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Journal ArticleDOI

Optical Properties of Powders. Part I. Optical Absorption Coefficients and the Absolute Value of the Diffuse Reflectance. Part II. Properties of Luminescent Powders

N. T. Melamed
- 01 Mar 1963 - 
- Vol. 34, Iss: 3, pp 560-570
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TLDR
In this paper, the diffuse reflectance R of a powder is derived in general form in terms of the parameters of the individual particle, taking into account both internal and external scattering, and the relationship is compared with measurements on materials of different refractive indices.
Abstract
The optical properties of powders are determined for the case of particles, large compared with the wave‐length of light. The solution for the diffusion of light in a quasi‐infinitely thick powder is applied to relate certain measurements obtained on powders with the corresponding properties of the bulk material.In Part I, the diffuse reflectance R of a powder is first derived in general form in terms of the parameters of the individual particle, taking into account both internal and external scattering. Parameters are then obtained for a model for randomly shaped particles, and used to relate the diffuse reflectance to the optical absorption coefficient, the index of refraction, and the particle diameter. The relationship is compared with measurements on materials of different refractive indices.Part II deals with applications to luminescent powders, the calculation of the characteristics of emission in the presence of optical absorption, and the calculation of cascade transfer yields.

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Book

Theory of Reflectance and Emittance Spectroscopy

TL;DR: In this article, the authors present a review of vector calculus and functions of a complex variable and Fraunhoffer diffraction by a circular hole, and a miscellany of bidirectional reflectances and related quantities.
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Bidirectional reflectance spectroscopy: 1. Theory

TL;DR: In this article, an approximate analytic solution for the radiative transfer equation describing particulate surface light scattering, taking into account multiple scattering and mutual shadowing, was derived for the interpretation of reflectance spectroscopy of laboratory surfaces and the photometry of solar system objects.
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A Model of Spectral Albedo of Particulate Surfaces: Implications for Optical Properties of the Moon

TL;DR: In this paper, a simple one-dimensional geometrical-optics model for spectral albedo of powdered surfaces, in particular of lunar regolith, has been presented.
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LIBERTY—Modeling the Effects of Leaf Biochemical Concentration on Reflectance Spectra

TL;DR: The conifer leaf model LIBERTY (Leaf Incorporating Biochemistry Exhibiting Reflectance and Transmittance Yields) is an adaptation of radiative transfer theory for determining the optical properties of powders as mentioned in this paper.

Calculating the reflectance map

TL;DR: In this article, a unified approach to the specification of surface reflectance in terms of both incident and reflected beam geometry has been proposed, where reflecting properties of a surface are specified by the bidirectional reflectance distribution function (BRDF).
References
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Journal ArticleDOI

A Theory of Sensitized Luminescence in Solids

TL;DR: In this article, the resonance theory of Forster, which involves only allowed transitions, is extended to include transfer by means of forbidden transitions which, it is concluded, are responsible for the transfer in all inorganic systems yet investigated.
Journal ArticleDOI

Absolute Optical Absorption from Diffuse Reflectance

TL;DR: In this paper, an equation relating the diffuse reflectance of crystalline powders to particle size, index of refraction, and absolute optical absorption coefficient is derived, which is in satisfactory agreement with absolute absorption measurements on clear crystals of the same materials.