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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.
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Keywords:
- laser ranging /
- femtosecond optical frequency comb /
- repetition frequency /
- multi-heterodyne interference
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[19] Ye J 2004 Optics Letters 29 1153
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[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
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[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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[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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