两步分裂步长时域有限差分法

A Two-Stages Split-Step Finite Difference Time Domain Method

提出一种新的两步分裂步长时域有限差分(TS-FDTD)法,该方法基于Split-Step方案和Crank-Nicolson方案,采用新的矩阵分解形式,与传统的FDTD算法、传统分裂步长时域有限差分法相比,减少计算复杂度,算法的推导简单,提高了计算精度。本文还加入一阶Mur吸收边界条件,给出一阶Mur吸收边界差分方程。最后,通过实例仿真,比较TS-FDTD、传统FDTD方法两种算法的仿真结果,验证了TSFDTD算法的可行性及其高精度性。

A new two-stages split-step finite difference time domain（TS-FDTD） method is presented. The method is based on split-step scheme and Crank-Nicolson scheme, which has the new splitting forms. Compared with the traditional FDTD method and the traditional split-step FDTD method, the proposed method reduces the computational complexity, has simpler procedure formulation, and improves the accuracy. The article also adds a first-order Mur absorbing boundary conditions, and gives the differential equations of a first-order Mur absorbing boundary conditions. Finally,the simulation results of the two algorithms of TS-FDTD and traditional FDTD method are compared to verify the feasibility and high accuracy of the TS-FDTD algorithm by example simulation.