FDTD(2,4)算法的数值色散特性及其在微带天线中的应用研究  

Numerical Dispersion of Higher-Order FDTD (2,4) and Applications to Microstrip Antenna

作　　者：陈晓梅[1] 杨雪霞[1] 徐得名[1] 

机构地区：[1]上海大学通信与信息工程学院,上海200072

出　　处：《上海大学学报（自然科学版）》2004年第2期111-114,共4页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金 (6 0 1 71 0 0 7)资助项目 ;上海市教委青年科学基金资助项目

摘　　要：该文研究了在时间上采用2阶差分、空间上采用4阶差分的高阶FDTD(2,4)数值方法,推导出其三维差分公式,并详细分析了其数值色散特性.另外,将PML吸收边界有效地应用于微带天线的计算,并与传统FDTD(2,2)数值结果进行了对比.结果证明高阶FDTD(2,4)算法能够有效减小数值色散和相速误差,而且可以降低对计算机内存的要求,减小计算量,适用的计算频段更高.A higher-order finite-difference time-domain (FDTD) scheme with fourth order in space is studied for the solution of the Maxwell equations in the time domain and the three dimensional fourth-order difference formulas are obtained. The numerical dispersion characteristics of the higher-order FDTD (2,4) are analyzed in detail. Perfectly matched layer (PML) is carried out effectively in the calculation of the microstrip antenna. Numerical results show that the higher-order FDTD (2,4) scheme can reduce numerical dispersion and phase velocity errors. Computation complexity and memory requirements can be reduced, and the frequency bands to be calculated are extended.

关 键 词：时域有限差分法 数值色散 数值相速 微带天线 PML吸收边界 

分 类 号：TN01[电子电信—物理电子学]