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Analysis of electromagnetic scattering from perfect electric conducting targets using improved characteristic basis function method and fast dipole method

机译:改进的特征基函数法和快速偶极子法分析完美导电目标的电磁散射

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摘要

The characteristic basis function method (CBFM) is an efficient approach to analyze electromagnetic problems through the size reduction of the original matrix in the method of moments equation. However, adequate plane waves (PWs) must be set in each sub-block to construct characteristic basis functions (CBFs), thus increasing the number of CBFs and causing higher time consumption in singular value decomposition. In addition, the reduced matrix calculation procedure is time-consuming because numerous vector-matrix-vector products (VMVPs) are contained. To mitigate these problems, an improved CBFM is presented. This method fully considers the mutual coupling effects among sub-blocks to obtain the secondary level characteristic basis function (SCBF). Therefore, the number of PWs, as well as the number of CBFs, is significantly reduced. The fast dipole method is also used to accelerate the matrix-vector products in the construction of SCBFs and VMVPs in the calculation of the reduced matrix. Numerical results demonstrate that the proposed method is accurate and efficient.
机译:特征基函数方法(CBFM)是通过矩量方程方法通过减小原始矩阵的大小来分析电磁问题的有效方法。但是,必须在每个子块中设置足够的平面波(PW),以构造特征基函数(CBF),从而增加了CBF的数量,并导致奇异值分解的时间消耗增加。此外,简化的矩阵计算过程非常耗时,因为其中包含许多矢量矩阵矢量积(VMVP)。为了减轻这些问题,提出了一种改进的CBFM。该方法充分考虑了子块之间的相互耦合效应,以获得次级水平特征基函数(SCBF)。因此,PW的数量以及CBF的数量都大大减少了。快速偶极子方法还用于在简化矩阵的计算中加快SCBF和VMVP的构造中的矩阵向​​量乘积。数值结果表明,该方法准确有效。

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