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利用相干耦合非线性薛定谔方程,研究了激光脉冲在升余弦变迹布拉格光纤光栅中传输时,在反常色散区和正常色散区所产生的调制不稳定性。结果表明在反常色散区和正常色散区都能产生调制不稳定性;在反常色散区,当输入功率达到一定数值时,产生明显的规律性增益谱;在正常色散区,在产生调制不稳定性功率区域,调制不稳定性存在并从给定值一直持续到无穷;在反常色散区和正常色散区,增益谱都受到升余弦变迹函数的制约。
The coherent coupling nonlinear Schrödinger equation was used to study the modulation instability caused by the laser pulses in the asymptotic dispersion region and the normal dispersion region when they were propagated in raised cosine fiber Bragg gratings. The results show that modulation instability can occur in both the anomalous dispersion region and the normal dispersion region. In the anomalous dispersion region, when the input power reaches a certain value, a significant regularity gain spectrum is produced. In the normal dispersion region, the modulation instability In the power region, the modulation instability exists and continues from a given value to infinity. In both the anomalous dispersion region and the normal dispersion region, the gain spectrum is constrained by the raised cosine apodization function.