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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. 25, Iss. 1 — Jan. 1, 2008
  • pp: 231–237

The copula: a tool for simulating speckle dynamics

Donald D. Duncan and Sean J. Kirkpatrick  »View Author Affiliations


JOSA A, Vol. 25, Issue 1, pp. 231-237 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000231


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Abstract

Use of a copula for generating a sequence of correlated speckle patterns is introduced. The chief characteristic of this algorithm is that it generates a continuous speckle sequence with a specified evolution of the correlation and does so with just two arrays of random numbers. Thus, physically realistic temporally varying speckle patterns with proper first- and second-order statistics are easily realized. We illustrate use of the algorithm for generating sequences with prescribed Gaussian, exponential, and equal-interval correlations and demonstrate how correlation times can be specified independently. This approach to generating sequences of random realizations with prescribed correlations should prove useful in modeling such phenomena as dynamic light scatter, flow-dependent laser speckle contrast, and propagation of spatial coherence.

© 2008 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(110.4500) Imaging systems : Optical coherence tomography
(110.6150) Imaging systems : Speckle imaging
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging
(300.6480) Spectroscopy : Spectroscopy, speckle

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: August 21, 2006
Revised Manuscript: October 26, 2007
Manuscript Accepted: November 6, 2007
Published: December 20, 2007

Virtual Issues
Vol. 3, Iss. 2 Virtual Journal for Biomedical Optics

Citation
Donald D. Duncan and Sean J. Kirkpatrick, "The copula: a tool for simulating speckle dynamics," J. Opt. Soc. Am. A 25, 231-237 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-1-231

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