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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 28, Iss. 9 — Sep. 1, 2011
  • pp: 1904–1908

Three-dimensional static speckle fields. Part II. Experimental investigation

Dayan Li, Damien P. Kelly, and John T. Sheridan  »View Author Affiliations

JOSA A, Vol. 28, Issue 9, pp. 1904-1908 (2011)

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In Part I [ J. Opt. Soc. Am. A 28, 1896 (2011) of this paper, the physical model for fully developed speckle is examined based on two critical assumptions. (i) It is assumed that in the object plane, the speckle field is delta correlated, and (ii) it is assumed that the speckle field in the observation plane can be described as a Gaussian random process. A satisfactory simulation technique, based on the assumption that spatial averaging can be used to replace ensemble averaging, is also presented. In this part a detailed experimental investigation of the three-dimensional speckle properties is performed using spatial averaging. The results provide solid verification for the predictions presented in Part I. The results are not only of theoretical interest but have practical implications. Techniques for locating and aligning the optical system axis with the camera center, and for measuring out-of- plane displacement, are demonstrated.

© 2011 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(050.1940) Diffraction and gratings : Diffraction
(200.2610) Optics in computing : Free-space digital optics
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Coherence and Statistical Optics

Original Manuscript: June 15, 2011
Manuscript Accepted: July 12, 2011
Published: August 25, 2011

Dayan Li, Damien P. Kelly, and John T. Sheridan, "Three-dimensional static speckle fields. Part II. Experimental investigation," J. Opt. Soc. Am. A 28, 1904-1908 (2011)

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  1. D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part I. Theory and a numerical investigation,” J. Opt. Soc. Am. A 28, 1896–1903 (2011).
  2. L. Leushacke and M. Kirchner, “Three-dimensional correlation coefficient of speckle intensity for rectangular and circular apertures,” J. Opt. Soc. Am. 7, 827–832 (1990). [CrossRef]
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  10. J. E. Ward, “Optical metrology, speckle control, and the reduction of image degradation due to atmospheric turbulence,” Ph.D. dissertation (University College Dublin, 2009).
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  13. D. P. Kelly, J. E. Ward, B. M. Hennelly, U. Gopinathan, F. T. O’Neill, and J. T. Sheridan, “Paraxial speckle-based metrology system with an aperture,” J. Opt. Soc. Am. 23, 2861–2870 (2006). [CrossRef]
  14. B. Bhaduri, C. Quan, C. J. Tay, and M. Sjödahl, “Simultaneous measurement of translation and tilt using digital speckle photography,” Appl. Opt. 49, 3573–3579 (2010). [CrossRef] [PubMed]
  15. Wolfram Research, http://reference.wolfram.com/mathematica/ref/Interpolation.html.

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