Abstract

Dual-comb system parameters have significant impacts on the ranging accuracy. We present a theoretical model and a numerical simulation method for the parameter optimization of a dual-comb ranging system. With this method we investigate the impacts of repetition rate difference, repetition rate, and carrier-envelope-offset frequency on the ranging accuracy. Firstly, the simulation results suggest a series of discrete zones of repetition rate difference in an optimal range, which are consistent with the experimental results. Secondly, the simulation results of the repetition rate indicate that a higher repetition rate is very favorable to improve the ranging accuracy. Finally, the simulation results suggest a series of discrete optimal ranges of the carrier-envelope-offset frequency for the dual-comb system. The simulated results were verified by our experiments.

© 2015 Optical Society of America

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2015 (3)

2014 (6)

G. Wu, Q. Zhou, L. Shen, K. Ni, X. Zeng, and Y. Li, “Experimental optimization of the repetition rate difference in dual-comb ranging system,” Appl. Phys. Express 7(10), 106602 (2014).
[Crossref]

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
[Crossref] [PubMed]

H. Zhang, H. Wei, X. Wu, H. Yang, and Y. Li, “Absolute distance measurement by dual-comb nonlinear asynchronous optical sampling,” Opt. Express 22(6), 6597–6604 (2014).
[Crossref] [PubMed]

N. B. Hébert, S. Boudreau, J. Genest, and J. D. Deschênes, “Coherent dual-comb interferometry with quasi-integer-ratio repetition rates,” Opt. Express 22(23), 29152–29160 (2014).
[Crossref] [PubMed]

H. Wu, F. Zhang, S. Cao, S. Xing, and X. Qu, “Absolute distance measurement by intensity detection using a mode-locked femtosecond pulse laser,” Opt. Express 22(9), 10380–10397 (2014).
[Crossref] [PubMed]

2013 (3)

2012 (2)

S. Boudreau and J. Genest, “Referenced passive spectroscopy using dual frequency combs,” Opt. Express 20(7), 7375–7387 (2012).
[Crossref] [PubMed]

N. Kuse, A. Ozawa, and Y. Kobayashi, “Comb-resolved dual-comb spectroscopy stabilized by free-running continuous-wave lasers,” Appl. Phys. Express 5(11), 112402 (2012).
[Crossref]

2011 (3)

2010 (4)

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

N. R. Doloca, K. Meiners-Hagen, M. Wedde, F. Pollinger, and A. Abou-Zeid, “Absolute distance measurement system using a femtosecond laser as a modulator,” Meas. Sci. Technol. 21(11), 115302 (2010).
[Crossref]

T. Yasui, Y. Kabetani, Y. Ohgi, S. Yokoyama, and T. Araki, “Absolute distance measurement of optically rough objects using asynchronous-optical-sampling terahertz impulse ranging,” Appl. Opt. 49(28), 5262–5270 (2010).
[Crossref] [PubMed]

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

2009 (4)

2008 (4)

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Eur. Opt. Soc. 3, 08003 (2008).
[Crossref]

K.-N. Joo, Y. Kim, and S.-W. Kim, “Distance measurements by combined method based on a femtosecond pulse laser,” Opt. Express 16(24), 19799–19806 (2008).
[Crossref] [PubMed]

Y. Salvadé, N. Schuhler, S. Lévêque, and S. Le Floch, “High-accuracy absolute distance measurement using frequency comb referenced multiwavelength source,” Appl. Opt. 47(14), 2715–2720 (2008).
[Crossref] [PubMed]

I. Coddington, W. C. Swann, and N. R. Newbury, “Coherent multiheterodyne spectroscopy using stabilized optical frequency combs,” Phys. Rev. Lett. 100(1), 013902 (2008).
[Crossref] [PubMed]

2006 (3)

2004 (1)

2003 (1)

S. T. Cundiff and J. Ye, “Colloquium: Femtosecond optical frequency combs,” Rev. Mod. Phys. 75(1), 325–342 (2003).
[Crossref]

2002 (1)

S. T. Cundiff, “Phase stabilization of ultrashort optical pulses,” J. Phys. D Appl. Phys. 35(8), R43–R59 (2002).
[Crossref]

2000 (1)

Abou-Zeid, A.

N. R. Doloca, K. Meiners-Hagen, M. Wedde, F. Pollinger, and A. Abou-Zeid, “Absolute distance measurement system using a femtosecond laser as a modulator,” Meas. Sci. Technol. 21(11), 115302 (2010).
[Crossref]

Araki, T.

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

T. Yasui, Y. Kabetani, Y. Ohgi, S. Yokoyama, and T. Araki, “Absolute distance measurement of optically rough objects using asynchronous-optical-sampling terahertz impulse ranging,” Appl. Opt. 49(28), 5262–5270 (2010).
[Crossref] [PubMed]

Bae, E.

