中文摘要：

为有效地改善时间步进算法（MOT）的后时稳定性,引入类椭球波函数（APSWF）做为该算法的瞬态基函数.然而,基于此类瞬态基函数推导得到的系统具有非因果特性,因而必须使用外推方法以恢复时间步进算法的时间步进特性.采用所提出的方法对多天线结构进行数值仿真,获得其瞬态电流响应、回波损耗、耦合系数以及方向图等重要参数,实现了对天线辐射问题和互耦问题的分析与研究,同时也验证了本文所提出方法的有效性和精确性.

英文摘要：

In order to improve the late-time stability of the marching-on-in time （MOT） method, the approximate prolate spheroidal wave functions （APSWFs） are proposed and used as the temporal basis functions. Unfortunately, the system derived from these temporal basis functions is noncausal. To overcome this problem, the extrapolation scheme should be included to recover the possibility of time marching. Then,in the numerical simulations of multi antennas,several important parameters such as the Wansient surface current responses,return-loss,coupling coefficients, and directivities are obtained. Based on these parameters, the analysis of the radiation and mutual coupling problems is performed. Moreover, numerical results also demonstrate the efficiency and accuracy of the proposed method.