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采用有限差分法数值求解考虑了非线性系数后的标量波动方程,发现若令两次的nw迭代差值小于10-9以及对光纤径向迭代做足够多的分层时,则有限差分法具有较高的精确度,并且适用于任意折射率剖面光纤。同时通过计算发现在非线性条件下,光纤的色散值比线性条件下的偏大,即零色散点向短波长方向移动,而且发现波长越短,非线性效果越明显。最后给出了普通单模光纤中在非线性条件下的模拟结果。
The finite difference method is used to solve the scalar wave equation considering the nonlinear coefficient. It is found that if the difference between two iterations of nw is less than 10-9 and enough stratification is done for radial fiber iteration, the finite difference method has High accuracy, and suitable for any refractive index profile fiber. At the same time, it is found that under non-linear conditions, the dispersion value of optical fiber is larger than that under linear condition, that is, the zero-dispersion point moves to the short wavelength, and the shorter the wavelength, the more obvious the nonlinear effect is. Finally, the simulation results of ordinary single-mode optical fiber under non-linear conditions are given.