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Applied Optics

Applied Optics


  • Vol. 22, Iss. 10 — May. 15, 1983
  • pp: 1454–1461

Digital image processing of flow visualization photographs

Lambertus Hesselink and Benjamin S. White  »View Author Affiliations

Applied Optics, Vol. 22, Issue 10, pp. 1454-1461 (1983)

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This paper is concerned with the propagation of laser light through a slab of a randomly varying medium. A theoretical analysis is presented which relates the spectrum of the recorded-intensity field some distance downstream of the medium to the spectrum of the index-of-refraction field. For a homogeneous and isotropic random field, the 3-D spectrum of the medium is obtained from the 2-D spectrum of the photograph by dividing each component of the spectrum by the frequency raised to the fourth power. Free-space propagation outside the random medium is accounted for by a scaling factor. Experimental results are presented which support the theoretical analysis. The nonintrusive diagnostic technique presented here is applicable to photographs which contain partially developed caustic networks.

© 1983 Optical Society of America

Original Manuscript: July 1, 1982
Published: May 15, 1983

Lambertus Hesselink and Benjamin S. White, "Digital image processing of flow visualization photographs," Appl. Opt. 22, 1454-1461 (1983)

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  1. G. L. Brown, A. Roshko, J. Fluid Mech. 64, 775 (1974). [CrossRef]
  2. M. S. Uberoi, L. S. G. Kovasznay, J. Appl. Phys. 26, 19 (1954). [CrossRef]
  3. L. S. Taylor, AIAA J. 8, 1284 (1969).
  4. V. I. Tatarski, Wave Propagation In A Random Medium (McGraw-Hill, New York, 1960).
  5. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
  6. L. Hesselink, in Proceedings, Eleventh International Symposium on Shock Tubes and Waves, Seattle, Wash., July 1977.
  7. L. Hesselink, J. Fluid Mechanics, in preparation; B. Sturtevant, L. Hesselink, B. S. White, V. Kulkarny, C. Catherasoo, “Propagation of Shock Waves through Nonuniform and Random Media,” in Proceedings, Thirteenth International Symposium on Shock Tubes and Waves, July 1981, Niagara Falls, N.Y.
  8. M. V. Berry, Upstill, Prog. Opt. 18, 257 (1980). [CrossRef]
  9. V. Kulkarny, B. S. White, Phys. Fluids 25, 1770 (1982). [CrossRef]
  10. B. S. White, “The Stochastic Caustic,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. submitted.
  11. R. Buckley, Aust. J. Phys. 24, 351 (1971).
  12. R. Buckley, Aust. J. Phys. 24, 373 (1971).
  13. M. V. Berry, J. Phys. A. 10, 2061 (1977). [CrossRef]
  14. E. Jakeman, J. G. McWhirter, J. Phys. A. 10, 1599 (1977). [CrossRef]
  15. M. S. Longuet-Higgins, J. Opt. Soc. Am. 50, 838 (1960). [CrossRef]
  16. M. S. Longuet-Higgins, Proc. Comb. Phil. Soc. 54, 439 (1958). [CrossRef]
  17. M. S. Longuet-Higgins, Proc. Comb. Phil. Soc. 54, 91 (1951).
  18. M. S. Longuet-Higgins, Proc. Comb. Phil. Soc. 54, 27 (1960). [CrossRef]
  19. Y. A. Kravtsov, Zh. Eksp. Teor. Fiz. 55, 798 (1969) [Soviet Phys. JETP 23, 413 (1969)].

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