OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 29, Iss. 2 — Feb. 1, 2012
  • pp: 169–173

Intensity fluctuations of flat-topped beam in non-Kolmogorov weak turbulence

Hamza Gerçekcioğlu and Yahya Baykal  »View Author Affiliations

JOSA A, Vol. 29, Issue 2, pp. 169-173 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (882 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Results obtained on the intensity fluctuations of flat-topped Gaussian beams in weakly turbulent non-Kolmogorov horizontal atmospheric optics links are represented. Effects on the scintillation index of the power law α that describes the non-Kolmogorov spectrum are examined. Our results correctly reduce to the existing intensity fluctuations of flat-topped beams in Kolmogorov turbulence. Variation of the scintillation index against non-Kolmogorov power law α exhibits a peak at the worst power law αw, which happens to be smaller than the Kolmogorov power law of 11/3. If the power law is smaller (larger) than αw, increase in α will increase (decrease) the intensity fluctuations. Evaluation of the scintillation index at the worst power law results in smaller fluctuations for a Gaussian beam at short propagation distances; however, at long propagation distances flatter beams happen to possess smaller fluctuations. The scintillation change versus the source size follows a similar trend regardless whether the flat-topped beam propagates in a Kolmogorov or non-Kolmogorov medium.

© 2012 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

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: July 26, 2011
Revised Manuscript: November 1, 2011
Manuscript Accepted: November 11, 2011
Published: January 10, 2012

Hamza Gerçekcioğlu and Yahya Baykal, "Intensity fluctuations of flat-topped beam in non-Kolmogorov weak turbulence," J. Opt. Soc. Am. A 29, 169-173 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.
  2. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).
  3. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005).
  4. T. W. Nicholls, G. D. Boreman, and C. Dainty, “Use of a Shack–Hartmann wavefront sensor to measure deviations from a Kolmogorov phase spectrum,” Opt. Lett. 20, 2460–2462 (1995). [CrossRef]
  5. A. Zilberman, E. Golbraikh, and N. S. Kopeika, “Lidar studies of aerosol and non Kolmogorov turbulence in the Mediterranean troposphere,” Proc. SPIE 5987, 598702 (2005). [CrossRef]
  6. B. E. Stribling, B. M. Welsh, and M. C. Roggemann, “Optical propagation in non-Kolmogorov atmospheric turbulence,” Proc. SPIE 2471, 181–196 (1995). [CrossRef]
  7. D. T. Kyrazis, J. Wissler, D. D. B. Keating, A. J. Preble, and K. P. Bishop, “Measurement of optical turbulence in the upper troposphere and lower stratosphere,” Proc. SPIE 2110, 43–55 (1994). [CrossRef]
  8. A. Tunick, “Analysis of free-space laser signal intensity over a 2.33 km optical path,” Proc. SPIE 6708, 670802 (2007). [CrossRef]
  9. G. Wu, H. Guo, S. Yu, and B. Luo, “Spreading and direction of Gaussian–Schell model beam through a non-Kolmogorov turbulence,” Opt. Lett. 35, 715–717 (2010). [CrossRef]
  10. I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, “Free space optical system performance for a Gaussian beam propagating through non-Kolmogorov weak turbulence,” IEEE Trans. Antennas Propag. 57, 1783–1788 (2009). [CrossRef]
  11. A. Zilberman, E. Golbraikh, and N. S. Kopeika, “Some limitations on optical communication reliability through Kolmogorov and non-Kolmogorov turbulence,” Opt. Commun. 283, 1229–1235 (2010). [CrossRef]
  12. C. Rao, W. Jiang, and N. Ling, “Spatial and temporal characterization of phase fluctuations in non-Kolmogorov atmospheric turbulence,” J. Mod. Opt. 47, 1111–1126 (2000). [CrossRef]
  13. I. Tosellia, L. C. Andrews, R. L. Phillips, and V. Ferreroa, “Angle of arrival fluctuations for free space laser beam propagation through non Kolmogorov turbulence,” Proc. SPIE 6551, 65510E(2007). [CrossRef]
  14. D. Boreman and C. Dainty, “Zernike expansions for non-Kolmogorov turbulence,” J. Opt. Soc. Am. A 13, 517–522 (1996). [CrossRef]
  15. E. Shchepakina and O. Korotkova, “Second-order statistics of stochastic electromagnetic beams propagating through non-Kolmogorov turbulence,” Opt. Express 18, 10650–10658 (2010). [CrossRef]
  16. L. Tan, W. Du, J. Ma, S. Yu, and Q. Han, “Log-amplitude variance for a Gaussian-beam wave propagating through non-Kolmogorov turbulence,” Opt. Express 18, 451–462 (2010). [CrossRef]
  17. H. Gerçekcioğlu and Y. Baykal, “Annular beam scintillations in non-Kolmogorov weak turbulence,” Appl. Phys. B, submitted.
  18. I. Tosellia, L. C. Andrews, R. L. Phillips, and V. Ferrero, “Scintillation index of optical plane wave propagating through non-Kolmogorov moderate-strong turbulence,” Proc. SPIE 6747, 67470B (2007). [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. X. Ji, X. Chen, S. Chen, X. Li, and B. Lu, “Influence of atmospheric turbulence on the spatial correlation properties of partially coherent flat-topped beams,” J. Opt. Soc. Am. A 24, 3554–3563 (2007). [CrossRef]
  21. 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,” Proc. SPIE 6215, 62150B (2006). [CrossRef]
  22. Y. Baykal and H. T. Eyyuboğlu, “Scintillation index of flat-topped-Gaussian beams,” Appl. Opt. 45, 3793–3797 (2006). [CrossRef]
  23. Y. Cai, “Scintillation properties of non-circular flat-topped beams,” J. Opt. A 10, 075003 (2008). [CrossRef]
  24. Y. Li, “Light beams with flat-topped profiles,” Opt. Lett. 27, 1007–1009 (2002). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited