窄线宽脉冲光纤激光的自相位调制预补偿研究

粟荣涛; 肖虎; 周朴; 王小林; 马阎星; 段磊; 吕品; 许晓军

doi:10.7498/aps.67.20180486

摘要

自相位调制（SPM）效应会展宽窄线宽脉冲光纤激光的光谱宽度，降低其相干性.通过相位调制对SPM引起的非线性相移进行预补偿，能够使脉冲激光在光纤中进行放大和传输后保持种子激光的光谱特性.基于三波耦合方程开展数值仿真，研究了在对SPM进行“欠补偿”，“完全补偿”和“过补偿”的情况下，SPM预补偿对受激布里渊散射阈值和激光光谱特性的影响.开展了SPM预补偿实验研究，将脉冲激光的光谱宽度从1.4 GHz压缩到120 MHz.研究内容可以为窄线宽脉冲光纤激光系统的设计搭建提供参考.

关键词:

Abstract

High peak power, single frequency nanosecond fiber lasers have aroused the intense interest in their applications such as nonlinear frequency generation, LIDAR, and remote sensing. However, self-phase modulation (SPM) will induce a temporally dependent phase shift φNL (L, t)=|Ap (0, t)|2γLeff, where Ap is the amplitude of pump wave, γ is the nonlinear parameter, and Leff is the effective fiber length. The nonlinear phase shift will broaden the spectral linewidth of pulsed laser, which degrades the coherence of the laser and influences the performance of the laser. In order to obtain laser pulses with narrower linewidth, we can phase-modulate the pulsed laser with a value of-φNL(L,t). Thus, the SPM induced the nonlinear phase shift can be eliminated, and the spectra of pulsed laser can remain during the amplification and transmission in the fiber. Stimulated Brillouin scattering (SBS) has very low threshold and should be taken into consideration in narrow linewidth fiber lasers. The SBS threshold, which is dependent on the linewidth of laser, will be changed at the same time when the SPM is pre-compensated for. Because the SPM pre-compensation will change the linewidth of the pulsed laser. According to three coupled amplitude equations, we numerically analyze the influence of SPM pre-compensation on SBS threshold and spectral characteristics. The stimulation results show that in a master oscillator power amplifier structured fiber laser system, when SPM is completely compensated for (φM(t)=φNL(L,t)), the spectrum of the output pulsed laser can be maintained as that of the laser seed, but the SBS threshold usually decreases. When the SPM is compensated for incompletely (φM(t) φNL(L,t)), the spectral linewidth of the output laser cannot be compressed to that of the laser seed, and the SBS threshold in this situation is lower than the SBS threshold obtained when φM(t)=φNL(L,t). When the SPM is overcompensated for (φM(t) > φNL(L, t)), the spectral linewidth of the output laser cannot be compressed to that of the laser seed either, but the the SBS threshold in this situation is higher than the SBS threshold when φM(t)=φNL(L,t). We also build an experimental setup to verify the feasibility of SPM compensation. In our experiment, the linewidth of the pulsed laser is reduced from 1.4 GHz to 120 MHz when SPM is compensated for by phase modulation. The SBS threshold of the system are measured before and after SPM pre-compensation, and correctness of theoretical simulation is experimentally verified. This analysis method can provide the design guidelines for narrow-linewidth pulsed fiber laser systems.

Keywords:

作者及机构信息

1.
中国科学院软件研究所, 北京 100190;

2.
国防科技大学前沿交叉学科学院, 长沙 410073;

3.
大功率光纤激光湖南省协同创新中心, 长沙 410073

通信作者: 粟荣涛, surongtao@126.com

基金项目: 国家重点研发计划（批准号：2017YFF0104603）、中国博士后科学基金（批准号：2017M620070）和国家自然科学基金（批准号：61705265，61705264）资助的课题.

Authors and contacts

1.
Institute of Software, Chinese Academy of Sciences, Beijing 100190, China;

2.
College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China;

3.
Hunan Provincial Collaborative Innovation Center of High Power Fiber Laser, Changsha 410073, China

Corresponding author: Su Rong-Tao, surongtao@126.com

Funds: Project supported by the National Key R&D Program of China (Grant No. 2017YFF0104603), the China Postdoctoral Science Foundation (Grant No. 2017M620070) and the National Natural Science Foundation of China (Grant Nos. 61705265, 61705264).

