Photon migration through a turbid slab described by a model based on diffusion approximation I Theory

Contini, Daniele; Martelli, Fabrizio; Zaccanti, Giovanni

doi:10.1364/ao.36.004587

Cited by 438 publications

(400 citation statements)

References 18 publications

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“…It is worth noting that f(z|ρ, t) depends on µ′ s and that this dependence will always be present in all subsequently derived formulas. Instead, thanks to the general properties of the RTE 41,42 , for a homogeneous medium the dependence on μ a vanishes.…”

Section: Theorymentioning

confidence: 99%

“…The DE provides a wide set of approximate analytical solutions of the RTE for various geometries 41,42 . We consider in this section the analytical solutions of the DE for an infinite slab and for this geometry we calculate…”

Section: Theorymentioning

confidence: 99%

“…If we consider the analytical TD solution of the DE for an infinite homogeneous slab 41,42 , R DE (s, ρ, t), the dependence on ρ is only the multiplicative factor…”

Section: Theorymentioning

confidence: 99%

“…Then, the analytical expression of f(z|t) can be obtained by using the solution of the DE for the infinite slab presented in refs 41,42 and by using Eq. (2) we have that f DE (z|t) is 41,42 , z e = 2AD extrapolated distance obtained in accordance to the extrapolated boundary condition (A coefficient for the Fresnel reflections, see refs 41,42), and ′ = z D 2 e extrapolated distance in absence of Fresnel reflections. The above formula is indifferently valid when Fresnel reflections occur at the external boundary (n rel ≠ 1) or in absence of reflections (n rel = 1).…”

Section: De Dementioning

confidence: 99%

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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: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

“…If we consider the analytical TD solution of the DE for an infinite homogeneous slab 41,42 , R DE (s, ρ, t), the dependence on ρ is only the multiplicative factor…”

Section: Theorymentioning

confidence: 99%

Section: De Dementioning

confidence: 99%

See 2 more Smart Citations

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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“…brain and muscle), we employed only a subgroup of the entire phantoms set: labels 2, 3, 4, and 5 for the absorption coefficient (nominal values 0.07, 014, 0.21, and 0.28 cm 1 ) and labels A, B, and C for the reduced scattering coefficient (nominal values 5, 10, and 15 cm 1 ). A simultaneous estimate of reduced scattering and absorption coefficients for each source-detector couple was achieved by best fitting of DTOFs with a standard model of the photon diffusion theory [34]. Fitting parameters have been chosen in order to optimize the accuracy of retrieved optical parameters [35].…”

Section: Medphot Protocolmentioning

confidence: 99%

Multi-channel medical device for time domain functional near infrared spectroscopy based on wavelength space multiplexing

Re¹,

Contini²,

Turola³

et al. 2013

Biomed. Opt. Express

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Abstract:We have designed a compact dual wavelength (687 nm, 826 nm) multi-channel (16 sources, 8 detectors) medical device for muscle and brain imaging based on time domain functional near infrared spectroscopy. The system employs the wavelength space multiplexing approach to reduce wavelength cross-talk and increase signal-to-noise ratio. System performances have been tested on homogeneous and heterogeneous tissue phantoms following specifically designed protocols for photon migration instruments. Preliminary in vivo measurements have been performed to validate the instrument capability to monitor hemodynamic parameters changes in the arm muscle during arterial occlusion and in the adult head during a motor task experiment. ©2013 Optical Society of America

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A method for three-dimensional time-resolved optical tomography

Arridge

Hebden

Schweiger

et al. 2000

Int. J. Imaging Syst. Technol.

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We present an overview of time‐resolved optical tomography together with the hardware and software methods that we have developed for a clinical instrument that implements this modality. The hardware is based on a multichannel photon‐counting technique that records the histograms of photons time‐of‐flight through highly scattering and attenuating media. The software is based on a finite element model that is iteratively updated in order to minimize the difference between measured and modeled data. We have presented a first experimental reconstruction of a three‐dimensional (3D) distribution of variable absorption and scattering coefficient, together with an ideal simulation of the same case. © 2000 John Wiley & Sons, Inc. Int J Imaging Syst Technol, 11, 2–11, 2000

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Photon migration through a turbid slab described by a model based on diffusion approximation I Theory

Cited by 438 publications

References 18 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

Multi-channel medical device for time domain functional near infrared spectroscopy based on wavelength space multiplexing

A method for three-dimensional time-resolved optical tomography

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