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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2840–2845

Transport equation for the time correlation function of scattered field in dynamic turbid media

Romain Pierrat  »View Author Affiliations

JOSA A, Vol. 25, Issue 11, pp. 2840-2845 (2008)

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I derive a transport equation for the time correlation function in transmission and reflexion and inside a turbid medium. This equation goes beyond the diffusion approximation that is at the root of the well-established diffusing-wave spectroscopy technique. It takes into account all the transport regimes from ballistic to diffusive and the relaxation in direction at each scattering event. The derivation is based on a generalized form of the Bethe–Salpeter equation coupled to a generalized form of the scattering operator. The method presented can be easily adapted to compute the correlation function in systems with several time scales encountered, for example, in biology and polymer physics. The obtained equation is easily solvable numerically using a Monte Carlo scheme.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(290.4210) Scattering : Multiple scattering
(290.7050) Scattering : Turbid media

ToC Category:

Original Manuscript: July 9, 2008
Revised Manuscript: September 3, 2008
Manuscript Accepted: September 4, 2008
Published: October 24, 2008

Virtual Issues
Vol. 4, Iss. 1 Virtual Journal for Biomedical Optics

Romain Pierrat, "Transport equation for the time correlation function of scattered field in dynamic turbid media," J. Opt. Soc. Am. A 25, 2840-2845 (2008)

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