2003Unpublished venueRequires access

Two-region model for the fast implementation of the method of moments [computational electromagnetics]

Tie Jun Cui, Weibing Lu, Wei Hong, Zhang‐Cheng Hao, Zhiguo Qian

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Abstract

The method of moments (MOM) has found wide applications in a variety of electromagnetic radiation and scattering problems. However, the the conventional MOM is very computationally expensive when handling large-scale problems with a large number of unknowns. In this paper, a two-region model is proposed for the fast implementation of MOM. Based on an accurate analysis, different orders of approximation are obtained to solve the MOM problem in a smaller region, where the first-order approximation looks similar to the improved physical optics-MOM formulation, but the new formulation gives better physical explanations. Numerical results validate the proposed model.

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What this paper is about

The method of moments (MOM) has found wide applications in a variety of electromagnetic radiation and scattering problems. However, the the conventional MOM is very computationally expensive when handling large-scale problems with a large number of unknowns. In this paper, a two-region model is proposed for the fast implementation of MOM. Based on an accurate analysis, different orders of approximation are obtained to solve the MOM problem in a smaller region, where the first-order approximation looks similar to the improved physical optics-MOM formulation, but the new formulation gives better physical explanations. Numerical results validate the proposed model.

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Available abstract

The method of moments (MOM) has found wide applications in a variety of electromagnetic radiation and scattering problems. However, the the conventional MOM is very computationally expensive when handling large-scale problems with a large number of unknowns. In this paper, a two-region model is proposed for the fast implementation of MOM. Based on an accurate analysis, different orders of approximation are obtained to solve the MOM problem in a smaller region, where the first-order approximation looks similar to the improved physical optics-MOM formulation, but the new formulation gives better physical explanations. Numerical results validate the proposed model.

Key concepts: Method of moments (probability theory), Computational electromagnetics, Physical optics, Electromagnetics, Computer science, Mathematical optimization, Approximation theory, Applied mathematics

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