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

Balling, P.

Baumann, E.

Berg, S. A.

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Eur. Opt. Soc. 3, 08003 (2008).
[Crossref]

Bernhardt, B.

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

Bhattacharya, N.

Bitou, Y.

Boudreau, S.

Braat, J. J. M.

Cao, S.

Chun, B. J.

Coddington, I.

Cui, M.

Cui, P.

Cundiff, S. T.

S. T. Cundiff and J. Ye, “Colloquium: Femtosecond optical frequency combs,” Rev. Mod. Phys. 75(1), 325–342 (2003).
[Crossref]

S. T. Cundiff, “Phase stabilization of ultrashort optical pulses,” J. Phys. D Appl. Phys. 35(8), R43–R59 (2002).
[Crossref]

Dändliker, R.

Deschênes, J. D.

Doloca, N. R.

N. R. Doloca, K. Meiners-Hagen, M. Wedde, F. Pollinger, and A. Abou-Zeid, “Absolute distance measurement system using a femtosecond laser as a modulator,” Meas. Sci. Technol. 21(11), 115302 (2010).
[Crossref]

Genest, J.

Giorgetta, F. R.

Guelachvili, G.

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
[Crossref] [PubMed]

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

Guo, Y.

Han, S.

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

Hänsch, T. W.

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
[Crossref] [PubMed]

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

Hébert, N. B.

Hindle, F.

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Holzwarth, R.

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

N. Schuhler, Y. Salvadé, S. Lévêque, R. Dändliker, and R. Holzwarth, “Frequency-comb-referenced two-wavelength source for absolute distance measurement,” Opt. Lett. 31(21), 3101–3103 (2006).
[Crossref] [PubMed]

Hsieh, Y. D.

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Hu, M.

Hyun, S.

Ideguchi, T.

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
[Crossref] [PubMed]

Inaba, H.

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

G. Wu, M. Takahashi, H. Inaba, and K. Minoshima, “Pulse-to-pulse alignment technique based on synthetic-wavelength interferometry of optical frequency combs for distance measurement,” Opt. Lett. 38(12), 2140–2143 (2013).
[Crossref] [PubMed]

Iyonaga, Y.

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Jacquet, P.

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

Jacquey, M.

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

Jang, Y.-S.

Joo, K.-N.

Kabetani, Y.

Kang, H. J.

Kim, S.

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

Kim, S.-W.

G. Wang, Y.-S. Jang, S. Hyun, B. J. Chun, H. J. Kang, S. Yan, S.-W. Kim, and Y.-J. Kim, “Absolute positioning by multi-wavelength interferometry referenced to the frequency comb of a femtosecond laser,” Opt. Express 23(7), 9121–9129 (2015).
[Crossref] [PubMed]

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

S.-W. Kim, “Combs rule,” Nat. Photonics 3(6), 313–314 (2009).
[Crossref]

K.-N. Joo, Y. Kim, and S.-W. Kim, “Distance measurements by combined method based on a femtosecond pulse laser,” Opt. Express 16(24), 19799–19806 (2008).
[Crossref] [PubMed]

K.-N. Joo and S.-W. Kim, “Absolute distance measurement by dispersive interferometry using a femtosecond pulse laser,” Opt. Express 14(13), 5954–5960 (2006).
[Crossref] [PubMed]

Kim, Y.

Kim, Y.-J.

G. Wang, Y.-S. Jang, S. Hyun, B. J. Chun, H. J. Kang, S. Yan, S.-W. Kim, and Y.-J. Kim, “Absolute positioning by multi-wavelength interferometry referenced to the frequency comb of a femtosecond laser,” Opt. Express 23(7), 9121–9129 (2015).
[Crossref] [PubMed]

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

Knabe, K.

Kobayashi, Y.

N. Kuse, A. Ozawa, and Y. Kobayashi, “Comb-resolved dual-comb spectroscopy stabilized by free-running continuous-wave lasers,” Appl. Phys. Express 5(11), 112402 (2012).
[Crossref]

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

Kren, P.

Kuse, N.

N. Kuse, A. Ozawa, and Y. Kobayashi, “Comb-resolved dual-comb spectroscopy stabilized by free-running continuous-wave lasers,” Appl. Phys. Express 5(11), 112402 (2012).
[Crossref]

Le Floch, S.

Lee, J.

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

Lee, K.

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

Lee, S.

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
[Crossref]

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

Lévêque, S.

