-order and fourth-order schemes for solving the coupled systems are developed in TE polarization respectively. A special technique is applied to construct a fourth-order scheme for transparent boundary conditions. Further, we propose fast algorithms which can simplify the larger global system to a small linear interface system on the apertures of cavities. Numerical experiments show the validity and efficiency of the proposed fast algorithms for solving the scattering problem with high wave numbers.

Suggested Citation

  • Meiling Zhao & Jiahui He & Na Zhu, 2022. "Fast High-Order Algorithms for Electromagnetic Scattering Problem from Finite Array of Cavities in TE Case with High Wave Numbers," Mathematics, MDPI, vol. 10(16), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2937-:d:888503
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