A fast high order method for electromagnetic scattering by large open cavities

Meiling Zhao*, Zhonghua QIAO, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

In this paper, the electromagnetic scattering from a rectangular large open cavity embedded in an infinite ground plane is studied. By introducing a nonlocal artificial boundary condition, the scattering problem from the open cavity is reduced to a bounded domain problem. A compact fourth order finite difference scheme is then proposed to discrete the cavity scattering model in the rectangular domain, and a special treatment is enforced to approximate the boundary condition, which makes truncation errors reach Ο(h4) in the whole computational domain. A fast algorithm, exploiting the discrete Fourier transformation in the horizontal and a Gaussian elimination in the vertical direction, is employed, which reduces the discrete system to a much smaller interface system. An effective preconditioner is presented for the BICGstab iterative solver to solve this interface system. Numerical results demonstrate the remarkable accuracy and efficiency of the proposed method. In particular, it can be used to solve the cavity model for the large wave number up to 600π.

Original languageEnglish
Pages (from-to)287-304
Number of pages18
JournalJournal of Computational Mathematics
Volume29
Issue number3
DOIs
Publication statusPublished - May 2011

Scopus Subject Areas

  • Computational Mathematics

User-Defined Keywords

  • Compact finite difference scheme
  • Electromagnetic cavity
  • FFT
  • Preconditioning

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