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Study of the time correlation function of scattered light in bounded strongly inhomogeneous media

Optics and Spectroscopy volume 89, pages 945–954 (2000)Cite this article

Abstract

The time correlation function of the multiply scattered light by a medium comprised of finite-size scatterers is studied theoretically and experimentally. A solution of the Bethe-Salpeter equation for the time correlation function is sought in the P 2-approximation in the form of a series of terms of the Legendre polynomials. With allowance for the boundedness of the medium, the problem is reduced to a generalized Milne equation, which is solved by the Wiener-Hopf method. The time dependence of the correlation function is studied experimentally in a concentrated latex suspension for particles of different sizes. The results of numerical calculations are in qualitative agreement with the measured dependence of the time correlation function on the scatterer size.

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Authors and Affiliations

  1. St. Petersburg Trade Economic Institute, St. Petersburg, 194021, Russia

    V. L. Kuzmin

  2. Department of Physics, St. Petersburg State University, Peterhof, St. Petersburg, 198904, Russia

    V. P. Romanov, E. V. Aksenova & T. L. Runova

Authors
  1. V. L. Kuzmin
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  2. V. P. Romanov
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  3. E. V. Aksenova
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  4. T. L. Runova
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Additional information

__________

Translated from Optika i Spektroskopiya, Vol. 89, No. 6, 2000, pp. 1022–1031.

Original Russian Text Copyright © 2000 by Kuzmin, Romanov, Aksenova, Runova.

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Kuzmin, V.L., Romanov, V.P., Aksenova, E.V. et al. Study of the time correlation function of scattered light in bounded strongly inhomogeneous media. Opt. Spectrosc. 89, 945–954 (2000). https://doi.org/10.1134/1.1335048

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  • DOI: https://doi.org/10.1134/1.1335048

Keywords

  • Multiple Scattering
  • Legendre Polynomial
  • Inhomogeneous Medium
  • Diffusion Approximation
  • Brownian Particle