Abstract

A simplified phase-stable dual-comb interferometer for absolute distance measurement within a short dynamic range is proposed in this paper. The experimental results demonstrate that stable phase-difference information and lower timing jitter can be obtained within a time delay of 2000 ns between the reference interference signal and measurement interference signal. Using the proposed technique, the time-of-flight (TOF) result can link directly to the carrier-wave interferometric (CWI) result in an average time of 20 ms and can reach 2 nm precision in 0.5 s averaging time. Millimeter-scale measurement dynamic range and nanometer-level precision can thus be achieved without additional noise suppression. This method can also be applied at different stand-off distances.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2018 (6)

Z. Zhu and G. Wu, “Dual-Comb Ranging,” Engineering 4(6), 772–778 (2018).
[Crossref]

Z. Zhu, G. Xu, K. Ni, Q. Zhou, and G. Wu, “Synthetic-wavelength-based dual-comb interferometry for fast and precise absolute distance measurement,” Opt. Express 26(5), 5747–5757 (2018).
[Crossref]

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Z. Zhu, K. Ni, Q. Zhou, and G. Wu, “Digital correction method for realizing a phase-stable dual-comb interferometer,” Opt. Express 26(13), 16813–16823 (2018).
[Crossref]

Z. Chen, M. Yan, T. W. Hänsch, and N. Picqué, “A phase-stable dual-comb interferometer,” Nat. Commun. 9(1), 3035 (2018).
[Crossref]

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[Crossref]

2017 (4)

E. L. Teleanu, V. Durán, and V. Torres-Company, “Electro-optic dual-comb interferometer for high-speed vibrometry,” Opt. Express 25(14), 16427–16436 (2017).
[Crossref]

N. B. Hébert, J. Genest, J.-D. Deschênes, H. Bergeron, G. Y. Chen, C. Khurmi, and D. G. Lancaster, “Self-corrected chip-based dual-comb spectrometer,” Opt. Express 25(7), 8168–8179 (2017).
[Crossref]

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

2015 (3)

2014 (2)

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

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]

2013 (3)

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]

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]

G. Wu, M. Takahashi, K. Arai, H. Inaba, and K. Minoshima, “Extremely high-accuracy correction of air refractive index using two-colour optical frequency combs,” Sci. Rep. 3(1), 1894 (2013).
[Crossref]

2012 (4)

2010 (2)

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. Swann, and N. Newbury, “Coherent dual-comb spectroscopy at high signal-to-noise ratio,” Phys. Rev. A 82(4), 043817 (2010).
[Crossref]

2009 (2)

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).
[Crossref]

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

2008 (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]

2006 (2)

2004 (1)

2003 (1)

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

2000 (1)

Aoto, T.

H. Matsumoto, X. Wang, K. Takamasu, and T. Aoto, “Absolute Measurement of Baselines up to 403 m Using Heterodyne Temporal Coherence Interferometer with Optical Frequency Comb,” Appl. Phys. Express 5(4), 046601 (2012).
[Crossref]

Arai, K.

G. Wu, M. Takahashi, K. Arai, H. Inaba, and K. Minoshima, “Extremely high-accuracy correction of air refractive index using two-colour optical frequency combs,” Sci. Rep. 3(1), 1894 (2013).
[Crossref]

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]

Baumann, E.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[Crossref]

Bergeron, H.

Bogan, C.

Cao, H.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Chai, L.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Chen, G. Y.

Chen, Z.

Z. Chen, M. Yan, T. W. Hänsch, and N. Picqué, “A phase-stable dual-comb interferometer,” Nat. Commun. 9(1), 3035 (2018).
[Crossref]

Chun, B.-J.

Coddington, I.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[Crossref]

I. Coddington, W. Swann, and N. Newbury, “Coherent dual-comb spectroscopy at high signal-to-noise ratio,” Phys. Rev. A 82(4), 043817 (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).
[Crossref]

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]

Cundiff, S. T.

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

Dandliker, R.

Danzmann, K.

Deschênes, J.-D.

Diddams, S. A.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[Crossref]

Durán, V.

Frede, M.

Genest, J.

Giorgetta, F. R.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[Crossref]

Guelachvili, G.

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Adaptive dual-comb spectroscopy in the green region,” Opt. Lett. 37(23), 4847–4849 (2012).
[Crossref]

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.

