在分步傅里叶法求解非线性薛定谔方程的基础上，介绍了一种时间窗口和步长动态自适应调整的改进算法，该算法根据时域脉冲的扩散情况调整时间窗口，采用局部误差法控制计算步长，在保证精度的同时提高了计算效率。讨论了数值计算时如何正确选取正、逆傅里叶变换的形式，分析了如何由离散的计算结果近似连续的时域和频域波形。模拟了光子晶体光纤中超连续谱的产生，验证了算法的正确性。

A dynamic and adaptable method for choosing the time window and step size is given, based on the split-step Fourier method for solving the nonlinear Schrdinger equation. In this method, the time window is adjusted based on the diffusion of input pulse, and the step size is controlled by using a measure of the local error. This method has a high accuracy, which is most efficient for the improvement of calculation efficiency. How to choose positive and negative Fourier transformation forms during the calculation process is discussed, and how to get the approximate continuum waves in the time and frequency domain from the discrete results is analyzed. Supercontinuum generation in a high-nonlinearity photonic crystal fiber is investigated numerically, which validates the correctness of the calculation method.