摘要
本文首先应用变分原理推导了任意折射率剖面光纤的泛函表达式,并用有限元方法求解变分方程,得到该光纤问题的数值解.然后,利用微型计算机计算了光纤中导模的归一化截止频率、归一化径向相移常数、场模函数、群时延以及光纤的色散和带宽等参数.所得结果表明:本理论和计算机计算程序正确,并具有相当高的计算精度,足以满足工程使用的要求。例如,对均匀光纤,计算出的所有导模的归一化截止频率值的相对误差为10^(-3)10^(-5)。
In this paper we derive the functional formulation of optical fibers with arbitrary refractive index profile. Solving the variational equation by the finite element method, the numerical solution of optical fibers is obtained, and the normalized cut-off frequency,normalized radial phaseshift. constant, field-mode distribution,group delay time, dispersion,band-width and etc. in optical fibers are computed by microcomputer. The results show that the theory and algorithm,are,correct, they possess fairly exact calculated accuracy and it's enough satisfactory for engeneering use. For example,for a homogeneous optical fiber the computed relative error of normalized cutoff frequency for all guide-mode are between 10^(-3) and 10^(-5).
出处
《南京邮电学院学报》
北大核心
1992年第2期19-32,共14页
Journal of Nanjing University of Posts and Telecommunications(Natural Science)
关键词
光学纤维
传输特性
有限元法
Optical fiber
Transmission characteristics
Finite element methods
