多包层光纤色散的数值解法

Numerical solution of multi-clad fiber dispersion

采用了等效折射率法数值求解多包层光纤的色散。文章先给出了光纤色散与光纤传播常数及等效折射率的关系。通过将多包层光纤等效为阶跃光纤,求等效阶跃光纤的传播常数与等效折射率,求得多包层光纤的色散。在理论分析的基础上,运用计算机迭代的方法编程求解方程组,求出光纤的传播常数,数值求解多包层光纤的色散。最后,以求4层(3包层)圆对称均匀色散平坦光纤的色散为例作了部分验证。

Dispersion of multi-clad fiber is solved with equivalent refractive index in this paper. First, the relation between the dispersion of the fiber and the propagation constant and equivalent refractive index is presented. Then, the dispersion of the multi-clad fiber is obtained by solving the propagation constant and the equivalent refractive index of single-clad fiber which is equal to multi-clad fiber. On this basis, the propagation constant is obtained by solving coupled equations with computer iteration, and dispersion of the multi-clad fiber is solved using curve mimesis and differential numerical method. Finally, as an example, the dispersion of triple-clad dispersion-flattened fiber is solved by this method,