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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. 8 — Aug. 1, 2006
  • pp: 1924–1936

Speckle-field propagation in “frozen” turbulence: brightness function approach

Vadim V. Dudorov, Mikhail A. Vorontsov, and Valeriy V. Kolosov  »View Author Affiliations

JOSA A, Vol. 23, Issue 8, pp. 1924-1936 (2006)

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Speckle-field long- and short-exposure spatial correlation characteristics for target-in-the-loop (TIL) laser beam propagation and scattering in atmospheric turbulence are analyzed through the use of two different approaches: the conventional Monte Carlo (MC) technique and the recently developed brightness function (BF) method. Both the MC and the BF methods are applied to analysis of speckle-field characteristics averaged over target surface roughness realizations under conditions of “frozen” turbulence. This corresponds to TIL applications where speckle-field fluctuations associated with target surface roughness realization updates occur within a time scale that can be significantly shorter than the characteristic atmospheric turbulence time. Computational efficiency and accuracy of both methods are compared on the basis of a known analytical solution for the long-exposure mutual correlation function. It is shown that in the TIL propagation scenarios considered the BF method provides improved accuracy and requires significantly less computational time than the conventional MC technique. For TIL geometry with a Gaussian outgoing beam and Lambertian target surface, both analytical and numerical estimations for the speckle-field long-exposure correlation length are obtained. Short-exposure speckle-field correlation characteristics corresponding to propagation in “frozen” turbulence are estimated using the BF method. It is shown that atmospheric turbulence–induced static refractive index inhomogeneities do not significantly affect the characteristic correlation length of the speckle field, whereas long-exposure spatial correlation characteristics are strongly dependent on turbulence strength.

© 2006 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(110.0110) Imaging systems : Imaging systems

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: November 1, 2005
Manuscript Accepted: February 7, 2006

Vadim V. Dudorov, Mikhail A. Vorontsov, and Valeriy V. Kolosov, "Speckle-field propagation in "frozen" turbulence: brightness function approach," J. Opt. Soc. Am. A 23, 1924-1936 (2006)

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