参考文献

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[2]	Liu A, Norsen M A, Mead R D 2005 Opt. Lett. 30 67
[3]	Shi W, Leigh M A, Zong J, Yao Z, Nguyen D T, Chavez-Pirson A, Peyghambarian N 2009 IEEE J. Sel. Top. Quantum Electron. 15 377
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[9]	Shi W, Petersen E B, Nguyen D T, Yao Z, Chavez-Pirson A, Peyghambarian N, Yu J 2011 Opt. Lett. 36 3575
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[18]	Liu Y K, Wang X L, Su R T, Ma P F, Zhang H W, Zhou P, Si L 2017 Acta Phys. Sin. 66 234203 (in Chinese) [刘雅坤, 王小林, 粟荣涛, 马鹏飞, 张汉伟, 周朴, 司磊 2017 物理学报 66 234203]
[19]	Wang X, Jin X, Wu W, Zhou P, Wang X, Xiao H, Liu Z 2015 IEEE Photon. Technol. Lett. 27 677
[20]	Perry M D, Ditmire T, Stuart B C 1994 Opt. Lett. 19 2149
[21]	Bao H, Gu M 2009 Opt. Lett. 34 148
[22]	Shi W, Petersen E B, Yao Z, Nguyen D T, Zong J, Stephen M A, Chavez-Pirson A, Peyghambarian N 2010 Opt. Lett. 35 2418
[23]	Su R T, Wang X L, Zhou P, Xu X J 2013 Laser Phys. Lett. 10 015105
[24]	Washburn B R, Buck J A, Ralph S E 2000 Opt. Lett. 25 445
[25]	Zaouter Y, Cormier E, Rigail P, Al E 2007 Proc. SPIE 6453 64530O
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[27]	Su R, Zhou P, Ma P, L H, Xu X 2013 Appl. Opt. 52 7331
[28]	Xu C, Mollenauer L, Liu X 2002 Electron. Lett. 38 1578
[29]	Agrawal G P 2013 Nonlinear Fiber Optics (Fifth Edition) (New York: Academic) pp370-372
[30]	Boyd R W, Rzyzewski K, Narum P 1990 Phys. Rev. A 49 5514
[31]	Hollenbeck D, Cantrell C D 2009 J. Lightwave Technol. 27 2140
[32]	Xu S, Li C, Zhang W, Mo S, Yang C, Wei X, Feng Z, Qian Q, Shen S, Peng M, Zhang Q, Yang Z 2013 Opt. Lett. 38 501
[33]	Xu S, Yang Z, Zhang W, Wei X, Qian Q, Chen D, Zhang Q, Shen S, Peng M, Qiu J 2011 Opt. Lett. 36 3708
[34]	Su R, Zhou P, Wang X, Xiao H, Xu X 2012 Chin. Opt. Lett. 10 111402
[35]	Su R, Zhou P, Wang X, L H, Xu X 2014 Opt. Commun. 316 86

