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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2198–2207

Complex amplitude correlations of dynamic laser speckle in complex A B C D optical systems

Wei Wang, Steen G. Hanson, and Mitsuo Takeda  »View Author Affiliations

JOSA A, Vol. 23, Issue 9, pp. 2198-2207 (2006)

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Within the framework of complex A B C D -matrix theory, exact theoretical expressions are derived for the space–time-lagged cross-covariance functions of the fields valid for arbitrary (complex) A B C D -optical systems, i.e., systems that include Gaussian-shaped apertures and partially developed speckle. Specifically, we show and discuss the results for the three generic systems, i.e., free-space propagation, Fourier transform configuration, and imaging. To cope with various surface structures of varying rms surface heights, we apply two models in addition to employing the usual model for surfaces giving rise to fully developed speckle. The theoretical results found for free-space propagation are supported by interferometrically obtained data.

© 2006 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.5770) Coherence and statistical optics : Roughness
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(120.6660) Instrumentation, measurement, and metrology : Surface measurements, roughness

ToC Category:
Coherence and Statistical Optics

Original Manuscript: February 9, 2006
Manuscript Accepted: March 16, 2006

Wei Wang, Steen G. Hanson, and Mitsuo Takeda, "Complex amplitude correlations of dynamic laser speckle in complex ABCD optical systems," J. Opt. Soc. Am. A 23, 2198-2207 (2006)

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