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In coherent combination of active phase control, there have existed three main phase detection techniques until now, they are heterodyne phase detection technique, multi-dithering technique and stochastic parallel gradient descent algorithm. A new phase detection method based on phase modulation and demodulation is proposed according to the principle of heterodyne phase detection and multi-dithering technique. Periodic phase modulation signal is implemented on a reference laser, and the coherent detection is carried on between the reference laser and the signal laser. With some processing of the modulation signal and the coherent detected optoelectronic signal, the phase noise is detected and the noise compensation can be realized. Numerical simulation and experimental studies are conducated. Experimental results show that the phase detection accuracy is higher than 1/50 wavelength and the average phase compensation residual error is less than 1/50 wavelength in the case of a 2 kHz sine wave phase noise with a phase region of
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Keywords:
- fiber laser /
- coherent combination /
- phase noise detection /
- modulation-demodulation
[1] Richardson D J, Nilsson J, Clarkson W A 2010 J. Opt. Soc. Am. B 27 B63
[2] He B, Lou Q H, Zhou J, Zheng Y H, Xue D, Dong J X, Wei Y R, Zhang F P, Qi Y F, Zhu J Q, Li J Y, Li S Y, Wang Z J 2007 Chin. Opt. Lett. 5 412
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[6] [7] Goodno G D, Komine H, Mcnaught S J, Weiss S B, Redmond S, Long W, Simpson R, Cheung E C, Howland D, Epp P, Weber M, Weber M, Mcclellan M, Sollee J, Injeyan H 2006 Opt. Lett. 31 1247
[8] He B, Lou Q H, Zhou J, Dong J X, Wei Y R, Xue D, Qi Y F, Su Z P, Li L B, Zhang F P 2006 Opt. Express 14 2721
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[14] Shay T M, Benham V, Baker J T 2007 IEEE J. Sel. Top. Quantum Electron. 13 480
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[20] Jolivet V, Bourdon P, Bennai B, Lombard L, Goular D, Pourtal E, Canat G, Jaouen Y, Moreau B, Vasseur O 2009 IEEE J. Sel. Top. Quantum Electron. 15 257
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[26] Liu Z J, Hou J, Xu X J, Feng Y, Zhou P, Chen Z L, Ma Y X, Wang X L, Lei B, Cao J Q 2009 Chin. J. Lasers 36 2273 (in Chinese) [刘泽金、侯 静、许晓军、冯 莹、周 朴、陈子伦、马阎星、王小林、雷 兵、曹涧秋 2009 中国激光 36 2273]
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[36] [37] Wang X L, Zhou P, Ma H T, Chen Z L, Li X, Xu X J, Liu Z J 2009 Chin. Phys. Lett. 26 5421
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[46] Xiao R, Hou J, Jiang Z F, Liu M 2006 Acta Phys. Sin. 55 6464 (in Chinese) [肖 瑞、侯 静、姜宗福、刘 明 2006 55 6464]
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[50] Vorontsov M A, Weyrauch T, Beresnev L A, Carhart G W, Liu L, Aschenbach K 2009 IEEE J. Sel. Top. Quantum Electron. 15 269
[51] [52] Zhou P, Wang X L, Ma Y X, Ma H T, Liu Z J 2010 Opt. Lett. 35 950
[53] [54] Wang X L, Zhou P, Ma Y X, Ma H T, Xu X J, Liu Z J, Zhao Y J 2010 Laser Phys. 20 158
[55] [56] [57] Wang X L, Zhou P, Ma Y X, Ma H T, Xu X J, Liu Z J, Zhao Y J 2010 Acta Phys. Sin. 59 973 (in Chinese) [王小林、周 朴、马阎星、马浩统、许晓军、刘泽金、赵伊君 2010 59 973]
[58] Goodno G D, Book L D, Rothenberg J E 2009 Opt. Lett. 34 1204
[59] -
[1] Richardson D J, Nilsson J, Clarkson W A 2010 J. Opt. Soc. Am. B 27 B63
