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
… Photon migration through a scattering and absorbing medium is described by the radiative
transfer equation (RTE). For a time-dependent source emitting unpolarized light the RTE …
transfer equation (RTE). For a time-dependent source emitting unpolarized light the RTE …
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 … is modelled with the radiative
transfer equation in sub-domains … The two equations are coupled through their boundary …
transfer equation in sub-domains … The two equations are coupled through their boundary …
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
… the radiative transfer equation is a model used widely to describe photon migration in highly
… An analysis of the time-dependent diffusion equation together with its solutions for the slab …
… An analysis of the time-dependent diffusion equation together with its solutions for the slab …
Photon migration at short times and distances and in cases of strong absorption
DJ Durian, J Rudnick - JOSA A, 1997 - opg.optica.org
… data and since numerical solution of the equations of radiative transfer is difficult. Here
we propose a telegrapher equation description of photon migration that retains much of the …
we propose a telegrapher equation description of photon migration that retains much of the …
Photon migration in turbid media using a cumulant approximation to radiative transfer
… transfer equation and uses the second-order cumulant solution of photon density to the
Boltzmann equation as the … It provides the correct behavior of photon migration at early times and …
Boltzmann equation as the … It provides the correct behavior of photon migration at early times and …
Fast perturbation Monte Carlo method for photon migration in heterogeneous turbid media
A Sassaroli - Optics letters, 2011 - opg.optica.org
… We present a two-step Monte Carlo (MC) method that is used to solve the radiative
transfer equation in heterogeneous turbid media. The method exploits the one-to-one …
transfer equation in heterogeneous turbid media. The method exploits the one-to-one …
An ABC of near infrared photon migration in tissues: the diffusive regime of propagation
F Martelli - Journal of Near Infrared Spectroscopy, 2012 - opg.optica.org
… In this paper, the theories commonly used for the study of photon migration … Photon migration
through biological tissue can be accurately described with the radiative transfer equation …
through biological tissue can be accurately described with the radiative transfer equation …
Time-dependent photon migration using path integrals
LT Perelman, J Wu, Y Wang, I Itzkan, RR Dasari… - Physical Review E, 1995 - APS
… for the photon to travel between two points in the medium. … transfer equation, simulates this
process but does not estimate the probability for a full trajectory. The probability for a photon …
process but does not estimate the probability for a full trajectory. The probability for a photon …
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 …
radiative transfer for homogeneous and heterogeneous biological media. Analytical calculations …
Solution of the time-dependent diffusion equation for a three-layer medium: application to study photon migration through a simplified adult head model
F Martelli, A Sassaroli, S Del Bianco… - Physics in Medicine & …, 2007 - iopscience.iop.org
… A diffusion-based model for photon migration through a three-layer medium is described. …
of a diffusion equation (DE)-based forward model for studying photon migration through a …
of a diffusion equation (DE)-based forward model for studying photon migration through a …
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