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Journal ArticleDOI

Determining the optical properties of turbid media by using the adding–doubling method

TLDR
A method is described for finding the optical properties of a slab of turbid material by using total reflection, unscattered transmission, and total transmission measurements and the intrinsic error in the method is < 3% when four quadrature points are used.
Abstract
A method is described for finding the optical properties (scattering, absorption, and scattering anisotropy) of a slab of turbid material by using total reflection, unscattered transmission, and total transmission measurements. This method is applicable to homogeneous turbid slabs with any optical thickness, albedo, or phase function. The slab may have a different index of refraction from its surroundings and may or may not be bounded by glass. The optical properties are obtained by iterating an adding–doubling solution of the radiative transport equation until the calculated values of the reflection and transmission match the measured ones. Exhaustive numerical tests show that the intrinsic error in the method is <3% when four quadrature points are used.

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Journal ArticleDOI

Resolution of Fluorophore Mixtures in Biological Media Using Fluorescence Spectroscopy and Monte Carlo Simulation

TL;DR: It is shown that spectral loadings and concentration profiles from model mixtures provided using PARAFAC and MCR-ALS are severely distorted by reabsorption and scattering phenomena, although both models fit rather well the experimental data in terms of percentage of the explained variance.
Journal ArticleDOI

Technique for handling wave propagation specific effects in biological tissue: Mapping of the photon transport equation to Maxwell’s equations

TL;DR: A novel algorithm for mapping the photon transport equation (PTE) to Maxwell's equations is presented and, owing to its accuracy, wave propagation through biological tissue is modeled using the PTE.
Journal ArticleDOI

Absorption effects in diffusing wave spectroscopy.

TL;DR: An expression for the time-averaged light intensity autocorrelation function that correctly describes the time fluctuations for the scattered light, in the regime where the diffusion approximation accurately describes the light propagation.
Journal ArticleDOI

Graphics-processing-unit-accelerated Monte Carlo simulation of polarized light in complex three-dimensional media

TL;DR: In this paper , the Stokes vector of each simulated photon packet is updated through photon propagation, creating spatially resolved polarization measurements over the detectors or domain surface, which can greatly expand the utility of polarization in biophotonics applications.
Journal ArticleDOI

Articular cartilage optical properties in the near-infrared (NIR) spectral range vary with depth and tissue integrity.

TL;DR: Investigation of the optical properties of articular cartilage as a function of tissue depth and integrity suggests consistent wavelength-dependent variation in optical properties between cartilage depth-wise zones, as well as between healthy and degenerated tissue.
References
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Journal ArticleDOI

A simplex method for function minimization

TL;DR: A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n 41) vertices of a general simplex, followed by the replacement of the vertex with the highest value by another point.
Book

Introduction to Numerical Analysis

TL;DR: This well written book is enlarged by the following topics: B-splines and their computation, elimination methods for large sparse systems of linear equations, Lanczos algorithm for eigenvalue problems, implicit shift techniques for theLR and QR algorithm, implicit differential equations, differential algebraic systems, new methods for stiff differential equations and preconditioning techniques.
Journal ArticleDOI

A review of the optical properties of biological tissues

TL;DR: The known optical properties (absorption, scattering, total attenuation, effective attenuation and/or anisotropy coefficients) of various biological tissues at a variety of wavelengths are reviewed in this article.
Journal ArticleDOI

New contributions to the optics of intensely light-scattering materials.

TL;DR: In this paper, the Gurevic and Judd formulas were derived from the Kubelka-Munk differential equations, and they are exact under the same conditions as in this paper, that is, when the material is perfectly dull and when the light, is perfectly diffused or if it is parallel and hits the specimen under an angle of 60° from normal.
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