非线性延迟响应对啁啾类孤波的影响

以描述超短光脉冲在光纤中传输的高阶非线性Ginzburg-Landau方程为模型,给出了包含三阶色散,自陡效应以及非线性延迟响应等效应的锁模激光器系统的啁啾类孤波解,并采用分步傅立叶方法对该解析解的稳定性进行了详细的分析。结果表明:在一定的系统参数条件下,即使存在一些微弱的扰动,这类啁啾类孤波解依然可以稳定地存在并传输较长的距离。如果初始输入脉冲为任意的高斯脉冲,在经过一段传输距离的演化后,啁啾类孤波解形成并可以稳定传输。

Impact of Nonlinear-delay Response on the Chirped Solitonlike Laser Pulse

Based on the high-order nonlinear complex Ginzburg-Landau equation with the nonlinear-delay response effect, which describes the ultrashort laser pulse transmission in mode-locked laser systems, the exact chirped solitonlike solution is obtained. And the stability of the chirped solitonlike solution is also studied in detail. The results show that the solution can exist and transmit for a long distance stably under a definite weak disturbance, such as amplitude variation, initial chirp and white noise. The further simulations show that the initial Gaussian pulse can also converge to the chirped solitonlike solution after a distance of transmission.