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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 2 — Feb. 1, 2009
  • pp: 371–375

Statistics of spatially integrated speckle intensity difference

Steen G. Hanson and Harold T. Yura  »View Author Affiliations


JOSA A, Vol. 26, Issue 2, pp. 371-375 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000371


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Abstract

We consider the statistics of the spatially integrated speckle intensity difference obtained from two separated finite collecting apertures. For fully developed speckle, closed-form analytic solutions for both the probability density function and the cumulative distribution function are derived here for both arbitrary values of the mean number of speckles contained within an aperture and the degree of coherence of the optical field. Additionally, closed-form expressions are obtained for the corresponding n th statistical moments.

© 2009 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(120.7250) Instrumentation, measurement, and metrology : Velocimetry

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: November 14, 2008
Manuscript Accepted: December 10, 2008
Published: January 29, 2009

Citation
Steen G. Hanson and Harold T. Yura, "Statistics of spatially integrated speckle intensity difference," J. Opt. Soc. Am. A 26, 371-375 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-2-371


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References

  1. J. D. Rigden and E. I. Gordon, “The granularity of scattered optical maser light,” Proc. IRE 50, 2367-2368 (1962).
  2. J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts, 2006).
  3. R. Barakat, “Second-order statistics of integrated intensities and of detected photoelectrons,” J. Mod. Opt. 34, 91-102 (1987). [CrossRef]
  4. P. K. Rastogi, Optical Measurement Techniques (Artech House, 1997).
  5. M. S. Beck and A. Plaskowski, Cross Correlation Flowmeters--Their Design and Application (Hilger, 1987).
  6. J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts, 2006), Sec. 4.6.2.
  7. S. Wolfram, Mathematica Version 6 (Addison-Wesley, 2007).

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