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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 16 — Jun. 1, 2006
  • pp: 3793–3797

Scintillation index of flat-topped Gaussian beams

Yahya Baykal and Halil T. Eyyuboǧlu  »View Author Affiliations

Applied Optics, Vol. 45, Issue 16, pp. 3793-3797 (2006)

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The scintillation index is formulated for a flat-topped Gaussian beam source in atmospheric turbulence. The variations of the on-axis scintillations at the receiver plane are evaluated versus the link length, the size of the flat-topped Gaussian source, and the wavelength at selected flatness scales. The existing source model that represents the flat-topped Gaussian source as the superposition of Gaussian beams is employed. In the limiting case our solution correctly matches with the known Gaussian beam scintillation index. Our results show that for flat-topped Gaussian beams scintillation is larger than that of the single Gaussian beam scintillation when the source sizes are much smaller than the Fresnel zone. However, this trend is reversed and scintillations become smaller than the Gaussian beam scintillations for flat-topped sources with sizes much larger than the Fresnel zone.

© 2006 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(290.5930) Scattering : Scintillation

Original Manuscript: June 24, 2005
Manuscript Accepted: November 3, 2005

Yahya Baykal and Halil T. Eyyuboğlu, "Scintillation index of flat-topped Gaussian beams," Appl. Opt. 45, 3793-3797 (2006)

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  1. Y. Baykal, "Correlation and structure functions of Hermite-sinusoidal-Gaussian laser beams in a turbulent atmosphere," J. Opt. Soc. Am. A 21, 1290-1299 (2004). [CrossRef]
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