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Speckle contrast of the sum of N partially correlated speckle patterns |
JOSA A, Vol. 29, Issue 6, pp. 1188-1198 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001188
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Abstract
In this paper a general method is presented for calculating the theoretical speckle contrast of a sum of correlated speckle patterns, motivated by the need to suppress the presence of speckle in laser projection displays. The method is applied to a specific example, where correlated speckle patterns are created by sequentially passing light through partially overlapping areas on a diffuser, before being projected onto a screen. This design makes it possible to find a simple expression for the correlation between speckle patterns. When the set of correlations involves symmetry, it is shown that the expression for the speckle contrast becomes simpler. The difference in performance between discretely and continuously varying speckle patterns is also investigated. In an example with speckle reduction by a rotating sinusoidal grating, it is found that continuous variation gives a speckle contrast that is 0.61 times the contrast obtained by discretely summing the maximum number of independent patterns.
© 2012 Optical Society of America
OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(050.1970) Diffraction and gratings : Diffractive optics
(110.1650) Imaging systems : Coherence imaging
(120.2040) Instrumentation, measurement, and metrology : Displays
ToC Category:
Coherence and Statistical Optics
History
Original Manuscript: October 18, 2011
Revised Manuscript: December 25, 2011
Manuscript Accepted: January 6, 2012
Published: June 1, 2012
Citation
Sigbjørn Vindenes Egge, Ulf Österberg, and Astrid Aksnes, "Speckle contrast of the sum of N partially correlated speckle patterns," J. Opt. Soc. Am. A 29, 1188-1198 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-6-1188
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