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
diffusing slab, is to present a complete set of formulas together with a discussion of the
simplifying assumptions necessary to obtain them. The slab geometry … the diffusion approximation

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
diffusing slab. The model, developed for a homogeneous slab, is based on the diffusion
approximation … the applicability limits of the approximated theory in different physical conditions. …

[PDF][PDF] Analytical approach for predicting effective diffusion coefficients in multidimensional slab geometry

I Saykova, G Cwicklinski, P Castelle - Journal of the University of …, 2009 - journal.uctm.edu
… A good fiitting was obtained by applying the fiirst-term approximation fior the 1-D slab
geometry, as expected (R2 > 0.95). In 3-D case, the considerable decay in starting the Regular …

Diffusion synthetic methods for computational modeling of one-speed slab-geometry transport problems with linearly anisotropic scattering

RS Mansur, FP Santos, H Alves Filho… - Progress in Nuclear …, 2014 - Elsevier
slab geometry with diffusion approximationapproximate boundary conditions are used in
the diffusion equation to account for prescribed incident flux on the outer boundaries of the slab

The Green's function for the radiative transport equation in the slab geometry

M Machida, GY Panasyuk, JC Schotland… - Journal of Physics A …, 2010 - iopscience.iop.org
… with diffusion approximation and … the diffusion approximation is not quite correct inside the
slab, even when the light emitted from the slab is well described by the diffusion approximation

A diffusion-accelerated solution method for the nonlinear characteristic scheme in slab geometry

TA Wareing, WF Walters, JE Morel - Nuclear science and …, 1996 - Taylor & Francis
… A general nonlinear diffusion synthetic acceleration method for solving the NC equations in
slab geometry is … where HD is a discrete approximation to the following diffusion operator: …

Analytical approximate solutions of the time-domain diffusion equation in layered slabs

F Martelli, A Sassaroli, Y Yamada, G Zaccanti - JOSA A, 2002 - opg.optica.org
… • When the scattering properties of the layers are identical, the analytical solutions are
exact within the limits of the diffusion approximation. Comparisons with the results of MC …

Explicit approximations to estimate the perturbative diffusivity in the presence of convectivity and damping. I. Semi-infinite slab approximations

M Van Berkel, HJ Zwart, N Tamura… - Physics of …, 2014 - pubs.aip.org
… new approximations are introduced to estimate the perturbative diffusivity (χ), convectivity (V),
and damping (τ) in cylindrical geometry… The approximations are based on semi-infinite slab

Tissue optics for a slab geometry in the diffusion approximation

MJC Van Gemert, AJ Welch, WM Star… - Lasers in medical …, 1987 - Springer
… This paper solves the radiative transport equation in a slab using the diffusion approximation
in one-dimension. The absorption and scattering coefficients as well as the first moment of …

Lévy kinetics in slab geometry: Scaling of transmission probability

A Davis, A Marshak - Fractal Frontiers, 1997 - books.google.com
… H (2)> 1/2, they introduce an inner time-scale (corresponding to a few forward scatterings)
that is naturally accounted for in the diffusion approximation by defining the “transport" mfp. …