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
… a diffusing slab. The model, developed for a homogeneous slab, is based on the diffusion
approximation … by Monte Carlo simulations in order to determine the applicability limits of the …

Beyond the locality approximation in the standard diffusion Monte Carlo method

M Casula - Physical Review B—Condensed Matter and Materials …, 2006 - APS
… in the standard diffusion Monte Carlo method without using the locality approximation. We
… The variational property of the resulting algorithm provides a stable diffusion process, even …

Comparison of diffusion approximation and Monte Carlo based finite element models for simulating thermal responses to laser irradiation in discrete vessels

R Zhang, W Verkruysse, G Aguilar… - Physics in Medicine & …, 2005 - iopscience.iop.org
… Both diffusion approximation (DA) and Monte Carlo (MC) models have been used to
simulate light distribution in multilayered human skin with or without discrete blood vessels. …

Analysis, by the Monte Carlo method, of the validity of the diffusion approximation in a study of dynamic multiple scattering of light in randomly inhomogeneous media

SE Skipetrov, SS Chesnokov - Quantum Electronics, 1998 - iopscience.iop.org
… We shall compare the results obtained by the Monte Carlo method with those deduced from
… of the diffusion approximation. It has been shown that the diffusion approximation describes …

Hybrid Monte Carlo-diffusion method for light propagation in tissue with a low-scattering region

T Hayashi, Y Kashio, E Okada - Applied optics, 2003 - opg.optica.org
Monte Carlo method, whereas the results calculated by means of the diffusion approximation
… In the hybrid method, the time-consuming Monte Carlo calculation is employed only for the …

[PDF][PDF] Introduction to the diffusion Monte Carlo method

I Kosztin, B Faber, K Schulten - American Journal of …, 1996 - thphys.uni-heidelberg.de
… As mentioned above, the Monte Carlo method samples the wave function after each time …
diffusion and birth–death processes, after each (finite) time step, provides an approximation to …

Combining the diffusion approximation and Monte Carlo modeling in analysis of diffuse reflectance spectra from human skin

P Naglič, L Vidovič, M Milanič… - … and Diagnostics X, 2014 - spiedigitallibrary.org
… biological tissue is often treated within the diffusion approximation (DA). The major … of a
more accurate numerical model, employing the Monte Carlo (MC) approach, but avoids the need …

A reciprocal formulation of nonexponential radiative transfer. 2: Monte Carlo estimation and diffusion approximation

E d'Eon - Journal of Computational and Theoretical Transport, 2019 - Taylor & Francis
… other, and the diffusion approximations follow directly from the … Monte Carlo estimators and
deterministic approximations for … diffusion approximations, Green’s functions and Monte Carlo

Collimated light sources in the diffusion approximation

T Spott, LO Svaasand - Applied optics, 2000 - opg.optica.org
… media are difficult to describe within the diffusion approximation, because they do not meet
Monte Carlo simulations. On the basis of these simulations and the diffusion approximation a …

Monte Carlo approach to modeling of boundary conditions for the diffusion equation

NG Chen, J Bai - Physical review letters, 1998 - APS
… The Monte Carlo method stands alone when analytic … Ordinary Monte Carlo models trace
a huge number of photon trajectories … To take advantage of the diffusion approximation, we …