施引文献

[1]	Liu Y, Liu J, Chen W 2011 Chin. Opt. Lett. 9 090604
[2]	Liu A, Norsen M A, Mead R D 2005 Opt. Lett. 30 67
[3]	Shi W, Leigh M A, Zong J, Yao Z, Nguyen D T, Chavez-Pirson A, Peyghambarian N 2009 IEEE J. Sel. Top. Quantum Electron. 15 377
[4]	Zhu X, Liu J, Bi D, Zhou J, Diao W, Chen W 2012 Chin. Opt. Lett. 10 012801
[5]	Zhang X, Diao W, Liu Y, Liu J, Hou X, Chen W 2015 Proc. SPIE 9255 925503
[6]	Jiang J, Chang J H, Feng S J, Mao Q H 2010 Acta Phys. Sin. 59 7892 (in Chinese) [蒋建, 常建华, 冯素娟, 毛庆和 2010 物理学报 59 7892]
[7]	Su R, Zhou P, Wang X, Zhang H, Xu X 2012 Opt. Lett. 37 3978
[8]	Geng J, Wang Q, Jiang Z, Luo T, Jiang S, Czarnecki G 2011 Opt. Lett. 36 2293
[9]	Shi W, Petersen E B, Nguyen D T, Yao Z, Chavez-Pirson A, Peyghambarian N, Yu J 2011 Opt. Lett. 36 3575
[10]	Fang Q, Shi W, Petersen E, Khanh K, Chavez-Pirson A, Peyghambarian N 2012 IEEE Photon. Technol. Lett. 24 353
[11]	Wu W, Ren T, Zhou J, Du S, Liu X 2012 Chin. Opt. Lett. 10 050604
[12]	Li P, Hu H, Yao Y, Chi J, Yang C, Zhao Z, Zhang G, Zhang M, Liang B, Ma C 2015 Proc. SPIE 9656 96560B
[13]	Wang X, Jin X, Zhou P, Wang X, Xiao H, Liu Z 2015 Opt. Express 23 4233
[14]	Su R, Zhou P, Wang X, Ma Y, Ma P, Xu X, Liu Z 2014 IEEE J. Sel. Top. Quantum Electron. 20 0903913
[15]	Kobyakov A, Sauer M, Chowdhury D 2010 Adv. Opt. Photon. 2 1
[16]	Zhang L, Zhang D, Shi J, Shi J, Gong W, Liu D 2012 Appl. Phys. B 109 137
[17]	Chang L P, Guo S Q, Fan W, Xu H, Ren H L, Wang X C, Chen B 2010 Acta Opt. Sin. 30 1112 (in Chinese) [常丽萍, 郭淑琴, 范薇, 徐红, 任宏亮, 汪小超, 陈柏 2010 光学学报 30 1112]
[18]	Liu Y K, Wang X L, Su R T, Ma P F, Zhang H W, Zhou P, Si L 2017 Acta Phys. Sin. 66 234203 (in Chinese) [刘雅坤, 王小林, 粟荣涛, 马鹏飞, 张汉伟, 周朴, 司磊 2017 物理学报 66 234203]
[19]	Wang X, Jin X, Wu W, Zhou P, Wang X, Xiao H, Liu Z 2015 IEEE Photon. Technol. Lett. 27 677
[20]	Perry M D, Ditmire T, Stuart B C 1994 Opt. Lett. 19 2149
[21]	Bao H, Gu M 2009 Opt. Lett. 34 148
[22]	Shi W, Petersen E B, Yao Z, Nguyen D T, Zong J, Stephen M A, Chavez-Pirson A, Peyghambarian N 2010 Opt. Lett. 35 2418
[23]	Su R T, Wang X L, Zhou P, Xu X J 2013 Laser Phys. Lett. 10 015105
[24]	Washburn B R, Buck J A, Ralph S E 2000 Opt. Lett. 25 445
[25]	Zaouter Y, Cormier E, Rigail P, Al E 2007 Proc. SPIE 6453 64530O
[26]	Munroe M J, Hamamoto M Y, Dutton D A 2009 Proc. SPIE 7195 71952N
[27]	Su R, Zhou P, Ma P, L H, Xu X 2013 Appl. Opt. 52 7331
[28]	Xu C, Mollenauer L, Liu X 2002 Electron. Lett. 38 1578
[29]	Agrawal G P 2013 Nonlinear Fiber Optics (Fifth Edition) (New York: Academic) pp370-372
[30]	Boyd R W, Rzyzewski K, Narum P 1990 Phys. Rev. A 49 5514
[31]	Hollenbeck D, Cantrell C D 2009 J. Lightwave Technol. 27 2140
[32]	Xu S, Li C, Zhang W, Mo S, Yang C, Wei X, Feng Z, Qian Q, Shen S, Peng M, Zhang Q, Yang Z 2013 Opt. Lett. 38 501
[33]	Xu S, Yang Z, Zhang W, Wei X, Qian Q, Chen D, Zhang Q, Shen S, Peng M, Qiu J 2011 Opt. Lett. 36 3708
[34]	Su R, Zhou P, Wang X, Xiao H, Xu X 2012 Chin. Opt. Lett. 10 111402
[35]	Su R, Zhou P, Wang X, L H, Xu X 2014 Opt. Commun. 316 86

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