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Influence of temporal error with different pulse shapes on coherent beam combination system

Su Rong-Tao Zhou Pu Wang Xiao-Lin Ji Xiang Xu Xiao-Jun

Influence of temporal error with different pulse shapes on coherent beam combination system

Su Rong-Tao, Zhou Pu, Wang Xiao-Lin, Ji Xiang, Xu Xiao-Jun
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  • Coherent beam combination of fiber laser array is an important technology for high-power output fiber laser systems. However, the coherent beam combination is influenced by temporal error, which always exists in the laser array. The coherent beam combination of pulse fiber lasers in the presence of temporal error is investigated in theory in this paper. The effects of pulse shape and temporal error on the coherently combined beam are studied. The characteristics of combined beam, i.e. pulse shape, peak power, far-field pattern and power in barrel (PIB) are calculated and analyzed when the pulse shapes (including square, triangle and sine) and temporal errors are different. It is revealed that for coherently combining square pulse lasers, the pulse shape of the combined beam changes acutely because of temporal error, and the far-field pattern and PIB change proportionally with temporal error increasing; for coherently combining triangle pulse lasers, the pulse shape and the peak power of the combined beam are acutely influenced by temporal error, and the far-field pattern and the PIB change acutely when temporal error is large. It is revealed that coherently combined beam of sinusoidal pulse lasers has good characteristics when two pulse laser with sinusoidal pulse shapes are coherently combined and the time delay between the two pulses is less than 10% of pulse duration.
    [1]

    Zhao H M, Lou Q H, Zhou J, Dong J X, Wei Y R, Wang Z J 2008 Acta Phys. Sin. 57 3525 (in Chinese) [赵宏明, 楼祺洪, 周军, 董景星, 魏运荣, 王之江 2008 物理学报 57 3525]

    [2]

    Liu Y, Cheng Y, Xu L X, Zheng R, Wang X B, Wang H S, Lu C Y, Sun B 2009 Acta Phys. Sin. 58 3929 (in Chinese) [刘洋, 程勇, 许立新, 郑睿, 王小兵, 王会升, 卢常勇, 孙斌 2009 物理学报 58 3929]

    [3]

    Wang J M, Duan K L, Wang Y S 2008 Acta Phys. Sin. 57 5627 (in Chinese) [王建明, 段开椋, 王屹山 2008 物理学报 57 5627]

    [4]

    Yang R F, Yang P, Shen F 2009 Acta Phys. Sin. 58 8297 (in Chinese) [杨若夫, 杨平, 沈锋 2009 物理学报 58 8297]

    [5]

    Xue Y H, Zhou J, He B, Li Z, Qi Y F, Liu C, Lou Q H 2010 Acta Phys. Sin. 59 7869 (in Chinese) [薛宇豪, 周军, 何兵, 李震, 漆云凤, 刘驰, 楼祺洪 2010 物理学报 59 7869]

    [6]

    Fan X Y, Liu J J, Liu J S, Wu J L 2010 Acta Phys. Sin. 59 2462 (in Chinese) [范馨燕, 刘京郊, 刘金生, 武敬力 2010 物理学报 59 2462]

    [7]

    Paurisse M, Hanna M, Druon F, Georges P 2010 Opt. Lett. 35 1428

    [8]

    Zhou P, Chen Z L, Wang X L, Li X, Liu Z J, Xu X J, Hou J, Jiang Z F 2008 Chin. Opt. Lett. 6 523

    [9]

    Wang X L, Zhou P, Ma Y X, Ma H T, Xu X J, Liu Z J, Zhao Y J 2010 Laser Phys. 20 1453

    [10]

    Lombard L, Azarian A, Cadoret K, Bourdon P, Goular D, Canat G, Jolivet V, Jaouën Y, Vasseur O 2011 Opt. Lett. 36 523

    [11]

    Daniault L, Hanna M, Lombard L, Zaouter Y, Mottay E, Goular D, Bourdon P, Druon F, Georges P 2011 Opt. Lett. 36 621

    [12]

    Zhang M, Kelleher E J R, Pozharov A S, Obraztsova E D, Popov S V, Taylor J R 2011 Opt. Lett. 36 3984

