Abstract

An optical frequency comb interferometer with a 342-m-long fiber-based optical reference path was developed. The long fiber-based reference path was stabilized to 10−12-order stability by using a fiber noise cancellation technique, and small temperature changes on the millikelvin order were detected by measuring an interferometric phase signal. Pulse number differences of 30 and 61 between the measurement and reference paths were determined precisely, with slight tuning of the 53.4 MHz repetition frequency. Moreover, with pulse number difference of 61, a 6.4-m-wide scanning for the relative pulse position is possible only by 1 MHz repetition frequency tuning, which makes pulses overlapped for arbitrary distance. Such wide-range high-precision delay length scanning can be used to measure arbitrary distances by using a highly stabilized long fiber-based reference path.

© 2015 Optical Society of America

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    [Crossref]
  29. G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (2013).
    [Crossref]

2014 (1)

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

2013 (6)

S. Potvin, S. Boudreau, J.-D. Deschênes, and J. Genest, “Fully referenced single-comb interferometry using optical sampling by laser-cavity tuning,” Appl. Opt. 52(2), 248–255 (2013).
[Crossref] [PubMed]

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

M. Y. Peng, P. T. Callahan, A. H. Nejadmalayeri, S. Valente, M. Xin, L. Grüner-Nielsen, E. M. Monberg, M. Yan, J. M. Fini, and F. X. Kärtner, “Long-term stable, sub-femtosecond timing distribution via a 1.2-km polarization-maintaining fiber link: approaching 10-21 link stability,” Opt. Express 21(17), 19982–19989 (2013).
[Crossref] [PubMed]

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (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, 1894 (2013).
[PubMed]

W.-D. Joo, S. Kim, J. Park, K. Lee, J. Lee, S. Kim, Y.-J. Kim, and S.-W. Kim, “Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures,” Opt. Express 21(13), 15323–15334 (2013).
[Crossref] [PubMed]

2012 (1)

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

2011 (2)

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]

T. Hochrein, R. Wilk, M. Mei, R. Holzwarth, N. Krumbholz, and M. Koch, “Optical sampling by laser cavity tuning,” Opt. Express 18(2), 1613–1617 (2010).
[Crossref] [PubMed]

2009 (2)

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009).
[Crossref] [PubMed]

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]

2008 (3)

2006 (5)

2005 (2)

2004 (1)

2002 (1)

2001 (1)

T. Yasui, K. Minoshima, and H. Matsumoto, “Stabilization of femtosecond mode-locked Ti:Sapphire laser for high-accuracy pulse interferometry,” IEEE J. Quantum Electron. 37(1), 12–19 (2001).
[Crossref]

2000 (1)

1994 (1)

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, 1894 (2013).
[PubMed]

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (2013).
[Crossref]

K. Minoshima, K. Arai, and H. Inaba, “High-accuracy self-correction of refractive index of air using two-color interferometry of optical frequency combs,” Opt. Express 19(27), 26095–26105 (2011).
[Crossref] [PubMed]

Bhattacharya, N.

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009).
[Crossref] [PubMed]

Bitou, Y.

Boudreau, S.

Braat, J. J.

Callahan, P. T.

Coddington, I.

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]

Cui, M.

Daimon, Y.

Dändliker, R.

Deschênes, J.-D.

Droste, S.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Fini, J. M.

Genest, J.

Grosche, G.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Grüner-Nielsen, L.

Hall, J. L.

Han, S.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

Hänsch, T. W.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Higashi, R.

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, “An optical lattice clock,” Nature 435(7040), 321–324 (2005).
[Crossref] [PubMed]

Hirano, M.

Hochrein, T.

Holzwarth, R.

Hong, F.-L.

Inaba, H.

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (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, 1894 (2013).
[PubMed]

K. Minoshima, K. Arai, and H. Inaba, “High-accuracy self-correction of refractive index of air using two-color interferometry of optical frequency combs,” Opt. Express 19(27), 26095–26105 (2011).
[Crossref] [PubMed]

Y. Nakajima, H. Inaba, F.-L. Hong, A. Onae, K. Minoshima, T. Kobayashi, M. Nakazawa, and H. Matsumoto, “Optimized amplification of femtosecond optical pulses by dispersion management for octave-spanning optical frequency comb generation,” Opt. Commun. 281(17), 4484–4487 (2008).
[Crossref]

H. Inaba, Y. Daimon, F.-L. Hong, A. Onae, K. Minoshima, T. R. Schibli, H. Matsumoto, M. Hirano, T. Okuno, M. Onishi, and M. Nakazawa, “Long-term measurement of optical frequencies using a simple, robust and low-noise fiber based frequency comb,” Opt. Express 14(12), 5223–5231 (2006).
[Crossref] [PubMed]

T. R. Schibli, K. Minoshima, Y. Bitou, F.-L. Hong, H. Inaba, A. Onae, and H. Matsumoto, “Displacement metrology with sub-pm resolution in air based on a fs-comb wavelength synthesizer,” Opt. Express 14(13), 5984–5993 (2006).
[Crossref] [PubMed]

Jang, H.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

Jang, Y.-S.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

Joo, K.-N.

