The transport length in a strongly diffusing medium (noted l*) is the length over which the direction of propagation of the photon is randomized. It is related to the mean free path l by the relation: [1]
with g: the asymmetry coefficient. or averaging of the scattering angle θ over a high number of scattering events.
g can be evaluated with the
Mie theory.
If g=0, l=l*. A single scattering is already isotropic.
If g→1, l*→infinite. A single scattering doesn't deviate the photons. Then the scattering never gets isotropic.
This length is useful for renormalizing a non-isotropic scattering problem into an isotropic one in order to use classical diffusion laws ( Fick law and Brownian motion). The transport length might be measured by transmission experiments and backscattering experiments. [2] [3]
-
Mean free path simple scheme
References
- ^ Ishimaru, A. (1978). Wave Propagation and Scattering in Random Media. New York: Academic Press.
- ^ Mengual, O.; Meunier, G.; Cayré, I.; Puech, K.; Snabre, P. (1999). "TURBISCAN MA 2000: Multiple light scattering measurement for concentrated emulsion and suspension instability analysis". Talanta. 50 (2): 445–456. doi: 10.1016/S0039-9140(99)00129-0. PMID 18967735.
- ^ Snabre, Patrick; Arhaliass, Abdellah (1998). "Anisotropic scattering of light in random media: Incoherent backscattered spotlight". Applied Optics. 37 (18): 4017–26. Bibcode: 1998ApOpt..37.4017S. doi: 10.1364/AO.37.004017. PMID 18273374.
External links
- Illustrated description (movies) of multiple light scattering and application to colloid stability[ permanent dead link]
 | This scattering–related article is a stub. You can help Wikipedia by expanding it. |
The transport length in a strongly diffusing medium (noted l*) is the length over which the direction of propagation of the photon is randomized. It is related to the mean free path l by the relation: [1]
with g: the asymmetry coefficient. or averaging of the scattering angle θ over a high number of scattering events.
g can be evaluated with the
Mie theory.
If g=0, l=l*. A single scattering is already isotropic.
If g→1, l*→infinite. A single scattering doesn't deviate the photons. Then the scattering never gets isotropic.
This length is useful for renormalizing a non-isotropic scattering problem into an isotropic one in order to use classical diffusion laws ( Fick law and Brownian motion). The transport length might be measured by transmission experiments and backscattering experiments. [2] [3]
-
Mean free path simple scheme
References
- ^ Ishimaru, A. (1978). Wave Propagation and Scattering in Random Media. New York: Academic Press.
- ^ Mengual, O.; Meunier, G.; Cayré, I.; Puech, K.; Snabre, P. (1999). "TURBISCAN MA 2000: Multiple light scattering measurement for concentrated emulsion and suspension instability analysis". Talanta. 50 (2): 445–456. doi: 10.1016/S0039-9140(99)00129-0. PMID 18967735.
- ^ Snabre, Patrick; Arhaliass, Abdellah (1998). "Anisotropic scattering of light in random media: Incoherent backscattered spotlight". Applied Optics. 37 (18): 4017–26. Bibcode: 1998ApOpt..37.4017S. doi: 10.1364/AO.37.004017. PMID 18273374.
External links
- Illustrated description (movies) of multiple light scattering and application to colloid stability[ permanent dead link]
|
| This scattering–related article is a stub. You can help Wikipedia by expanding it. |