[2] He B, Lou Q H, Zhou J, Zheng Y H, Xue D, Dong J X, Wei Y R, Zhang F P, Qi Y F, Zhu J Q, Li J Y, Li S Y, Wang Z J 2007 Chin. Opt. Lett. 5 412
[3] [4] [5] Zhou P 2009 Ph.D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [周 朴 2009 博士学位论文 (长沙: 国防科学技术大学)]
[6] [7] Goodno G D, Komine H, Mcnaught S J, Weiss S B, Redmond S, Long W, Simpson R, Cheung E C, Howland D, Epp P, Weber M, Weber M, Mcclellan M, Sollee J, Injeyan H 2006 Opt. Lett. 31 1247
[8] He B, Lou Q H, Zhou J, Dong J X, Wei Y R, Xue D, Qi Y F, Su Z P, Li L B, Zhang F P 2006 Opt. Express 14 2721
[9] [10] [11] Shay T M 2006 Opt. Express 14 12188
[12] [13] Goodno G D, Asman C P, Anderegg J, Brosnan S, Cheung E C, Hammo D, Injeyan H, Komine H, Long W H, Mcclellan M Jr, Mcnau S J, Redmond S, Simpson R, Sollee J, Weber M, Weiss S B, Wickham M 2007 IEEE J. Sel. Top. Quantum Electron. 13 460
[14] Shay T M, Benham V, Baker J T 2007 IEEE J. Sel. Top. Quantum Electron. 13 480
[15] [16] Xiao R 2007 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [肖 瑞 2007 博士学位论文 (长沙: 国防科学技术大学)]
[17] [18] [19] Li J F, Duan K L, Wang J M, Wang Y S, Zhao W, Guo Y K 2008 Acta Opt. Sin. 28 923 [李剑峰、段开椋、王建明、王屹山、赵 卫、郭永康 2008 光学学报 28 923]
[20] Jolivet V, Bourdon P, Bennai B, Lombard L, Goular D, Pourtal E, Canat G, Jaouen Y, Moreau B, Vasseur O 2009 IEEE J. Sel. Top. Quantum Electron. 15 257
[21] [22] [23] Stuart J M, Hiroshi K, Weiss S B, Randy S, Adam M J, Jason M, Charles P A, Mark W, Gina C J, Marcy M V, Andrew J, David B, Michael M, Jeff S, Jay M, Hagop I 2009 Conference on Lasers and Electro-Optics/International Quantum Electronics Conference (Washington: Optical Society of America) CThA1
[24] [25] Cheng Y, Liu Y, Xu L X, Zheng R 2009 Chin. J. Lasers 36 77 (in Chinese) [程 勇、刘 洋、许立新、郑 睿 2009 中国激光 36 77]
[26] Liu Z J, Hou J, Xu X J, Feng Y, Zhou P, Chen Z L, Ma Y X, Wang X L, Lei B, Cao J Q 2009 Chin. J. Lasers 36 2273 (in Chinese) [刘泽金、侯 静、许晓军、冯 莹、周 朴、陈子伦、马阎星、王小林、雷 兵、曹涧秋 2009 中国激光 36 2273]
[27] [28] [29] Ma Y X, Zhou P, Wang X L, Ma H T, Xu X J, Si L, Liu Z J, Zhao Y J 2010 Opt. Lett. 35 1308
[30] [31] Zhou P, Ma Y X, Wang X L, Ma H T, Xu X J, Liu Z J 2010 Chin. Phys. B 19 24201
[32] [33] 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 57 5627]
[34] [35] Yang R F, Yang P, Shen F 2009 Acta Phys. Sin. 58 8297 (in Chinese) [杨若夫、杨 平、沈 锋 2009 58 8297]
[36] [37] Wang X L, Zhou P, Ma H T, Chen Z L, Li X, Xu X J, Liu Z J 2009 Chin. Phys. Lett. 26 5421
[38] Wang B, Mies E, Minden M, Sanchez A 2009 Opt. Lett. 34 863
[39] [40] Kong F, Liu L, Sanders C, Chen Y C, Lee K K 2007 Appl. Phys. Lett. 90 151110
[41] [42] Corcoarn C J, Durville F 2005 Appl. Phys. Lett. 86 20118
[43] [44] [45] Ma Y X, Liu Z J, Zhou P, Wang X L, Ma H T, Li X, Si L, Xu X J 2009 Chin. Phys. Lett. 26 44204
[46] Xiao R, Hou J, Jiang Z F, Liu M 2006 Acta Phys. Sin. 55 6464 (in Chinese) [肖 瑞、侯 静、姜宗福、刘 明 2006 55 6464]
[47] [48] [49] Augst S J, Fan T Y, Sanchez A 2004 Opt. Lett. 29 474
[50] Vorontsov M A, Weyrauch T, Beresnev L A, Carhart G W, Liu L, Aschenbach K 2009 IEEE J. Sel. Top. Quantum Electron. 15 269
[51] [52] Zhou P, Wang X L, Ma Y X, Ma H T, Liu Z J 2010 Opt. Lett. 35 950
[53] [54] Wang X L, Zhou P, Ma Y X, Ma H T, Xu X J, Liu Z J, Zhao Y J 2010 Laser Phys. 20 158
[55] [56] [57] Wang X L, Zhou P, Ma Y X, Ma H T, Xu X J, Liu Z J, Zhao Y J 2010 Acta Phys. Sin. 59 973 (in Chinese) [王小林、周 朴、马阎星、马浩统、许晓军、刘泽金、赵伊君 2010 59 973]
[58] Goodno G D, Book L D, Rothenberg J E 2009 Opt. Lett. 34 1204
[59]
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