Photon migration through a turbid slab described by a model based on diffusion approximation. I. Theory

D Contini, F Martelli, G Zaccanti - Applied optics, 1997 - opg.optica.org
diffusion approximation of the radiative transfer equation is a model used widely to describe
photon migration in highly diffusing … An analysis of the time-dependent diffusion equation …

Photon migration through a turbid slab described by a model based on diffusion approximation. II. Comparison with Monte Carlo results

F Martelli, D Contini, A Taddeucci, G Zaccanti - Applied optics, 1997 - opg.optica.org
photon migration through a diffusing slab. The model, developed for a homogeneous slab, is
based on the diffusion approximation … limits of the approximated theory in different physical …

Approximate theory of photon migration in a two-layer medium

H Taitelbaum, S Havlin, GH Weiss - Applied optics, 1989 - opg.optica.org
… As in the uniform case it is convenient to analyze photon migration in terms of a random
walk constrained to move on a lattice. Consider a photon reaching the surface, z = 0, at the nth …

Photon migration within the P3 approximation

DA Boas, H Liu, MA O'Leary… - … , Photon Migration …, 1995 - spiedigitallibrary.org
… simplest model for photon migration. The applicability of the diffusion approximation,
however, … theoretical range of validity of the diffusion approximation, review a frequency-dependent …

Photon migration at short times and distances and in cases of strong absorption

DJ Durian, J Rudnick - JOSA A, 1997 - opg.optica.org
… Nevertheless, the diffusion approximation is widely employed, since analytic results are …
photon migration that retains much of the computational simplicity of the diffusion approximation

Accuracy of the diffusion equation to describe photon migration through an infinite medium: numerical and experimental investigation

F Martelli, M Bassani, L Alianelli… - Physics in Medicine …, 2000 - iopscience.iop.org
… for the diffusion approximation can be better clarified. The study of photon migration for an
infinite … To evaluate the validity of the diffusion approximation (DA) we compared the analytical …

Coupled radiative transfer equation and diffusion approximation model for photon migration in turbid medium with low-scattering and non-scattering regions

T Tarvainen, M Vauhkonen… - Physics in Medicine …, 2005 - iopscience.iop.org
… In this paper, a coupled radiative transfer equation and diffusion approximation model is …
assumptions of the diffusion approximation are not valid. The diffusion approximation is used …

Photon migration in turbid media using a cumulant approximation to radiative transfer

M Xu, W Cai, M Lax, RR Alfano - Physical Review E, 2002 - APS
photon migration at early times and reduces at long times to the center-moved diffusion
approximation… We will compare the photon densities computed by the diffusion approximation DA…

Photon migration in layered media

R Nossal, J Kiefer, GH Weiss, R Bonner… - Applied …, 1988 - opg.optica.org
… (photons) migrating within a semi-infinite medium containing a surface layer whose absorbance
differs from that of the underlying layer. Photons … layer distorts photon emission profiles …

Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues

AH Hielscher, RE Alcouffe… - Physics in Medicine & …, 1998 - iopscience.iop.org
… We analyse the limits of the diffusion approximation to the time-independent equation of
radiative transfer for homogeneous and heterogeneous biological media. Analytical calculations …