ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Zimnyakov D. А., Tuchin V. V., Peretochkin I. S. Scale properties of random optical fields: fundamentals and applications. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 4, pp. 94-104. DOI: 10.18500/0869-6632-1998-6-4-94-104

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(En):
PDF icon 1998no4p094.pdf
(downloads: 32)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
535.24; 535.6
DOI: 
10.18500/0869-6632-1998-6-4-94-104

Scale properties of random optical fields: fundamentals and applications

Autors: 
Zimnyakov Dmitry Александрович, Yuri Gagarin State Technical University of Saratov
Tuchin Valerij Viktorovich, Saratov State University
Peretochkin Igor Sergeevich, Saratov State University
Abstract: 

Scaling analysis of speckle intensity fluctuations induced by coherent light scattering by dynamic inhomogeneous media is carried out for different types of scuttering systems. Relations between box dimensions of the intensity time series and corresponding dimensions describing structure от dynamics of the scattering object have been obtained for single scattering systems such as pre-fractal phase screens and ensembles of Brownian particles as well as for multiple scattering objcets. Some applications for morphological analysis of the opticaily inhomogeneous tissues are discussed.

Key words: 
-
Acknowledgments: 
The research described in this publication was made possible in part by Award N RB1-230 of the US Civilian Research & Development Foundation for the Independent States of the Former Soviet Union (CRDF) and by Award N 96-15-86389 («Leading scientific schools of Russia») of the RFBR.
Reference: 
  1. Cummins HZ, Pike ER, editors. Photon Correlation and Light Beating Spectroscopy. N.Y.: Springer; 1974. 584 p. DOI: 10.1007/978-1-4615-8906-8.
  2. Zimnyakov DA, Tuchin VV, Mishin AA. Spatial speckle correlometry in applications to tissue structure monitoring. Appl. Opt. 1997;36(2):5594-5607. DOI: 10.1364/ao.36.005594.
  3. Boas DA. Diffuse photon probes оf structural and dynamical properties оf turbid media: theory and biomedical applications. PhD Thesis. Philadelphia: University оf Pennsylvania; 1996. 298 p.
  4. Feder J. Fractals. N.Y.: Springer; 1988. 284 p. DOI: 10.1007/978-1-4899-2124-6.
  5. Mandelbrot BB. Self-affine fractal sets. In: Pietronero L, Tozaiti E, editors. Fractals in Physics. Amsterdam: North-Holland; 1986. P. 3-15.
  6. Sayles RS, Thomas TR. Surface topography as a nonstationary random process. Nature. 1978;271:431-434. DOI: 10.1038/271431a0.
  7. Avnir D, Biham O, Lidar (Hamburger) D, Malcai О. On the abundance оf fractals. In: Novak MM, Dewey TG, editors. Fractal Frontiers. Singapore: World Scientific; 1987. P. 199-234.
  8. Berry M. Diffractals. J. Phys. A.: Math. Gen.  1979;12(6):781-797. DOI: 10.1088/0305-4470/12/6/008.
  9. Leadbetter MR, Lindgren G, Rootzen H. Extremes and Related Properties оf Random Sequences and Processes. N.Y.: Springer; 1983. 336 p. DOI: 10.1007/978-1-4612-5449-2.
  10. Mandelbrot BB, Van Ness JW. Fractional Brownian motions, fractional noises and applications. SIAM Rev. 1968;10(4):422-437. DOI: 10.1137/1010093.
  11. Rhytov SM, Kravtsov UA, Tatarsky VI. Introduction to Statistical Radiophysics. Vol. 2. Random Fields. Moscow: Nauka; 1978. 463 p. (in Russian).
  12. Zimnyakov D.A. Randomization of the fluctuation component of intensity in the diffraction of focused beams by moving phase screens. Optics and Spectroscopy. 1996;80(6):889-898.
  13. Zimnyakov DA, Tuchin VV. Fractality оf speckle intensity fluctuations. Appl. Opt. 1996;35(22):4325-4333. DOI: 10.1364/AO.35.004325.
  14. Zimnyakov DA. Evolution of the fractal dimension of speckles in the near field of diffraction. Optics and Spectroscopy. 1997;83(5):734-739.
  15. Church EL. Fractal surface finish. Appl. Opt. 1988;27(8):1518-1526. DOI: 10.1364/ao.27.001518.
  16. MacKintosh FC, John S. Diffusing-wave spectroscopy and multiple scattering of light in correlated random media. Phys. Rev. В. 1989;40(4):2383-2406. DOI: 10.1103/physrevb.40.2383.
  17. Ishimary А. Wave Propagation and Scattering in Random Media. N.Y.: Academic Publishers; 1978. 574 p.
  18. Zimnyakov DA, Tuchin VV. Pre-fractal properties оf random optical fields. In: Proceedings of XXV School оn Coherence Optics and Holography. Yaroslavl:  Yaroslavl Pedagogical Univ. Publishers; 1997. P. 61.
  19. Zimnyakov DA, Tuchin VV, Utts S.R. Study of statistical properties of partially developed speckle fields as applied to the diagnostics of structural changes in human skin. Optics and Spectroscopy. 1994;76(5):747-753.
  20. Tuchin VV, Maksimova IL, Zimnyakov DA, Коn IL, Mavlutov AKh, Mishin AA. Light propagation in tissues with controlled optical properties. J. Biomed. Opt. 1997;2(4):401-417. DOI: 10.1117/12.281502.
  21. Zimnyakov DA, Tuchin VV, Utz SR, Mishin AA. Speckle-imaging methods using focused laser beams in applications to tissues mapping. In: Proc. of SPIE. Physiology and Function from Multidimensional Images. 26 February- 2 March 1995, San Diego, CA. San Diego; 1995. P. 411-420. DOI: 10.1117/12.209718.
Received: 
18.05.1998
Accepted: 
03.08.1998
Published: 
10.12.1998
  • 223 reads