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快速多极子方法中角谱积分分析(英文)

Spatial Angle Quadrature in FMM
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摘要 从基本球面波函数的平面波展开式出发,分析了对空间角谱二维积分表达式中被积函数频谱特性,从采样定理的角度得出(2L,4L)的求积标准.比较了采用不同的求积方式得到的积分结果,并与球面波函数的准确值进行比较.对轴向平面电磁波照射的立方导体进行直接的矩量法(MOM)分析和不同求积点的FMM方法分析,比较两种方法计算得到的阻抗矩阵与入射向量相乘的结果.结果表明:用该求积方式得到结果与直接MOM方法的计算结果吻合. We analyze the integrand spectrum in the plane wave expansion of spherical functions, and present a standard of (2L, 4L) point quadrature for spatial angles satisfying the sampling theorem. Numerical results with the method of moments(MOM) and fast muhipole method(FMM) in different quadrature schemes are compared to show the validation of our quadrature scheme.
出处 《计算物理》 EI CSCD 北大核心 2006年第5期609-613,共5页 Chinese Journal of Computational Physics
基金 SupportedbytheChinaStateMajorBasicResearchProject(2001CB309401)andChinaNationalNaturalScienceFoundation(No.60571050)
关键词 快速多极子 频谱分析 角谱积分 fast muhipole method spectrum analysis spatial angle quadrature
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