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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. 10 — Oct. 1, 2010
  • pp: 2180–2187

Beam scintillations for ground-to-space propagation. Part 2: Gaussian beam scintillation

Mikhail Charnotskii  »View Author Affiliations

JOSA A, Vol. 27, Issue 10, pp. 2180-2187 (2010)

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On the basis of the analytic techniques presented in the first of these two companion papers [ J. Opt. Soc. Am. A 27, 2169 (2010) ] we present the complete asymptotic analysis of the axial beam scintillation index for coherent Gaussian beams on the ground-to-space propagation paths. The ratio of turbulence layer thickness to overall propagation path length contributes an additional small parameter to the analysis. We show that it is possible to use three dimensionless parameters to describe the problem and that the general arrangement of the asymptotic regions established in our earlier work [ Waves Random Media 4, 243 (1994) ]) is preserved. We find that on a slant propagation path, collimated beams can experience the unusual double-scattering-dominated scintillation found originally for focused beams.

© 2010 Optical Society of America

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7060) Atmospheric and oceanic optics : Turbulence
(290.5930) Scattering : Scintillation
(290.2558) Scattering : Forward scattering

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: May 4, 2010
Manuscript Accepted: August 11, 2010
Published: September 16, 2010

Mikhail Charnotskii, "Beam scintillations for ground-to-space propagation. Part 2: Gaussian beam scintillation," J. Opt. Soc. Am. A 27, 2180-2187 (2010)

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  1. M. I. Charnotskii, “Beam scintillations for ground-to-space propagation. Part 1: path integrals and analytic techniques,” J. Opt. Soc. Am. A 27, 2169–2179 (2010). [CrossRef]
  2. M. I. Charnotskii, “Asymptotic analysis of finite beam scintillations in a turbulent medium,” Waves Random Media 4, 243–273 (1994). [CrossRef]
  3. M. I. Charnotskii, “Beam scintillations for ground-to-space propagation,” Proc. SPIE 7463, 746304 (2009). [CrossRef]
  4. M. I. Charnotskii, “Weak and strong off-axis beam scintillations and beam wander for propagation in turbulence,” Proc. SPIE 7685, 768501 (2010).
  5. G. J. Baker, “Gaussian beam weak scintillation: Low-order turbulence effects and applicability of the Rytov method,” J. Opt. Soc. Am. A 23, 395–417 (2006). [CrossRef]
  6. L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, “Strehl ratio and scintillation theory for uplink Gaussian-beam waves: beam wander effects,” Opt. Eng. 45, 076001 (2006). [CrossRef]
  7. V. U. Zavorotny, V. I. Klyatskin, and V. I. Tatarskii, “Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media,” Sov. Phys. JETP 46, 252–260 (1977).
  8. 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]
  9. 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]
  10. J. Recolons, L. C. Andrews, and R. L. Phillips, “Analysis of beam wander effects for a horizontal-path propagating Gaussian-beam wave: Focused beam case,” Opt. Eng. 46, 086002-1–086002-11 (2007). [CrossRef]

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