Z. Chen, M. Yan, T. W. Hänsch, and N. Picqué, “A phase-stable dual-comb interferometer,” Nat. Commun. 9(1), 3035 (2018).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Adaptive dual-comb spectroscopy in the green region,” Opt. Lett. 37(23), 4847–4849 (2012).
[Crossref]

Hase, E.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Hébert, N. B.

Herman, D.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[Crossref]

Holzwarth, R.

Hsieh, Y.-D.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Hu, M.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

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).
[Crossref]

Ideguchi, T.

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Adaptive dual-comb spectroscopy in the green region,” Opt. Lett. 37(23), 4847–4849 (2012).
[Crossref]

Inaba, H.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

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]

G. Wu, M. Takahashi, K. Arai, H. Inaba, and K. Minoshima, “Extremely high-accuracy correction of air refractive index using two-colour optical frequency combs,” Sci. Rep. 3(1), 1894 (2013).
[Crossref]

Iwata, T.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Jang, Y.-S.

Ji, R.

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

Joo, K.-N.

Kaneoka, Y.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Kang, H.-J.

Khurmi, C.

Kim, H.

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.

H.-J. Kang, B.-J. Chun, Y.-S. Jang, Y.-J. Kim, and S.-W. Kim, “Real-time compensation of the refractive index of air in distance measurement,” Opt. Express 23(20), 26377–26385 (2015).
[Crossref]

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

Kim, Y.-J.

H.-J. Kang, B.-J. Chun, Y.-S. Jang, Y.-J. Kim, and S.-W. Kim, “Real-time compensation of the refractive index of air in distance measurement,” Opt. Express 23(20), 26377–26385 (2015).
[Crossref]

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]

King, P.

Kwee, P.

Lancaster, D. G.

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]

Léveque, S.

Li, R.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Li, Y.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

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]

Liang, F.

Liu, B.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Liu, D.

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

Matsumoto, H.

H. Matsumoto, X. Wang, K. Takamasu, and T. Aoto, “Absolute Measurement of Baselines up to 403 m Using Heterodyne Temporal Coherence Interferometer with Optical Frequency Comb,” Appl. Phys. Express 5(4), 046601 (2012).
[Crossref]

K. Minoshima and H. Matsumoto, “High-accuracy measurement of 240-m distance in an optical tunnel by use of a compact femtosecond laser,” Appl. Opt. 39(30), 5512–5517 (2000).
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Minamikawa, T.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Minoshima, K.

Mizutani, Y.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Nenadovic, L.

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).
[Crossref]

Newbury, N.

I. Coddington, W. Swann, and N. Newbury, “Coherent dual-comb spectroscopy at high signal-to-noise ratio,” Phys. Rev. A 82(4), 043817 (2010).
[Crossref]

Newbury, N. R.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[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).
[Crossref]

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]

Ni, K.

Okubo, S.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Picqué, N.

Z. Chen, M. Yan, T. W. Hänsch, and N. Picqué, “A phase-stable dual-comb interferometer,” Nat. Commun. 9(1), 3035 (2018).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Adaptive dual-comb spectroscopy in the green region,” Opt. Lett. 37(23), 4847–4849 (2012).
[Crossref]

Poisson, A.

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, T. W. Hänsch, and N. Picqué, “Adaptive dual-comb spectroscopy in the green region,” Opt. Lett. 37(23), 4847–4849 (2012).
[Crossref]

Pold, J.

Potvin, S.

Puncken, O.

Roy, J.

Salvadé, Y.

Savage, R. L.

Schuhler, N.

Seifert, F.

Shi, H.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

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).
[Crossref]

Shi, J.

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

Shibuya, K.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Song, Y.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

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).
[Crossref]

Swann, W.

I. Coddington, W. Swann, and N. Newbury, “Coherent dual-comb spectroscopy at high signal-to-noise ratio,” Phys. Rev. A 82(4), 043817 (2010).
[Crossref]

Swann, W. C.

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).
[Crossref]

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]

Takahashi, M.

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).
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G. Wu, M. Takahashi, K. Arai, H. Inaba, and K. Minoshima, “Extremely high-accuracy correction of air refractive index using two-colour optical frequency combs,” Sci. Rep. 3(1), 1894 (2013).
[Crossref]

Takamasu, K.

H. Matsumoto, X. Wang, K. Takamasu, and T. Aoto, “Absolute Measurement of Baselines up to 403 m Using Heterodyne Temporal Coherence Interferometer with Optical Frequency Comb,” Appl. Phys. Express 5(4), 046601 (2012).
[Crossref]

Teleanu, E. L.

