Abstract
The time-of-flight of light pulses has long been used as a direct measure of distance1,2, but state-of-the-art measurement precision using conventional light pulses or microwaves peaks at only several hundreds of micrometres3,4. Here, we improve the time-of-flight precision to the nanometre regime by timing femtosecond pulses through phase-locking control of the pulse repetition rate using the optical cross-correlation technique5,6. Our experiment shows an Allan deviation of 117 nm in measuring a 0.7-km distance in air at a sampling rate of 5 ms once the pulse repetition is phase-locked, which reduces to 7 nm as the averaging time increases to 1 s. This enhanced capability is maintained at long range without periodic ambiguity, and is well suited to lidar applications such as geodetic surveying7, range finders8 and absolute altimeters9. This method could also be applied to future space missions involving formation-flying satellites for synthetic aperture imaging10,11 and remote experiments related to general relativity theory12.
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References
Smullin, L. D. & Fiocco, G. Optical echoes from the moon. Nature 194, 1267 (1962).
Bender, P. L. et al. The lunar laser ranging experiment: accurate ranges have given a large improvement in the lunar orbit and new selenophysical information. Science 182, 229–238 (1973).
Dickey, J. O. et al. Lunar laser ranging: a continuing legacy of the Apollo program. Science 265, 482–490 (1994).
Pellegrin, S., Buller, G. S., Smith, J. M., Wallace, A. M. & Cova, S. Laser-based distance measurement using picosecond resolution time-correlated single-photon counting. Meas. Sci. Technol. 11, 712–716 (2000).
Kim, J. et al. Long-term femtosecond timing link stabilization using a single-crystal balanced cross correlator. Opt. Lett. 32, 1044–1046 (2007).
Kim, J., Cox, J. A., Chen, J. & Kärtner, F. X. Drift-free femtosecond timing synchronization of remote optical and microwave sources. Nature Photon. 2, 733–736 (2008).
Pritchard, M. E. & Simons, M. A. Satellite geodetic survey of large-scale deformation of volcanic centres in the central Andes. Nature 418, 167–171 (2002).
Yeomans, D. K. et al. Radio science results during the NEAR–Shoemaker spacecraft rendezvous with Eros. Science 289, 2085–2088 (2000).
Smith, D. E., Zuber, M. T. & Neumann, G. A. Seasonal variations of snow depth on Mars. Science 294, 2141–2146 (2001).
White, N. X-ray astronomy — imaging black holes. Nature 407, 146–147 (2000).
Lawson, P. R. & Dooley, J. A. Technology plan for the terrestrial planet finder interferometer. Publ. Jet Propulsion Laboratory 05–5, 1–149 (2005).
Seto, N., Kawamura, S. & Nakamura, T. Possibility of direct measurement of the acceleration of the universe using 0.1 Hz band laser interferometer gravitational wave antenna in space. Phys. Rev. Lett. 87, 221103 (2001).
Kim, S.-W. Combs rule. Nature Photon. 3, 313–314 (2009).
Jones, D. J. et al. Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis. Science 288, 635–639 (2000).
Holzwarth, R. et al. Optical frequency synthesizer for precision spectroscopy. Phys. Rev. Lett. 85, 2264–2267 (2000).
Jin, J., Kim, Y.-J., Kim, Y. & Kim, S.-W. Absolute length calibration of gauge blocks using optical comb of a femtosecond pulse laser. Opt. Express 14, 5968–5974 (2006).
Hyun, S., Kim, Y.-J., Kim, Y., Jin, J. & Kim, S.-W. Absolute length measurement with the frequency comb of a femtosecond laser. Meas. Sci. Technol. 20, 095302 (2009).
Schuhler, N., Salvade, Y., Leveque, S., Dandliker, R. & Holzwarth, R. Frequency comb-referenced two-wavelength source for absolute distance measurement. Opt. Lett. 31, 3101–3103 (2006).
Schibli, T. R. et al. Displacement metrology with sub-pm resolution in air based on a fs-comb wavelength synthesizer. Opt. Express 14, 5984–5993 (2006).
Minoshima, K. & Matsumoto, H. High-accuracy measurement of 240-m distance in an optical tunnel by use of a compact femtosecond laser. Appl. Opt. 39, 5512–5517 (2000).
Ye, J. Absolute measurement of long, arbitrary distance to less than an optical fringe. Opt. Lett. 29, 1153–1155 (2004).
Cui, M., Schouten, R. N., Bhattacharya, N. & van den Berg, S. A. Experimental demonstration of distance measurement with a femtosecond frequency comb laser. J. Eur. Opt. Soc. Rapid Publ. 3, 08003 (2008).
Joo, K.-N. & Kim, S.-W. Absolute distance measurement by dispersive interferometry using a femotsecond pulse laser. Opt. Express 14, 5954–5960 (2006).
Coddington, I., Swann, W. C., Nenadovic, L. & Newbury, N. R. Rapid and precise absolute distance measurements at long range. Nature Photon. 3, 351–356 (2009).
Acknowledgements
The authors would like to thank Jungwon Kim for the discussions and suggestions on the optical cross-correlation technique he provided during the experimental work. This work was funded by the National Research Foundation of the Republic of Korea through the Creative Research Initiatives Program and the National Space Laboratory Program.
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The project was planned by S.-W.K, Y.-J.K. and J.L. The experiments were performed by J.L., K.L., S.L. and Y.-J.K.
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Lee, J., Kim, YJ., Lee, K. et al. Time-of-flight measurement with femtosecond light pulses. Nature Photon 4, 716–720 (2010). https://doi.org/10.1038/nphoton.2010.175
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DOI: https://doi.org/10.1038/nphoton.2010.175
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