Solution of the time-dependent diffusion equation for layered diffusive media by the eigenfunction method
An exact solution of the time-dependent diffusion equation for the case of a two-and a three-
layered finite diffusive medium is proposed. The method is based on the decomposition of …
layered finite diffusive medium is proposed. The method is based on the decomposition of …
Model of anomalous diffusion-absorption process in a system consisting of two different media separated by a thin membrane
T Kosztołowicz - Physical Review E, 2019 - APS
We present the model of a diffusion-absorption process in a system which consists of two
media separated by a thin partially permeable membrane. The kind of diffusion as well as …
media separated by a thin partially permeable membrane. The kind of diffusion as well as …
Optical diffusion in layered media
M Keijzer, WM Star, PRM Storchi - Applied optics, 1988 - opg.optica.org
In highly scattering media, light energy fluence rate distributions can be described by
diffusion theory. Boundary conditions, appropriate to the diffusion approximation, are …
diffusion theory. Boundary conditions, appropriate to the diffusion approximation, are …
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
Time-domain analytical solutions of the diffusion equation for photon migration through
highly scattering two-and three-layered slabs have been obtained. The effect of the …
highly scattering two-and three-layered slabs have been obtained. The effect of the …
Perturbation model for light propagation through diffusive layered media
F Martelli, S Del Bianco, G Zaccanti - Physics in Medicine & …, 2005 - iopscience.iop.org
A fast and novel perturbation approach is proposed to account for the effects of absorbing
inhomogeneities on light propagation through layered media. The calculation has been …
inhomogeneities on light propagation through layered media. The calculation has been …
Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. I. Theory
A Sassaroli, F Martelli, S Fantini - JOSA A, 2006 - opg.optica.org
We approach the perturbative solution to the diffusion equation for the case of absorbing
inclusions embedded in a heterogeneous scattering medium by using general properties of …
inclusions embedded in a heterogeneous scattering medium by using general properties of …
Monte Carlo approach to modeling of boundary conditions for the diffusion equation
NG Chen, J Bai - Physical review letters, 1998 - APS
A Monte Carlo scheme is proposed to obtain boundary conditions for the photon-diffusion
equation. For a turbid medium with interfaces to nonscattering media, we introduce an …
equation. For a turbid medium with interfaces to nonscattering media, we introduce an …
Statistical theory of radiative transfer in layered media
GI Babkin, VI Klyatskin - Wave Motion, 1982 - Elsevier
An equation for the probability density of the wave intensity which takes into account
absorption, is obtained with a help of the invariant imbedding method. The limiting case …
absorption, is obtained with a help of the invariant imbedding method. The limiting case …
[HTML][HTML] A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers
Diffusion in a composite slab consisting of a large number of layers provides an ideal
prototype problem for developing and analysing two-scale modelling approaches for …
prototype problem for developing and analysing two-scale modelling approaches for …
Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
A Liemert, D Reitzle, A Kienle - Scientific reports, 2017 - nature.com
Accurate and efficient solutions of the three dimensional radiative transport equation were
derived in all domains for the case of layered scattering media. Index mismatched boundary …
derived in all domains for the case of layered scattering media. Index mismatched boundary …
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