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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 33 — Nov. 20, 2007
  • pp: 8074–8079

Sinusoidal nonlinearity in wavelength-sweeping interferometry

Luc Perret and Pierre Pfeiffer  »View Author Affiliations

Applied Optics, Vol. 46, Issue 33, pp. 8074-8079 (2007)

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We report the influence of the nonlinearities in the wavelength-sweeping speed on the resulting interferometric signals in an absolute distance interferometer. The sweeping signal is launched in the reference and target interferometers from an external cavity laser source. The experimental results demonstrate a good resolution in spite of the presence of nonlinearities in the wavelength sweep. These nonlinearities can be modeled by a sum of sinusoids. A simulation is then implemented to analyze the influence of their parameters. It shows that a sinusoidal nonlinearity is robust enough to give a good final measurement uncertainty through a Fourier transform technique. It can be concluded that an optimal value of frequency and amplitude exists in the case of a sinusoidal nonlinearity.

© 2007 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: May 23, 2007
Revised Manuscript: September 19, 2007
Manuscript Accepted: October 13, 2007
Published: November 19, 2007

Luc Perret and Pierre Pfeiffer, "Sinusoidal nonlinearity in wavelength-sweeping interferometry," Appl. Opt. 46, 8074-8079 (2007)

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  1. S.-W. Kim, K.-N. Joo, J. Jin, and Y. S. Kim, "Absolute distance measurement using femtosecond laser," Proc. SPIE 5858, 187-195 (2005).
  2. K. Minoshima and H. Matsumoto, "High-precision distance measurement using the frequency comb of an ultrashort pulse laser," in Conference on Lasers and Electro-Optics Europe Munich, Germany, 12-17 June 2005.
  3. N. Schuhler, Y. Salvadé, S. Lévêque, R. Dändliker, and R. Holzwarth, "Frequency-comb-referenced two-wavelength source for absolute distance measurement," Opt. Lett. 31, 3101-3103 (2006). [CrossRef] [PubMed]
  4. J. Thiel, T. Pfeifer, and M. Hartmann, "Interferometric measurement of absolute distances of up to 40 m," Measurement 16, 1-6 (1995). [CrossRef]
  5. R. Mokdad, B. Pécheux, P. Pfeiffer, and P. Meyrueis, "Fringe pattern analysis with a parametric method for measurement of absolute distance by a frequency-modulated continuous optical wave technique," Appl. Opt. 42, 1008-1012 (2003). [CrossRef] [PubMed]
  6. P. A. Coe, D. F. Howell, and R. B. Nickerson, "Frequency scanning interferometry in ATLAS: remote, multiple, simultaneous, and precise distance measurements in a hostile environment," Meas. Sci. Technol. 15, 2175-2187 (2004). [CrossRef]
  7. J. A. Stone, A. Stejskal, and L. Howard, "Absolute interferometry with a 670-nm external cavity diode laser," Appl. Opt. 38, 5981-5994 (1999). [CrossRef]
  8. T. Kinder and K.-D. Salewski, "Absolute distance interferometer with grating-stabilized tunable diode laser at 633 nm," J. Opt. A 4, S364-S368 (2002). [CrossRef]
  9. P. Pfeiffer, L. Perret, R. Mokdad, and B. Pécheux, "Fringe analysis in scanning frequency interferometry for absolute distance measurement," in Fringe 2005, the Fifth International Workshop on Automatic Processing of Fringe Patterns, W. Osten, ed. (Springer, 2006), pp. 388-395.
  10. M. Suematsu and M. Takeda, "Wavelength-shift interferometry for distance measurement using the Fourier transform technique for fringe analysis," Appl. Opt. 30, 4046-4055 (1991). [CrossRef] [PubMed]
  11. J. J. Talamonti, R. B. Kay, and D. J. Krebs, "Numerical model estimating the capabilities and limitations of the fast Fourier transform technique in absolute interferometry," Appl. Opt. 35, 2182-2191 (1996). [CrossRef] [PubMed]
  12. J. G. Proakis and G. Dimitris Manolakis, Digital Signal Processing; Principles, Algorithms, and Applications (Prentice-Hall Engineering, 1995). [PubMed]

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