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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 2 — Jan. 10, 2008
  • pp: 269–276

Statistics of the fractal structure and phase singularity of a plane light wave propagation in atmospheric turbulence

Ruizhong Rao  »View Author Affiliations


Applied Optics, Vol. 47, Issue 2, pp. 269-276 (2008)
http://dx.doi.org/10.1364/AO.47.000269


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Abstract

Numerical experiments are carried out for a plane wave propagating in the atmospheric turbulence for a weak to strong fluctuation condition, i.e., the Rytov index being in a large range of 2 × 10 3 to 20. Mainly two categories of propagation events are explored for the same range of Rytov index. In one category the propagation distance and also the Fresnel length are kept fixed with the turbulence strength changing. In the other the turbulence strength is kept fixed with the distance changing. The statistical characteristics of the scintillation index, the maximum and minimum of the intensity, the fractal dimension of the intensity image, and the number density of the phase singularity are analyzed. The behaviors of the fractal dimension and the density of the phase singularity present obvious differences for the two categories of propagation. The fractal dimension depends both on the Rytov index and the Fresnel length. In both weak and strong fluctuation conditions the dimension generally increases with the Rytov index, but is at minimum at the onset region. The phase singularity density is coincident with the theoretical results under a weak fluctuation condition, and has a slowly increasing manner with the Rytov index in the strong fluctuation condition. The dependence on the Fresnel size is confident and there is no saturation for the phase singularity.

© 2008 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7060) Atmospheric and oceanic optics : Turbulence

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: July 5, 2007
Revised Manuscript: October 10, 2007
Manuscript Accepted: November 3, 2007
Published: January 9, 2008

Citation
Ruizhong Rao, "Statistics of the fractal structure and phase singularity of a plane light wave propagation in atmospheric turbulence," Appl. Opt. 47, 269-276 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-2-269


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References

  1. V. I. Tatarskii, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961).
  2. V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (Ketterl, 1971).
  3. A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE Press and Oxford Univ. Press, 1997).
  4. J. W. Strohbehn, Laser Beam Propagation in the Atmosphere (Springer-Verlag, 1978).
  5. A. D. Wheelon, Electromagnetic Scintillation I. Geometrical Optics (Cambridge Univ. Press, 2001).
  6. A. D. Wheelon, Electromagnetic Scintillation II. Weak Scattering (Cambridge Univ. Press, 2005).
  7. L. C. Andrews and R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE Press, 1998).
  8. R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence (Springer-Verlag, 1994). [CrossRef]
  9. R. Rao, Light Propagation in the Turbulent Atmosphere (Anhui Science and Technology Press, 2005).
  10. V. I. Tatarskii, A. Ishimaru, and V. U. Zavorotny, Wave Propagation in Random Media (Scintillation) (SPIE Press, 1992).
  11. R. J. Hill and J. H. Churnside, "Observational challenges of strong scintillations of irradiance," J. Opt. Soc. Am. A 5, 445-447 (1988). [CrossRef]
  12. J. H. Churnside, R. J. Hill, G. Conforti, and A. Consortini, "Aperture size and bandwidth requirements for measuring strong scintillation in athe atmosphere," Appl. Opt. 28, 4126-4132 (1989). [CrossRef] [PubMed]
  13. A. Consortini, F. Cochetti, J. H. Churnside, and R. J. Hill, "Inner-scale effect on irradiance variance measured for weak-to-strong atmospheric scintillation," J. Opt. Soc. Am. A 10, 2354-2363 (1993). [CrossRef]
  14. R. Rao, "Optical properties of atmospheric turbulence and their effects on light propagation," Proc. SPIE 5832, 1-11 (2005). [CrossRef]
  15. L. C. Andrews, R. L. Phliips, C. Y. Hopen, and M. A. Al-Habash, "Theory of optical scintillation," J. Opt. Soc. Am. A 16, 1417-1429 (1999). [CrossRef]
  16. F. S. Vetelino, C. Young, L. Andrews, K. Grant, K. Corbett, and B. Clare, "Scintillation vs. experiment," Proc. SPIE 5793, 166-177 (2005). [CrossRef]
  17. S. M. Flatte and J. S. Gerber, "Irradiance-variance behaviour by numerical simulation for plane-wave and spherical-wave optical propagation through strong turbulence," J. Opt. Soc. Am. A 17, 1092-1097 (2000). [CrossRef]
  18. C. Young, A. J. Masino, and F. Thomas, "Phase fluctuations in moderate and strong turbulence," Proc. SPIE 4976, 141-148 (2003). [CrossRef]
  19. D. L. Fried and J. L. Vaughn, "Branch cuts in the phase function," Appl. Opt. 31, 2865-2882 (1992). [CrossRef] [PubMed]
  20. C. A. Perimmerman, T. R. Price, R. A. Humphreys, B. G. Zollars, H. T. Barclay, and J. Herrmann, "Atmospheric-compensation experiments in strong-scintillation conditions," Appl. Opt. 34, 2081-2088 (1995). [CrossRef]
  21. V. V. Voitsekhovich, D. Kouznetsov, and D. K. Moronov, "Density of turbulence-induced phase dislocations," Appl. Opt. 37, 4525-4535 (1998). [CrossRef]
  22. K. Yuan and R. Rao, "Density of Phase branch points for a light wave propagation in atmospheric turbulence," Acta Photon. Sin. (to be published).
  23. W. A. Coles, J. P. Filice, R. G. Frehlich, and M. Yadlowsky, "Simulation of wave propagation in three-dimensional media," Appl. Opt. 34, 2089-2101 (1995). [CrossRef] [PubMed]
  24. R. Frehlich, "Simulation of laser propagation in a turbulent atmosphere," Appl. Opt. 39, 393-397 (2000). [CrossRef]
  25. R. Rao, "Collimated laser beam in a turbulent atmosphere: fractal structure and phase branch points," High Power Laser and Particle Beams 14, 501-504 (2002).
  26. T. Peli, "Multiscale fractal theory and object characterization," J. Opt. Soc. Am. A 7, 1101-1112 (1990). [CrossRef]
  27. J. M. Martin and S. M. Flatte, "Intensity images and statistics from numerical simulation of wave propagation in 3D random media," Appl. Opt. 27, 2111-2126 (1988). [CrossRef] [PubMed]

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