A regularized method of moments based on the modified fundamental solution of the Helmholtz equation is proposed in this article. The regularized method of moments uses the origin intensity factor technique which is free of mesh and integration to deal with the singularity at origin of the basis function. Thus, the time-consuming singular integration can be avoided. In addition, the non-uniqueness at internal resonance is also fixed using the constructed modified fundamental solution. In comparison with the traditional method of moments, the regularized method of moments can reduce the computational time by half, while the stability and accuracy stay about the same. Numerical experiments demonstrate that the regularized method of moments can accurately and efficiently compute the radar cross section of perfect conducting scatter in all frequency ranges.

本文提出了一种基于修正的亥姆霍兹方程基本解的矩量化方法。矩的正则化方法使用了没有网格和积分的原点强度因子技术来处理基函数原点的奇异性。因此，可以避免费时的单数集成。另外，内部共振的非唯一性也可以使用构造的修改后的基本解来解决。与传统的矩量法相比，常规矩量法可以将计算时间减少一半，而稳定性和准确性保持不变。