计算RWG基函数阻抗矩阵的混合积分方法

电磁散射与辐射问题通常采用电场积分方程(EFIE)结合矩量法(MoM)求解,而基函数是决定矩量法精度和效率的重要因素。RWG(rao-wilton-gisson)矢量基函数广泛应用于EFIE矩量法的求解,其中基于RWG基函数阻抗矩阵的计算是求解的关键。计算阻抗矩阵的方法有多种,本文提出一种更为精确和有效的方法,该方法对于积分中非奇异积分项采用9点积分、奇异项采用势积分计算的混合方法,提高了计算精度并消除了被积函数的奇异性。通过实例计算证明这种方法是可行的。

Mixed integral method of impedance matrix with RWG basis functions

The scattering and radiation prediction are often treated with EFIE MoM,where basis functions is one of the important factors affecting the accuracy and efficiency of the method.The RWG(Rao-Wilton-Gisson)vector basis functions are widely applied in EFIE MoM,and the calculation based on the RWG basis functions is the key to solving.Computing impedance matrix have many methods.More accurate and efficient method is presented.This method improves the computational accuracy and removes the singularity in the integrand by adopting nine-point integration to non-singular integrals and potential integration to singular integrals.Several examples are given to testify the efficient of the presented method.