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使用矩量法把电磁散射问题的体-面结合积分方程(VSIE)、面积分方程(SIE)和体积分方程(VIE)转换成线性方程组,并利用预修正快速傅里叶变换(P-FFT)方法来进行快速求解.针对传统模板拓扑存在的不足,提出两种模板拓扑改进方案即模板拓扑B和模板拓扑C,并比较三种模板拓扑的构造方法和实际性能.数值仿真表明,结合三种模板的P-FFT算法结果与标准解吻合得很好,所提出模板拓扑B可以显著减小近区预修正操作的次数,而模板拓扑C由于各模板之间没有重叠网格,具有适用于并行分层P-FFT算法的潜力.
Using the method of moment, the VSIE, the area integral equation (SIE) and the volume integral equation (VIE) are transformed into the linear equations by using the method of the pre-correction Fast Fourier Transform (P- FFT) to solve the shortcomings of traditional template topology.Two kinds of template topology optimization schemes, namely template topology B and template topology C, are proposed to overcome the shortcomings of the traditional template topology, and the construction methods and the actual performance of the three template topologies are compared.The numerical simulation shows that the combination The P-FFT results of the three templates are in good agreement with the standard solution. The proposed template topology B can significantly reduce the number of pre-rectification operations in the near-field, while the template topology C has the following advantages Potential for parallel hierarchical P-FFT algorithm.