    [13]

    Lü B, Ma H 2000 Appl. Opt. 39 1279

    [14]

    Zhou P, Liu Z, Xu X J, Chen Z L 2008 Appl. Opt. 47 3350

    [15]

    Xiao R, Zhou P, Hou J, Jiang Z F, Liu M 2007 Acta Phys. Sin. 56 819 (in Chinese) [肖瑞, 周朴, 侯静, 姜宗福, 刘明 2007 物理学报 56 819]

    [16]

    Zhou P, Chen Z L, Wang X L, Li X, Liu Z J, Xu X 2009 Chin. Opt. Lett. 7 39

    [17]

    Seise E, Klenke A, Limpert J, Tünnermann A 2010 Opt. Express 18 27828

    [18]

    Schmidt O, Andersen T V, Limpert J, Tünnermann A 2009 Opt. Lett. 34 226

    [19]

    Yu C X, Augst S J, Redmond S M, Goldizen K C, Murphy D V, Sanchez A, Fan T Y 2011 Opt. Lett. 36 2686

  • [1]

    Zhao H M, Lou Q H, Zhou J, Dong J X, Wei Y R, Wang Z J 2008 Acta Phys. Sin. 57 3525 (in Chinese) [赵宏明, 楼祺洪, 周军, 董景星, 魏运荣, 王之江 2008 物理学报 57 3525]

    [2]

    Liu Y, Cheng Y, Xu L X, Zheng R, Wang X B, Wang H S, Lu C Y, Sun B 2009 Acta Phys. Sin. 58 3929 (in Chinese) [刘洋, 程勇, 许立新, 郑睿, 王小兵, 王会升, 卢常勇, 孙斌 2009 物理学报 58 3929]

    [3]

    Wang J M, Duan K L, Wang Y S 2008 Acta Phys. Sin. 57 5627 (in Chinese) [王建明, 段开椋, 王屹山 2008 物理学报 57 5627]

    [4]

    Yang R F, Yang P, Shen F 2009 Acta Phys. Sin. 58 8297 (in Chinese) [杨若夫, 杨平, 沈锋 2009 物理学报 58 8297]

    [5]

    Xue Y H, Zhou J, He B, Li Z, Qi Y F, Liu C, Lou Q H 2010 Acta Phys. Sin. 59 7869 (in Chinese) [薛宇豪, 周军, 何兵, 李震, 漆云凤, 刘驰, 楼祺洪 2010 物理学报 59 7869]

    [6]

    Fan X Y, Liu J J, Liu J S, Wu J L 2010 Acta Phys. Sin. 59 2462 (in Chinese) [范馨燕, 刘京郊, 刘金生, 武敬力 2010 物理学报 59 2462]

    [7]

    Paurisse M, Hanna M, Druon F, Georges P 2010 Opt. Lett. 35 1428

    [8]

    Zhou P, Chen Z L, Wang X L, Li X, Liu Z J, Xu X J, Hou J, Jiang Z F 2008 Chin. Opt. Lett. 6 523

    [9]

    Wang X L, Zhou P, Ma Y X, Ma H T, Xu X J, Liu Z J, Zhao Y J 2010 Laser Phys. 20 1453

    [10]

    Lombard L, Azarian A, Cadoret K, Bourdon P, Goular D, Canat G, Jolivet V, Jaouën Y, Vasseur O 2011 Opt. Lett. 36 523

    [11]

    Daniault L, Hanna M, Lombard L, Zaouter Y, Mottay E, Goular D, Bourdon P, Druon F, Georges P 2011 Opt. Lett. 36 621

    [12]

    Zhang M, Kelleher E J R, Pozharov A S, Obraztsova E D, Popov S V, Taylor J R 2011 Opt. Lett. 36 3984

    [13]

    Lü B, Ma H 2000 Appl. Opt. 39 1279

    [14]

    Zhou P, Liu Z, Xu X J, Chen Z L 2008 Appl. Opt. 47 3350

    [15]

    Xiao R, Zhou P, Hou J, Jiang Z F, Liu M 2007 Acta Phys. Sin. 56 819 (in Chinese) [肖瑞, 周朴, 侯静, 姜宗福, 刘明 2007 物理学报 56 819]

