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Chin. Phys. B, 2022, Vol. 31(6): 064201    DOI: 10.1088/1674-1056/ac448a

Influence of optical nonlinearity on combining efficiency in ultrashort pulse fiber laser coherent combining system

Yun-Chen Zhu(朱云晨)1, Ping-Xue Li(李平雪)1,†, Chuan-Fei Yao(姚传飞)1, Chun-Yong Li(李春勇)2, Wen-Hao Xiong(熊文豪)1, and Shun Li(李舜)1
1 Institute of Ultrashort Pulsed Laser and Application, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China;
2 Department of Physics, Durham University, South Road, Durham DH13 LE, UK
Abstract  The influence of optical nonlinearity on combining efficiency in ultrashort pulse fiber laser coherent combining system is investigated theoretically and experimentally. In the theoretical work, a new theoretical algorithm is presented for the coherent combining efficiency, which can be used to quantify the spectral coherence decay induced by optical nonlinearity imbalance between the sub-beams. The spectral information of the sub-beam is obtained by numerically solving the nonlinear Schrödinger equation (NLSE) in this algorithm to ensure an accurate prediction. In the experimental work, the coherent combining of two all-fiber picosecond lasers is achieved, and the influence of imbalanced optical nonlinearity on the combining efficiency is studied, which agrees with the theoretical prediction. This paper reveals the physical mechanism for the influence of optical nonlinearity on the combining efficiency, which is valuable for the coherent combining of ultrashort pulse fiber laser beams.
Keywords:  coherent beam combination      spectral coherence      optical nonlinearity  
Received:  24 August 2021      Revised:  10 December 2021      Accepted manuscript online:  18 December 2021
PACS:  42.25.Kb (Coherence)  
  42.55.Wd (Fiber lasers)  
  42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation)  
Fund: Project supported by the Key Program of Beijing Municipal Natural Science Foundation, China (Grant No. KZ201910005006), the National Natural Science Foundation of China (Grant No. 62005004), Natural Science Foundation of Beijing Municipality, China (Grant No. 4204091), and National Science Foundation for Post-doctor Scientists of China (Grant No. 212423).
Corresponding Authors:  Ping-Xue Li     E-mail:

Cite this article: 

Yun-Chen Zhu(朱云晨), Ping-Xue Li(李平雪), Chuan-Fei Yao(姚传飞), Chun-Yong Li(李春勇),Wen-Hao Xiong(熊文豪), and Shun Li(李舜) Influence of optical nonlinearity on combining efficiency in ultrashort pulse fiber laser coherent combining system 2022 Chin. Phys. B 31 064201

[1] Nilsson J and Payne D N 2011 Science 332 921
[2] Shi W, Fang Q, Zhu X S, Norwood R A and Peyghambarian N 2014 Appl. Opt. 53 6554
[3] Mourou G, Brocklesby B, Tajima T and Limpert J 2013 Nat. Photonics 7 258
[4] Dawson J W, Messerly M J, Beach R J, Shverdin M Y, Stappaerts E A, Sridharan A K, Pax P H, Heebner J E, Siders C W and Barty C P J 2008 Opt. Express 16 13240
[5] Eidam T, Wirth C, Jauregui C, Stutzki F, Jansen F, Otto H, Schmidt O, Schreiber T, Limpert J and Tuennermann A 2011 Opt. Express 19 13218
[6] Jauregui C, Limpert J and Tuennermann A 2013 Nat. Photonics 7 861
[7] Fan T Y 2005 IEEE J. Sel. Top. Quantum Electron. 11 567
[8] Wang J S, Zhang Y, Wang J L, Wei Z Y and Chang G Q 2021 Acta Phys. Sin. 70 034206 (in Chinese)
[9] Limpert J, Klenke A, Kienel M, Breitkopf S, Eidam T, Haedrich S, Jauregui C and Tuennermann A 2014 IEEE J. Sel. Top. Quantum Electron. 20 268
[10] Muller M, Aleshire C, Klenke A, Haddad E, Legare F, Tuennermann A and Limpert J 2020 Opt. Lett. 45 3083
[11] Stark H, Buldt J, Mueller M, Klenke A and Limpert J 2021 Opt. Lett. 46 969
[12] Fsaifes I, Daniault L, Bellanger S, Veinhard M, Bourderionnet J, Larat C, Lallier E, Durand E, Brignon A and Chanteloup J 2020 Opt. Express 28 20152
[13] Huang P, Fang S B, Huang H D, Hou X and Wei Z Y 2018 Acta Phys. Sin. 67 244204 (in Chinese)
[14] Klenke A, Seise E, Limpert J and Tuennermann A 2011 Opt. Express 19 25379
[15] Goodno G D, Shih C and Rothenberg J E 2010 Opt. Express 18 25403
[16] Leshchenko V E 2015 Opt. Express 23 15944
[17] Ma P F, Zhou P, Wang X L, Ma Y X, Su R T and Liu Z J 2013 Opt. Express 21 29666
[18] Ma P F, Wang X L, Ma Y X, Zhou P and Liu Z J 2014 Opt. Express 22 16538
[19] Zhou P, Chen Z L, Wang X L, Li X, Liu Z J and Xu X J 2009 Chin. Opt. Lett. 7 39
[20] Ma P F, Zhou P, Ma Y X, Su R T and Liu Z J 2012 Appl. Opt. 51 3546
[21] Ma P F, Lu Y, Zhou P, Wang X L, Ma Y X and Liu Z J 2014 Opt. Express 22 27321
[22] Perry M D, Ditmire T and Stuart B C 1994 Opt. Lett. 19 2149
[23] Kuznetsova L and Wise F W 2007 Opt. Lett. 32 2671
[24] Kalaycioglu H, Oktem B, Senel C, Paltani P P and Ilday F O 2010 Opt. Lett. 35 959
[25] Palese S, Cheung E, Goodno G, Shih C, Teodoro F D, McComb T and Weber M 2012 Opt. Express 20 7422
[26] Liu X M, Wang L R, Mao D and Duan L N 2011 Proceedings of the 15th Nation Optical Fiber Communication and the 16$th Integrated Optics Conference, June 26, 2011, Xi'an, China, p. 5 (in Chinese)
[27] Yu H L, Ma P F, Wang X L, Su R T, Zhou P and Chen J B 2015 Laser Phys. Lett. 12 105301
[28] Uberna R, Bratcher A and Tiemann B G 2010 IEEE J. Quantum Electron. 46 1191
[29] Su R T, Zhou P, Zhang P F, Wang X L, Ma Y X and Ma P F 2018 Infrared Laser and Engineering 47 0103001
[30] Muller M, Klenke A, Stark H, Buldt J, Gottschall T, Tunnermann A and Limpert J 2018 Proceedings of SPIE, Fiber Laser XV: Technology and Systems, February 26, 2018, San Francisco, United States, 1051208
[31] Vorontsov M A, Carhart G W and Ricklin J C 1997 Opt. Lett. 22 907
[32] Shay T M 2006 Opt. Express 14 12188
[33] Ma P F, Zhou P, Ma Y X, Su R T and Liu Z J 2012 Chin. Phys. B. 21 094206
[34] Siiman L A, Chang W, Zhou T and Galvanauskas A 2012 Opt. Express 20 18097
[35] Agrawal G 2014 Nonlinear Fiber Optics, 5th edn. (Chinese edition translated by Jia D et al.) (Beijing: Publishing House of Electronics Industry) p. 31
[36] Ma P F 2016 Study on coherent polarization beam combining system of high power fiber lasers (Ph. D. Dissertation) (Changsha: National University of Defense Technology) (in Chinese)
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