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G. Wu, Q. Zhou, L. Shen, K. Ni, X. Zeng, and Y. Li, “Experimental optimization of the repetition rate difference in dual-comb ranging system,” Appl. Phys. Express 7(10), 106602 (2014).
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N. Kuse, A. Ozawa, and Y. Kobayashi, “Comb-resolved dual-comb spectroscopy stabilized by free-running continuous-wave lasers,” Appl. Phys. Express 5(11), 112402 (2012).
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T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
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T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
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N. R. Doloca, K. Meiners-Hagen, M. Wedde, F. Pollinger, and A. Abou-Zeid, “Absolute distance measurement system using a femtosecond laser as a modulator,” Meas. Sci. Technol. 21(11), 115302 (2010).
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Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
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I. Coddington, W. C. Swann, and N. R. Newbury, “Coherent multiheterodyne spectroscopy using stabilized optical frequency combs,” Phys. Rev. Lett. 100(1), 013902 (2008).
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B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
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N. R. Doloca, K. Meiners-Hagen, M. Wedde, F. Pollinger, and A. Abou-Zeid, “Absolute distance measurement system using a femtosecond laser as a modulator,” Meas. Sci. Technol. 21(11), 115302 (2010).
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Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
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G. Wu, Q. Zhou, L. Shen, K. Ni, X. Zeng, and Y. Li, “Experimental optimization of the repetition rate difference in dual-comb ranging system,” Appl. Phys. Express 7(10), 106602 (2014).
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G. Wu, Q. Zhou, L. Shen, K. Ni, X. Zeng, and Y. Li, “Experimental optimization of the repetition rate difference in dual-comb ranging system,” Appl. Phys. Express 7(10), 106602 (2014).
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Appl. Opt. (3)

Appl. Phys. Express (2)

N. Kuse, A. Ozawa, and Y. Kobayashi, “Comb-resolved dual-comb spectroscopy stabilized by free-running continuous-wave lasers,” Appl. Phys. Express 5(11), 112402 (2012).
[Crossref]

G. Wu, Q. Zhou, L. Shen, K. Ni, X. Zeng, and Y. Li, “Experimental optimization of the repetition rate difference in dual-comb ranging system,” Appl. Phys. Express 7(10), 106602 (2014).
[Crossref]

J. Eur. Opt. Soc. (1)

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Eur. Opt. Soc. 3, 08003 (2008).
[Crossref]

J. Phys. D Appl. Phys. (1)

S. T. Cundiff, “Phase stabilization of ultrashort optical pulses,” J. Phys. D Appl. Phys. 35(8), R43–R59 (2002).
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Meas. Sci. Technol. (2)

J. Lee, S. Han, K. Lee, E. Bae, S. Kim, S. Lee, S.-W. Kim, and Y.-J. Kim, “Absolute distance measurement by dual-comb interferometry with adjustable synthetic wavelength,” Meas. Sci. Technol. 24(4), 045201 (2013).
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N. R. Doloca, K. Meiners-Hagen, M. Wedde, F. Pollinger, and A. Abou-Zeid, “Absolute distance measurement system using a femtosecond laser as a modulator,” Meas. Sci. Technol. 21(11), 115302 (2010).
[Crossref]

Nat. Commun. (1)

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5, 3375 (2014).
[Crossref] [PubMed]

Nat. Photonics (4)

B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Cavity-enhanced dual-comb spectroscopy,” Nat. Photonics 4(1), 55–57 (2010).
[Crossref]

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, “Time-of-flight measurement with femtosecond light pulses,” Nat. Photonics 4(10), 716–720 (2010).
[Crossref]

I. Coddington, W. C. Swann, L. Nenadovic, and N. R. Newbury, “Rapid and precise absolute distance measurements at long range,” Nat. Photonics 3(6), 351–356 (2009).
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S.-W. Kim, “Combs rule,” Nat. Photonics 3(6), 313–314 (2009).
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Opt. Express (14)

