Approximate time-dependent equation of radiative transfer for strongly forward-scattering media

Ilya V. Yaroslavsky; Anna N. Yaroslavsky; Hans-Joachim Schwarzmaier M.D.

doi:10.1117/12.301067

1 January 1998 Approximate time-dependent equation of radiative transfer for strongly forward-scattering media

Ilya V. Yaroslavsky, Anna N. Yaroslavsky, Hans-Joachim Schwarzmaier M.D.

Proceedings Volume 3194, Photon Propagation in Tissues III; (1998) https://doi.org/10.1117/12.301067
Event: BiOS Europe '97, 1997, San Remo, Italy

Abstract

The development of time-resolved optical diagnostic techniques for biomedical applications requires an accurate description of the time-dependent photon propagation in tissues. In many applications the diffusion approximation is used for this purpose. However, in case of a highly anisotropic scattering and in the vicinity of light sources the diffusion equation becomes inadequate. To overcome this limitation, we introduce another approximation of the time- dependent radiative transfer equation. The approximation is based on the assumption that the scattering phase function of the medium is strongly forward-peaked, which has been established for a variety of tissues. We show that in this case, the integro-differential time-dependent transfer equation can be reduced to a partial differential equation. Furthermore, we demonstrate that this approximate equation is valid at much shorter distances from the source than the diffusion equation. At the same time, this approach is amenable for a combination with an inverse technique in order to determine the optical properties of the medium from a time- or frequency-resolved experiment.

Citation Download Citation

Ilya V. Yaroslavsky, Anna N. Yaroslavsky, and Hans-Joachim Schwarzmaier M.D. "Approximate time-dependent equation of radiative transfer for strongly forward-scattering media", Proc. SPIE 3194, Photon Propagation in Tissues III, (1 January 1998); https://doi.org/10.1117/12.301067

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