publication . Article . Preprint . 2014

Multifractal characteristics of optical turbulence measured through a single beam holographic process

Ewelina Ortyl; Darío G. Pérez; Yohann Morille; Sonia Zielińska; Regis Barille;
Open Access English
  • Published: 01 Jan 2014
  • Publisher: HAL CCSD
  • Country: France
Abstract
We have previously shown that azopolymer thin films exposed to coherent light that has travelled through a turbulent medium produces a surface relief grating containing information about the intensity of the turbulence; for instance, a relation between the refractive index structure constant C2 as a function of the surface parameters was obtained. In this work, we show that these films capture much more information about the turbulence dynamics. Multifractal detrended fluctuation and fractal dimension analysis from images of the surface roughness produced by the light on the azopolymer reveals scaling properties related to those of the optical turbulence.
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: OCIS codes: (0101300) Atmospheric propagation, (0101330) Atmospheric turbulence, (0501950) Diffraction gratings, (0902890) Holographic optical elements, (2804991) Passive remote sensing, (2800280) Remote sensing and sensors, [PHYS]Physics [physics], Physics - Optics, Refractive index, Holography, law.invention, law, Diffraction grating, Multifractal system, Turbulence, Scaling, Optics, business.industry, business, Coherence (physics), Physics, Surface roughness
21 references, page 1 of 2

1. R. G. Buser, “Interferometric determination of the distance dependence of the phase structure function for nearground horizontal propagation at 6328 A˚,” J. Opt. Soc. Am. 61, 488-491 (1971).

2. Y. Jiang, J. Ma, L. Tan, S. Yu, and W. Du, “Measurement of optical intensity fluctuation over an 118 km turbulent path,” Opt. Express 16, 6963-6973 (2008).

3. A. Berdja, “On the DIMM interpretation of non-Kolmogorov turbulence in the atmospheric surface layer,” Mon. Not. R. Astron. Soc. 409, 722-726 (2010). [OpenAIRE]

4. D. G. Pe´rez and L. Zunino, “Generalized wave-front phase for non-Kolmogorov turbulence,” Opt. Lett. 33, 572- 574 (2008).

5. F. Schmitt, D. Schertzer, S. Lovejoy, and Y. Brunet, “Multifractal temperature and fux of temperature variance in fully developed turbulence,” Europhys. Lett. 34, 195-200 (1996). [OpenAIRE]

6. R. R. Prasad and K. R. Sreenivasan, “Quantitative three-dimensional imaging and the structure of passive scalar fields in fully turbulent flows,” J. Fluid Mech. 216, 1-34 (2006).

7. R. Rao, “Statistics of the fractal structure and phase singularity of a plane light wave propagation in atmospheric turbulence,” Appl. Opt. 47, 269-276 (2008).

8. G. Funes, E. Figueroa, D. Gulich, L. Zunino, and D. G. Pe´rez, “Characterizing inertial and convective optical turbulence by detrended fluctuation analysis,” Proc. SPIE 8890, 889016 (2013).

9. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny-Bunde, A. Bunde, S. Havlin, and H. E. Stanley, “Multifractal detrended fluctuation analysis of nonstationary time series,” Physica A 316, 87-114 (2002). [OpenAIRE]

10. G.-F. Gu and W.-X. Zhou, “Detrended fluctuation analysis for fractals and multifractals in higher dimensions,” Phys. Rev. E 74, 061104 (2006).

11. R. Barille´, D. G. Pe´rez, Y. Morille, S. Zielin´ska, and E. Ortyl, “Simple turbulence measurements with azopolymer thin films,” Opt. Lett. 38, 1128-1130 (2013).

12. S. A. Kandjani, R. Barille, S. Dabos-Seignon, J.-M. Nunzi, E. Ortyl, and S. Kucharski, “Multistate polarization addressing using a single beam in an azo polymer film,” Opt. Lett. 30, 1986-1988 (2005). [OpenAIRE]

13. E. Ortyl and S. Kucharski, “Refractive index modulation in polymeric photochromic films,” Cent. Eur. J. Chem. 1, 137-159 (2003). [OpenAIRE]

14. 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).

15. K. J. Falconer, Fractal Geometry: Mathematical Theory and Applications (John Wiley, 1990).

21 references, page 1 of 2
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