一种高效的色散介质通用时域有限差分方法

提出一种改进的色散介质通用半解析递归卷积时域有限差分(SARC-FDTD)方法;该方法在保持原算法高精度、高稳定性、使用简便等优点的基础上,进一步简化了时域更新公式,以更少的计算量和内存占用,实现了原算法的计算精度。同时,算法的适用范围进一步被扩展到极点-留数(PR)和临界点(CP)模型。最后,将算法应用于高阶Debye、Lorentz以及DrudeCP介质中的反射特性研究,验证了其有效性。

An efficient Finite-Difference Time-Domain method for general dispersive medium

An efficient Finite-Difference Time-Domain (FDTD) method for general dispersion medium is presented based on the semi-analytical recursive (SARC) algorithm. In this method, the advantages of high accuracy, absolute stability, good versatility and ease to use in the original SARC-FDTD method is retained, while the time-domain update formula is improved such that the accuracy of original algorithm is achieved with the reduced calculate complexity and memory requirements. Meanwhile, the application scope of this algorithm is expanded to Pole-Residue model and Critical Points model. Finally, the algorithm is applied to analysis of reflection characteristic of high-order Debye, high-Lorentz and Drude-CP slab to demonstrate the feasibility of the presented scheme.