摘 要: 针对预修正快速傅里叶变换(P-FFT)方法的近场矩阵填充速度和效率不高的问题,利用快速填充技术减少近场矩阵的计算时间,分析电大目标的电磁特性。采用预修正快速傅里叶变换方法,不仅能够减少存储需求,而且能够加快远场的矩阵矢量积。重点研究了基于三角形配对的快速填充方法,通过提取基函数测试配对积分过程中的共享积分部分,对近场矩阵元素进行填充,提高了计算效率。数值结果表明,基于三角形配对的预修正快速傅里叶变换方法可以减少近场部分的计算时间,从而提高算法的效率。 |
关键词: 矩量法;预修正快速傅里叶变换方法;电磁散射;近场矩阵 |
中图分类号: TP311
文献标识码: A
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基金项目: 江苏省高校自然科学研究项目(19KJB510061);大学生创新创业训练项目(2020022,2021367). |
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Research on Analyzing Electromagnetic Scattering Problems of Targets by P-FFT based on Matrix Fast Filling |
ZHU Jinxin, ZHENG Yongtao, KONG Weibin, BI Aoran
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(School of Information Technology, Yancheng Institute of Technology, Yancheng 224051, China)
zjx@ycit.edu.cn; 1789147061@qq.com; kongweibin2007@sina.com; 192977030@qq.com
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Abstract: Aiming at the low filling speed efficiency of the near-field matrix in the P-FFT (Pre-corrected Fast Fourier Transform) method, this paper proposes to use fast filling technique to reduce calculation time of the near-field matrix, which is used to analyze the electromagnetic characteristics of the electrically large target. The P-FFT method not only reduces storage requirements, but also speeds up the far-field matrix-vector product. The fast filling method based on triangle pairing is mainly studied. By extracting the shared integral part of the paired integration process of the basis function test, the nearfield matrix elements are filled and the calculation efficiency is improved. Numerical results show that the P-FFT method based on triangle pairing can reduce the computation time of the near-field part, thereby improving the efficiency of the algorithm. |
Keywords: method of moment; pre-corrected fast Fourier transform method; electromagnetic scattering; near-field matrix |