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.read more
Citations
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Journal ArticleDOI
Numerical Study of Turbid Slab Optical Properties Reconstruction from Multiple Scattering Signals Using Time-Based Markov Chain Model
TL;DR: In this paper, a time-based Markov chain method was introduced to represent the likelihood for a photon to transit in the turbid media, which can reconstruct the optical properties of a turbid slab with satisfactory accuracy and lower computational costs.
Proceedings ArticleDOI
Comparative study of optical properties estimation on liquid optical phantoms using spatially-resolved diffuse reflectance spectroscopy and double integrating spheres methods
TL;DR: This validation on optical bench will allow to later estimate the OP from in-vivo DR spectra acquired on skin samples, to assist the surgeon in non-invasively diagnosing the health status of a tissue around a skin carcinoma.
Journal ArticleDOI
Efficiency scale for scattering luminescent particles linked to fundamental and measurable spectroscopic properties.
TL;DR: In this article , the luminophore or bead brightness (B) can be determined that equals the product of the absorption cross section at the excitation wavelength (σa(λex)) and the photoluminescence quantum yield (Φpl).
Proceedings ArticleDOI
Determination of tissue optical properties with white light reflectance and an empirical/spectral light transport model
TL;DR: In this article, an optical fiber probe was developed for endoscopic determination of tissue optical properties, and reduced scattering and absorption coefficients were determined using an empirical/spectral light transport model.
References
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Journal ArticleDOI
A simplex method for function minimization
John A. Nelder,R. Mead +1 more
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
Josef Stoer,Roland Bulirsch +1 more
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.