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本文结合Ｚ－变换对常规的时域有限差分法（ＦＤＴＤ）进行了修正，建立了一种新的Ｎ阶色散媒质瞬态特性的时域分析方法，使ＦＤＴＤ能分析和处理与频率有关的电磁场问题，具有方法简洁、易实现等优点．为验证此方法的有效性和可靠性，对Ｎ阶色散媒质的反射系数进行了分析与计算，并与解析结果进行了比较，证明了方法的正确性．同时，采用此时域方法对瞬变电磁波在Ｎ阶色散媒质中的瞬态传播特性进行了分析与讨论．
In this paper, the conventional finite-difference time-domain method (FDTD) is modified by Z-transform, and a new time-domain analysis method of transient characteristics of N-th dispersion medium is established. FDTD can analyze and process the frequency-dependent electromagnetic fields Problems, with a simple method, easy to implement and so on. In order to verify the validity and reliability of this method, the reflection coefficients of N-order dispersion media are analyzed and calculated, and compared with the analytical results to prove the correctness of the method. At the same time, the transient propagation characteristics of transient electromagnetic waves in N-th dispersion medium are analyzed and discussed using this time-domain method.