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Fast Solution of Electromagnetic Scattering from Dielectric Objects via the Modified SVD-CBFM

机译:通过改进的SVD-CBFM快速解决介电物体的电磁散射

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A fast solution is proposed to efficiently analyze electromagnetic scattering from dielectric objects via the modified characteristic basis function method based on singular value decomposition (SVD-CBFM). The conventional SVD-CBFM applies the SVD to the original CBFs for the purpose of removing the redundancy. However, this process wastes much unnecessary CPU time on the matrix solution associated with the redundancy. In this paper, the adaptive cross approximation-singular value decomposition (ACA-SVD) replacing the SVD is adopted to improve the generation of CBFs by eliminating the excitation-vectors redundancy in advance, which remarkably reduces the CPU time for generating CBFs with negligible loss of accuracy. The validity of the proposed method is illustrated with the systematic analysis of electromagnetic scattering from dielectric objects, numerical results are given to demonstrate its efficiency and accuracy.
机译:提出了一种快速的解决方案,通过基于奇异值分解(SVD-CBFM)的改进的特征基函数方法,有效地分析了来自介质对象的电磁散射。常规的SVD-CBFM将SVD应用于原始CBF,以消除冗余。但是,此过程在与冗余相关的矩阵解决方案上浪费了很多不必要的CPU时间。本文采用自适应交叉逼近奇异值分解(ACA-SVD)代替SVD,通过提前消除激励矢量冗余来改善CBF的生成,从而显着减少了生成损耗可忽略的CBF的CPU时间准确性。通过对电介质物体电磁散射的系统分析,说明了该方法的有效性,数值结果表明了该方法的有效性和准确性。

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