基于耦合Ginzburg-Landau方程的石墨烯锁模光纤激光器的暗暗孤子解及其稳定性

Ultra-short Dark Soliton Pair and Their Stabilities of Graphene Mode-locked Fiber Lasers Based on Coupled Ginzburg-Landau Equations

以耦合Ginzburg-Landau方程为模型,对石墨烯锁模光纤激光器中脉冲的动力学行为进行了详细地研究。首先,采用拟解法推导了该方程组的啁啾类暗暗孤子对解;其次,对啁啾类暗暗孤子对的传输特性及稳定性进行了数值研究。结果表明:合理选择系统参数,不仅可以得到啁啾类暗暗孤子对的精确解,而且该精确解还可以在一定的扰动下稳定传输。相关结果将为设计和改善石墨烯锁模光纤激光器的性能提供一定的理论依据。

Based on the coupled Ginzburg-Landau equation, the pulse dynamic behavior generated fromgraphene mode-locked fiber laser was studied in details. Firstly, the solution expressions of chirped dark-dark soliton pairs was got by using ansatz method. Secondly,the transmission characteristics and stabilityof chirped dark-dark soliton pairs were discussed by using numerical method. The results showed that theexact solution of chirped dark-dark soliton pairs can be obtained after the system parameters are chosencorrectly,and it can also be transmitting stably under definite disturbances. These results can providecertain theoretical references for designing and improving the performance of mode-locked fiber lasers.