Joo, W.-D.

Jungner, P.

Kang, K.-I.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

Kärtner, F. X.

Katori, H.

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, “An optical lattice clock,” Nature 435(7040), 321–324 (2005).
[Crossref] [PubMed]

Kim, S.

Kim, S.-W.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

W.-D. Joo, S. Kim, J. Park, K. Lee, J. Lee, S. Kim, Y.-J. Kim, and S.-W. Kim, “Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures,” Opt. Express 21(13), 15323–15334 (2013).
[Crossref] [PubMed]

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]

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.-J.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

W.-D. Joo, S. Kim, J. Park, K. Lee, J. Lee, S. Kim, Y.-J. Kim, and S.-W. Kim, “Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures,” Opt. Express 21(13), 15323–15334 (2013).
[Crossref] [PubMed]

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]

Kobayashi, T.

Y. Nakajima, H. Inaba, F.-L. Hong, A. Onae, K. Minoshima, T. Kobayashi, M. Nakazawa, and H. Matsumoto, “Optimized amplification of femtosecond optical pulses by dispersion management for octave-spanning optical frequency comb generation,” Opt. Commun. 281(17), 4484–4487 (2008).
[Crossref]

Koch, M.

Kok, G. J. P.

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

Krumbholz, N.

Lee, J.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

W.-D. Joo, S. Kim, J. Park, K. Lee, J. Lee, S. Kim, Y.-J. Kim, and S.-W. Kim, “Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures,” Opt. Express 21(13), 15323–15334 (2013).
[Crossref] [PubMed]

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, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

W.-D. Joo, S. Kim, J. Park, K. Lee, J. Lee, S. Kim, Y.-J. Kim, and S.-W. Kim, “Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures,” Opt. Express 21(13), 15323–15334 (2013).
[Crossref] [PubMed]

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, 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.-H.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

Lévêque, S.

Lim, C.-W.

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

Lu, Z. H.

Ma, L.-S.

Matsumoto, H.

Mei, M.

Minoshima, K.

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (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, 1894 (2013).
[PubMed]

K. Minoshima, K. Arai, and H. Inaba, “High-accuracy self-correction of refractive index of air using two-color interferometry of optical frequency combs,” Opt. Express 19(27), 26095–26105 (2011).
[Crossref] [PubMed]

Y. Nakajima, H. Inaba, F.-L. Hong, A. Onae, K. Minoshima, T. Kobayashi, M. Nakazawa, and H. Matsumoto, “Optimized amplification of femtosecond optical pulses by dispersion management for octave-spanning optical frequency comb generation,” Opt. Commun. 281(17), 4484–4487 (2008).
[Crossref]

H. Inaba, Y. Daimon, F.-L. Hong, A. Onae, K. Minoshima, T. R. Schibli, H. Matsumoto, M. Hirano, T. Okuno, M. Onishi, and M. Nakazawa, “Long-term measurement of optical frequencies using a simple, robust and low-noise fiber based frequency comb,” Opt. Express 14(12), 5223–5231 (2006).
[Crossref] [PubMed]

T. R. Schibli, K. Minoshima, Y. Bitou, F.-L. Hong, H. Inaba, A. Onae, and H. Matsumoto, “Displacement metrology with sub-pm resolution in air based on a fs-comb wavelength synthesizer,” Opt. Express 14(13), 5984–5993 (2006).
[Crossref] [PubMed]

Y. Yamaoka, K. Minoshima, and H. Matsumoto, “Direct measurement of the group refractive index of air with interferometry between adjacent femtosecond pulses,” Appl. Opt. 41(21), 4318–4324 (2002).
[Crossref] [PubMed]

T. Yasui, K. Minoshima, and H. Matsumoto, “Stabilization of femtosecond mode-locked Ti:Sapphire laser for high-accuracy pulse interferometry,” IEEE J. Quantum Electron. 37(1), 12–19 (2001).
[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).
[Crossref] [PubMed]

Monberg, E. M.

Musha, M.

Nakagawa, K.

