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一种双光梳多外差大尺寸高精度绝对测距新方法的理论分析

王国超 颜树华 杨俊 林存宝 杨东兴 邹鹏飞

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一种双光梳多外差大尺寸高精度绝对测距新方法的理论分析

王国超, 颜树华, 杨俊, 林存宝, 杨东兴, 邹鹏飞

Analysis of an innovative method for large-scale high-precision absolute distance measurement based on multi-heterodyne interference of dual optical frequency combs

Wang Guo-Chao, Yan Shu-Hua, Yang Jun, Lin Cun-Bao, Yang Dong-Xing, Zou Peng-Fei
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  • 本文提出了一种双光梳多外差大尺寸高精度绝对测距的新方法, 结合基于双光梳互相关的多外差距离测量和基于重复频率的梳间拍频距离测量, 在不需要依靠脉冲飞行时间先验判断以及扫描重复频率或扫描参考光路的前提下实现km量程高精度绝对测距. 文章在光梳基本原理和测距方案的基础上, 建立了基于双光梳的大尺寸距离测量链理论模型, 讨论了多外差最低谱线和光梳重复频率稳定度对测量结果的影响, 并进行了大量仿真计算; 仿真结果表明, 在理想相位解调精度的前提下, 该方法的测距误差优于± 50 pm, 且多外差最低谱线的频率偏差对测距造成的影响远低于多外差测量的测距分辨力, 验证了该方法能够用于开展大尺寸高精度绝对测距研究.
    Femtosecond optical frequency comb (FOFC) has been widely used in time-frequency technique and precision spectral measurement. The derivative technique for absolute distance measurement by FOFC, which has features of high-speed, large-scale and high-precision, has become a worldwide research hotspot and is promising to be directly applied in some precision ranging missions, such as large equipment manufacturing, satellites formation flying, laser radar and space gravitation measurement, etc. An innovative method for large-scale and high-precision absolute distance measurement based on multi-heterodyne of dual FOFCs, is proposed in this paper. This method combines the multi-heterodyne cross-correlation distance measurement of dual optical combs with the beat-frequency distance measurement based on repetition frequency of the comb, so that it achieves large-scale and high-precision absolute distance measurement without relying on the earlier judgment with time-of-flight measurement, scanning the repetition frequency or scanning the reference beam path. Based on the basic theory of FOFC and the ranging scheme, the theoretical model for large scale distance measurement chain based on dual FOFCs has been constructed; influence of the multi-heterodyne lowest spectral lines and the repetition frequency stability on the measurement results has been discussed, and lots of simulation calculations have been done. Simulation results show that the method has achieved measurement errors better than ± 50 pm on the premise of not considering the phase demodulation accuracy, and the impact caused by the deviation of the lowest multi-heterodyne spectrum is figured out to be far below the ranging resolution of the multi-heterodyne measurement, which has verified that the proposed method may be used to realize large-scale and high-precision absolute distance measurement.
    • 基金项目: 国家自然科学基金(批准号: 51275523)、国防科技大学优秀研究生创新项目(批准号: B120305)和湖南省研究生科研创新项目(批准号: CX2012B015)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51275523), the Excellent Graduate Innovative Fund of NUDT (Grant No. B120305), and the Graduate Innovative Research Fund of Hunan Province (Grant No. CX2012B015).
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    [29]

    Zhang W, Han H N, Teng H, Wei Z Y 2009 Chin. Phys. B 18 1105

    [30]

    Dong W, Satoru T, Kiyoshi T, Hirokazu M 2009 Optics Express 17 7011

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    Shuko Y, Toshiyuki Y, Yuki H, Tsutomu A, Takeshi Y 2009 Optics Express 17 17324

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  • [1]

    Shelus P J 2001 Surveys in Geophysics 22 517

    [2]

    Peggs G N, Maropoulos P G, Hughes E B, Forbes A B, Robson S, Ziebart M, Muralikrishnan B 2009 Proc. IMechE 223 571

    [3]

    Kopeikin S M, Pavlis E, Pavlis D, Brumberg V A, Escapa A, Getino J, Gusev A, Muller J, Ni W T, Petrova N 2008 Advances in Space Research 42 1378

    [4]

    Battat J B R, Chandler J F, Stubbs C W 2007 Phys. Rev. Lett. 99 241103

    [5]

