Speckle contrast of the sum of

JOSA A, Vol. 29, Issue 6, pp. 11881198 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001188
Enhanced HTML Acrobat PDF (676 KB)
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, 11881198 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa2961188
Sort: Year  Journal  Reset
References
 J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts, 2006).
 S. V. Egge, M. N. Akram, V. Kartashov, K. Welde, Z. Tong, U. Österberg, and A. Aksnes, “Sinusoidal rotating grating for speckle reduction in laser projectors: feasibility study,” Opt. Eng. 50, 083202 (2011). [CrossRef]
 J. W. Goodman, Introduction to Fourier Optics3rd ed. (McGrawHill, 2005).
 V. Kartashov and M. N. Akram, “Speckle suppression in projection displays by using a motionless changing diffuser,” J. Opt. Soc. Am. A 27, 2593–2601 (2010). [CrossRef]
 J. W. Goodman, “Probability density function of the sum of N partially correlated speckle patterns,” Opt. Commun. 13, 244–247 (1975). [CrossRef]
 R. Barakat, “The brightness distribution of the sum of two correlated speckle patterns,” Opt. Commun. 8, 14–16 (1973). [CrossRef]
 J. W. Goodman, Statistical Optics (Wiley, 1985).
 J. Ohtsubo and T. Asakura, “Statistical properties of the sum of partiallydeveloped, correlated speckle patterns,” Appl. Phys. A 17, 159–164 (1978). [CrossRef]
 J. Ohtsubo and T. Asakura, “Statistical properties of the sum of two partially correlated speckle patterns,” Appl. Phys. 14, 183–187 (1977). [CrossRef]
 A. Valberg, Light Vision Color (Wiley, 2005).
 R. J. Larsen and M. L. Marx, An Introduction to Mathematical Statistics and Its Applications, 3rd ed. (PrenticeHall, 2001).
 J. W. Goodman, “Some fundamental properties of speckle,” J. Opt. Soc. Am. 66, 1145–1150 (1976). [CrossRef]
 J. F. Power, “Fresnel diffraction model for the point spread of a laser light profile microscope (LPM),” Appl. Phys. B 78, 693–703 (2004). [CrossRef]
 A. Papoulis, Systems and Transforms with Applications in Optics (McGrawHill, 1968).
 C. MenesesFabian and G. RodriguezZurita, “Carrier fringes in the twoaperture commonpath interferometer,” Opt. Lett. 36, 642–644 (2011). [CrossRef]
Cited By 
Alert me when this paper is cited 
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's CitedBy Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
OSA is a member of CrossRef.