光纤激光器中亮暗孤子对的传输特性
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摘要
基于简化的光纤激光器模型,采用分步傅里叶方法,数值研究亮暗孤子对在光纤激光器中的传输特性。研究结果表明,在光纤激光器中,亮暗孤子对是否稳定存在与群速度色散有关,亮暗孤子对在零色散区可以保持波形不变的稳定传输。同时亮暗孤子对受光纤激光器的小信号增益系数、饱和能量、初始脉宽、偏振角度等因素的影响。小信号增益系数越大,饱和能量越大,则亮暗孤子对的峰值强度越大,脉宽越窄。当峰值强度增加到一定程度,亮暗孤子对发生分裂。偏振控制器可以控制亮暗孤子对的输出。本研究结果可为光纤激光器中亮暗孤子对信号源的产生研究提供一定的理论依据。
Based on the simplified model of fiber laser,the transmission characteristics of bright-dark soliton pair in fiber laser are studied numerically by the split-step Fourier method.The results show that the stable existence of the bright-dark soliton pair is related to the group velocity dispersion,and the bright-dark soliton pair can maintain the stable transmission in the zero dispersion region.At the same time,the bright-dark soliton pair is influenced by the small signal gain coefficient,saturated energy,initial pulse width,and polarization angle in fiber laser.The larger the small signal gain coefficient or the saturation energy,the peak intensity of the bright-dark soliton pair is greater with the width narrower.When the peak intensity increases to a certain degree,the bright-dark soliton pair is split.The polarization controller can control the output of the bright-dark soliton pair.These results can provide some theoretical basis for the research on the generation of signal sources of bright-dark soliton pair in fiber laser.
Based on the simplified model of fiber laser,the transmission characteristics of bright-dark soliton pair in fiber laser are studied numerically by the split-step Fourier method.The results show that the stable existence of the bright-dark soliton pair is related to the group velocity dispersion,and the bright-dark soliton pair can maintain the stable transmission in the zero dispersion region.At the same time,the bright-dark soliton pair is influenced by the small signal gain coefficient,saturated energy,initial pulse width,and polarization angle in fiber laser.The larger the small signal gain coefficient or the saturation energy,the peak intensity of the bright-dark soliton pair is greater with the width narrower.When the peak intensity increases to a certain degree,the bright-dark soliton pair is split.The polarization controller can control the output of the bright-dark soliton pair.These results can provide some theoretical basis for the research on the generation of signal sources of bright-dark soliton pair in fiber laser.
引文
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[23]Yue B H,Yang L Z,Wang J F,et al.Evolution of dark-dark soliton pairs in a dispersion managed erbium-doped fiber ring laser[J].Laser Physics,2013,23(7):075106.
[24]Liu X M.Soliton formation and evolution in passively-mode-locked lasers with ultralong anomalous-dispersion fibers[J].Physical Review A,2011,84(2):023835.
[25]Ma C,Gao B,Wu G,et al.Observation of dissipative bright soliton and dark soliton in an allnormal dispersion fiber laser[J].International Journal of Optics,2016:1-7.
[26]Mou C B,Zou C H,Huang Q Q,et al.Research progress in polarization lock and polarization processing vector soliton based on carbon nanotube mode-locked fiber laser[J].Chinese Journal of Lasers,2017,44(7):0703003.牟成博,邹传杭,黄千千,等.基于碳纳米管锁模光纤激光器的偏振锁定和偏振进动矢量孤子的研究进展[J].中国激光,2017,44(7):0703003.
[27]Dai J,Gao J,Fan Z G.Polarization-maintaining capacity of backscattered linearly and circularly polarized lights[J].Chinese Journal of Lasers,2017,44(5):0505002.戴俊,高隽,范之国.线偏振光与圆偏振光后向散射偏振保持能力[J].中国激光,2017,44(5):0505002.
[28]Wang H Y,Xu W C,Cao W,et al.Experimental observation of bright-dark pulse emitting in an allfiber ring cavity laser[J].Laser Physics,2012,22(1):282-285.
[2]Richardson D J,Nilsson J,Clarkson W A.High power fiber lasers:current status and future perspectives[J].Journal of the Optical Society of America B,2010,27(11):B63-B92.
[3]Cai M,Painter O,Vahala K J,et al.Fiber-coupled microsphere laser[J].Optics Letters,2000,25(19):1430-1432.
[4]Stegeman G I,Segev M.Optical spatial solitons and their interactions:universality and diversity[J].Science,1999,286(5444):1518-1523.
[5]Lecaplain C,Orta9B,Hideur A,et al.High-energy femtosecond pulses from a dissipative soliton fiber laser[J].Optics Letters,2009,34(23):3731-3733.
[6]Zhang X,Gu C,Chen G,et al.Square-wave pulse with ultra-wide tuning range in a passively modelocked fiber laser[J].Optics Letters,2012,37(8):1334-1336.
