An Efficient Multilevel Fast Multipole Algorithm to Solve Volume Integral Equation for Arbitrary Inhomogeneous Bi-Anisotropic Objects

被引:3
|
作者
Liu, Jinbo [1 ]
Li, Zengrui [1 ]
Luo, Limei [1 ]
Song, Jiming [2 ]
机构
[1] Commun Univ China, Sch Informat & Commun Engn, Beijing 100024, Peoples R China
[2] Iowa State Univ, Dept Elect & Comp Engn, Ames, IA 50011 USA
基金
中国国家自然科学基金;
关键词
Bi-anisotropy; method of moments (MoM); multilevel fast multipole algorithm (MLFMA); spherical harmonics expansion; volume integral equation (VIE); SPHERICAL-HARMONICS EXPANSION; ELECTROMAGNETIC SCATTERING;
D O I
10.1109/ACCESS.2019.2941257
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A volume integral equation (VIE) based on the mixed-potential representation is presented to analyze the electromagnetic scattering from objects involving inhomogeneous bi-anisotropic materials. By discretizing the objects using tetrahedrons on which the commonly used Schaubert-Wilton-Glisson (SWG) basis functions are defined, the matrix equation is derived using the method of moments (MoM) combined with the Galerkin's testing. Further, adopting an integral strategy of tetrahedron-to-tetrahedron scheme, the multilevel fast multipole algorithm (MLFMA) is proposed to accelerate the iterative solution, which is further improved by using the spherical harmonics expansion with a faster implementation and low memory requirement. The memory requirement of the radiation patterns of basis functions in the proposed MLFMA is several times less than that in the conventional MLFMA.
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页码:135780 / 135789
页数:10
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