Particle positioning from charge-coupled device images by the generalized Lorenz-Mie theory and comparison with experiment

Applied Optics

Volumn 39, Issue 28, 2000, Pages 5117-5124

  Moreno, David ^a   Santoyo, Fernando Mendoza ^a   Guerrero, J Ascencion ^a   Funes Gallanzi, Marcelo ^b  

^a CENTRO DE INVESTIGACIONES EN ÓPTICA   (Mexico)

^b INSTITUTO NACIONAL DE ASTROFÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CAMERAS; CHARGE COUPLED DEVICES; ELECTROMAGNETIC WAVE DIFFRACTION; ERROR ANALYSIS; VELOCITY MEASUREMENT;

PARTICLE POSITIONING;

IMAGE PROCESSING;

EID: 0000901387     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.39.005117     Document Type: Article

References (39)

1. V. Gauthier and M. L. Riethmuller, “Application of PIDV to complex flows: measurements of third component,” von Kar man Institute for Fluid Dynamics, Vol. 1988-06 of Lecture Series on Particle Image Displacement Velicometry (Rhode Saint Genese, Belgium, 1988).
2. J. Westerweel and F. T. M. Nieuwstadt, “Performance tests on 3-dimensional velocity measurements with a two-camera digital particle image velocimeter,” in Laser Anemometry: Advances and Applications, A. Dybbs and B. Ghorashi, eds. (American Society of Mechanical Engineers, New York, 1991), Vol. 1, pp. 349-355.
3. C. Gray, C. A. Greated, D. R. McCluskey, and W. J. Easson, “An analysis of the scanning beam PIV illumination system,” Meas. Sci. Technol. 2, 717-724 (1991).
4. H. Meng and F. Hussain, “Holographic particle velocimetry: a 3D measurement technique for vortex interactions, coherent structures and turbulence,” Fluid Dynam. Res. 8, 33-52 (1991).
5. C. Brucker, “Study of vortex breakdown by particle tracking velocimetry,” Exp. Fluids 13, 339-349 (1992).
6. P. J. Bryanston-Cross, M. Funes-Gallanzi, T. R. Quan, and T. R. Judge, “Holographic particle image velocimetry (HPIV),” Opt. Laser Technol. 24, 251-256 (1992).
7. F. Dinkelaker, M. Schaffer, W. Ketterle, and J. Wolfrum, “Determination of the third velocity component with PTA using an intensity graded light sheet,” Exp. Fluids 13, 357-359 (1992).
8. C. E. Willert and M. Gharib, “Three-dimensional particle imaging with a single camera,” Exp. Fluids 12, 353-358 (1992).
9. B. Ovryn and E. A. Hovenac, “Coherent forward scattering particle image velocimetry: application of Poisson’s spot for velocity measurements in fluids,” in Optical Diagnostics in Fluid and Thermal Flow, S. S. Cha and J. D. Trolinger, eds., Proc. SPIE 2005, 338-348 (1993).
10. A. K. Prasad and R. J. Adrian, “Stereoscopic particle image velocimetry applied to liquid flows,” Exp. Fluids 15, 49-60 (1993).
11. R. J. Adrian, C. D. Meinhart, D. H. Barnhart, and G. C. Papen, “An HPIV system for turbulence research,” in Proceedings of Conference on Holographic Particle Velicometry (American So-cieyt of Mechanical Engineers, New York, 1993), pp. 17-22.
12. Y. G. Guezennec, Y. Zhao, and T. J. Gieseke, “High-speed 3D scanning particle image velocimetry (3-D PIV) technique,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 11-14 July 1994.
13. A. K. Prasad and K. Jensen, “Schiempflug stereocamera for particle image velocimetry in liquid flows,” Appl. Opt. 34, 7092-7099 (1995).
14. K. D. Hinsch, “Three-dimensional particle velocimetry,” Meas. Sci. Technol. 6, 742-753 (1995).
15. A. Lecerf, B. Renou, D. Allano, A. Boukhalfa, and M. Trinite, “Stereoscopic PIV: validation and application to an isotropic turbulent flow,” Exp. Fluids 26, 107-115 (1999).
16. M. Funes-Gallanzi, “High accuracy measurement of unsteady flows using digital PIV,” Laser Opt. Technol. 30, 349-359 (1998).
