期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 437, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110331
关键词
Electromagnetic scattering problem; Maxwell's equations; Open cavity; Fast algorithm
资金
- NSFC [12001086, 11771057, 11871427]
- Funds for Creative Research Groups of NSFC [11621101]
- NSF [DMS-1912704]
This paper investigates the three-dimensional electromagnetic scattering from a large open rectangular cavity embedded in a perfectly electrically conducting infinite ground plane. By introducing a transparent boundary condition and utilizing a fast algorithm involving fast Fourier transform and Gaussian elimination, the paper solves the linear system for cavities filled with either a homogeneous or layered medium, demonstrating superior performance in numerical experiments.
The paper is concerned with the three-dimensional electromagnetic scattering from a large open rectangular cavity that is embedded in a perfectly electrically conducting infinite ground plane. By introducing a transparent boundary condition, the scattering problem is formulated into a boundary value problem in the bounded cavity. Based on the Fourier expansions of the electric field, the Maxwell equation is reduced to one-dimensional ordinary differential equations for the Fourier coefficients. A fast algorithm, employing the fast Fourier transform and the Gaussian elimination, is developed to solve the resulting linear system for the cavity which is filled with either a homogeneous or a layered medium. In addition, a novel scheme is designed to evaluate rapidly and accurately the Fourier transform of singular integrals. Numerical experiments are presented for large cavities to demonstrate the superior performance of the proposed method. (C) 2021 Elsevier Inc. All rights reserved.
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