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

Martelli, Fabrizio; Contini, Daniele; Taddeucci, A.; Zaccanti, Giovanni

doi:10.1364/ao.36.004600

Cited by 88 publications

(54 citation statements)

References 10 publications

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“…To check the validity of the presented analytical formulae, we have modified a previously developed MC code 42,55,56 to recalculate the same quantities without any approximation and by following a completely independent approach. For each detected trajectory i we have computed the mean value of the depth at which the photon undergoes scattering events, z i , and the maximum value of the penetration depth, z max,i .…”

Section: Methodsmentioning

confidence: 99%

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

Vaessen

Saj̈

Lövblad

et al. 2016

Cortex

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We propose a comprehensive statistical approach describing the penetration depth of light in random media. The presented theory exploits the concept of probability density function f(z|ρ, t) for the maximum depth reached by the photons that are eventually re-emitted from the surface of the medium at distance ρ and time t. Analytical formulas for f, for the mean maximum depth 〈z max 〉 and for the mean average depth z reached by the detected photons at the surface of a diffusive slab are derived within the framework of the diffusion approximation to the radiative transfer equation, both in the time domain and the continuous wave domain. Validation of the theory by means of comparisons with Monte Carlo simulations is also presented. The results are of interest for many research fields such as biomedical optics, advanced microscopy and disordered photonics.

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Section: Methodsmentioning

confidence: 99%

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

Vaessen

Saj̈

Lövblad

et al. 2016

Cortex

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“…The reduced scattering (µ ′ s ) and absorption (µ a ) spectra were constructed by plotting, versus wavelength, the values obtained from fitting an analytical solution of the diffusion approximation of the radiative transport equation for an homogeneous semi-infinite medium, using the extrapolated boundary conditions [37] to the experimental data. The theoretical time-dispersion curve was convolved with the instrument response function and normalized to the area of the experimental curve.…”

Section: Homogeneous Time-resolved Model (Tr-homo)mentioning

confidence: 99%

In-vivo multilaboratory investigation of the optical properties of the human head

Farina¹,

Torricelli²,

Bargigia³

et al. 2015

Biomed. Opt. Express

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Abstract:The in-vivo optical properties of the human head are investigated in the 600-1100 nm range on different subjects using continuous wave and time domain diffuse optical spectroscopy. The work was performed in collaboration with different research groups and the different techniques were applied to the same subject. Data analysis was carried out using homogeneous and layered models and final results were also confirmed by Monte Carlo simulations. The depth sensitivity of each technique was investigated and related to the probed region of the cerebral tissue. This work, based on different validated instruments, is a contribution to fill the existing gap between the present knowledge and the actual in-vivo values of the head optical properties.

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“…The MC simulations have been carried out with a MC code specially designed starting from a basic elementary code [19,24]. The peculiarity of our code is the use of exact scaling relationships (see Sec.…”

Section: Monte Carlo Simulationsmentioning

confidence: 99%

Heuristic model for ballistic photon detection in collimated transmittance measurements

Martelli

Binzoni

2018

Opt. Express

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An heuristic model for ballistic photon detection in continuous-wave measurements of collimated transmittance through a slab is presented. The model is based on the small angle approximation and the diffusion equation and covers all the ranges of optical thicknesses of the slab from the ballistic to the diffusive regime. The performances of the model have been studied by means of comparisons with the results of gold standard Monte Carlo simulations for a wide range of optical thicknesses and two types of scattering functions. For a non-absorbing slab and field of view of the receiver less than 3 • the model shows errors less than 15% for any value of the optical thickness. Even for an albedo value of 0.9, and field of view of the receiver less than 3 • the model shows errors less than 20%. These results have been verified for a large set of scattering functions based on the Henyey-Greenstein model and Mie theory for spherical scatterers. The latter has also been used to simulate the scattering function of Intralipid, a diffusive material widely used as reference standard for tissue simulating phantoms. The proposed model represents an effective improvement compared to the existing literature.

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

Cited by 88 publications

References 10 publications

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

In-vivo multilaboratory investigation of the optical properties of the human head

Heuristic model for ballistic photon detection in collimated transmittance measurements

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