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变系数拉曼增益对两种特殊形式暗孤子传输特性的影响

Effects of Variable Coefficient Raman Gain on the Transmission Characteristics of Two Special form of Dark Solitons

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摘要

在非均匀光纤中,基于带有分布色散,自相位调制和自陡峭的变系数修正非线性薛定谔方程(Vc-MNLSE)及其两种暗孤子解,详细讨论了不同形式的拉曼增益对暗孤子解传输特性的影响。结果表明:周期的正弦函数拉曼增益会使两种暗孤子解的背景波产生周期性振荡,并且振荡周期和幅度均随正弦函数的参数变化而变化;双曲正弦函数和指数函数的拉曼增益将会使两种暗孤子解的背景波功率升高;正切函数的拉曼增益会使两种暗孤子解的背景波产生阶跃性变化,且周期振荡暗孤子解会在传输过程中发生分裂。

Abstract

In inhomogeneous optical fiber,based on the variable coefficient modified nonlinear Schrdinger equation (Vc-MNLSE) with distributed dispersion,self-phase and self-steepness,two dark solitons are discussed,mainly including the influence of Raman gain on the transmission characteristics of these dark solitons. The results show that the wave background of two dark solitons become periodic oscillation with the sine function of Raman gain,and the oscillation period and amplitude change with the parameters of the sine function. The hyperbolic sine function and exponential function Raman gain increase the background waves’ power of the two dark solitons. The tangent function Raman gain make the background of two dark solitons to change stepped and the periodic oscillating dark solitons split during the transmission process.

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中图分类号:O437

DOI:10.3788/jqo20182404.0601

基金项目:国家自然科学基金(61775126);山西省自然科学基金(2016011038)

收稿日期:2018-03-09

修改稿日期:2018-03-19

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赵岩:山西大学 物理电子工程学院,山西 太原 030006
宋丽军:山西大学 物理电子工程学院,山西 太原 030006
杨荣草:山西大学 物理电子工程学院,山西 太原 030006

联系人作者:赵岩(1808969433@qq.com)

备注:赵岩(1993-),男,内蒙古自治区满洲里市人,在读硕士,主要从事非线性光学传输方面的研究。

【1】Hasegawa A,Tappert F D.Transmission of Stationary Nonlinear Optical Pulses in Dispersive Dielectric Fibers[ ].I Anomalous dispersion,Appl Phys Lett,1973,23:142-144.DOI:101063/11654836.

【2】Mollenauer L F,Gordon J P,Stolen R H,et al.Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers[J].Physical Review Letters,1980,45(13):1095-1098.DOI:101103/PhysRevLett.451095.

【3】Agrawal G P.Agrawal,Nonlinear Fiber Optics,Academic,New York,2013.

【4】Kivshar Y S,Lutherdavies B.Dark Optical Solitons:Physics and Applications[J].Physics Reports,1998:81-197.DOI:101016/S0370-1573(97)00073-2.

【5】Emplit P,Hamaide J,Reynaud F,et al.Picosecond Steps and Dark Pulses Through Nonlinear Single Mode Fibers[J].Optics Communications,1987,62(6):374-379.DOI:101016/0030-4018(87)90003-4.

【6】Weiner A M,Hawkins R J,Thurston R N,et al.Experimental Observation of the Fundamental Dark Soliton in Optical Fibers[J].Physical Review Letters,1988,61(21):2445-2448.DOI:101103/PhysRevL ett.612445.

【7】Kivshar Y S,Yang X.Dynamics of Dark Solitons[J].Chaos Solitons & Fractals,1994:1745-1758.DOI:101016/0960-0779(94)90108-2.

【8】Mitchell M,Chen Z,Shih M,et al.Self-Trapping of Partially Spatially Incoherent Light[J].Physical Review Letters,1996,77(3):490-493.DOI:101103/PhysRevLett.77490.

【9】Guo R,Hao H Q.Breathers and Multi-soliton Solutions for the Higher-order Generalized Nonlinear Schrdinger Equation[J].Communications in Nonlinear Science & Numerical Simulation,2013,18(9):2426-2435.DOI:https:∥doi.org/101016/j.cnsns.201301019.

