论文标题
具有分布式参数的光纤放大器和光纤激光器中产生的周期性和孤立波
Periodic and solitary waves generating in optical fiber amplifiers and fiber lasers with distributed parameters
论文作者
论文摘要
我们研究具有分布式参数的光纤放大器和光纤激光器中产生的皮秒光脉冲的自相似动力学。在存在增益效应的情况下，具有不同系数的广义非线性schrödinger方程，得出了各种周期性和孤立波解决方案。给出了这些波解的存在的分布式光纤参数的约束。这些自相似波的动力学行为在周期性分布的放大系统中讨论。还通过添加白噪声来研究周期性和孤立波解的稳定性。通过使用数值拆分傅立叶方法证明，这些非线性自相似波在进化过程中保持不变。
We study self-similar dynamics of picosecond light pulses generating in optical fiber amplifiers and fiber lasers with distributed parameters. A rich variety of periodic and solitary wave solutions are derived for the governing generalized nonlinear Schrödinger equation with varying coefficients in the presence of gain effect. The constraint on distributed optical fiber parameters for the existence of these wave solutions is presented. The dynamical behaviour of those self-similar waves is discussed in a periodic distributed amplification system. The stability of periodic and solitary wave solutions is also studied numerically by adding white noise. It is proved by using the numerical split-step Fourier method that the profile of these nonlinear self-similar waves remains unchanged during evolution.
