Abstract

A unique length measurement method, called the multiple pulse train interference-based time-of-flight (TOF) method, is proposed and demonstrated for the first time. By taking advantage of both the high-accuracy measurement capability of a pulse train interference method and the arbitrary and absolute length measurement capability of a TOF method, the present method is expected to be useful for high-precision length measurement for not only science purposes but also industry requirements. A long gauge block was measured using this optical method to demonstrate the feasibility of the proposed method.

© 2011 OSA

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  1. T. Araki, “Optical distance meter using a short pulse width laser diode and a fast avalanche photodiode,” Rev. Sci. Instrum. 66(1), 43–47 (1995), http://rsi.aip.org/resource/1/rsinak/v66/i1/p43_s1 .
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  12. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-9-7011 .
    [CrossRef] [PubMed]
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    [CrossRef]
  14. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Experimental observation of pulse trains’ destructive interference with a femtosecond optical frequency-comb-based interferometer,” Opt. Lett. 34(18), 2775–2777 (2009), http://ol.osa.org/abstract.cfm?URI=ol-34-18-2775 .
    [CrossRef] [PubMed]
  15. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .
  16. F. Helbing, G. Steinmeyer, and U. Keller, “Carrier-envelope offset phase-locking with attosecond timing jitter,” IEEE J. Quantum Electron. 9(4), 1030–1040 (2003), http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1250460&tag=1 .
    [CrossRef]
  17. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Theoretical analysis of length measurement using interference of multiple pulse trains of a femtosecond optical frequency comb,” Jpn. J. Appl. Phys. (to be published).
  18. 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), http://ao.osa.org/abstract.cfm?URI=ao-41-21-4318 .
    [CrossRef] [PubMed]

2010 (1)

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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[CrossRef]

2009 (6)

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Simultaneous observation of high temporal coherence between two pairs of pulse trains using a femtosecond-optical-frequency-comb-based interferometer,” Jpn. J. Appl. Phys. 48(7), 070211 (2009), http://jjap.jsap.jp/link?JJAP/48/070211/ .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-9-7011 .
[CrossRef] [PubMed]

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), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-11-9300 .
[CrossRef] [PubMed]

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. M. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=ol-34-13-1982 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Experimental observation of pulse trains’ destructive interference with a femtosecond optical frequency-comb-based interferometer,” Opt. Lett. 34(18), 2775–2777 (2009), http://ol.osa.org/abstract.cfm?URI=ol-34-18-2775 .
[CrossRef] [PubMed]

2008 (1)

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Europ. Opt. Soc. Rap. Public. 3, 08003 (2008), https://www.jeos.org/index.php/jeos_rp/article/view/08003/246 .
[CrossRef]

2006 (1)

2004 (1)

2003 (1)

F. Helbing, G. Steinmeyer, and U. Keller, “Carrier-envelope offset phase-locking with attosecond timing jitter,” IEEE J. Quantum Electron. 9(4), 1030–1040 (2003), http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1250460&tag=1 .
[CrossRef]

2002 (1)

2001 (1)

A. Kilpelä, R. Pennala, and J. Kostamovaara, “Precise pulsed time-of-flight laser range finder for industrial distance measurements,” Rev. Sci. Instrum. 72(4), 2197–2202 (2001), http://rsi.aip.org/resource/1/rsinak/v72/i4/p2197_s1 .
[CrossRef]

1998 (2)

L. Rovati, U. Minoni, M. Bonardi, and F. Docchio, “Absolute distance measurement using comb-spectrum interferometry,” J. Opt. 29(3), 121–127 (1998), http://iopscience.iop.org/0150-536X/29/3/004 .
[CrossRef]

A. M. Chekhovsky, A. N. Golubev, and M. V. Gorbunkov, “Optical pulse distance-multiplying interferometry,” Appl. Opt. 37(16), 3480–3483 (1998), http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-37-16-3480 .
[CrossRef]

1995 (1)

T. Araki, “Optical distance meter using a short pulse width laser diode and a fast avalanche photodiode,” Rev. Sci. Instrum. 66(1), 43–47 (1995), http://rsi.aip.org/resource/1/rsinak/v66/i1/p43_s1 .
[CrossRef]

1986 (1)

R. Illingworth and I. S. Ruddock, “Cavity length measurement for synchronously pumped, mode-locked lasers,” Opt. Commun. 59(5-6), 375–378 (1986).
[CrossRef]

Araki, T.

