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Fast Solution for Large Scale Electromagnetic Scattering Problems Using Wavelet Transform and Its Precondition

Xing-Chang Wei,

Dr. Xing-Chang Wei

Computational Electronics and Photonics

Institute of High Performance Computing

Singapore 138632

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Er Ping Li

Professor Er Ping Li

Institute of High Performance Computing

National University of Singapore

Singapore, 117528

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, Vol. 38, 253-267, 2002

doi:10.2528/PIER02042602 | Google Scholar

Abstract

Nowadays, electrically large complex electromagnetic problems exist in modern defence and communication industry. Accurate and efficient calculation for such electromagnetic radiation and scattering is a high computational complex task and a challenge to conventional electromagnetic solvers such as Method of Moment (MOM) where high memory and long computational time are required owing to its large size compared to operating wavelength. This paper presents the fast solution method with wavelet transform in the computation of scattering from large scale complex objects. Because of the vanishing moments, the moment matrices arising in these problems are sparsified by wavelet, and consequently, the induced current and equivalent magnetic current can be obtained quickly. Moreover, a precondition method is postulated and implemented in the fast solution of the transformed moment matrix equation with iteration methods.

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Xing-Chang Wei, and Er Ping Li, "Fast Solution for Large Scale Electromagnetic Scattering Problems Using Wavelet Transform and Its Precondition," , Vol. 38, 253-267, 2002.
doi:10.2528/PIER02042602

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