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Multiple light scattering from disordered media. The effect of brownian motion of scatterers

Abstract

We have measured the time autocorrelation function of the light intensity multiply scattered from turbid aqueous suspensions of submicron size polystyrene spheres in directions near backscattering. It is found strongly non-exponential at short times revealing the very fast decay of coherence in extended scattering loops due to the thermal motion of the many spheres involved; the longest living decay time is found remarkably close to the single particle backscattering relaxation time even under conditions of interparticle interactions. These features are only weakly affected by the particular interference effect between time-reversed pairs of loops giving rise to the coherent backscattering enhancement. A simple argument is presented which accounts for these observations.

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References

  1. 1.

    Kuga, Y., Ishimaru, A.: J. Opt. Soc. Am. A8, 831 (1984)

    Google Scholar 

  2. 2.

    Van Albada, M.P., Lagendijk, A.: Phys. Rev. Lett.55, 2692, (1985)

    Google Scholar 

  3. 3.

    Wolf, P.E., Maret, G.: Phys. Rev. Lett.55, 2696 (1985)

    Google Scholar 

  4. 4a.

    Kmelnitskii, D.E.: Physica126B+C, 235 (1984)

    Google Scholar 

  5. 4b.

    Bergmann, G.: Phys. Rev. B28, 2914 (1983)

    Google Scholar 

  6. 5.

    Akkermans, E., Maynard, R.: J. Phys. (Paris) Lett.46, L1045 (1985)

    Google Scholar 

  7. 6.

    Akkermans, E., Wolf, P.E., Maynard, R.: Phys. Rev. Lett.56, 1471 (1986)

    Google Scholar 

  8. 7.

    Berne, B.J., Pecora, R.: Dynamic light scattering. New York: John Wiley 1976

    Google Scholar 

  9. 8.

    The relative difference ofq 2 between Θ=165° and Θ=180° is less than 2%

  10. 9.

    Errors in each point were estimated using the procedure given by Jakeman, E., Pike, E.R., Swain, S.: J. Phys. A Gen. Phys.4, 517 (1971)

    Google Scholar 

  11. 10.

    The comparison between the normalized curves (b) and (c) is significant because the scattered intensity is nearly fully depolarized

  12. 11.

    See e.g. Ishimaru, A.: Wave propagation and scattering in random media. Vol. 1. New York: Academic Press, 1978

    Google Scholar 

  13. 12.

    Pusey, P.N.: J. Phys. A: Math. Gen.8, 1433 (1975)

    Google Scholar 

  14. 13.

    Ackerson, B.J.: J. Phys. Chem.69, 684 (1978)

    Google Scholar 

  15. 14.

    See e.g. Hess, W., Klein, R.: Adv. Phys.32, 173 (1983)

    Google Scholar 

  16. 15.

    We did not systematically use these dialysed samples since they tend to precipitate after some time

  17. 16.

    Wertheim, M.S.: Phys. Rev. Lett.10, 321 (1965)

    Google Scholar 

  18. 17.

    Felderhoff, B.: J. Phys. A11, 929 (1978)

    Google Scholar 

  19. 18.

    Hanna, S., Hess, W., Klein, R.: Physica111 A, 181 (1982)

    Google Scholar 

  20. 19.

    At small φ values the correlation function had to be corrected for the contribution of the beamsplitter (Ref. 3) which was measured separately

  21. 20.

    See Ref. 6: the expression given here is slightly different from Eq. (6) of Ref. 6 and corresponds to a random walk starting at a distancel = from the interface and terminating at the interface. This seems appropriate to the case considered here wherel =≈20 μm≫l≈3 μm

  22. 21.

    Altschuler, B.L., Khmelnitskii, D.E.: Pis'ma Zh. Eksp. Teor. Fiz.42, 291 (1985) (JETP Lett.42, 359 (1985))

    Google Scholar 

  23. 22.

    Without analyser, the detected intensity variance is about two times smaller than in the VV or VH configurations, showing that the two polarizations are nearly uncorrelated

  24. 23.

    Kaveh, H., Rosenbluh, M., Edrei, I., Freund, I.: Phys. Rev. Lett.57, 2049 (1986)

    Google Scholar 

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Dedicated to Prof. Klaus Dransfeld on the occasion of his 60th birthday

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Maret, G., Wolf, P.E. Multiple light scattering from disordered media. The effect of brownian motion of scatterers. Z. Physik B - Condensed Matter 65, 409–413 (1987). https://doi.org/10.1007/BF01303762

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Keywords

  • Coherence
  • Autocorrelation
  • Brownian Motion
  • Autocorrelation Function
  • Aqueous Suspension