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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 21 — Jul. 20, 2008
  • pp: 3941–3953

Measurement uncertainty and temporal resolution of Doppler global velocimetry using laser frequency modulation

Andreas Fischer, Lars Büttner, Jürgen Czarske, Michael Eggert, and Harald Müller  »View Author Affiliations

Applied Optics, Vol. 47, Issue 21, pp. 3941-3953 (2008)

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A Doppler global velocimetry (DGV) measurement technique with a sinusoidal laser frequency modulation is presented for measuring velocity fields in fluid flows. A cesium absorption cell is used for the conversion of the Doppler shift frequency into a change in light intensity, which can be measured by a fiber coupled avalanche photo diode array. Because of a harmonic analysis of the detector element signals, no errors due to detector offset drifts occur and no reference detector array is necessary for measuring the scattered light power. Hence, large errors such as image misalignment errors and beam split errors are eliminated. Furthermore, the measurement system is also capable of achieving high measurement rates up to the modulation frequency ( 100 kHz ) and thus opens new perspectives to multiple point investigations of instationary flows, e.g., for turbulence analysis. A fundamental measurement uncertainty analysis based on the theory of Cramér and Rao is given and validated by experimental results. The current relation between time resolution and measurement uncertainty, as well as further optimization strategies, are discussed.

© 2008 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.7250) Instrumentation, measurement, and metrology : Velocimetry
(280.2490) Remote sensing and sensors : Flow diagnostics
(280.7060) Remote sensing and sensors : Turbulence

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: March 20, 2008
Manuscript Accepted: April 25, 2008
Published: July 17, 2008

Andreas Fischer, Lars Büttner, Jürgen Czarske, Michael Eggert, and Harald Müller, "Measurement uncertainty and temporal resolution of Doppler global velocimetry using laser frequency modulation," Appl. Opt. 47, 3941-3953 (2008)

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  1. I. Röhle and C. E. Willert, “Extension of Doppler global velocimetry to periodic flows,” Meas. Sci. Technol. 12, 420-431(2001). [CrossRef]
  2. R. J. Adrian, “Twenty years of particle image velocimetry,” Exp. Fluids 39, 159-169 (2005). [CrossRef]
  3. J. Westerweel, “Fundamentals of digital particle image velocimetry,” Meas. Sci. Technol. 8, 1379-1392 (1997). [CrossRef]
  4. N. J. Lawson and J. Wu, “Three-dimensional particle image velocimetry: experimental error analysis of a digital angular stereoscopic system,” Meas. Sci. Technol. 8, 1455-1464(1997). [CrossRef]
  5. H. Komine, “System for measuring velocity field of fluid flow utilizing a laser-Doppler spectral image converter,” U.S. patent 4,919,536 (24 April 1990).
  6. J. F. Meyers, J. W. Lee, and R. J. Schwartz, “Characterization of measurement error sources in Doppler global velocimetry,” Meas. Sci. Technol. 12, 357-368 (2001). [CrossRef]
  7. G. L. Morrison and C. A. Gaharan, “Uncertainty estimates in DGV systems due to pixel location and velocity gradients,” Meas. Sci. Technol. 12, 369-377 (2001). [CrossRef]
  8. H. Müller, T. Lehmacher, and G. Grosche, “Profile sensor based on Doppler Global Velocimetry,” in 8th International Conference on Laser Anemometry--Advances and Applications, A. Cenedese and D. Pitrogiacomi, eds. (University of Rome “La Sapienza,” 1999), pp. 475-482.
  9. A. Fischer, L. Büttner, J. Czarske, M. Eggert, G. Grosche, and H. Müller, “Investigation of time-resolved single detector Doppler global velocimetry using sinusoidal laser frequency modulation,” Meas. Sci. Technol. 18, 2529-2545 (2007). [CrossRef]
  10. R. L. McKenzie, “Measurement capabilities of planar Doppler velocimetry using pulsed lasers,” Appl. Opt. 35, 948-964 (1996). [CrossRef] [PubMed]
  11. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice-Hall, 1993).
  12. H. Müller, M. Eggert, J. Czarske, L. Büttner, and A. Fischer, “Single-camera Doppler global velocimetry based on frequency modulation techniques,” Exp. Fluids 43, 223-232 (2007). [CrossRef]
  13. T. O. H. Charrett and R. P. Tatam, “Single camera three component planar velocity measurements using two-frequency planar Doppler velocimetry (2ν-PDV),” Meas. Sci. Technol. 17, 1194-1206 (2006). [CrossRef]
  14. T. O. H. Charrett, D. S. Nobes, and R. P. Tatam, “Investigation into the selection of viewing configurations for three-component planar Doppler velocimetry measurements,” Appl. Opt. 46, 4102-4116 (2007). [CrossRef] [PubMed]
  15. D. A. Steck, “Cesium D line data (rev. 1.6),” Los Alamos National Laboratory, http://steck.us/alkalidata (2003).
  16. O. Svelto, Principles of Lasers (Plenum, 1998).
  17. Thermochemical Properties of Inorganic Substances, 2nd ed., O. Knacke, O. Kubaschweski, and K. Hesselmann, eds. (Springer, 1991), Vol. I, pp. 543-545.
  18. R. J. Rafac and C. E. Tanner, “Measurement of the ratio of the cesium D-line transition strengths,” Phys. Rev. A 58, 1087-1097 (1998). [CrossRef]
  19. G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, 1997).

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