Tian, H.

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
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Torres-Company, V.

Wang, C.

Wang, X.

H. Matsumoto, X. Wang, K. Takamasu, and T. Aoto, “Absolute Measurement of Baselines up to 403 m Using Heterodyne Temporal Coherence Interferometer with Optical Frequency Comb,” Appl. Phys. Express 5(4), 046601 (2012).
[Crossref]

Wang, Y.

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

Wei, H.

Wessels, P.

Willke, B.

Winkelmann, L.

Wu, G.

Wu, X.

Xiong, S.

Xu, G.

Xu, L.

Yamamoto, H.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Yan, M.

Z. Chen, M. Yan, T. W. Hänsch, and N. Picqué, “A phase-stable dual-comb interferometer,” Nat. Commun. 9(1), 3035 (2018).
[Crossref]

Yang, H.

Yasui, T.

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

Ycas, G.

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
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Ye, J.

J. Ye, “Absolute measurement of a long, arbitrary distance to less than an optical fringe,” Opt. Lett. 29(10), 1153–1155 (2004).
[Crossref]

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

Zhang, H.

Zhou, Q.

Zhou, W.

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

Zhu, Z.

Appl. Opt. (1)

Appl. Phys. Express (1)

H. Matsumoto, X. Wang, K. Takamasu, and T. Aoto, “Absolute Measurement of Baselines up to 403 m Using Heterodyne Temporal Coherence Interferometer with Optical Frequency Comb,” Appl. Phys. Express 5(4), 046601 (2012).
[Crossref]

Engineering (1)

Z. Zhu and G. Wu, “Dual-Comb Ranging,” Engineering 4(6), 772–778 (2018).
[Crossref]

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).
[Crossref]

Y. Li, J. Shi, Y. Wang, R. Ji, D. Liu, and W. Zhou, “Phase distortion correction in dual-comb ranging system,” Meas. Sci. Technol. 28(7), 075201 (2017).
[Crossref]

Nanotechnol. Precis. Eng. (1)

H. Shi, Y. Song, R. Li, Y. Li, H. Cao, H. Tian, B. Liu, L. Chai, and M. Hu, “Review of low timing jitter mode-locked fiber lasers and applications in dual-comb absolute distance measurement,” Nanotechnol. Precis. Eng. 1(4), 205–217 (2018).
[Crossref]

Nat. Commun. (3)

Z. Chen, M. Yan, T. W. Hänsch, and N. Picqué, “A phase-stable dual-comb interferometer,” Nat. Commun. 9(1), 3035 (2018).
[Crossref]

T. Minamikawa, Y.-D. Hsieh, K. Shibuya, E. Hase, Y. Kaneoka, S. Okubo, H. Inaba, Y. Mizutani, H. Yamamoto, T. Iwata, and T. Yasui, “Dual-comb spectroscopic ellipsometry,” Nat. Commun. 8(1), 610–617 (2017).
[Crossref]

T. Ideguchi, A. Poisson, G. Guelachvili, N. Picqué, and T. W. Hänsch, “Adaptive real-time dual-comb spectroscopy,” Nat. Commun. 5(1), 3375–3382 (2014).
[Crossref]

Nat. Photonics (4)

G. Ycas, F. R. Giorgetta, E. Baumann, I. Coddington, D. Herman, S. A. Diddams, and N. R. Newbury, “High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 µm,” Nat. Photonics 12(4), 202–208 (2018).
[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).
[Crossref]

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

Opt. Express (11)

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]

P. Kwee, C. Bogan, K. Danzmann, M. Frede, H. Kim, P. King, J. Pold, O. Puncken, R. L. Savage, F. Seifert, P. Wessels, L. Winkelmann, and B. Willke, “Stabilized high-power laser system for the gravitational wave detector advanced LIGO,” Opt. Express 20(10), 10617–10634 (2012).
[Crossref]

J. Roy, J.-D. Deschênes, S. Potvin, and J. Genest, “Continuous real-time correction and averaging for frequency comb interferometry,” Opt. Express 20(20), 21932–21939 (2012).
[Crossref]

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]

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).
[Crossref]

H.-J. Kang, B.-J. Chun, Y.-S. Jang, Y.-J. Kim, and S.-W. Kim, “Real-time compensation of the refractive index of air in distance measurement,” Opt. Express 23(20), 26377–26385 (2015).
[Crossref]

