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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 14 — May. 10, 2006
  • pp: 3331–3339

Multifractality of laser beam spatial intensity in a turbulent medium

Régis Barille and Paolo LaPenna  »View Author Affiliations


Applied Optics, Vol. 45, Issue 14, pp. 3331-3339 (2006)
http://dx.doi.org/10.1364/AO.45.003331


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Abstract

We present the results of a laser beam passing through a turbulent medium. First we measure the geometric parameters and the spatial coherence of the beam as a function of wind velocities. A multifractal detrended fluctuation analysis algorithm is applied to determine the multifractal scaling behavior of the intensity patterns. The measurements are fitted with models used in the analysis of river runoff records. We show the surprising result that the multifractality decreases when the spatial coherence of the laser is decreased. Universal scaling properties could be applied to the spatial characterization of a laser propagating in a turbulent medium or random medium.

© 2006 Optical Society of America

OCIS Codes
(010.3920) Atmospheric and oceanic optics : Meteorology
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.7060) Coherence and statistical optics : Turbulence
(290.1310) Scattering : Atmospheric scattering

History
Original Manuscript: March 7, 2005
Revised Manuscript: December 9, 2005
Manuscript Accepted: February 11, 2006

Citation
Régis Barille and Paolo LaPenna, "Multifractality of laser beam spatial intensity in a turbulent medium," Appl. Opt. 45, 3331-3339 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-14-3331


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References

  1. P. J. Gardner, M. C. Roggemann, B. M. Welsh, R. D. Bowersox, and T. E. Luke, "Statistical anisotropy in free turbulence for mixing layers at high Reynolds numbers," Appl. Opt. 35, 4879-4889 (1996). [CrossRef] [PubMed]
  2. H. Okayama and L. Z. Wang, "Measurement of the spatial coherence of light influenced by turbulence," Appl. Opt. 38, 2342-2345 (1999). [CrossRef]
  3. M. S. Belenkii and V. L. Mironov, "Coherence of the field of a laser beam in a turbulent atmosphere," Sov. J. Quantum Electron. 10, 595-597 (1980). [CrossRef]
  4. Z. I. Feizulin and Yu. A. Kravtsov, "Broadening of a laser beam in a turbulent medium," Radio Quantum Electron. 10, 33-35 (1967). [CrossRef]
  5. L. C. Andrews, W. B. Miller, and J. C. Ricklin, "Spatial coherence of a Gaussian-beam wave in weak and strong optical turbulence," J. Opt. Soc. Am. A 11, 1653-1660 (1994). [CrossRef]
  6. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny-Bunde, A. Bunde, S. Havlin, and H. E. Stanley, "Multifractal detrended fluctuations analysis of nonstationary time series," Physica A 316, 87-114 (2002). [CrossRef]
  7. R. F. Voss, "Random fractals self-affinity in noise, music mountains, and clouds," Physica D 38, 362-371 (1989). [CrossRef]
  8. C. K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley, and A. L. Goldberger, "Mosaic organinazation of DNA nucleotides," Phys. Rev. E. 49, 1685-1689 (1994). [CrossRef]
  9. P. Ch. Ivanov, L. A. Nunes Amaral, S. Havlin, M. G. Rosenblum, H. E. Stanley, and Z. R. Struzik, "From 1/f noise to multifractal cascades in heartbeat dynamics," Chaos 11, 641-652 (2001). [CrossRef]
  10. E. Koscielny-Bunde, A. Bunde, S. Havlin, H. E. Roman, Y. Goldreich, and H.-J. Schellnhuber, "Indication of a universal persistence law governing atmospheric variability," Phys. Rev. Lett. 81, 729-732 (1998). [CrossRef]
  11. R. B. Govindan, D. Vyushin, A. Bunde, S. Brenner, S. Havlin, and H. J. Schellnhuber, "Global climate models violate scaling of the observed atmospheric variability," Phys. Rev. Lett. 89, 0285011-0285014 (2002). [CrossRef]
  12. Y. Liu, P. Gopikrishnan, P. Cizeau, M. Meyer, C.-K. Peng, and H. E. Stanley, "Statistical properties of the volatility of price fluctuations," Phys. Rev. E 60, 1390-1400 (1999). [CrossRef]
  13. E. Koscielny-Bunde, J. W. Kantelhardt, P. Braun, A. Bunde, and S. Havlin, "Long-term persistence and multifractality of river runoff records: detrended fluctuation studies," arXiv.org e-Print archive, physics/0305078, 19 May 2003, http://pbparxiv.org/abs/physics/0305078.
  14. F. Schmitt, D. Schertzer, S. Lovejoy, and Y. Brunet, "Empirical study of multifractal phase transitions in atmospheric turbulence," Nonlinear Processes Geophys. 1, 95-100 (1994). [CrossRef]
  15. S. Lovejoy, D. Schertzer, and J. D. Stanway, "Direct evidence of multifractal atmospheric cascades from planetary scales down to 1 km," Phys. Rev. Lett. 86, 5200-5204 (2001). [CrossRef] [PubMed]
  16. C. Innocenti and A. Consortini, "Estimate of characteristic scale of atmospheric turbulence by thin beams: comparison between the von Karman and Hill-Andrez models," J. Mod. Opt. 51, 333-342 (2003). [CrossRef]
  17. A. Consortini, Y. Y. Sun, C. Innocenti, and Z. P. Li, "Measuring inner scale of atmospheric turbulence by angle of arrival and scintillation," Opt. Commun. 216, 19-23 (2003). [CrossRef]
  18. W. Pratt, Digital Image Processing (Wiley, 1991), pp. 630-634.
  19. L. A. N. Amaral, P. Ch. Ivanov, N. Aoyagi, I. Hidaka, S. Tomono, A. L. Goldberger, H. E. Stanley, and Y. Yamamoto, "Behavioral-independent features of complex heartbeat dynamics," Phys. Rev. Lett. 86, 6026-6029 (2001). [CrossRef]
  20. N. Scafetta, L. Griffin, and B. J. West, "Hölder exponent spectra for human gait," Physica A 328, 561-583 (2003). [CrossRef]

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