中国激光, 2005, 32 (4): 511, 网络出版: 2006-06-01
一种修正的有限差分光束传播方法
An Modified Finite-Difference Beam Propagation Method
导波光学 修正的有限差分光束传播法 亥姆赫兹方程 泰勒展开 CN格式差分 guided wave optics modified finite-difference beam propagation metho Helmholtz equation Talor series expansion Crank-Nicholson scheme
摘要
对传统的有限差分光束传播法(FD-BPM)进行修正,通过对亥姆赫兹方程进行更准确的推导展开,提出一种修正后的新算法,并将新算法和传统算法应用于平板波导的计算实例,最后通过计算用来衡量算法精度的参量以及计算所花费的总体时间,将新算法与传统算法进行比较,验证了新算法在精度上有所提高,而计算时间并没有受到影响,有一定的实用价值。
Abstract
According to the more accurate Helmholtz equation, the conventional finite-difference beam propagation method (FD-BPM) is modified and a new algorithm is proposed. Compared with the old algorithm in calculation of slab waveguide, the calculated precision is improved without extending culculating time for the new algorithm
刘辛, 鲁平, 刘德明. 一种修正的有限差分光束传播方法[J]. 中国激光, 2005, 32(4): 511. 刘辛, 鲁平, 刘德明. An Modified Finite-Difference Beam Propagation Method[J]. Chinese Journal of Lasers, 2005, 32(4): 511.