基于半解析递归卷积的通用色散介质FDTD方法

基于数字信号处理中的半解析递归卷积（SARC）算法，提出了一种用于色散介质电磁特性分析的半解析递归卷积时域有限差分方法（SARC FDTD）. 该方法既保持了FDTD方法处理复杂目标的灵活性，又吸取了线性系统SARC算法的绝对稳定性和高精度、低内存、高效率等优点，只需给出色散介质模型的极点和对应系数，即可运用SARC FDTD递推公式和通用程序进行计算，具有较好的通用性. 通过Debye，Drude和Lorentz三种常用色散介质模型对算法进行了验证. 关键词： 时域有限差分 色散介质 半解析递归卷积

An FDTD combined with semi-analytical recursive convolution algorithm for the analysis of general dispersive media

A novel finite-difference time-domain （FDTD） method combined with the semi-analytical recursive convolution （SARC） algorithm in DSP techniques for the analysis of electromagnetic characteristics in dispersive media is presented. In this method, the flexibility of FDTD in dealing with complicated objects is retained, while the advantages of absolute stability, high accuracy, low storage and high effectiveness of SARC in treating the linear system problem is introduced. The proposed SARC FDTD approach can therefore be applied to the analysis of general dispersive media provided the poles and corresponding coefficients in the dispersive medium model of interest are given. Three typical kinds of dispersive model, i.e. Debye, Drude and Lorentz medium are tested to demonstrate the feasibility of the present scheme.