OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.29.005282


View Full Text Article

Enhanced HTML    Acrobat PDF (1347 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
Robert Rubinstein and Paul S. Greenberg, "Particle image fields and partial coherence," Appl. Opt. 29, 5282-5291 (1990)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-29-35-5282


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited