## Journal of the European Optical Society - Rapid publications, Vol 9 (2014)

### Comparison of two-color methods based on wavelength and adjacent pulse repetition interval length

#### Abstract

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2014.14031]

#### Citation Details

Cite this article

#### References

W. T. Estler, ”High-accuracy displacement interferometry in air,” Appl. Opt. 24, 808–815 (1985).

K. B. Earnshaw, and E. N. Hernandez, ”Two-laser optical distancemeasuring instrument that corrects for the atmospheric index of refraction,” Appl. Opt. 11, 749–754 (1972).

B. Querzola, ”High accuracy distance measurement by twowavelength pulsed laser sources,” Appl. Opt. 18, 3035–3047 (1979).

K. Miyake, ”Optical pulsed ranging: effect of atmospheric scintillation on measurement accuracy,” Opt. Quant. Electron. 13, 1–10 (1981).

A. Ishida, ”Two-wavelength displacement-measuring interferometer using second-harmonic light to eliminate air-turbulenceinduced errors,” Jpn. J. Appl. Phys. 28, L473 (1989).

H. Matsumoto, and T. Honda, ”High-accuracy length-measuring interferometer using the two-colour method of compensating for the refractive index of air,” Meas. Sci. Technol. 3, 1084 (1992).

H. Matsumoto, Y. Zhu, S. Iwasaki, and T. Oishi, ”Measurement of the changes in air refractive index and distance by means of a two-color interferometer,” Appl. Opt. 31, 4522–4526 (1992).

M. Takeichi, Y. Warashina, A. Takeshima, I. Ogawa, K. Ichie, and Y. Mizushima, ”Streak-camera-based long-distance range finder with 10(-7) resolution,” Appl. Opt. 33, 2502–2510 (1994).

L. Zeng, K. Seta, H. Matsumoto, and S. Iwashaki, ”Length measurement by a two-colour interferometer using two close wavelengths to reduce errors caused by air turbulence,” Meas. Sci. Technol. 10, 587 (1999).

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, 5512–5517 (2000).

L. Zeng, S. Hatano, Y. Lee, H. Matsumoto, K. Seta, and S. Iwasaki, ”Reducing the quantization error and miscount error in twocolor interferometers by combining a coefficient compensation technique with a fringe-count averaging technique,” Opt. Commun. 176, 65–70 (2000).

L. Zeng, I. Fujima, A. Hirai, H. Matsumoto, and S. Iwasaki, ”A twocolor heterodyne interferometer for measuring the refractive index of air using an optical diffraction grating,” Opt. Commun. 203, 243–247 (2002).

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, 26095–26105 (2011).

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

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).

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, 4318–4324 (2002).

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

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, 1982–1984 (2009).

P. Balling, P. Kren, P. Masika, and S. A. van den Berg, ”Femtosecond frequency comb based distance measurement in air,” Opt. Express 17, 9300–9313 (2009).

J. Lee, Y.-J. Kim, K. Lee, S. Lee, and S.-W. Kim, ”Time-of-flight measurement with femtosecond light pulses,” Nat. Photon. 4, 716–720 (2010).

G. Wu, M. Takahashi, H. Inaba, and K. Minoshima, ”Pulse-topulse alignment technique based on synthetic-wavelength interferometry of optical frequency combs for distance measurement,” Opt. Lett. 38, 2140–2143 (2013).

D. Wei, and M. Aketagawa, ”Characteristics of an adjacent pulse repetition interval length as a scale for length,” Opt. Eng. 53, 051502 (2013).

D. Wei, K. Takamasu, and H. Matsumoto, ”Synthetic adjacent pulse repetition interval length method to solve integer ambiguity problem: theoretical analysis,” J. Europ. Opt. Soc. Rap. Public. 8, 13016 (2013).

D. Wei, K. Takamasu, and H. Matsumoto, ”A study of the possibility of using an adjacent pulse repetition interval length as a scale using a Heliumâ˘A¸SNeon interferometer,” Precis. Eng. 37, 694–698 (2013).

D. Wei, and M. Aketagawa, ”Comparison of length measurements provided by a femtosecond optical frequency comb,” Opt. Express 22, 7040–7045 (2014).

P. L. Bender, and J. C. Owens, ”Correction of optical distance measurements for the fluctuating atmospheric index of refraction,” J. Geophys. Res. 70, 2461–2462 (1965).

A. N. Golubev, and A. M. Chekhovsky, ”Three-color optical range finding,” Appl. Opt. 33, 7511–7517 (1994).

K. Meiners-Hagen, and A. Abou-Zeid, ”Refractive index determination in length measurement by two-colour interferometry,” Meas. Sci. Technol. 19, 084004 (2008).

J. Ye, and S. T. Cundiff, Femtosecond optical frequency comb: principle, operation and applications (Springer, New York, 2005).

B. E. A. Saleh, and M. C. Teich, Fundamentals of photonics (Wiley- Interscience, Hoboken, 2007).

E. Bengt, ”The refractive index of air,” Metrologia 2, 71–79 (1966).

K. P. Birch, and M. J. Downs, ”An updated Edlén equation for the refractive index of air,” Metrologia 30, 155–162 (1993).

J. A. Stone, and J. H. Zimmerman, ”Refractive index of air calculator,” http://emtoolbox.nist.gov/Wavelength/Edlen.asp

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, ”Time-offlight method using multiple pulse train interference as a time recorder,” Opt. Express 19, 4881–4889 (2011).

A. N. Golubev, and A. M. Chekhovsky, ”Three-color optical range finding,” Appl. Opt. 33, 7511–7517 (1994).