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Applied Optics

Applied Optics


  • Vol. 29, Iss. 35 — Dec. 10, 1990
  • pp: 5282–5291

Particle image fields and partial coherence

Robert Rubinstein and Paul S. Greenberg  »View Author Affiliations

Applied Optics, Vol. 29, Issue 35, pp. 5282-5291 (1990)

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The accuracy of Young’s fringe method for reducing velocity field data is compromised by a spatially incoherent background field which originates in the random locations of the seeding particles. The probability density function for the spatial frequency cutoff of this background is derived as a function of the particle count, the distribution governing the power in each frequency interval is derived, and conditions are found under which the Van Cittert-Zernike theorem applies. The background field resembles the far field of a partially coherent source in the high particle count limit, but departs significantly at low and moderate counts.

© 1990 Optical Society of America

Original Manuscript: March 1, 1989
Published: December 10, 1990

Robert Rubinstein and Paul S. Greenberg, "Particle image fields and partial coherence," Appl. Opt. 29, 5282-5291 (1990)

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  1. R. J. Adrian, C. S. Yao, “Development of Pulsed Laser Velocimetry for Measurement of Turbulent Flow,” in Proceedings of the Eighth Biennial Symposium on Turbulence (University of Missouri, Rolla, 1983).
  2. M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1959).
  3. R. Dandliker, “Heterodyne Holographic Interferometry,” in Progress in Optics, E. Wolf, Ed., Vol. 17 (North-Holland, New York, 1980). [CrossRef]
  4. K. A. Stetson, “Effect of Scintillation Noise in Heterodyne Speckle Photogrammetry,” Appl. Opt. 23, 920–923 (1984). [CrossRef] [PubMed]
  5. R. D. Keane, R. J. Adrian, “Optimization of Particle Image Velocimeters,” Laser Institute of America 68, ICALEO (1989), p. 141.
  6. J. M. Coupland, C. J. D. Pickering, “Particle Image Velocimetry: Estimation of Measurement Confidence at Low Seeding Densities,” Opt. Lasers Eng. 9, 201 (1988). [CrossRef]
  7. J. W. Goodman, “Statistical Properties of Laser Speckle Patterns,” in Topics in Applied Physics, J. C. Dainty, Ed., Vol. 9, (Springer, New York, 1975), Chap. 2. [CrossRef]
  8. E. Wolf, “Coherence and Radiometry,” J. Opt. Soc. Am. 68, 6–17 (1978). [CrossRef]
  9. W. H. Carter, E. Wolf, “Coherence and Radiometry with Quasihomogeneous Planar Sources,” J. Opt. Soc. Am. 67, 785–796 (1977). [CrossRef]
  10. J. W. Goodman, “Some Effects of Target-Induced Scintillation on Optical Radar Performance,” Proc. IEEE 53, 1688 (1965). [CrossRef]
  11. K. Hinsch, W. Schipper, D. Mach, “Fringe Visibility in Speckle Velocimetry and the Analysis of Random Flow Components,” Appl. Opt. 23, 4460–4462 (1984). [CrossRef] [PubMed]
  12. R. Meynart, “Non-Gaussian Statistics of Speckle Noise of Young’s Fringes in Speckle Velocimetry,” Appl. Opt. 24, 1448–1453 (1985). [CrossRef] [PubMed]
  13. R. J. Adrian, “Statistical Properties of Particle Image Velocimetry Measurements in Turbulent Flow,” in Proceedings Fourth International Symposium on Applications of Laser Anemometry in Fluid Mechanics (Instituto Superior Tecnico, Lisbon, 1988).
  14. J. W. Goodman, Fourier Optics (McGraw-Hill, New York, 1968).
  15. C. J. D. Pickering, N. A. Halliwell, “Laser Speckle Photography and Particle Image Velocimetry: Photographic Film Noise,” Appl. Optics 23, 2961–2969 (1984). [CrossRef]
  16. W. Feller, Introduction to Probability Theory and Its Applications (Wiley, New York, 1950).
  17. S. H. Chen, P. Tartaglia, P. N. Pusey, “Light Scattering from Independent Particles—Nongaussian Correction to the Clipped Intensity Correlation Function,” J. Phys. A. 6, 490 (1973). [CrossRef]
  18. D. W. Schaefer, P. N. Pusey, “Statistics of Non-Gaussian Scattered Light,” Phys. Rev. Lett. 29, 8 (1972). [CrossRef]
  19. G. N. Watson, Treatise on the Theory of Bessel Functions (Cambridge U.P., Cambridge, 1915).

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