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Applied Optics

Applied Optics


  • Vol. 39, Iss. 34 — Dec. 1, 2000
  • pp: 6350–6359

Minimum Theoretical Requirements for Three-Dimensional Scanning-Laser Doppler Anemometry

Paul J. Cronin and Carol J. Cogswell  »View Author Affiliations

Applied Optics, Vol. 39, Issue 34, pp. 6350-6359 (2000)

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An investigation of the minimum number of intersecting beams that is required for laser Doppler anemometry (LDA) incorporating only a single detector is presented. We aim to provide decisive arguments for using four beams as the minimum requirement for complete three-dimensional velocity reconstruction even though three beams supply three velocity components. We derive expressions for the detected signals of the most general LDA system. From a matrix analysis of these expressions, we conclude that there is no physically realizable arrangement of three beams that results in complete three-dimensional velocity reconstruction and that four beams is the minimum number of beams required. We also determine the optimal arrangement of the four incident beams for unambiguous LDA and for best signal separation and immunity to minor optical alignment errors. To ascertain the velocity components, we scan the specimen in a precise manner relative to the point of focus of the beams, whereas some other researchers alter the frequency of the incident beams. The results obtained with these two methods are equivalent. However, scanning is mechanically simpler than frequency shifting and also allows for the formation of velocity images—images of the flow velocity over a region in two- or three-dimensional space. In particular, we examine systems that are limited by the common practice of using only a single high-numerical-aperture objective for both focusing and detection. We show that using high-numerical-aperture objectives results in the best signal differentiation and immunity to minor alignment errors.

© 2000 Optical Society of America

OCIS Codes
(170.3340) Medical optics and biotechnology : Laser Doppler velocimetry
(220.1140) Optical design and fabrication : Alignment
(280.2490) Remote sensing and sensors : Flow diagnostics
(280.3340) Remote sensing and sensors : Laser Doppler velocimetry

Paul J. Cronin and Carol J. Cogswell, "Minimum Theoretical Requirements for Three-Dimensional Scanning-Laser Doppler Anemometry," Appl. Opt. 39, 6350-6359 (2000)

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  1. Y. Yeh and H. Z. Cummins, “Localized fluid flow measurement with a He–Ne laser spectrometer,” Appl. Phys. Lett. 4, 176–178 (1964).
  2. J. W. Foreman, E. W. Georege, and R. D. Lewis, “Measurement of localized flow velocities in gases with a laser Doppler flowmeter,” Appl. Phys. Lett. 7, 77–78 (1965).
  3. D. C. Wisler and P. W. Mossey, “Gas velocity measurements within a compressor rotor passage using the laser Doppler velocimeter,” J. Eng. Power Trans. ASME 95, 91–96 (1973).
  4. R. J. Baker, P. Hutchinson, and J. H. Whitelaw, “Velocity measurements in the recirculation region of an industrial burner flame by laser anemometry with light frequency shifting,” Combust. Flame 23, 57–71 (1974).
  5. S. Z. Kassab, A. E. Bakry, and H. A. Warda, “Laser Doppler anemometry measurements in an axisymmetric turbulent jet,” Rev. Sci. Instrum. 67, 1842–1849 (1996).
  6. T. Tanaka, C. Riva, and I. Ben-Sira, “Blood velocity measurements in human retinal vessels,” Science 186(4166), 830–831 (1974).
  7. C. Tropea, “Laser Doppler anemometry: recent developments and future challenges,” Meas. Sci. Technol. 6, 605–619 (1995).
  8. C. L. Dancey, “A review of three-component laser Doppler anemometry,” Int. J. Opt. Sens. 2, 5–6 (1987).
  9. S. Bopp, C. Tropea, and L. Zhan, “The use of graded-index fibers in fiber-optic laser-Doppler anemometry probes,” Rev. Sci. Instrum. 60, 3195–3200 (1989).
  10. O. Lanz, C. Johnson, and S. Morikawa, “High-resolution laser Doppler velocity measurement of bidirectional pulsatile fluid flow,” Appl. Phys. Lett. 17, 523–525 (1970).
  11. M. K. Mazumder, “Laser Doppler velocity measurement without directional ambiguity by using frequency shifted incident beams,” Appl. Phys. Lett. 16, 462–464 (1970).
  12. C. J. Bates, “Results from a two-dimensional laser Doppler anemometer,” J. Phys. Sci. Instrum. 9, 616–618 (1976).
  13. T. T. Nguyen and L. N. Binh, “A fiber-optic laser-Doppler anemometer,” Appl. Phys. Lett. 45, 1163–1165 (1984).
  14. B. Lehmann and J. Mante, “On-axis velocity measurement by laser Doppler anemometry,” J. Phys. Sci. Instrum. 17, 455–457 (1984).
  15. R. J. Hallermeier, “Design consideration for a 3-D laser Doppler velocimeter for studying gravity waves in shallow water,” Appl. Opt. 12, 294–300 (1973).
  16. M. M. Antoine and R. L. Simpson, “A rapidly scanning three-velocity-component laser Doppler anemometer,” J. Phys. Sci. Instrum. 19, 853–858 (1986).
  17. J. C. Owens, “Optical Doppler measurement of microscale wind velocity,” Proc. IEEE 57, 530–536 (1969).
  18. R. M. Huffaker, “Laser Doppler detection systems for gas velocity measurement,” Appl. Opt. 9, 1026–1039 (1970).
  19. R. J. Adrian, “A bipolar, two component laser-Doppler velocimeter,” J. Phys. Sci. Instrum. 8, 723–726 (1975).
  20. W. M. Farmer, “Determination of a third orthogonal velocity component using two rotationally displaced laser Doppler velocimeter systems,” Appl. Opt. 11, 770–774 (1972).
  21. K. A. Blake, “Simple two-dimensional laser velocimeter optics,” J. Phys. Sci. Instrum. 5, 623–624 (1972).
  22. D. B. Brayton, H. T. Kalb, and F. L. Crosswy, “Two-component dual-scatter laser Doppler velocimeter with frequency burst signal readout,” Appl. Opt. 12, 1145–1156 (1973).
  23. M. Born and E. Wolf, Principles of Optics, 7th ed., expanded (Cambridge U. Press, Cambridge, 1999).
  24. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London A 253, 358–379 (1959).
  25. G. R. Grant and K. L. Orloff, “Two-color dual-beam backscatter laser Doppler velocimeter,” Appl. Opt. 12, 2913–2916 (1973).

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