    Keem T, Gonda S, Misumi I, Huang Q X, Kurosawa T 2004 Applied Optics 43 2443

    [6]

    Kim J W, Kang C S, Kim J A, Eom T, Cho M J, Kong H J 2007 Optics Express 15 15759

    [7]

    Liu Q, Huang Y, Cao J, Ou B Q, Guo B, Guan H, Huang X R, Gao K L 2011 Chin. Phys. Lett. 28 013201

    [8]

    Hall J L 2006 Reviews of Modern Physics 78 1279

    [9]

    Meng F, Cao S Y, Cai Y, Wang G Z, Cao J P, Li T C, Fang Z J 2011 Acta Phys. Sin. 6 100601 (in Chinese) [孟飞, 曹士英, 蔡岳, 王贵重, 曹建平, 李天初, 方占军 2011 物理学报 60 100601]

    [10]

    Nathan R N 2011 nature photonics 5 186

    [11]

    Hall J L 2011 Phil. Trans. R. Soc. A 369 4090

    [12]

    Kim S W 2009 Nature Photonics 3 313

    [13]

    Minoshima K, Matsumoto H 2000 Applied Optics 39 5512

    [14]

    Scott A. Diddams 2010 J. Opt. Soc. Am. B 27 B51

    [15]

    Cao S Y, Meng F, Lin B K, Fang Z J, Li T C 2012 Acta Phys. Sin. 61 134205 (in Chinese) [曹士英, 孟飞, 林百科, 方占军, 李天初 2012 物理学报 61 134205]

    [16]

    Schliesser A, Picqué N, Hänsch T W 2012 Nature Photonics 6 440

    [17]

    Kim S M, Kim Y S, Park J Y, Han S Y, Park S, Kim Y J, Kim S W 2012 Optics Express 20 15054

    [18]

    Meng F, Cao S Y, Cai Y, Wang G Z, Cao J P, Li T C, Fang Z J 2011 Acta Phys. Sin. 60 100601 (in Chinese) [孟飞, 曹士英, 蔡岳, 王贵重, 曹建平, 李天初, 方占军 2012 物理学报 60 100601]

    [19]

    Ye J 2004 Optics Letters 29 1153

    [20]

    Dong W, Satoru T, Kiyoshi T, Hirokazu M 2011 Optics Express 19 4881

    [21]

    Nicolas S, Yves S 2006 Optics Letters 31 3101

    [22]

    Joo K N, Kim S W 2006 Optics Express 14 5954

    [23]

    Berg S A, Persijn S T, Kok G J P 2012 Phys. Rev. Lett. 108 183901

    [24]

    Coddington I, Swann W C, Nenadovic L 2009 Nature Photonics 3 351

    [25]

    Lee J, Kim Y, Lee K 2010 Nature Photonics 4 716

    [26]

    Joo K N, Kim Y, Kim S W 2008 Optics Express 16 19799

    [27]

    Han H N, Zhang W, Wang P, Li D H, Wei Z Y, Shen N C, Nie Y X, Gao Y P, Zhang S G, Li S Q 2007 Acta Phys. Sin. 56 2760 (in Chinese) [韩海年, 张炜, 王鹏, 李德华, 魏志义, 沈乃, 聂玉昕, 高玉平, 张首刚, 李师群 2007 物理学报 56 2760]

    [28]

    Ye J, Cundiff S T 2004 Femtosecond Optical Frequency Comb: Principle, Operation, and Applications (1st Ed.) (Springer Norwell, MA) p11

    [29]

    Zhang W, Han H N, Teng H, Wei Z Y 2009 Chin. Phys. B 18 1105

    [30]

    Dong W, Satoru T, Kiyoshi T, Hirokazu M 2009 Optics Express 17 7011

    [31]

    Shuko Y, Toshiyuki Y, Yuki H, Tsutomu A, Takeshi Y 2009 Optics Express 17 17324

    [32]

    Zhang J T, Wu X J Li Y Wei H Y 2012 Acta Phys. Sin. 61 100601 (in Chinese) [张继涛, 吴学健, 李岩, 尉昊赟 2012 物理学报 61 100601]

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出版历程
  • 收稿日期:  2012-09-25
  • 修回日期:  2012-12-03
  • 刊出日期:  2013-04-05

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