T. Araki, “Optical distance meter using a short pulse width laser diode and a fast avalanche photodiode,” Rev. Sci. Instrum. 66(1), 43–47 (1995), http://rsi.aip.org/resource/1/rsinak/v66/i1/p43_s1 .
[CrossRef]

Balling, P.

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. Europ. Opt. Soc. Rap. Public. 3, 08003 (2008), https://www.jeos.org/index.php/jeos_rp/article/view/08003/246 .
[CrossRef]

Bhattacharya, N.

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. M. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=ol-34-13-1982 .
[CrossRef] [PubMed]

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Europ. Opt. Soc. Rap. Public. 3, 08003 (2008), https://www.jeos.org/index.php/jeos_rp/article/view/08003/246 .
[CrossRef]

Bonardi, M.

L. Rovati, U. Minoni, M. Bonardi, and F. Docchio, “Absolute distance measurement using comb-spectrum interferometry,” J. Opt. 29(3), 121–127 (1998), http://iopscience.iop.org/0150-536X/29/3/004 .
[CrossRef]

Braat, J. J. M.

Chekhovsky, A. M.

Cui, M.

M. Cui, M. G. Zeitouny, N. Bhattacharya, S. A. van den Berg, H. P. Urbach, and J. J. M. Braat, “High-accuracy long-distance measurements in air with a frequency comb laser,” Opt. Lett. 34(13), 1982–1984 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=ol-34-13-1982 .
[CrossRef] [PubMed]

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Europ. Opt. Soc. Rap. Public. 3, 08003 (2008), https://www.jeos.org/index.php/jeos_rp/article/view/08003/246 .
[CrossRef]

Docchio, F.

L. Rovati, U. Minoni, M. Bonardi, and F. Docchio, “Absolute distance measurement using comb-spectrum interferometry,” J. Opt. 29(3), 121–127 (1998), http://iopscience.iop.org/0150-536X/29/3/004 .
[CrossRef]

Golubev, A. N.

Gorbunkov, M. V.

Helbing, F.

F. Helbing, G. Steinmeyer, and U. Keller, “Carrier-envelope offset phase-locking with attosecond timing jitter,” IEEE J. Quantum Electron. 9(4), 1030–1040 (2003), http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1250460&tag=1 .
[CrossRef]

Illingworth, R.

R. Illingworth and I. S. Ruddock, “Cavity length measurement for synchronously pumped, mode-locked lasers,” Opt. Commun. 59(5-6), 375–378 (1986).
[CrossRef]

Joo, K. N.

Keller, U.

F. Helbing, G. Steinmeyer, and U. Keller, “Carrier-envelope offset phase-locking with attosecond timing jitter,” IEEE J. Quantum Electron. 9(4), 1030–1040 (2003), http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1250460&tag=1 .
[CrossRef]

Kilpelä, A.

A. Kilpelä, R. Pennala, and J. Kostamovaara, “Precise pulsed time-of-flight laser range finder for industrial distance measurements,” Rev. Sci. Instrum. 72(4), 2197–2202 (2001), http://rsi.aip.org/resource/1/rsinak/v72/i4/p2197_s1 .
[CrossRef]

Kim, S. W.

Kim, S.-W.

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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[CrossRef]

Kim, Y.-J.

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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[CrossRef]

Kostamovaara, J.

A. Kilpelä, R. Pennala, and J. Kostamovaara, “Precise pulsed time-of-flight laser range finder for industrial distance measurements,” Rev. Sci. Instrum. 72(4), 2197–2202 (2001), http://rsi.aip.org/resource/1/rsinak/v72/i4/p2197_s1 .
[CrossRef]

Kren, P.

Lee, J.

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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[CrossRef]

Lee, K.

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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[CrossRef]

Masika, P.

Matsumoto, H.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Simultaneous observation of high temporal coherence between two pairs of pulse trains using a femtosecond-optical-frequency-comb-based interferometer,” Jpn. J. Appl. Phys. 48(7), 070211 (2009), http://jjap.jsap.jp/link?JJAP/48/070211/ .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Experimental observation of pulse trains’ destructive interference with a femtosecond optical frequency-comb-based interferometer,” Opt. Lett. 34(18), 2775–2777 (2009), http://ol.osa.org/abstract.cfm?URI=ol-34-18-2775 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-9-7011 .
[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), http://ao.osa.org/abstract.cfm?URI=ao-41-21-4318 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Theoretical analysis of length measurement using interference of multiple pulse trains of a femtosecond optical frequency comb,” Jpn. J. Appl. Phys. (to be published).

Minoni, U.

L. Rovati, U. Minoni, M. Bonardi, and F. Docchio, “Absolute distance measurement using comb-spectrum interferometry,” J. Opt. 29(3), 121–127 (1998), http://iopscience.iop.org/0150-536X/29/3/004 .
[CrossRef]

Minoshima, K.

Pennala, R.

A. Kilpelä, R. Pennala, and J. Kostamovaara, “Precise pulsed time-of-flight laser range finder for industrial distance measurements,” Rev. Sci. Instrum. 72(4), 2197–2202 (2001), http://rsi.aip.org/resource/1/rsinak/v72/i4/p2197_s1 .
[CrossRef]

Rovati, L.

L. Rovati, U. Minoni, M. Bonardi, and F. Docchio, “Absolute distance measurement using comb-spectrum interferometry,” J. Opt. 29(3), 121–127 (1998), http://iopscience.iop.org/0150-536X/29/3/004 .
[CrossRef]

Ruddock, I. S.

R. Illingworth and I. S. Ruddock, “Cavity length measurement for synchronously pumped, mode-locked lasers,” Opt. Commun. 59(5-6), 375–378 (1986).
[CrossRef]

Schouten, R. N.

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Europ. Opt. Soc. Rap. Public. 3, 08003 (2008), https://www.jeos.org/index.php/jeos_rp/article/view/08003/246 .
[CrossRef]

Steinmeyer, G.

F. Helbing, G. Steinmeyer, and U. Keller, “Carrier-envelope offset phase-locking with attosecond timing jitter,” IEEE J. Quantum Electron. 9(4), 1030–1040 (2003), http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1250460&tag=1 .
[CrossRef]

Takahashi, S.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Experimental observation of pulse trains’ destructive interference with a femtosecond optical frequency-comb-based interferometer,” Opt. Lett. 34(18), 2775–2777 (2009), http://ol.osa.org/abstract.cfm?URI=ol-34-18-2775 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-9-7011 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Simultaneous observation of high temporal coherence between two pairs of pulse trains using a femtosecond-optical-frequency-comb-based interferometer,” Jpn. J. Appl. Phys. 48(7), 070211 (2009), http://jjap.jsap.jp/link?JJAP/48/070211/ .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Theoretical analysis of length measurement using interference of multiple pulse trains of a femtosecond optical frequency comb,” Jpn. J. Appl. Phys. (to be published).

Takamasu, K.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-9-7011 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Experimental observation of pulse trains’ destructive interference with a femtosecond optical frequency-comb-based interferometer,” Opt. Lett. 34(18), 2775–2777 (2009), http://ol.osa.org/abstract.cfm?URI=ol-34-18-2775 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Simultaneous observation of high temporal coherence between two pairs of pulse trains using a femtosecond-optical-frequency-comb-based interferometer,” Jpn. J. Appl. Phys. 48(7), 070211 (2009), http://jjap.jsap.jp/link?JJAP/48/070211/ .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Theoretical analysis of length measurement using interference of multiple pulse trains of a femtosecond optical frequency comb,” Jpn. J. Appl. Phys. (to be published).

Urbach, H. P.

van den Berg, S. A.

Wei, D.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Simultaneous observation of high temporal coherence between two pairs of pulse trains using a femtosecond-optical-frequency-comb-based interferometer,” Jpn. J. Appl. Phys. 48(7), 070211 (2009), http://jjap.jsap.jp/link?JJAP/48/070211/ .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-9-7011 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Experimental observation of pulse trains’ destructive interference with a femtosecond optical frequency-comb-based interferometer,” Opt. Lett. 34(18), 2775–2777 (2009), http://ol.osa.org/abstract.cfm?URI=ol-34-18-2775 .
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Theoretical analysis of length measurement using interference of multiple pulse trains of a femtosecond optical frequency comb,” Jpn. J. Appl. Phys. (to be published).

Yamaoka, Y.

Ye, J.

Zeitouny, M. G.

