时域有限差分法仿真二维电磁波传播

摘要

时域有限差分(Finite-Difference Time-Domain,FDTD)法是一种主要的电磁场时域计算方法,已经广泛应用到各种电磁问题的分析之中。本文基于Matlab软件,采用时域有限差分法对二维TM波在空间的传播进行仿真。介绍时域有限差分法的基本原理,推导二维TM模Yee算法的FDTD表达式,阐述吸收边界条件PML(Perfectly Matched Layer)和数值稳定性条件等,并说明Matlab软件编程的基本方法。仿真结果说明FDTD法能很好地求解此类问题。%Finite-difference time-domain ( FDTD ) method, as a primary electromagnetic field calculation method in time domain,has applied to the analyses of various electromagnetic problems widely. This paper simulates the propagation of the 2D TM mode in space using the FDTD method based on Matlab. This paper also introduces the fundamental of FDTD method, deduces the FDTD expression of the 2D TM mode using Yee arithmetic, presents the Perfectly Matched Layer ( PML) and stability condition, and illuminates the basic programming method based on Matlab. The result shows that these problems can be well solved by FDTD.