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本文从理论上分析了色散和非线性对脉冲频谱的影响 ,采用数值方法求解了非线性薛定谔方程的频域解。模拟了初始啁啾对不同形状脉冲频谱的作用。研究结果表明 :初始啁啾对频谱的影响随脉冲形状而变化。对高斯型脉冲 ,正的初始啁啾导致频谱严重展宽 ,负初始啁啾对频谱影响较小。超高斯型脉冲的频谱出现了旁瓣 ,这会引起能量的损失 ;而初始啁啾对其频谱的影响并不大。孤子型脉冲的频谱受初始啁啾的影响较大 ,尤其是高阶孤子。因此 ,为了保证脉冲稳定传输 ,必须消除初始啁啾。
In this paper, the influence of dispersion and nonlinearity on the pulse spectrum is theoretically analyzed. The frequency domain solution of the nonlinear Schrödinger equation is solved numerically. The effect of the initial chirp on different shaped pulse spectra is simulated. The results show that the influence of the initial chirp on the spectrum changes with the pulse shape. For a Gaussian pulse, a positive initial chirp results in a severe broadening of the spectrum, and a negative initial chirp has less effect on the spectrum. The sidelobes appear in the spectrum of the super-Gaussian pulse, which causes the loss of energy. However, the initial chirp has little effect on the spectrum. The spectrum of the soliton pulse is greatly affected by the initial chirp, especially the higher order solitons. Therefore, in order to ensure stable pulse transmission, the initial chirp must be eliminated.