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