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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 25 — Dec. 10, 2007
  • pp: 16328–16341

Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere

Rodrigo J. Noriega-Manez and Julio C. Gutiérrez-Vega  »View Author Affiliations

Optics Express, Vol. 15, Issue 25, pp. 16328-16341 (2007)

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The Rytov theory for the propagation of Helmholtz-Gauss (HzG) beams in turbulent atmosphere is presented. We derive expressions for the first and second-order normalized Born approximations, the second-order moments, and the transverse intensity pattern of the HzG beams at any arbitrary propagation distance. The general formulation is applied to study the propagation of several special cases of the HzG beams, in particular, the Bessel-Gauss and Mathieu-Gauss beams and their pure nondiffracting counterparts, the Bessel and Mathieu beams. For numerical purposes, we assume the standard Kolmogorov distribution to model the power spectrum of the atmospheric fluctuations.

© 2007 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

ToC Category:
Atmospheric and oceanic optics

Original Manuscript: September 27, 2007
Revised Manuscript: November 8, 2007
Manuscript Accepted: November 20, 2007
Published: November 26, 2007

Rodrigo J. Noriega-Manez and Julio C. Gutiérrez-Vega, "Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere," Opt. Express 15, 16328-16341 (2007)

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