The copula: a tool for simulating speckle dynamics
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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