任意折射率分布光纤的一种有效的近似分析方法

An Efficient Approximate Analytical Method of Optical Fiber Having an Arbitrary Index Profile

本文讨论了一种任意折射率分布光纤的有效的数值分析方法。光纤折射率分布被多层结构所模拟，矢量波动方程用矩阵来代替，传播常数用４×４矩阵的选代相乘来计算。若光纤的折射率变化是缓慢的，可以进一步简化成２×２矩阵的简单运算。

An efficient numerical method for the optical fiber with an arbitrary index distribution is given in this paper. The index profile of fiber is simulated by a multi-layer structure, and the vectorial wave equation is replaced with the matrices. The propagation constant is calculated by using iterative multiplication of four by four materices. The further reduced compunction of two by two matrices may be obtained for the fiber with small index difference.