时域电场积分方程后时不稳定性的一种改进方法  

Method for eliminating the instabilities in late times in the solution of the time-domain integral equation

作　　者：罗伟[1] 吴先良[1,2] 陈明生[2] 沙威[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039 [2]合肥师范学院物理与电子工程系,安徽合肥230061

出　　处：《合肥工业大学学报（自然科学版）》2009年第1期112-115,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60671051);安徽省高等学校省级自然科学重点资助项目(KJ2008A036&KJ2008A100)

摘　　要：针对时域积分方程算法在求解电磁散射问题时所产生的后时不稳定问题,文章提出了一种基于Padé逼近方法的时域响应的外推算法。提出以方差为标准检测不稳定性,通过早期响应获得一个关于时间变量的有理逼近函数,从而实现响应的外推;结合有理逼近的误差估计,在保证精度的前提下获得了精确时域解。In view of the late-time instability which occurrs when the time-domain integral equation （TDIE） is used to solve the electromagnetic scattering problems, an extrapolation algorithm based on the Pade approximation is proposed to obtain the time-domain response. A standard is put forward to detect the instability on the basis of variance theory. A rational function about time is obtained by the early response, which is used to get the accurate late-time response by extrapolation. The error of a rational approximation is also considered in determining the accuracy of the results, and accurate timedomain response is obtained.

关 键 词：Pade逼近算法 外推 方差 不稳定性 

分 类 号：TN011[电子电信—物理电子学]