TY - JOUR
T1 - Generalized two stream theory for photon migration
AU - Godoy, Salvador
AU - García-Colín, L. S.
AU - Olivares-Robles, M. A.
PY - 1998/12/15
Y1 - 1998/12/15
N2 - Recent work has indicated that a telegrapher's type equation may accurately describe the diffusion of photons in highly turbid media, specially during the ballistic regime of the process. On the other hand, calculations that have been made using the persistent random walk model (PRW) appear to contradict this result since the telegrapher's equation, for the case of very simple lattice geometries does not exist using PRW in 2 and 3 dimensions. In the present work we show how the continuous diffusion equations in 2D and 3D of PRW, in the weak coupling limit, provide an alternative theory for mesoscopic photon diffusion, showing that this problem can be studied using either the traditional telegrapher's equation or by the new approach provided by the continuum and discrete versions of PRW.
AB - Recent work has indicated that a telegrapher's type equation may accurately describe the diffusion of photons in highly turbid media, specially during the ballistic regime of the process. On the other hand, calculations that have been made using the persistent random walk model (PRW) appear to contradict this result since the telegrapher's equation, for the case of very simple lattice geometries does not exist using PRW in 2 and 3 dimensions. In the present work we show how the continuous diffusion equations in 2D and 3D of PRW, in the weak coupling limit, provide an alternative theory for mesoscopic photon diffusion, showing that this problem can be studied using either the traditional telegrapher's equation or by the new approach provided by the continuum and discrete versions of PRW.
UR - http://www.scopus.com/inward/record.url?scp=0032294915&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(98)00329-X
DO - 10.1016/S0378-4371(98)00329-X
M3 - Artículo
SN - 0378-4371
VL - 261
SP - 435
EP - 450
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3-4
ER -