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

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.     

群速度与相速度对层级结构NSLE一孤子解的影响

基于具有层级结构的非线性薛定谔方程(NLSE),得到了该方程的一孤子解及其相速度和群速度,并详细讨论了相速度与群速度的关系对一孤子传输特性的影响。结果表明:当相速度和群速度不相等时,一孤子解的实部和虚部具有不同的特性和周期;当相速度和群速度相等时,一孤子解的实部和虚部的周期性消失。     

自陡峭和自频移效应对有限背景解的影响

基于自聚焦的非线性薛定谔方程,研究了自陡峭效应和自频移效应对Peregrine怪波(PS)、Akhmediev呼吸子(AB)和Kuznetsov-Ma孤子(KMS)传输特性的影响。数值模拟结果表明:这两种效应使三种有限背景解分裂加快,相邻最大压缩脉冲间的距离减小,脉冲中心发生偏移,且参数越大,分裂得越早,脉冲中心偏移量越大。     

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。     

拉曼增益对三类有限背景解传输特性的影响

基于含有拉曼增益效应的自聚焦非线性薛定谔方程,数值研究了拉曼增益分别对Peregrine怪波(PS)、Akhmediev呼吸子(AB)和Kuznetsov-Ma孤子(KMS)传输特性的影响。结果表明:拉曼增益效应会使怪波、AB和KMS在时间方向上发生分裂,且拉曼增益系数越大,分裂速度越快;拉曼增益效应还会使三种孤子解传输距离方向上的峰值功率增大,相邻两最大压缩脉冲之间的距离缩短,且拉曼增益系数越大,最大峰值功率越大,相邻距离越小。     

慢饱和吸收效应对锁模光纤激光器中脉冲传输特性的影响

石墨烯作为饱和吸收体用于锁模光纤激光器,为超短脉冲的研制开辟了一条新途径。本文以耦合非线性薛定谔方程为理论模型,对锁模光纤激光器中超短脉冲产生及传输做了详细的研究,特别是饱和吸收体在脉冲产生及传输过程中对脉冲振幅及中心位置的影响。相关结论将为进一步改善光纤激光器的性能提供一定的理论参考。     

高阶色散对光纤放大器中自相似脉冲传输的影响

以非线性薛定谔方程为模型,采用分步傅里叶方法对光纤放大器中自相似脉冲的传输特性进行详细的研究,结果表明:抛物型的自相似脉冲可以在不包含高阶色散的光纤放大器系统中稳定传输;当系统的高阶色散(如:三阶色散)不容忽略时,自相似脉冲在光纤放大器中传输时将在脉冲沿出现抖动现象,导致脉冲的抛物线形状产生畸变.     

自锁模Cr^4＋：YAG激光器的色散补偿研究

从棱镜对补偿色散的原理出发，介绍了Cr^4 ：YAG锁模激光器中色散补偿的特点，发现熔融石英作为色散补偿元件，不仅可以完全补偿二阶色散，而且三阶色散也得到了一定的补偿，并得到了脉冲宽度最小为65fs，中心波长为1520nm，重复频率为120MHz的脉冲序列。     

Theory of passively mode-locked lasers with self-frequency shift and saturable absorber response

A general theoretical model for passively mode-locked lasers is presented, in which both the self-frequency shift and either a fast or a slow saturable absorber response are taken into account. An exact soliton-like solution and condition for its existence are obtained under a definite compatible condition. The stability of the solution is analyzed by using a variational method, and a parameter region, in which the solution is linearly stable, is acquired theoretically. To verify the theoretical predictions, a typical example is given for stable pulse propagation over a long distance. The numerical results show that the soliton-like solution is stable under some perturbations within the linearly stable region and an arbitrary Gaussian pulse converges to the exact soliton-like solution after evolution in a distance.     

Interactions of adjacent pulsating, erupting and creeping solitons

This paper investigates the adjacent interactions of three novel solitons for the quintic complex Ginzburg-Landau equation, which are plain pulsating, erupting and creeping solitons. It is found that different performances are presented for different solitons due to isolated regions of the parameter space where they exist. For example, plain pulsating and erupting solitons exhibit mutual annihilation during collisions with the decrease of total energy, but for creeping soliton, the two adjacent pulses present soliton fusion without any loss of energy. Otherwise, the method for restraining the interactions is also found and it can suppress interactions between these two adjacent pulses effectively.