Direct solution of electromagnetic scattering from perfect electric conducting targets by combing characteristic basis function method and hybrid ACA-FDM method

Wenyan Nie; Zhonggen Wang; Jie Zhu

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Direct solution of electromagnetic scattering from perfect electric conducting targets by combing characteristic basis function method and hybrid ACA-FDM method

机译：结合特征基函数方法和混合ACA-FDM方法直接求解完美导电目标的电磁散射

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摘要

The hybrid adaptive cross approximation (ACA) algorithm with fast dipole method (FDM) (ACA-FDM) combines characteristic basis function method (CBFM) to solve the electromagnetic scattering from perfect electric conducting targets is presented in this paper. In the conventional FDM-CBFM, the FDM is employed to reduce the complexity of matrix-vector products (MVPs) and vector-matrix-vector products (VMVPs) between the far-group pairs, but the calculation of submatrices related to the interactions of the near-group pairs is increased when the criterion for the far-group pairs becomes stricter in order to obtain relatively high accurate solutions. To mitigate this problem, the ACA algorithm is employed to deal with the near-group pairs. Compared with the conventional FDM-CBFM, the submatrices related to the interactions of the near-group pairs are efficiently compressed by the ACA, so it can efficiently calculate the MVPs and VMVPs between the near-group pairs. Numerical results are given to demonstrate the efficiency and accuracy of the ACA-FDM-CBFM.

机译：本文提出了一种结合快速偶极子方法（FDM）（ACA-FDM）的混合自适应交叉逼近（ACA）算法，结合特征基函数方法（CBFM）来解决来自理想导电目标的电磁散射。在传统的FDM-CBFM中，FDM用于降低远组对之间的矩阵向量乘积（MVP）和向量矩阵向量乘积（VMVP）的复杂性，但是子矩阵的计算与MFP的相互作用有关。当远组对的标准变得更严格时，近组对会增加，以便获得相对较高的准确解。为了减轻这个问题，ACA算法被用来处理近群对。与传统的FDM-CBFM相比，ACA有效压缩了与近群对相互作用相关的子矩阵，因此可以有效地计算近群对之间的MVP和VMVP。数值结果表明了ACA-FDM-CBFM的效率和准确性。

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来源
《Journal of Computational Methods in Sciences and Engineering》 |2016年第4期|847-854|共8页
作者
Wenyan Nie; Zhonggen Wang; Jie Zhu;
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作者单位

College of Mechanical and Electrical Engineering, Huainan Normal University, Huainan, Anhui,China;

College of Electrical and Information Engineering, Anhui University of Science and Technology,Huainan, Anhui, China;

College of Mechanical and Electrical Engineering, Huainan Normal University, Huainan, Anhui,China;

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正文语种 eng
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Characteristic basis function method (CBFM); adaptive cross approximation (ACA); fast dipole method (FDM); electromagnetic scattering;

机译：特征基函数法（CBFM）;自适应交叉逼近（ACA）;快速偶极子法（FDM）;电磁散射;

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1. Direct solution of electromagnetic scattering from perfect electric conducting targets using multilevel characteristic basis function method with adaptive cross approximation algorithm [J] . Chen X., Gu C., Ding J., Microwaves, Antennas & Propagation, IET . 2013,第3期

机译：使用自适应交叉逼近算法的多级特征基函数方法直接求解完美导电目标的电磁散射
2. A hybrid fast dipole method and adaptive modified characteristic basis function method for electromagnetic scattering from perfect electric conducting targets [J] . Chen X., Niu Z., Li Z., Journal of Electromagnetic Waves and Applications . 2011,第14a15期

机译：混合快速偶极子方法和自适应修正特征基函数方法对来自理想导电目标的电磁散射
3. Analysis of electromagnetic scattering from perfect electric conducting targets using improved characteristic basis function method and fast dipole method [J] . ZhongGen Wang, YuFa Sun, GuoHua Wang Journal of Electromagnetic Waves and Applications . 2014,第7期

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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Direct solution of electromagnetic scattering from perfect electric conducting targets by combing characteristic basis function method and hybrid ACA-FDM method

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