17. P. Padilla Sosa and M. Funes-Gallanzi are preparing a manuscript to be called “High accuracy at low magnification 3D PIV measurement using the concept of locales.”
18. G. Gouesbet and G. Grehan, “Sur la generalisation de la theorie de Lorentz-Mie,” J. Opt. (Paris) 13, 97-103 (1982).
19. K. F. Ren, G. Grehan, and G. Gouesbet, “Electromagnetic field expression of a laser sheet and the order of approximation,” J. Opt. (Paris) 25, 165-176 (1994).
20. G. Gouesbet, B. Maheu, and G. Grehan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427-1443 (1988).
21. G. Gouesbet, C. Letellier, K. F. Ren, and G. Grehan, “Discussion of two quadrature methods of evaluating beam shape coefficients in generalized Lorenz-Mie theory,” Appl. Opt. 35, 1537-1542 (1996).
22. min the generalized Lorenz-Mie theory, using finite series,” J. Opt. (Paris) 19, 35-48 (1998).
23. G. Grehan, B. Maheu, and G. Gouesbet, “Scattering of laser beams by Mie scatters centers: numerical results using a localized approximation,” Appl. Opt. 25, 3539-3548 (1986).
24. min the generalized Lorenz-Mie theory,” J. Opt. Soc. Am. A 7, 998-1007 (1990).
25. J. A. Lock and G. Gouesbet, “Rigorous justification of the localized approximation to the beam shape coefficients in generalized Lorenz-Mie theory. I. On-axis beam,” J. Opt. Soc. Am. A 11, 2503-2515 (1994).
26. G. Gouesbet and J. A. Lock, “Rigorous justification of the localized approximation to the beam shape coefficients in generalized Lorenz-Mie theory. II. Off-axis beam,” J. Opt. Soc. Am. A 11, 2516-2525 (1994).
27. K. F. Ren, G. Grehan, and G. Gouesbet, “Evaluation of laser laser-sheet beam shape coefficients in generalized Lorenz-Mie theory by use of a localized approximation,” J. Opt. Soc. Am. A 11, 2072-2079 (1994).
28. G. Gouesbet, J. A. Lock, and G. Grehan, “Partial wave representation of laser beams for use in light scattering calculation,” Appl. Opt. 34, 2113-2143 (1995).
29. K. F. Ren, G. Gouesbet, and G. Grehan, “The integral localized approximation in generalized Lorenz-Mie theory,” Appl. Opt. 37, 4218-4225 (1998).
30. G. Gouesbet, “Validity of the localized approximation for arbitrary shaped beams in the generalized Lorenz-Mie theory for spheres,” J. Opt. Soc. Am. A 7, 1641-1650 (1999).
31. J. V. Dave, “Scattering of electromagnetic radiation by a large, absorbing sphere,” IBM J. Res. Dev. 13, 302-313 (1969).
32. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1972), pp. 332-334.
33. R. J. Adrian and C. S. Yao, “Development of pulsed laser velocimetry for measurement of fluid flow,” in Proceedings, Eighth biennial Symposium on Turbulence, G. Patterson and J. L. Zakin, eds. (University of Missouri, Rolla, Mo., 1983).
34. K. J. Wiles, “Development of a system for secondary liquid injection into a Mach 2 supersonic flow to study drop size and distribution by video imaging techniques,” master’s degree thesis (University of Nebraska, Lincoln, Neb., 1985).
35. S. A. Schaub, D. R. Alexander, and J. P. Barton, “Theoretical model for the image formed by a spherical particle in a coherent imaging system: comparison to experiment,” Opt. Eng. 23, 565-571 (1989).
36. P. Debye, “Der Lichtdruck auf Kugeln von beliebigem Material,” Ann. Phys. (Leipzig) 30, 57-136 (1909).
37. G. Mie, “Bietrage zur Optik trüber Medien, speziell kolloidaler Metallosungen,” Ann. Phys. (Leipzig) 25, 377-445 (1908).
38. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
39. J. A. Guerrero, F. Mendoza Santoyo, D. Moreno, and M. Funes-Gallanzi, “Particle positioning from CCD images: experiments and comparison to the generalized Lorenz-Mie theory,” Meas. Sci. Technol. 11, 568-575 (2000).