Nakajima, Y.

Y. Nakajima, H. Inaba, F.-L. Hong, A. Onae, K. Minoshima, T. Kobayashi, M. Nakazawa, and H. Matsumoto, “Optimized amplification of femtosecond optical pulses by dispersion management for octave-spanning optical frequency comb generation,” Opt. Commun. 281(17), 4484–4487 (2008).
[Crossref]

Nakazawa, M.

Y. Nakajima, H. Inaba, F.-L. Hong, A. Onae, K. Minoshima, T. Kobayashi, M. Nakazawa, and H. Matsumoto, “Optimized amplification of femtosecond optical pulses by dispersion management for octave-spanning optical frequency comb generation,” Opt. Commun. 281(17), 4484–4487 (2008).
[Crossref]

H. Inaba, Y. Daimon, F.-L. Hong, A. Onae, K. Minoshima, T. R. Schibli, H. Matsumoto, M. Hirano, T. Okuno, M. Onishi, and M. Nakazawa, “Long-term measurement of optical frequencies using a simple, robust and low-noise fiber based frequency comb,” Opt. Express 14(12), 5223–5231 (2006).
[Crossref] [PubMed]

Nejadmalayeri, A. H.

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. R.

Okuno, T.

Onae, A.

Onishi, M.

Ozimek, F.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Park, J.

Peng, M. Y.

Persijn, S. T.

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

Potvin, S.

Predehl, K.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Salvadé, Y.

Schibli, T. R.

Schnatz, H.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Schuhler, N.

Swann, W. C.

Takahashi, M.

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, 1894 (2013).
[PubMed]

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (2013).
[Crossref]

Takamoto, M.

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, “An optical lattice clock,” Nature 435(7040), 321–324 (2005).
[Crossref] [PubMed]

Udem, T.

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

Ueda, K.

Urbach, H. P.

Valente, S.

van den Berg, S. A.

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009).
[Crossref] [PubMed]

Wang, L. J.

Wilk, R.

Williams, P. A.

Wu, G.

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (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, 1894 (2013).
[PubMed]

Xin, M.

Yamaoka, Y.

Yan, M.

Yasui, T.

T. Yasui, K. Minoshima, and H. Matsumoto, “Stabilization of femtosecond mode-locked Ti:Sapphire laser for high-accuracy pulse interferometry,” IEEE J. Quantum Electron. 37(1), 12–19 (2001).
[Crossref]

Ye, J.

Zeitouny, M. G.

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009).
[Crossref] [PubMed]

Zhang, J.

Appl. Opt. (3)

IEEE J. Quantum Electron. (1)

T. Yasui, K. Minoshima, and H. Matsumoto, “Stabilization of femtosecond mode-locked Ti:Sapphire laser for high-accuracy pulse interferometry,” IEEE J. Quantum Electron. 37(1), 12–19 (2001).
[Crossref]

J. Opt. Soc. Am. B (2)

Meas. Sci. Technol. (1)

G. Wu, K. Arai, M. Takahashi, H. Inaba, and K. Minoshima, “High-accuracy correction of air refractive index by using two-color heterodyne interferometry of optical frequency combs,” Meas. Sci. Technol. 24(1), 015203 (2013).
[Crossref]

Nat. Photonics (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]

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]

Nature (1)

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, “An optical lattice clock,” Nature 435(7040), 321–324 (2005).
[Crossref] [PubMed]

Opt. Commun. (1)

Y. Nakajima, H. Inaba, F.-L. Hong, A. Onae, K. Minoshima, T. Kobayashi, M. Nakazawa, and H. Matsumoto, “Optimized amplification of femtosecond optical pulses by dispersion management for octave-spanning optical frequency comb generation,” Opt. Commun. 281(17), 4484–4487 (2008).
[Crossref]

Opt. Express (8)

M. Y. Peng, P. T. Callahan, A. H. Nejadmalayeri, S. Valente, M. Xin, L. Grüner-Nielsen, E. M. Monberg, M. Yan, J. M. Fini, and F. X. Kärtner, “Long-term stable, sub-femtosecond timing distribution via a 1.2-km polarization-maintaining fiber link: approaching 10-21 link stability,” Opt. Express 21(17), 19982–19989 (2013).
[Crossref] [PubMed]

H. Inaba, Y. Daimon, F.-L. Hong, A. Onae, K. Minoshima, T. R. Schibli, H. Matsumoto, M. Hirano, T. Okuno, M. Onishi, and M. Nakazawa, “Long-term measurement of optical frequencies using a simple, robust and low-noise fiber based frequency comb,” Opt. Express 14(12), 5223–5231 (2006).
[Crossref] [PubMed]

M. Musha, F.-L. Hong, K. Nakagawa, and K. Ueda, “Coherent optical frequency transfer over 50-km physical distance using a 120-km-long installed telecom fiber network,” Opt. Express 16(21), 16459–16466 (2008).
[Crossref] [PubMed]

K. Minoshima, K. Arai, and H. Inaba, “High-accuracy self-correction of refractive index of air using two-color interferometry of optical frequency combs,” Opt. Express 19(27), 26095–26105 (2011).
[Crossref] [PubMed]

W.-D. Joo, S. Kim, J. Park, K. Lee, J. Lee, S. Kim, Y.-J. Kim, and S.-W. Kim, “Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures,” Opt. Express 21(13), 15323–15334 (2013).
[Crossref] [PubMed]

T. Hochrein, R. Wilk, M. Mei, R. Holzwarth, N. Krumbholz, and M. Koch, “Optical sampling by laser cavity tuning,” Opt. Express 18(2), 1613–1617 (2010).
[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]

T. R. Schibli, K. Minoshima, Y. Bitou, F.-L. Hong, H. Inaba, A. Onae, and H. Matsumoto, “Displacement metrology with sub-pm resolution in air based on a fs-comb wavelength synthesizer,” Opt. Express 14(13), 5984–5993 (2006).
[Crossref] [PubMed]

Opt. Lett. (6)

Phys. Rev. Lett. (2)

S. Droste, F. Ozimek, T. Udem, K. Predehl, T. W. Hänsch, H. Schnatz, G. Grosche, and R. Holzwarth, “Optical-frequency transfer over a single-span 1840 km fiber link,” Phys. Rev. Lett. 111(11), 110801 (2013).
[Crossref] [PubMed]

S. A. van den Berg, S. T. Persijn, G. J. P. Kok, M. G. Zeitouny, and N. Bhattacharya, “Many-wavelength interferometry with thousands of lasers for absolute distance measurement,” Phys. Rev. Lett. 108(18), 183901 (2012).
[Crossref] [PubMed]

Sci. Rep. (2)

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, 1894 (2013).
[PubMed]

J. Lee, K. Lee, Y.-S. Jang, H. Jang, S. Han, S.-H. Lee, K.-I. Kang, C.-W. Lim, Y.-J. Kim, and S.-W. Kim, “Testing of a femtosecond pulse laser in outer space,” Sci. Rep. 4, 5134 (2014).
[PubMed]

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Figures (7)

Fig. 1
Fig. 1

Multiplication effect with slight frep tuning. Since each pulse-to-pulse separation is changed by the same amount by repetition frequency tuning Δfrep, the peak position of the m-th pulse (delay) is changed by m times the interval change.

Fig. 2
Fig. 2

The optical frequency comb interferometer with a long fiber reference path.

Fig. 3
Fig. 3

Optical frequency comb interferometer with a fiber noise cancellation technique. CW: Continuous wave; BPF: Band pass filter; AOM: Acousto-optic modulator; PMF: Polarization-maintaining fiber; DCF: Dispersion compensation fiber; PD1 and PD2: Photodetectors 1 and 2, respectively. Optical path difference ngl between the measurement and reference paths is preset to 168 m and 342 m, which corresponds to 30 and 61 times the pulse separation of 5.6 m. The indicated fiber length is the optical length including the fiber refractive index.

Fig. 4
Fig. 4

The error signal of the servo control for the fiber noise cancellation. The error signal is the variation in the intensity of the monitor interference signal generated by the CW laser. The transitions between −11 V and 11 V correspond to a half wavelength change in the optical path.

Fig. 5
Fig. 5

Optical path length variation with fiber noise cancellation performed with a 168 m (a) and with a 342 m (b) reference optical path. ϕref is the error signal corresponding to the reference path stability (black), and ϕmea is the interferometric signal corresponding to the residual optical length fluctuation in the measurement path (red). The vertical origins of plots ϕref and ϕmea are shifted for clarity.

Fig. 6
Fig. 6

(a) Variation of interferometric signal with stabilized 342-m-long reference path with fiber noise cancellation, showing the average drift of −1.7 nm/s. (b) Temperature change around the measurement path, showing the average drift of 0.09 mK/s.

Fig. 7
Fig. 7

The effective optical path length variation npΔl for frep tuned with ngl = 168 m (black line) and ngl = 342 m (red line).

Equations (1)

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nΔl=m( c f rep c f rep +Δ f rep )m c f rep 2 Δ f rep

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