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Applied Optics

Applied Optics


  • Vol. 44, Iss. 6 — Feb. 20, 2005
  • pp: 976–983

Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere

Halil T. Eyyuboglu and Yahya Baykal  »View Author Affiliations

Applied Optics, Vol. 44, Issue 6, pp. 976-983 (2005)

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The average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere are examined. Our research is based principally on formulating the average-intensity profile at the receiver plane for cosh-Gaussian excitation. The limiting cases of our formulation for the average intensity are found to reduce correctly to the existing Gaussian beam wave result in turbulence and the cosh-Gaussian beam result in free space (in the absence of turbulence). The average intensity and the broadening of the cosh-Gaussian beam wave after it propagates in the turbulent atmosphere are numerically evaluated versus source size, beam displacement, link length, structure constant, and two wavelengths of 0.85 and 1.55 µm, which are most widely used in currently employed free-space-optical links. Results indicate that in turbulence the beam is widened beyond its free-space diffraction values. At the receiver plane, analogous to the case of free space, this diffraction eventually leads to transformation of the cosh-Gaussian beam into an oscillatory average-intensity profile with a Gaussian envelope.

© 2005 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
(060.4510) Fiber optics and optical communications : Optical communications

Halil T. Eyyuboglu and Yahya Baykal, "Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere," Appl. Opt. 44, 976-983 (2005)

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  1. Z. I. Feizulin and Y. A. Kravtsov, "Broadening of a laser beam in a turbulent medium," Radiophys. Quantum Electron. 10, 33-35 (1967).
  2. S. C. H. Wang and M. A. Plonus, "Optical beam propagation for a partially coherent source in the turbulent atmosphere," J. Opt. Soc. Am. 69, 1297-1304 (1979).
  3. C. Y. Young, Y. V. Gilchrest, and B. R. Macon, "Turbulence-induced beam spreading of higher-order mode optical waves," Opt. Eng. 41, 1097-1103 (2002).
  4. T. Shirai, A. Dogariu, and E. Wolf, "Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence," J. Opt. Soc. Am. A 20, 1094-1102 (2003).
  5. S. A. Ponomarenko, J. J. Greffet, and E. Wolf, "The diffusion of partially coherent beams in turbulent media," Opt. Commun. 208, 1-8 (2002).
  6. A. Dogariu and S. Amarande, "Propagation of partially coherent beams: turbulence-induced degradation," Opt. Lett. 28, 10-12 (2003).
  7. C. C. Davis, I. I. Smolyaninov, and S. D. Milner, "Flexible optical wireless links and networks," IEEE Commun. Mag. 41, 51-57 (2003).
  8. H. A. Willebrand and B. S. Ghuman, "Fiber optics without fiber," IEEE Spectrum 38, 40-45 (2001).
  9. X. Zhu, J. M. Kahn, and J. Wang, "Mitigation of turbulence-induced scintillation noise in free-space optical links using temporal-domain detection techniques," IEEE Photonics Technol. Lett. 15, 623-625 (2003).
  10. 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).
  11. A. A. Tovar and L. W. Casperson, "Production and propagation of Hermite-sinusoidal-Gaussian laser beams," J. Opt. Soc. Am. A 15, 2425-2432 (1998).
  12. B. Lü, H. Ma, and B. Zhang, "Propagation properties of cosh-Gaussian beams," Opt. Commun. 164, 165-170 (1999).
  13. B. Lü and S. R. Luo, "Beam propagation factor of hard-edge diffracted cosh-Gaussian beams," Opt. Commun. 178, 275-281 (2000).
  14. S. Yu, H. Guo, X. Q. Fu, and W. Hu, "Propagation properties of elegant Hermite-cosh-Gaussian laser beams," Opt. Commun. 204, 59-66 (2002).
  15. I. S. Gradysteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980).

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