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应用快速多极子方法(FMM)直接计算宽角度电磁散射问题时,需要对每一个入射角度迭代求解,计算量较大,效率较低。基于快速多极子方法中聚合、转移和发散过程与电磁波入射方向的无关性,将压缩感知理论(CS)引入并构建富含空间信息的新型激励源,仅由远小于入射角度数目的几次快速多极子计算,即可获得感应电流的观测值,近而恢复出所有入射角度下的激励电流。与传统矩量法结合压缩感知理论方法相比,该方法的计算精度较高,并且计算时间大幅减少。
When using the fast multipole method (FMM) to directly calculate the problem of wide-angle electromagnetic scattering, each incident angle needs to be iteratively solved, which requires a large amount of computation and low efficiency. Based on the irrelevance of the convergence, transfer and divergence processes in the fast multipole method and the incident direction of the electromagnetic wave, CS (Compressive Sensing Theory) is introduced and a new excitation source rich in spatial information is constructed, only by a few times smaller than the incident angle Fast multipole calculation, you can get the observed value of the induced current, near and recover all the incident angle of the excitation current. Compared with the traditional method of moment theory and compressive sensing, this method has higher computational accuracy and less computation time.