色散媒质中采用Z变换的ADI-FDTD方法  

ADI-FDTD Method for Dispersive Media Using the Z Transform

作　　者：徐利军[1] 王禹[1] 袁乃昌[1] 

机构地区：[1]国防科技大学电子科学与工程学院,长沙410073

出　　处：《微波学报》2005年第4期20-22,共3页Journal of Microwaves

摘　　要：基于Z变换方法将AD I-FDTD推广应用于色散媒质,得到了二维情况下色散媒质中的迭代差分公式,同时给出了一种采用IIR滤波器结构来减少存储量的方法。本文方法适合于任意M阶色散媒质,最后,给出了一个算例,数据仿真结果表明,本文的算法与传统色散媒质中的FDTD相比,在计算结果吻合的情况下,存储量相当,计算效率却更高,时间步长仅仅由计算精度来决定。The unconditionally stable ahernating-direction-implicit-finite-difference-time-domain（ADI-FDTD） method is extended to dispersive media based on the Z-transform method. Two-dimensional ADI-FDTD formulations for dispersive media are derived. And the same time, a method based infinite-impulse response digital filter（IIR） is presented to reduce memory requirements. The proposed method is applicable to arbitrary M-order dispersive media. Finally, an example is calculated, the numerical result of ADI-FDTD for dispersive media is in good agreement with the result obtained by conventional FDTD method, but compared with conventional FDTD method, the proposed method is more efficient without requiring additional memory.

关 键 词：交替方向隐式时域有限差分方法 Z变换 色散媒质 ADI-FDTD方法 IIR滤波器 变换方法 仿真结果 计算结果 计算效率 计算精度 

分 类 号：O411.1[理学—理论物理]