Finite-difference vectorial-beam-propagation method using Yee’s discretization scheme for modal fields
Finite-difference vectorial-beam-propagation method using Yee’s discretization scheme for modal fields
复制标题
使用 Yee 模态场离散化方案的有限差分矢量光束传播方法
DOI：
10.1364/josaa.13.001369
复制
发表时间：
1996
影响因子：
1.9
通讯作者：
S. M. Lee
中科院分区：
文献类型：
--
作者：
S. M. Lee
一种新的有限差分矢量光束传播法使用Yee的网格被证明是一个简单，有效的，和通用的方法来分析具有任意横截面的波导结构的模式特性。该方法是从直接离散麦克斯韦方程与使用Yee的网格。冯·诺依曼稳定性分析表明，存在波前沿沿着虚波导轴传播的稳定区域。这种直接传播方法在CPU时间和存储器要求方面是有效的。从而有效地同时求出了变截面波导的传播常数及其相应的矢量模场分布。结果与出版的结果，使用解析或数值方法的几个波导显示。
A novel finite-difference vectorial-beam-propagation method using Yee’s mesh is demonstrated to be a simple, efficient, and versatile method to analyze the modal characteristics of waveguide structures with arbitrary cross section. The method is derived from directly discretizing Maxwell’s equations with the use of Yee’s mesh. A von Neumann stability analysis indicates that there is a stable region for the wave front to propagate along the imaginary waveguide axis. Such a direct propagation method is efficient in terms of CPU time and memory requirements. Therefore the propagation constants and their corresponding vectorial-modal-field distributions for waveguides of variable cross sections are obtained efficiently and simultaneously. Results in close agreement with published results using either analytic or numerical methods for several waveguides are shown.