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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 2 — Feb. 1, 2008
  • pp: 318–326

Speckle dynamics resulting from multiple interfering beams

Harold T. Yura, Steen G. Hanson, and Michael L. Jakobsen  »View Author Affiliations


JOSA A, Vol. 25, Issue 2, pp. 318-326 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000318


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Abstract

The space–time intensity covariance function for illuminating an object giving rise to fully developed speckle is considered in the case where the object is illuminated with two spatially separated beams, or with a multitude of equidistant but spatially separated spots. Specifically, and to the best of our knowledge for the first time, we obtain the result that the larger speckles will be covered by a fine structure that, in general, translates at a different velocity from that of the larger speckles. In particular, closed-form analytical expressions are found for the space- and time-lagged covariance of irradiance as well as the corresponding power spectrum for each of the two spatially separated, N equidistant separated illuminating beams. The present analysis is valid not only for free-space propagation but also for an arbitrary real ABCD optical system. Finally, the corresponding statistical signal properties, including the power spectrum, are derived and discussed for the (practical) case where the comprehensive speckle field is spatially filtered by a gratinglike structure.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(120.7250) Instrumentation, measurement, and metrology : Velocimetry

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: October 15, 2007
Manuscript Accepted: November 19, 2007
Published: January 10, 2008

Citation
Harold T. Yura, Steen G. Hanson, and Michael L. Jakobsen, "Speckle dynamics resulting from multiple interfering beams," J. Opt. Soc. Am. A 25, 318-326 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-2-318

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