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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 8 — Aug. 1, 2010
  • pp: 1834–1839

Annular beam scintillations in strong turbulence

Hamza Gerçekcioğlu, Yahya Baykal, and Cem Nakiboğlu  »View Author Affiliations

JOSA A, Vol. 27, Issue 8, pp. 1834-1839 (2010)

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A scintillation index formulation for annular beams in strong turbulence is developed that is also valid in moderate and weak turbulence. In our derivation, a modified Rytov solution is employed to obtain the small-scale and large-scale scintillation indices of annular beams by utilizing the amplitude spatial filtering of the atmospheric spectrum. Our solution yields only the on-axis scintillation index for the annular beam and correctly reduces to the existing strong turbulence results for the Gaussian beam—thus plane and spherical wave scintillation indices—and also correctly yields the existing weak turbulence annular beam scintillations. Compared to collimated Gaussian beam, plane, and spherical wave scintillations, collimated annular beams seem to be advantageous in the weak regime but lose this advantage in strongly turbulent atmosphere. It is observed that the contribution of annular beam scintillations comes mainly from the small-scale effects. At a fixed primary beam size, the scintillations of thinner collimated annular beams compared to thicker collimated annular beams are smaller in moderate turbulence but larger in strong turbulence; however, thinner annular beams of finite focal length have a smaller scintillation index than the thicker annular beams in strong turbulence. Decrease in the focal length decreases the annular beam scintillations in strong turbulence. Examining constant area annular beams, smaller primary sized annular structures have larger scintillations in moderate but smaller scintillations in strong turbulence.

© 2010 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: December 11, 2009
Revised Manuscript: June 16, 2010
Manuscript Accepted: June 18, 2010
Published: July 22, 2010

Hamza Gerçekcioğlu, Yahya Baykal, and Cem Nakiboğlu, "Annular beam scintillations in strong turbulence," J. Opt. Soc. Am. A 27, 1834-1839 (2010)

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  1. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961).
  2. A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol.2 (Academic, 1978).
  3. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005). [CrossRef]
  4. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001). [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. 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]
  7. 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]
  8. R. L. Fante, “Comparison of theories for intensity fluctuations in strong turbulence,” Radio Sci. 11, 215–220 (1976). [CrossRef]
  9. 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]
  10. 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]
  11. Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, “Effect of beam types on the scintillations: A review,” (invited), Proc. SPIE 7200, 720002-1 (2009).
  12. Y. Baykal, “Log-amplitude and phase fluctuations of higher-order annular laser beams in a turbulent medium,” J. Opt. Soc. Am. A 22, 672–679 (2005). [CrossRef]
  13. F. S. Vetelino and L. C. Andrews, “Annular Gaussian beams in turbulent media,” Proc. SPIE 5160, 86–97 (2004). [CrossRef]
  14. H. T. Eyyuboğlu and Y. Baykal, “Scintillations of cos-Gaussian and annular beams,” J. Opt. Soc. Am. A 24, 156–162 (2007). [CrossRef]
  15. S. A. Arpali, H. T. Eyyuboğlu, and Y. Baykal, “Scintillation index of higher order cos-Gaussian, cosh-Gaussian and annular beams,” J. Mod. Opt. 55, 227–239 (2008). [CrossRef]

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