Abstract

We experimentally demonstrate that a femtosecond frequency comb laser can be applied as a tool for long-distance measurement in air. Our method is based on the measurement of cross correlation between individual pulses in a Michelson interferometer. From the position of the correlation functions, distances of up to 50 m have been measured. We have compared this measurement to a counting laser interferometer, showing an agreement with the measured distance within 2μm (4×108 at 50 m).

© 2009 Optical Society of America

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References

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  1. J. Ye, Opt. Lett. 29, 1153 (2004).
    [CrossRef] [PubMed]
  2. M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. van den Berg, J. Eur. Opt. Soc. Rapid Publ. 3, 08003 (2008).
    [CrossRef]
  3. P. Balling, P. Křen, P. Mašika, and S. A. van den Berg, Opt. Express 17, 9300 (2009).
    [CrossRef] [PubMed]
  4. Y. Salvade, N. Schuhler, S. Leveque, and S. Le Floch, Appl. Opt. 47, 2715 (2008), and references therein.
    [CrossRef] [PubMed]
  5. K. N. Joo, Y. Kim, and S. W. Kim, Opt. Express 16, 19799 (2008), and references therein.
    [CrossRef] [PubMed]
  6. K. P. Birch and M. J. Downs, Metrologia 31, 315 (1994).
    [CrossRef]

2009 (1)

2008 (3)

2004 (1)

1994 (1)

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1994).
[CrossRef]

Balling, P.

Bhattacharya, N.

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. van den Berg, J. Eur. Opt. Soc. Rapid Publ. 3, 08003 (2008).
[CrossRef]

Birch, K. P.

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1994).
[CrossRef]

Cui, M.

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. van den Berg, J. Eur. Opt. Soc. Rapid Publ. 3, 08003 (2008).
[CrossRef]

Downs, M. J.

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1994).
[CrossRef]

Joo, K. N.

Kim, S. W.

Kim, Y.

Kren, P.

Le Floch, S.

Leveque, S.

Mašika, P.

Salvade, Y.

Schouten, R. N.

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. van den Berg, J. Eur. Opt. Soc. Rapid Publ. 3, 08003 (2008).
[CrossRef]

Schuhler, N.

van den Berg, S. A.

P. Balling, P. Křen, P. Mašika, and S. A. van den Berg, Opt. Express 17, 9300 (2009).
[CrossRef] [PubMed]

M. Cui, R. N. Schouten, N. Bhattacharya, and S. A. van den Berg, J. Eur. Opt. Soc. Rapid Publ. 3, 08003 (2008).
[CrossRef]

Ye, J.

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Figures (4)

Fig. 1
Fig. 1

Schematic of the experimental setup. The collimated pulsed beam from a Ti:sapphire-laser-based frequency comb is sent to a Michelson interferometer. A calibrated He–Ne laser interferometer is used for an independent comparison measurement.

Fig. 2
Fig. 2

(a) Autocorrelation at equal arms. (b) Spectrum derived from the autocorrelation (solid curve) compared with the spectrum measured using an Ocean Optics spectrometer (dotted curve).

Fig. 3
Fig. 3

Cross correlations at different positions. (a) Measured cross correlations. (b) Cross correlations from the numerical model.

Fig. 4
Fig. 4

Measurement at displacements of around 10, 20, 30, 40, and 50 m. The error bars indicate the standard uncertainty derived from measurement reproducibility.

Tables (1)

Tables Icon

Table 1 Shift of the Correlation Patterns Owing to the Chirp at Different Lengths

Equations (5)

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E 1 ( t , d 1 ) = a m e i ( 2 π f m t k m d 1 ) ,
E 2 ( t , d 2 ) = a m e i ( 2 π f m t k m d 2 ) .
I ( d 1 , d 2 ) = ( E 1 + E 2 ) ( E 1 + E 2 ) ,
I ( d 1 , d 2 ) = 2 m = 1 M | a m | 2 ( 1 + cos [ k m ( d 1 d 2 ) ] ) .
l meas = p l pp / 2 + d chirp + δ ,

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