[7]Jiang Y,Yu J L,Zhang L T,et al.Generation of multi-wavelength optical pulses and electrical clock signal utilizing optoelectronic oscillator with single light source[J].Acta Optica Sinica,2009,29(8):2093-2098.江阳,于晋龙,张立台,等.利用单光源光电振荡器实现多波长光脉冲与电时钟信号产生[J].光学学报,2009,29(8):2093-2098.
[8]Smith J A.Fiber-optic communication systems,by Govind P.Agrawal[J].Optics&Photonics News,1998,9(6):54-55.
[9]Khasilev V Y.Optimal control of all-optical communication soliton systems[C].SPIE,1996,2919:177-188.
[10]Armstrong S.Optical communication:all-optical storage[J].Nature Photonics,2012,6(10):636-637.
[11]Zhang H,Tang D Y,Zhao L M,et al.Dark pulse emission of a fiber laser[J].Physical Review A,2009,80(4):3383-3387.
[12]Li H P,Xia H D,Jing Z,et al.Dark pulse generation in a dispersion-managed fiber laser[J].Laser Physics,2012,22(1):261-264.
[13]Yin H,Xu W,Luo A P,et al.Observation of dark pulse in a dispersion-managed fiber ring laser[J].Optics Communications,2010,283(21):4338-4341.
[14]Tomlinson W J,Hawkins R J,Weiner A M,et al.Dark optical solitons with finite-width background pulses[J].Journal of the Optical Society of America B,1989,6(3):329-334.
[15]Feng M M,Silverman K L,Mirin R P,et al.Dark pulse quantum dot diode laser[J].Optics Express,2010,18(13):13385-13395.
[16]Ning Q Y,Wang S K,Luo A P,et al.Bright-dark pulse pair in a figure-eight dispersion-managed passively mode-locked fiber laser[J].IEEE Photonics Journal,2012,4(5):1647-1652.
[17]Guo B,Yao Y,Tian J,et al.Observation of brightdark soliton pair in a fiber laser with topological insulator[J].IEEE Photonics Technology Letters,2015,27(7):701-704.
[18]Meng Y,Zhang S,Li H,et al.Bright-dark soliton pairs in a self-mode locking fiber laser[J].Optical Engineering,2012,51(6):064302.
[19]Ge Y Q,Luo J L,Li L,et al.Initial conditions for dark soliton generation in normal-dispersion fiber lasers[J].Applied Optics,2015,54(1):71-75.
[20]Agrawal G P.Optical pulse propagation in doped fiber amplifiers[J].Physical Review A,1991,44(11):7493-7501.
[21]Agrawal G P.Nonlinear fiber optics:applications of nonlinear fiber optics[M].Jia D F,Yu Z H,Wang ZY,et al.Transl.2nd ed.Beijing:Electronic Industry Press,2010:105-108.阿戈沃·戈文德磷.非线性光纤光学:原理及应用[M].贾东方,余震虹,王肇颖,等,译.2版.北京:电子工业出版社,2010:105-108.
[22]Soto-Crespo J M,Grelu P,Akhmediev N,et al.Dissipative rogue waves:extreme pulses generated by passively mode-locked lasers[J].Physical Review E,2011,84(1):016604.
[23]Yue B H,Yang L Z,Wang J F,et al.Evolution of dark-dark soliton pairs in a dispersion managed erbium-doped fiber ring laser[J].Laser Physics,2013,23(7):075106.
[24]Liu X M.Soliton formation and evolution in passively-mode-locked lasers with ultralong anomalous-dispersion fibers[J].Physical Review A,2011,84(2):023835.
[25]Ma C,Gao B,Wu G,et al.Observation of dissipative bright soliton and dark soliton in an allnormal dispersion fiber laser[J].International Journal of Optics,2016:1-7.
[26]Mou C B,Zou C H,Huang Q Q,et al.Research progress in polarization lock and polarization processing vector soliton based on carbon nanotube mode-locked fiber laser[J].Chinese Journal of Lasers,2017,44(7):0703003.牟成博,邹传杭,黄千千,等.基于碳纳米管锁模光纤激光器的偏振锁定和偏振进动矢量孤子的研究进展[J].中国激光,2017,44(7):0703003.
[27]Dai J,Gao J,Fan Z G.Polarization-maintaining capacity of backscattered linearly and circularly polarized lights[J].Chinese Journal of Lasers,2017,44(5):0505002.戴俊,高隽,范之国.线偏振光与圆偏振光后向散射偏振保持能力[J].中国激光,2017,44(5):0505002.
[28]Wang H Y,Xu W C,Cao W,et al.Experimental observation of bright-dark pulse emitting in an allfiber ring cavity laser[J].Laser Physics,2012,22(1):282-285.