    [16]

    Zhou P, Chen Z L, Wang X L, Li X, Liu Z J, Xu X 2009 Chin. Opt. Lett. 7 39

    [17]

    Seise E, Klenke A, Limpert J, Tünnermann A 2010 Opt. Express 18 27828

    [18]

    Schmidt O, Andersen T V, Limpert J, Tünnermann A 2009 Opt. Lett. 34 226

    [19]

    Yu C X, Augst S J, Redmond S M, Goldizen K C, Murphy D V, Sanchez A, Fan T Y 2011 Opt. Lett. 36 2686

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    [4] Geng Chao, Li Xin-Yang, Zhang Xiao-Jun, Rao Chang-Hui. Influence and simulated correction of tip/tilt phase error on fiber laser coherent beam combination. Acta Physica Sinica, 2011, 60(11): 114202. doi: 10.7498/aps.60.114202
    [5] Geng Chao, Li Xin-Yang, Zhang Xiao-Jun, Rao Chang-Hui. Experimental investigation on coherent beam combination of a three-element fiber array based on target-in-the-loop technique. Acta Physica Sinica, 2012, 61(3): 034204. doi: 10.7498/aps.61.034204
    [6] Li Jian-Long, Feng Guo-Ying, Zhou Shou-Huan, Li Wei. Study of the M2 factor for the single-aperture coherent laser beam synthesis system. Acta Physica Sinica, 2012, 61(9): 094206. doi: 10.7498/aps.61.094206
    [7] Zhu Ya-Dong, Xiao Hu, Wang Xiao-Lin, Ma Yan-Xing, Zhou Pu. Coherent beam combination of two high power double clad fiber lasers by using an all-fiber Michelson cavity. Acta Physica Sinica, 2012, 61(5): 054210. doi: 10.7498/aps.61.054210
    [8] Lian Tian-Hong, Wang Shi-Yu, Guo Zhen, Li Bing-Bin, Cai De-Fang, Wen Jian-Guo. A coherently combined laser beam for lidar. Acta Physica Sinica, 2011, 60(12): 124208. doi: 10.7498/aps.60.124208
    [9] Xiao Rui, Hou Jing, Jiang Zong-Fu. Effect of partial coherence laser arrays on far-field output properties. Acta Physica Sinica, 2008, 57(2): 853-859. doi: 10.7498/aps.57.853
    [10] Xiao Rui, Zhou Pu, Hou Jing, Jiang Zong-Fu, Liu Ming. Effect of partial coherence of laser has on the irradiance distribution of coherent combining of fiber laser arrays in far field. Acta Physica Sinica, 2007, 56(2): 819-823. doi: 10.7498/aps.56.819
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  • Received Date:  18 July 2011
  • Accepted Date:  28 April 2012
  • Published Online:  20 April 2012

Influence of temporal error with different pulse shapes on coherent beam combination system

  • 1. College of Optic-electric Science and Engineering, National University of Defense Technology, Changsha 410073, China

Abstract: Coherent beam combination of fiber laser array is an important technology for high-power output fiber laser systems. However, the coherent beam combination is influenced by temporal error, which always exists in the laser array. The coherent beam combination of pulse fiber lasers in the presence of temporal error is investigated in theory in this paper. The effects of pulse shape and temporal error on the coherently combined beam are studied. The characteristics of combined beam, i.e. pulse shape, peak power, far-field pattern and power in barrel (PIB) are calculated and analyzed when the pulse shapes (including square, triangle and sine) and temporal errors are different. It is revealed that for coherently combining square pulse lasers, the pulse shape of the combined beam changes acutely because of temporal error, and the far-field pattern and PIB change proportionally with temporal error increasing; for coherently combining triangle pulse lasers, the pulse shape and the peak power of the combined beam are acutely influenced by temporal error, and the far-field pattern and the PIB change acutely when temporal error is large. It is revealed that coherently combined beam of sinusoidal pulse lasers has good characteristics when two pulse laser with sinusoidal pulse shapes are coherently combined and the time delay between the two pulses is less than 10% of pulse duration.

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