【10】Zhao H H,Zhao X J,Hao H Q.Breather-to-soliton Conversions and Nonlinear Wave Interactions in a Coupled Hirota System[J].Applied Mathematics Letters,2016,61:8-12. DOI: https:∥doi.org/101016/j. aml.201604016Get rights and content.

【11】Xu T,Tian B,Li L L,et al.Dynamics of Alfvén Solitons in Inhomogeneous Plasmas[J].Physics of Plasmas,2008,15(10):2673.DOI:101063/12997340.

【12】Mandelik D,Morandotti R,Aitchison J S,et al.Gap Solitons in Waveguide Arrays[J].Physical Review Letters,2004,92(9):093904.DOI:101103/PhysRevLett.92093904.

【13】Tsurumi T,Wadati M.Soliton Propagation in a Bose-Einstein Condensate[J].Journal of the PhysicalSociety of Japan,1998,67(7):2294-2299.DOI:101143/JPSJ.672294.

【14】Chabchoub A,Kimmoun O,Branger H,et al.Experimental Observation of Dark Solitons on the Surface of Water[J].Physical Review Letters,2013,110(12).DOI:101103/PhysRevLett.110124101.

【15】Han S,Park Q.Effect of Self-steepening on Optical Solitons in a Continuous Wave Background[J].Physical Review E,2011,83(6).DOI:101103/PhysRevE.83066601.

【16】Zhang H,Tian B,Lu X,et al.Soliton Interaction in the Coupled Mixed Derivative Nonlinear Schrdinger Equations[J].Physics Letters A,2009,373(47):4315-4321.DOI:101016/j.physleta.200909. 010.

【17】Yu Y,Weiguo J,Qing Y,et al.Evolution of Dark Solitons in the Presence of Raman Gain and Self-steepening Effect[J].Chinese Physics B,2015,24(8).DOI:101088/1674-1056/24/8/084210.

【18】Li M,Tian B,Liu W J,et al.Dark and Antidark Solitons in the Modified Nonlinear Schrdinger Equation Accounting for the Self-steepening Effect[J].Phys Rev E Stat Nonlinear Soft Matter Phys,2010,81(2):046606.DOI:101103/PhysRevE.81046606.

【19】Yang R,Hao R,Li L,et al.Exact Gray Multi-soliton Solutions for Nonlinear Schrdinger Equation with Variable Coefficients[J].Optics Communications,2005,253(1):177-185.DOI:101016/j.optcom.200 504055.

【20】Liu W,Tian B,Zhang H,et al.Types of Solutions of the Variable-coefficient Nonlinear Schrdinger Equation with Symbolic Computation[J].Physical Review E,2008,78(6).DOI:101103/PhysRevE.78066 613.

【21】Zhang H,Zhai B,Wang X,et al.Dark and Antidark Soliton Solutions in the Modified Nonlinear Schrdinger Equation with Distributed Coefficients in Inhomogeneous Fibers[J].Physica Scripta,2012,85(1):1-9(2012).DOI:101088/0031-8949/85/01/015006.

【22】Musammil N M,Porsezian K,Nithyanandan K,et al.Ultrashort Dark Solitons Interactions and Nonlinear Tunneling in the Modified Nonlinear Schrdinger Equation with Variable Coefficient[J].Optical Fiber Technology,2017,37:11-20.DOI:https:∥doi.org/101016/j.yofte.201706006 Get rights and content.

引用该论文

ZHAO Yan,SONG Li-jun,YANG Rong-cao. Effects of Variable Coefficient Raman Gain on the Transmission Characteristics of Two Special form of Dark Solitons[J]. Acta Sinica Quantum Optica, 2018, 24(4): 444-451

赵岩,宋丽军,杨荣草. 变系数拉曼增益对两种特殊形式暗孤子传输特性的影响[J]. 量子光学学报, 2018, 24(4): 444-451

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