H. Wu, F. Zhang, S. Cao, S. Xing, and X. Qu, “Absolute distance measurement by intensity detection using a mode-locked femtosecond pulse laser,” Opt. Express 22(9), 10380–10397 (2014).
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G. Wang, Y.-S. Jang, S. Hyun, B. J. Chun, H. J. Kang, S. Yan, S.-W. Kim, and Y.-J. Kim, “Absolute positioning by multi-wavelength interferometry referenced to the frequency comb of a femtosecond laser,” Opt. Express 23(7), 9121–9129 (2015).
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S. Boudreau and J. Genest, “Referenced passive spectroscopy using dual frequency combs,” Opt. Express 20(7), 7375–7387 (2012).
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H. Zhang, H. Wei, X. Wu, H. Yang, and Y. Li, “Absolute distance measurement by dual-comb nonlinear asynchronous optical sampling,” Opt. Express 22(6), 6597–6604 (2014).
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M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, and H. P. Urbach, “Long distance measurement with femtosecond pulses using a dispersive interferometer,” Opt. Express 19(7), 6549–6562 (2011).
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P. Balling, P. Kren, P. Masika, and S. A. van den Berg, “Femtosecond frequency comb based distance measurement in air,” Opt. Express 17(11), 9300–9313 (2009).
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H. Shi, Y. Song, F. Liang, L. Xu, M. Hu, and C. Wang, “Effect of timing jitter on time-of-flight distance measurements using dual femtosecond lasers,” Opt. Express 23(11), 14057–14069 (2015).
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Y. Bitou, T. R. Schibli, and K. Minoshima, “Accurate wide-range displacement measurement using tunable diode laser and optical frequency comb generator,” Opt. Express 14(2), 644–654 (2006).
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N. B. Hébert, S. Boudreau, J. Genest, and J. D. Deschênes, “Coherent dual-comb interferometry with quasi-integer-ratio repetition rates,” Opt. Express 22(23), 29152–29160 (2014).
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K.-N. Joo, Y. Kim, and S.-W. Kim, “Distance measurements by combined method based on a femtosecond pulse laser,” Opt. Express 16(24), 19799–19806 (2008).
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K.-N. Joo and S.-W. Kim, “Absolute distance measurement by dispersive interferometry using a femtosecond pulse laser,” Opt. Express 14(13), 5954–5960 (2006).
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D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Time-of-flight method using multiple pulse train interference as a time recorder,” Opt. Express 19(6), 4881–4889 (2011).
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T.-A. Liu, N. R. Newbury, and I. Coddington, “Sub-micron absolute distance measurements in sub-millisecond times with dual free-running femtosecond Er fiber-lasers,” Opt. Express 19(19), 18501–18509 (2011).
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J. Zhu, P. Cui, Y. Guo, L. Yang, and J. Lin, “Pulse-to-pulse alignment based on interference fringes and the second-order temporal coherence function of optical frequency combs for distance measurement,” Opt. Express 23(10), 13069–13081 (2015).
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Opt. Lett. (5)

Phys. Rev. Lett. (1)

I. Coddington, W. C. Swann, and N. R. Newbury, “Coherent multiheterodyne spectroscopy using stabilized optical frequency combs,” Phys. Rev. Lett. 100(1), 013902 (2008).
[Crossref] [PubMed]

Rev. Mod. Phys. (1)

S. T. Cundiff and J. Ye, “Colloquium: Femtosecond optical frequency combs,” Rev. Mod. Phys. 75(1), 325–342 (2003).
[Crossref]

Sci. Rep. (1)

Y. D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

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Figures (8)

Fig. 1
Fig. 1 Schematic of dual-comb ranging system. BS1–2: beam splitter; CR1–2: corner reflector; BPF: band-pass filter; PD: photodetector; LPF: low-pass filter. (a) Output beam of the interferometer at point A in the left figure. (b) Cross-correlation interferograms from the dual-comb experimental setup at point B. The inset shows an expanded view of the interferogram.
Fig. 2
Fig. 2 Simulated cross-correlation interferograms of the dual-comb system.
Fig. 3
Fig. 3 Simulated ranging accuracy of dual-comb system while tuning the repetition rate difference widely (a) and finely (b).
Fig. 4
Fig. 4 Simulated ranging accuracy of dual-comb system with different repetition rates while tuning the repetition rate difference widely.
Fig. 5
Fig. 5 Simulated ranging accuracy of the dual-comb system with a repetition rate of 100 MHz while tuning the repetition rate difference widely. It shows two cases with different optical bandwidth of interferogram (200 GHz and 400 GHz).
Fig. 6
Fig. 6 Simulated ranging accuracy of dual-comb system while tuning f ceo. The results obtained by FFT and Hilbert transform methods are both shown for a comparison.
Fig. 7
Fig. 7 Experimental results of dual-comb system while tuning f ceo. The variation of measured distance and the standard deviation (200 samples) are used to indicate the ranging accuracy.
Fig. 8
Fig. 8 Frequency-domain description of the dual-comb system. (a) optical frequency domain; (b) RF frequency domain.

Equations (7)

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D = c 2 n g Δ t = c 2 n g Δ τ Δ f r f r ,
E p ( t ) = E ^ ( t ) exp [ i ( ω t + ϕ c e ) ] ,
E T ( t ) = n = E p ( t n T ) .
E T , Δ ϕ c e ( x , t ) = n = E p [ ( t x c ) n T ] .
E = E T 1 , Δ ϕ c e 1 ( x 1 , t ) + E T 1 , Δ ϕ c e 1 ( x 2 , t ) + E T 2 , Δ ϕ c e 2 ( 0 , t ) .
U D / D = [ ( U n g / n g ) 2 + ( U Δ τ / Δ τ ) 2 + ( U f r / Δ f r ) 2 + ( U f r / f r ) 2 ] 1 / 2 .
f b = ( a × f r + f ceo_S ) [ b × ( f r + Δ f r ) + f ceo_L ] ,

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