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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. 24, Iss. 1 — Jan. 1, 2007
  • pp: 156–162

Scintillations of cos–Gaussian and annular beams

Halil T. Eyyuboğlu and Yahya Baykal  »View Author Affiliations

JOSA A, Vol. 24, Issue 1, pp. 156-162 (2007)

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Based on the generalized beam formulation, we derive the scintillation index and selectively evaluate it for cos–Gaussian and annular beams propagating in weak atmospheric turbulence. Dependence of the scintillation index on propagation length, focusing and displacement parameters, wavelength of operation, and source size are individually investigated. From our graphical outputs, it is observed that a cos–Gaussian beam exhibits lower scintillations and thus has a tendency to be advantageous over a pure Gaussian beam particularly at lower propagation lengths. It is also found that at longer propagation lengths, this advantage switches to the side of the annular beam. Furthermore, the scintillation index of a focused annular beam will be below those of both Gaussian and cos–Gaussian beams starting at earlier propagation distances. When analyzed against source sizes, it is seen that cos–Gaussian beams will offer advantages at relatively large source sizes, while the reverse will be applicable for annular beams.

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

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: June 9, 2006
Revised Manuscript: July 26, 2006
Manuscript Accepted: July 26, 2006

Halil T. Eyyuboğlu and Yahya Baykal, "Scintillations of cos-Gaussian and annular beams," J. Opt. Soc. Am. A 24, 156-162 (2007)

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  1. L. C. Andrews, R. L. Phillips, C. Y. Hopen, and M. A. Al-Habash, 'Theory of optical scintillation,' J. Opt. Soc. Am. A 16, 1417-1429 (1999). [CrossRef]
  2. L. C. Andrews, M. A. Al-Habash, C. Y. Hopen, and R. L. Phillips, 'Theory of optical scintillation: Gaussian-beam wave model,' Waves Random Media 11, 271-291 (2001). [CrossRef]
  3. V. A. Banakh and V. L. Mironov, 'Influence of the diffraction size of a transmitting aperture and the turbulence spectrum on the intensity fluctuations of laser radiation,' Sov. J. Quantum Electron. 8, 875-878 (1978). [CrossRef]
  4. W. B. Miller, J. C. Ricklin, and L. C. Andrews, 'Effects of the refractive index spectral model on the irradiance variance of a Gaussian beam,' J. Opt. Soc. Am. A 11, 2719-2726 (1994). [CrossRef]
  5. G. Ya. Patrushev, 'Fluctuations of the field of a wave beam on reflection in a turbulent atmosphere,' Sov. J. Quantum Electron. 8, 1315-1318 (1978). [CrossRef]
  6. R. L. Fante, 'Comparison of theories for intensity fluctuations in strong turbulence,' Radio Sci. 11, 215-220 (1976). [CrossRef]
  7. K. S. Gochelashvili, V. G. Pevgov, and V. I. Shishov, 'Saturation of fluctuations of the intensity of laser radiation at large distances in a turbulent atmosphere,' Sov. J. Quantum Electron. 4, 632-637 (1974). [CrossRef]
  8. S. I. Belousov and I. G. Yakushkin, 'Strong fluctuations of fields of optical beams in randomly inhomogeneous media,' Sov. J. Quantum Electron. 10, 301-304 (1980). [CrossRef]
  9. V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, 'Focused-laser-beam scintillations in the turbulent atmosphere,' J. Opt. Soc. Am. 64, 516-518 (1974). [CrossRef]
  10. F. S. Vetelino, C. Young, L. C. Andrews, K. Grant, K. Corbett, and B. Clare, 'Scintillation: theory vs. experiment,' in Atmospheric Propagation II, C. Y. Young and G. C. Gilbreath, eds., Proc. SPIE 5793, 166-177 (2005). [CrossRef]
  11. J. C. Ricklin and F. M. Davidson, 'Atmospheric optical communication with a Gaussian-Schell beam,' J. Opt. Soc. Am. A 20, 856-866 (2003). [CrossRef]
  12. O. Korotkova, 'Control of the intensity fluctuations of random electromagnetic beams on propagation in weak atmospheric turbulence,' in Free-Space Laser Communication Technologies XVIII, G. S. Mecherle, ed., Proc. SPIE 6105, 61050V (2006). [CrossRef]
  13. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961).
  14. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.
  15. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005). [CrossRef]
  16. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001). [CrossRef]
  17. F. S. Vetelino and L. C. Andrews, 'Annular Gaussian beams inturbulent media,' in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5160, 86-97 (2004). [CrossRef]
  18. D. C. Cowan, J. Recolons, L. C. Andrews, and C. Y. Young, 'Propagation of flattened Gaussian beams in the atmosphere: a comparison of theory with a computer simulation model,' in Atmospheric Propagation III, C. Y. Young and G. C. Gilbreath, eds., Proc. SPIE 6215, 62150B (2006). [CrossRef]
  19. Y. Baykal, 'Formulation of correlations for general-type beams in atmospheric turbulence,' J. Opt. Soc. Am. A 23, 889-893 (2006). [CrossRef]
  20. Y. Baykal and H. T. Eyyuboglu, 'Scintillation index of flat-topped-Gaussian beams,' Appl. Opt. 45, 3793-3797 (2006). [CrossRef] [PubMed]
  21. Y. Baykal, 'Beams with arbitrary field profiles in turbulence,' in SPIE Conference, XIII International Symposium on Atmospheric and Ocean Optics. Atmospheric Physics (Tomsk, Russia, July 2-7, 2006), invited paper. [PubMed]
  22. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 2000).
  23. H. T. Eyyuboglu and Y. Baykal, 'Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in turbulent atmosphere,' Opt. Express 12, 4659-4674 (2004). [CrossRef] [PubMed]
  24. A. Ishimaru, 'Fluctuations in the parameters of spherical waves propagating in a turbulent atmosphere,' Radio Sci. 4, 295-305 (1969). [CrossRef]

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