Multiple-scattering model for the coherent reflection and transmission of light from a disordered monolayer of particles

Garcı́a-Valenzuela, Augusto; Gutiérrez-Reyes, Edahí; Barrera, Rubén G.

doi:10.1364/josaa.29.001161

Cited by 39 publications

(29 citation statements)

References 36 publications

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“…The optical reflectivity of disordered monolayers of particles has been of interest for many years now [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Particular attention was paid in the past to the case of monolayers of small metallic particles whose size is much smaller than the incident wavelength adsorbed on a flat surface (see, for instance, [2][3][4][5][6][7][8][9][10][11]).…”

Section: Introductionmentioning

confidence: 99%

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Optical reflectivity of a disordered monolayer of highly scattering particles: coherent scattering model versus experiment

Vázquez-Estrada¹,

Garcı́a-Valenzuela²

2014

J. Opt. Soc. Am. A

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Recently a multiple-scattering model for the reflectivity of a disordered monolayer of scattering particles on a flat surface was put forth [J. Opt. Soc. Am.29, 1161 (2012)]. The approximate theoretical model provides relatively simple formulas for the reflectivity, but it was developed for a monodisperse monolayer. Here we extend the model to the case of a polydisperse monolayer and derive the appropriate formulas to calculate the optical transmissivity of the monolayer supported by a flat interface. A second objective of this paper is to test the approximate theoretical model against experimental data with highly scattering particles. We prepared monolayers of three different surface coverage fractions of polydisperse alumina and titanium dioxide particles deposited randomly on a glass slide. We measured their optical reflectivity and transmissivity versus the angle of incidence using a laser with a wavelength of 670 nm. Using the nominal values for the particles' most probable radius and refractive index, we fitted the theoretical model to the experimental curves and found that it reproduces very well the experimental curves. Interestingly, a dip in the reflectivity curves at large angles of incidence is present for the alumina monolayers but not in the titanium dioxide monolayers. The dip corresponds to a maximum in the scattering efficiency by the alumina monolayers. The theoretical model reproduces very well this behavior.

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Section: Introductionmentioning

confidence: 99%

“…Am. 29, 1161(2012]. The approximate theoretical model provides relatively simple formulas for the reflectivity, but it was developed for a monodisperse monolayer.…”

mentioning

confidence: 99%

Optical reflectivity of a disordered monolayer of highly scattering particles: coherent scattering model versus experiment

Vázquez-Estrada¹,

Garcı́a-Valenzuela²

2014

J. Opt. Soc. Am. A

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“…This assumption can be relaxed in future investigations by employing the phase functions that take into account the influence of the skin surface and neighboring particles. 19,21,22 Particles with shapes other than spherical can also be simulated, if their scattering phase functions are known beforehand.…”

Section: Resultsmentioning

confidence: 99%

“…If the particles are in contact with the skin, a large number of multiple reflections of coherent light occur between the particles and the skin's surface, leading to a change in the surface reflectance and the angular distribution of the reflected light. 19 When the powder is immersed in a gel layer, the Fresnel reflection from the interface between air and gel gets also incorporated into the simulation. The photon packets entering the skin tissue experience scattering and absorption.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo simulation of light reflection from cosmetic powder particles near the human skin surface

et al. 2013

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Abstract. The reflection and scattering properties of light incident on human skin covered with powder particles have been investigated. A three-layer skin structure with a pigmented area is modeled, and the propagation of light in the skin's layers and in a layer of particles near the skin's surface is simulated using the Monte Carlo method. Assuming that only single scattering of light occurs in the powder layer, the simulation results show that the reflection spectra of light from the skin change with the size of powder particles. The color difference between normal and discolored skin is found to decrease considerably when powder particles with a diameter of approximately 0.25 μm are present near the skin's surface. The effects of the medium surrounding the particles, and the influence of the distribution of particle size (polydispersity), are also examined. It is shown that a surrounding medium with a refractive index close to that of the skin substantially suppresses the extreme spectral changes caused by the powder particles covering the skin surface. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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“…At the opposite extreme, the two-flux model, known as the Kubelka-Munk model [7,8] is the easiest of these models to use but the parameters of this model are the scattering (S) and absorption (K) coefficients of the global system. More recently a model for a monolayer of mono-dispersed particles on a substrate has been proposed [9] and then extended for a monolayer of particles with a particle size distribution [10]. D.J.…”

Section: Introductionmentioning

confidence: 99%

Influence of moisture content on reflectance of granular materials. Part II: optical measurements and modelling

2016

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In some fields, it's important to control the moisture content of granular materials without any invasive method. Moisture content is suspected to play a role in the occurrence of some unwanted phenomena like remobilization of particles on rock walls in caves for example. The hygrothermal conditions are important as they can modify the moisture content of the granular materials on the wall leading to a humidification or at the contrary to a drying of the powder. In this study, optical measurements are used to characterize a wet powder during its drying process. Different steps of this dynamic drying process are modelled and thanks to an adaptation of the existing Melamed's model of scattering of light by a particulate medium, simulation results are compared with instrumental measures. The modelling of such a system allows the estimation of moisture content of a granular material and brings information about the localization of water in the particulate medium.

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Multiple-scattering model for the coherent reflection and transmission of light from a disordered monolayer of particles

Cited by 39 publications

References 36 publications

Optical reflectivity of a disordered monolayer of highly scattering particles: coherent scattering model versus experiment

Optical reflectivity of a disordered monolayer of highly scattering particles: coherent scattering model versus experiment

Monte Carlo simulation of light reflection from cosmetic powder particles near the human skin surface

Influence of moisture content on reflectance of granular materials. Part II: optical measurements and modelling

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