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Opt Express. 2009 Mar 2;17(5):3084-100.

Effect of optical aberration on Gaussian laser speckle.

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1
College of Optical Science, University of Arizona, 1630 E. University Boulevard, Tucson, Arizona 85721, USA. dkang@optics.arizona.edu

Abstract

Optical aberration effects up to the second moment of Gaussian laser speckle are theoretically investigated for both partially and fully developed speckle. In the development, a plane-wave illuminated diffuser generates a phase-perturbed random field in the object plane that creates speckle in the image plane. Theoretical derivations show that image field statistics are generally non-circular Gaussian due to aberrations. Speckle statistics are not affected by odd-functional aberrations, such as coma, and dependency of aberrations is asymptotically ignorable for very weak or strong diffusers. Furthermore, Gaussian speckle contrast as a functional of optical aberrations exhibits a stationary point for the aberration free condition, where apparently contrast does not achieve a local maximum. Calculations of speckle contrast for several aberration conditions are also presented.

PMID:
19259145
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