G. Wu, S. Xiong, K. Ni, Z. Zhu, and Q. Zhou, “Parameter optimization of a dual-comb ranging system by using a numerical simulation method,” Opt. Express 23(25), 32044–32053 (2015).
[Crossref]

N. B. Hébert, J. Genest, J.-D. Deschênes, H. Bergeron, G. Y. Chen, C. Khurmi, and D. G. Lancaster, “Self-corrected chip-based dual-comb spectrometer,” Opt. Express 25(7), 8168–8179 (2017).
[Crossref]

E. L. Teleanu, V. Durán, and V. Torres-Company, “Electro-optic dual-comb interferometer for high-speed vibrometry,” Opt. Express 25(14), 16427–16436 (2017).
[Crossref]

Z. Zhu, G. Xu, K. Ni, Q. Zhou, and G. Wu, “Synthetic-wavelength-based dual-comb interferometry for fast and precise absolute distance measurement,” Opt. Express 26(5), 5747–5757 (2018).
[Crossref]

Z. Zhu, K. Ni, Q. Zhou, and G. Wu, “Digital correction method for realizing a phase-stable dual-comb interferometer,” Opt. Express 26(13), 16813–16823 (2018).
[Crossref]

Opt. Lett. (4)

Phys. Rev. A (1)

I. Coddington, W. Swann, and N. Newbury, “Coherent dual-comb spectroscopy at high signal-to-noise ratio,” Phys. Rev. A 82(4), 043817 (2010).
[Crossref]

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]

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)

G. Wu, M. Takahashi, K. Arai, H. Inaba, and K. Minoshima, “Extremely high-accuracy correction of air refractive index using two-colour optical frequency combs,” Sci. Rep. 3(1), 1894 (2013).
[Crossref]

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Figures (5)

Fig. 1.
Fig. 1. (a) Schematic of the DCR system: BS1–2: beam splitter; BPF: band-pass filter; PD: photodetector; LPF: low-pass filter. (b) Two OFCs with a repetition frequency difference of Δfr beat with each other, generating a RF comb with an interval of Δfr = 1 kHz. The spacing ratio of OFC to RF comb is fr1fr. The fopt and fRF represent the frequencies in the optical frequency domain and the radio frequency domain, respectively.
Fig. 2.
Fig. 2. (a) The Tjitter and δΔφc while tuning time delay. The data length is 1 s with 1,000 pairs of IR and IM. Two fiber OFCs were fully stabilized to RF standards, fceo1 = fceo2 = 10.56 MHz, fr1 = 56.090 MHz, and fr2 = 56.091 MHz. The clock rate of ADC is equal to fr2, and the carrier wavelength λc ≈ 1567.415 nm. (b) The jitter of Δφc with 1,000 updating periods when the Δt is set to 400 ns and 2000 ns, respectively.
Fig. 3.
Fig. 3. (a) Simulated mapping relationship between OFC and RF comb: fr1 = 56.090 MHz, fr2 = 56.091 MHz, fceo2 = 0, and Δvmax = fr1fr2/2Δfr. The fceo1 is set to zero and fr2/4 are both shown for comparison. (b) Simulated Δφc drift while tuning fceo1: The fceo2 value is set to zero for simplicity and fceo1 is tuned from 0 to 112.182 MHz (twice of fr2). The distance is set to 1 cm.
Fig. 4.
Fig. 4. The ranging precision (Allan deviation) with different averaging periods, computed from 1 s length data. Both TOF and CWI measurement precision are provided. The combined measurement result experiences a significant jump at approximately 20 ms when the TOF method is stable enough to link to CWI method.
Fig. 5.
Fig. 5. Experimental results in comparison with the data obtained by a heterodyne interferometer. For each position, the data was recorded for 0.5 s with 500 pairs of IR and IM, and their average was used for comparison.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

D tof  =  v g 4 π d Δ φ RF d f RF Δ f r f r1 ,
δ f RF ( k ) = n 1 δ f r1 n 2 δ f r2 n 1 δ Δ f r .
δ Δ φ RF ( k ) = δ Δ φ ( n 1 ) = 2 π t R t M n 1 δ Δ f r ( τ ) d τ ,
T jitter = 1 2 π δ d Δ φ RF ( k ) d f RF = t R t M δ Δ f r ( τ ) d τ Δ f r .
b = INT ( a f r1 + f ceo1 f r2 f ceo2 f r2 + 1 / 2 ) ,
N c = INT ( 2 D tof λ c ) ,
D c = ( N c + Δ φ c 2 π ) λ c 2 ,

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