Appl. Opt. (2)

IEEE J. Quantum Electron. (1)

F. Helbing, G. Steinmeyer, and U. Keller, “Carrier-envelope offset phase-locking with attosecond timing jitter,” IEEE J. Quantum Electron. 9(4), 1030–1040 (2003), http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1250460&tag=1 .
[CrossRef]

J. Europ. Opt. Soc. Rap. Public. (2)

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. Berg, “Experimental demonstration of distance measurement with a femtosecond frequency comb laser,” J. Europ. Opt. Soc. Rap. Public. 3, 08003 (2008), https://www.jeos.org/index.php/jeos_rp/article/view/08003/246 .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Femtosecond optical frequency comb-based tandem interferometer,” J. Europ. Opt. Soc. Rap. Public. 4, 09043 (2009), https://www.jeos.org/index.php/jeos_rp/article/view/09043 .

J. Opt. (1)

L. Rovati, U. Minoni, M. Bonardi, and F. Docchio, “Absolute distance measurement using comb-spectrum interferometry,” J. Opt. 29(3), 121–127 (1998), http://iopscience.iop.org/0150-536X/29/3/004 .
[CrossRef]

Jpn. J. Appl. Phys. (2)

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Simultaneous observation of high temporal coherence between two pairs of pulse trains using a femtosecond-optical-frequency-comb-based interferometer,” Jpn. J. Appl. Phys. 48(7), 070211 (2009), http://jjap.jsap.jp/link?JJAP/48/070211/ .
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Theoretical analysis of length measurement using interference of multiple pulse trains of a femtosecond optical frequency comb,” Jpn. J. Appl. Phys. (to be published).

Nat. Photonics (1)

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), http://www.nature.com/nphoton/journal/v4/n10/full/nphoton.2010.175.html.
[CrossRef]

Opt. Commun. (1)

R. Illingworth and I. S. Ruddock, “Cavity length measurement for synchronously pumped, mode-locked lasers,” Opt. Commun. 59(5-6), 375–378 (1986).
[CrossRef]

Opt. Express (3)

Opt. Lett. (3)

Rev. Sci. Instrum. (2)

T. Araki, “Optical distance meter using a short pulse width laser diode and a fast avalanche photodiode,” Rev. Sci. Instrum. 66(1), 43–47 (1995), http://rsi.aip.org/resource/1/rsinak/v66/i1/p43_s1 .
[CrossRef]

A. Kilpelä, R. Pennala, and J. Kostamovaara, “Precise pulsed time-of-flight laser range finder for industrial distance measurements,” Rev. Sci. Instrum. 72(4), 2197–2202 (2001), http://rsi.aip.org/resource/1/rsinak/v72/i4/p2197_s1 .
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

System overview of the MPTI-based TOF method. FOFC: femtosecond optical frequency comb.

Fig. 2
Fig. 2

Interference fringes form with different relative delays between pulse trains formed by the interferometer. With a relative optical-path delay of 0 and Δ, the relatively delayed pulse trains will overlap as shown in (b) and (c), respectively, and the expected interference fringes can be observed.

Fig. 3
Fig. 3

Experimental setup used to demonstrate the feasibility of the MPTI-based TOF method.

Fig. 4
Fig. 4

A typical image of measured interference fringes.

Fig. 5
Fig. 5

Comparison of measurement results.

Tables (2)

Tables Icon

Table 1 Calibration for Long Gauge Blocks

Tables Icon

Table 2 Calibration for the Length Information of the Long Gauge Block Measured in Air

Equations (3)

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L = ( N × c n × T R + Δ ) / 2 .
I ( l ) = a 1 + b 1 × exp [ ( 2 ln 2 l / L coh ) 2 ] × cos ( k × l )           + a 2 + b 2 × exp [ ( 2 ln 2 ( l + Δ ) / L coh ) 2 ] × cos ( k × ( l + Δ ) N × Δ φ ce )           = I 1 ( l ) + I 2 ( l )
I 1 ( l ) = a 1 + b 1 × exp [ ( 2 ln 2 l / L coh ) 2 ] × cos ( k × l ) , I 2 ( l ) = a 2 + b 2 × exp [ ( 2 ln 2 ( l + Δ ) / L coh ) 2 ] × cos ( k × ( l + Δ ) N × Δ φ ce ) .

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