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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. 4 — Apr. 1, 2006
  • pp: 889–893

Formulation of correlations for general-type beams in atmospheric turbulence

Yahya Baykal  »View Author Affiliations

JOSA A, Vol. 23, Issue 4, pp. 889-893 (2006)

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Log-amplitude and phase correlations of general-type beams are formulated in atmospheric turbulence. A general beam is described as the superposition of many sets of multimode contents, each mode being off-axis Hermite–Gaussian. Since the Rytov solution is utilized, the formulas are valid in the weakly turbulent regime. The results are presented in integral forms that should be numerically evaluated for the specific beam type of interest. Our general beam results correctly reduce to the existing solutions for the correlations of limiting-case beams such as higher-order single-mode, multimode, off-axis Hermite–Gaussian, Hermite–sinusoidal-Gaussian, higher-order-annular, flat-topped-Gaussian, and thus naturally fundamental mode, plane, and spherical waves. Scintillation index and phase fluctuations in atmospheric optical links employing such special beams will be examined in future using the results reported here.

© 2006 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(030.4070) Coherence and statistical optics : Modes
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: August 12, 2005
Manuscript Accepted: September 16, 2005

Yahya Baykal, "Formulation of correlations for general-type beams in atmospheric turbulence," J. Opt. Soc. Am. A 23, 889-893 (2006)

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  1. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 1998).
  2. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001). [CrossRef]
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  7. Y. Baykal, "Correlation and structure functions for multimode-laser-beam incidence in atmospheric turbulence," J. Opt. Soc. Am. A 4, 817-819 (1987). [CrossRef]
  8. Y. Baykal and H. T. Eyyuboglu, "Scintillation index of flat-topped-Gaussian beams," Appl. Opt. (to be published).
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  10. I. S. Gradysteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 2000).

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