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在传统求解广义非线性薛定谔方程 (GNSE)分步傅里叶方法的基础上 ,提出了利用自适应分步傅里叶方法(ASSFM)求解GNSE .数值模拟发现 :在发生显著孤子峰值频移且微结构光纤的色散和非线性参数随频率显著变化的情况下 ,采用ASSFM对超短脉冲在光纤中传输进行模拟是很必要的 ,微结构光纤色散特性对超短脉冲在微结构光纤中的演化以及超连续光谱展宽有很大影响 .ASSFM可以合理地考虑到微结构光纤特性参数随脉冲演化过程中峰值功率所对应波长 (或频率 )的变化 ,从而更精确地模拟超短脉冲在微结构光纤中的传输 .
Based on the traditional method of solving generalized nonlinear Schrodinger equation (GNSE) step-by-step Fourier method, the method of adaptive step-by-step Fourier method (ASSFM) is proposed to solve GNSE.Numerical simulation shows that when a significant soliton peak frequency shift It is necessary to simulate the propagation of ultrashort pulse in optical fiber by using the ASSFM when the dispersion and nonlinear parameters of the microstructured fiber vary significantly with the frequency. The dispersion of the microstructured fiber is critical to the evolution of the ultrashort pulse in the microstructured fiber As well as the supercontinuum broadening has a great impact.ASSFM can reasonably take into account the characteristics of microstructured fiber with the pulse evolution of the peak power corresponding to the wavelength (or frequency) changes in order to more accurately simulate the ultrashort pulse in the microstructure fiber In the transmission.