基于传播子技术的辛FDTD方法  

Scheme of Symplectic FDTD Using Propagation Technique

作　　者：黄志祥[1] 吴先良[1] 陈明生[1] 沙威[1] 况晓静[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,合肥230039

出　　处：《系统仿真学报》2009年第9期2521-2523,2526,共4页Journal of System Simulation

基　　金：国家自然科学基金(60671051);高校博士点基金(20060357004);安徽省教育厅重点项目(KJ2008A100&KJ2008A036)

摘　　要：数值求解三维时域Maxwell方程的过程中,保持方程的内在结构显得尤为重要。利用Hamilton函数的变分形式,首次将Maxwell方程表述为Hamilton正则方程形式。在时间方向上,借助辛传播子技术对方程进行离散以保持方程的内在结构;在空间方向上,采用四阶精度的有限差分格式对三维旋度算符进行差分离散,建立了求解Maxwell方程的辛时域有限差分(S-FDTD)方法。对S-FDTD方法的稳定性及数值色散性进行了系统的探讨,数值结果表明该方法的正确性及高精度性。It is especially important to preserve some characters of the original system in numerical simulating three-dimensional time domain Maxwell＇s Equations. The Maxwell＇s equations were written as normal Hamilton equations using functional variation method. Maxwell＇s equations in the time direction were discretized using sympletic propagation technique and then the equations in the spatial direction with fourth-order finite difference approximations were evaluated to construct symplectic finite difference time domain （S-FDTD） scheme. The stability and numerical dispersion analysis were included. Numerical results show the high efficiency and accuracy of the S-FDTD scheme.

关 键 词：传播子技术 辛时域有限差分 稳定性 数值色散性 

分 类 号：TN252[电子电信—物理电子学]