色散管理光纤激光器中束缚态孤子动力学演化特性
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摘要
光孤子脉冲在光纤中传输时由于复杂的非线性相互作用可以形成稳定的孤子束缚态形式,脉冲间的相位关系变化揭示出非线性系统中孤子丰富的动力学特性。通过金兹堡朗道方程描述光孤子在光纤激光器中的传输规律,数值分析了色散管理光纤激光器中系统参量对于束缚态孤子相位突变的影响。研究发现,光纤激光器在相空间中存在多种形式的孤子束缚态,系统的初始状态对于孤子最终状态的演化具有重要的影响。数值分析表明:激光器系统泵浦强度的变化,不仅导致孤子脉冲时间间距的变化,也会导致孤子束缚态的相位差,这对于深入了解光纤中光孤子的动力学过程具有重要的研究意义。
As optical solitons propagate along the fiber, stable bound state solitons can be formed due to complex nonlinear interactions, and phase variation of bound state solitons reveals abundant dynamics in the nonlinear system. Based on the Ginzburg-Landau equation governing the evolution of solitons along the fiber, the dynamics of soliton phase variation induced by the system parameters was numerically studied. It was found that there exist different bound state solitons, and initial conditions finally converge to bound state solitons with different phase difference. The results also indicate that the change of pump strength influences the pulse separation of solution as well as phase difference of bound state, which is of importance for in-depth understanding of the underlying nonlinear interaction mechanism.
As optical solitons propagate along the fiber, stable bound state solitons can be formed due to complex nonlinear interactions, and phase variation of bound state solitons reveals abundant dynamics in the nonlinear system. Based on the Ginzburg-Landau equation governing the evolution of solitons along the fiber, the dynamics of soliton phase variation induced by the system parameters was numerically studied. It was found that there exist different bound state solitons, and initial conditions finally converge to bound state solitons with different phase difference. The results also indicate that the change of pump strength influences the pulse separation of solution as well as phase difference of bound state, which is of importance for in-depth understanding of the underlying nonlinear interaction mechanism.
引文
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[3]Malomed B A.Bound solitons in the nonlinear Schr觟dingerGinzburg-Landau equation[J].Physical Review A,1991,44(10):6954-6957.
[4]Akhmediev N N,Ankiewicz A,Sotocrespo J M.Stable soliton pairs in optical transmission lines and fiber lasers[J].Journal of the Optical Society of America B,1998,15(15):515-523.
[5]Tang D Y,Zhao L M,Zhao B.Multipulse bound solitons with fixed pulse separations formed by direct soliton interaction[J].Applied Physics B,2005,80(2):239-242.
[6]Gui L,Xiao X,Yang C.Observation of various bound solitons in a carbon-nanotube-based erbium fiber laser[J].Journal of the Optical Society of America B,2013,30(30):158.
[7]Liu X M,Han X X,Yao X K.Discrete bisoliton fiber laser[J].Scientific Reports,2016,6:34414.
[8]Li L,Ruan Q,Yang R,et al.Bidirectional operation of 100 fs bound solitons in an ultra-compact mode-locked fiber laser[J].Optics Express,2016,24(18):21020.
[9]Zavyalov A,Iliew R,Egorov O,et al.Discrete family of dissipative soliton pairs in mode-locked fiber lasers[J].Physical Review A,2009,79(5):1744-1747.
[10]Liu X.Dynamic evolution of temporal dissipative-soliton molecules in large normal path-averaged dispersion fiber lasers[J].Physical Review A,2010,82(6):13442-13444.
[11]Li X,Wang Y,Zhao W,et al.Numerical investigation of soliton molecules with variable separation in passively mode-locked fiber lasers[J].Optics Communications,2012,285(6):1356-1361.
[2]Mitschke F M,Mollenauer L F.Experimental observation of interaction forces between solitons in optical fibers[J].Optics Letters,1987,12(5):355-357.
[3]Malomed B A.Bound solitons in the nonlinear Schr觟dingerGinzburg-Landau equation[J].Physical Review A,1991,44(10):6954-6957.
[4]Akhmediev N N,Ankiewicz A,Sotocrespo J M.Stable soliton pairs in optical transmission lines and fiber lasers[J].Journal of the Optical Society of America B,1998,15(15):515-523.
[5]Tang D Y,Zhao L M,Zhao B.Multipulse bound solitons with fixed pulse separations formed by direct soliton interaction[J].Applied Physics B,2005,80(2):239-242.
[6]Gui L,Xiao X,Yang C.Observation of various bound solitons in a carbon-nanotube-based erbium fiber laser[J].Journal of the Optical Society of America B,2013,30(30):158.
[7]Liu X M,Han X X,Yao X K.Discrete bisoliton fiber laser[J].Scientific Reports,2016,6:34414.
[8]Li L,Ruan Q,Yang R,et al.Bidirectional operation of 100 fs bound solitons in an ultra-compact mode-locked fiber laser[J].Optics Express,2016,24(18):21020.
[9]Zavyalov A,Iliew R,Egorov O,et al.Discrete family of dissipative soliton pairs in mode-locked fiber lasers[J].Physical Review A,2009,79(5):1744-1747.
[10]Liu X.Dynamic evolution of temporal dissipative-soliton molecules in large normal path-averaged dispersion fiber lasers[J].Physical Review A,2010,82(6):13442-13444.
[11]Li X,Wang Y,Zhao W,et al.Numerical investigation of soliton molecules with variable separation in passively mode-locked fiber lasers[J].Optics Communications,2012,285(6):1356-1361.