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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 27 — Sep. 20, 2012
  • pp: 6518–6527

Understanding the effects of Doppler phenomena in white light Fabry–Perot interferometers for simultaneous position and velocity measurement

Erik A. Moro, Michael D. Todd, and Anthony D. Puckett  »View Author Affiliations


Applied Optics, Vol. 51, Issue 27, pp. 6518-6527 (2012)
http://dx.doi.org/10.1364/AO.51.006518


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Abstract

In static tests, low-power (<5mW) white light extrinsic Fabry–Perot interferometric position sensors offer high-accuracy (μm) absolute measurements of a target’s position over large (cm) axial-position ranges, and since position is demodulated directly from phase in the interferogram, these sensors are robust to fluctuations in measured power levels. However, target surface dynamics distort the interferogram via Doppler shifting, introducing a bias in the demodulation process. With typical commercial off-the-shelf hardware, a broadband source centered near 1550 nm, and an otherwise typical setup, the bias may be as large as 50–100 μm for target surface velocities as low as 0.1mm/s. In this paper, the authors derive a model for this Doppler-induced position bias, relating its magnitude to three swept-filter tuning parameters. Target velocity (magnitude and direction) is calculated using this relationship in conjunction with a phase-diversity approach, and knowledge of the target’s velocity is then used to compensate exactly for the position bias. The phase-diversity approach exploits side-by-side measurement signals, transmitted through separate swept filters with distinct tuning parameters, and permits simultaneous measurement of target velocity and target position, thereby mitigating the most fundamental performance limitation that exists on dynamic white light interferometric position sensors.

© 2012 Optical Society of America

OCIS Codes
(060.2370) Fiber optics and optical communications : Fiber optics sensors
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(280.4788) Remote sensing and sensors : Optical sensing and sensors

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: July 3, 2012
Manuscript Accepted: August 8, 2012
Published: September 13, 2012

Citation
Erik A. Moro, Michael D. Todd, and Anthony D. Puckett, "Understanding the effects of Doppler phenomena in white light Fabry–Perot interferometers for simultaneous position and velocity measurement," Appl. Opt. 51, 6518-6527 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-27-6518


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References

  1. F. Shen and A. Wang, “Frequency-estimation-based signal-processing algorithm for white-light optical fiber Fabry–Perot interferometers,” Appl. Opt. 44, 5206–5214 (2005). [CrossRef]
  2. Y. Jiang, and W. Ding, “Recent developments in fiber optic spectral white-light interferometry,” Phot. Sens. 1, 62–71 (2011). [CrossRef]
  3. Y. Jiang, “Fourier transform white-light interferometry for the measurement of fiber-optic extrinsic Fabry–Perót interferometric displacement sensors,” IEEE Photon. Technol. Lett. 20, 75–77 (2008). [CrossRef]
  4. M. Han, “Theoretical and experimental study of low-finesse extrinsic Fabry–Perót interferometric fiber optic sensors,” Ph.D. dissertation (Virginia Polytechnic Institute and State University, 2006.
  5. R. O. Cook and C. W. Hamm, “Fiber optic lever displacement transducer,” Appl. Opt. 18, 3230–3241 (1979). [CrossRef]
  6. F. Suganuma, A. Shimamoto, and K. Tanaka, “Development of a differential optical-fiber displacement sensor,” Appl. Opt. 38, 1103–1109 (1999). [CrossRef]
  7. E. A. Moro, M. D. Todd, and A. D. Puckett, “Using a validated transmission model for the optimization of bundled fiber optic displacement sensors,” Appl. Opt. 50, 6526–6535 (2011). [CrossRef]
  8. D. T. Smith, J. R. Pratt, and L. P. Howard, “A fiber-optic interferometer with subpicometer resolution for dc and low-frequency displacement measurement,” Rev. Sci. Instrum. 80, 035105 (2009). [CrossRef]
  9. E. A. Moro, M. D. Todd, and A. D. Puckett, “Dynamics of a non-contacting, white light Fabry–Perot interferometric displacement sensor,” Appl. Opt. 51, 4394–4402 (2012). [CrossRef]
  10. M. Rakhmanov, “Doppler-induced dynamics of fields in Fabry–Perot cavities with suspended mirrors,” Appl. Opt. 40, 1942–1949 (2001). [CrossRef]
  11. M. J. Lawrence, B. Willke, M. E. Husman, E. K. Gustafson, and R. L. Byer, “Dynamic response of a Fabry–Perot interferometer,” J. Opt. Soc. Am. B 16, 523–532 (1999). [CrossRef]
  12. O. T. Strand, D. R. Goosman, C. Martinez, T. L. Whitworth, and W. W. Kuhlow, “Compact system for high-speed velocimetry using heterodyne techniques,” Rev. Sci. Instrum. 77, 083108 (2006). [CrossRef]
  13. A. M. Abdi and S. E. Watkins, “Demodulation of fiber-optic sensors for frequency response measurement,” IEEE Sens. J. 7, 667–676 (2007). [CrossRef]

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