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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

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1160–1166

Dynamic laser speckle in complex ABCD optical systems

H. T. Yura, B. Rose, and S. G. Hanson  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1160-1166 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001160


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Abstract

Within the framework of ABCD matrix theory an exact analytical expression is derived for the space–time-lagged photocurrent covariance that is valid for arbitrary (complex) ABCD optical systems, i.e., systems that include Gaussian-shaped apertures and partially developed speckle. General expressions are derived for the mean spot size and both the mean speckle size and the temporal coherence length. Additionally, a general description of both speckle boiling and speckle translation in an arbitrary observation plane is given. Included in the analysis is the effect of a finite wave-front-curvature radius for the Gaussian-shaped laser beam illumination of the target. The effects of diffraction and wave-front-curvature radius are discussed for both imaging systems and a Fourier transform system. It is shown that, whereas diffraction affects the speckle dynamics in both cases, a finite wave-front curvature affects only the speckle dynamics in the Fourier transform system. Further, the effects of finite detector apertures are considered, in which the effects of speckle averaging are included and discussed. In contrast to previous work, the obtained analytical results are expressed in a relatively compact form yet fully contain all diffraction effects and apply to an arbitrary ABCD optical system.

© 1998 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
(110.1220) Imaging systems : Apertures
(110.6150) Imaging systems : Speckle imaging
(290.5880) Scattering : Scattering, rough surfaces

History
Original Manuscript: September 23, 1997
Revised Manuscript: November 17, 1997
Manuscript Accepted: January 12, 1997
Published: May 1, 1998

Citation
H. T. Yura, B. Rose, and S. G. Hanson, "Dynamic laser speckle in complex ABCD optical systems," J. Opt. Soc. Am. A 15, 1160-1166 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1160

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