时域积分方程MOT算法的推迟位时间卷积数值积分新方法.pdf

时域积分方程 MOT 算法的推迟位时间卷积数值积分新方法贾苗苗,赵延文,郑宇腾,蔡强明(电子科技大学电子工程学院,四川成都 611731) 摘 要: 通过变量代换平滑三角形上推迟位(标量位函数和矢量位函数)并消除推迟矢量位旋度的奇异性,使得采用数值积分法就能够精确快速地计算任意正则时间基函数与推迟位函数及推迟矢量位旋度之间的时间卷积运算,可用于基于任意类型时间基函数的时域电场、时域磁场及其混合场积分方程时间步进(MOT),该时间卷积数值积分方法能够精确快速地计算基于任意类型时间基函数和不同时间步长条件下时域积分方程 MOT 算法的阻抗矩阵元素;而具体的计算实例也表明,阻抗矩阵的精确计算显著地提升了时域积分方程 MOT : 时域积分方程;时间步进算法;后时不稳定性中图分类号: TN911畅23 文献标识码: A 文章编号: 0372-2112 (2015)01-0151-09电子学报 URL : http ://www .ejournal .org .cn DOI :10 .3969/j .issn .0372-2112 .2015 .01 .024A Novel Numerical Integration Method for Convolution with the Retarded Potentialsin Time-Domain Integral Equation MOT AlgorithmJIA Miao-miao ,ZHAO Yan-wen ,ZHENG Yu-teng ,CAI Qiang-ming(School of Electronic Engineering ,University of Electronic Science and Technology of China ,Chengdu ,Sichuan 611731 ,China)Abstract : A novel variable transformation is presented to smooth and eliminate the singularity of the retarded potential(scalar and vector potential) and the curl of the vector potential by variable substitution .So the convolution between any regulartime basis function and retarded potential (or its curl)can be calculated quickly and accurately using the numerical integrationmethod ,the advantage is that it can be used in the MOT algorithm of the time-domain field integral equations ,no matter how thetime basis functions are .Compared to