Application of the Kubelka-Munk Theory to Thickness-Dependent Diffuse Reflectance of Black Paints in the Mid-IR

The Woodburytype is a 19th century photomechanical printing method, producing high-quality continuous-tone images that use a suspension of carbon black in gelatine as a relief print, in which the variation in height of the print produces the grayscale and contrast. We propose a phenomenological optical model for the process based on Kubelka-Munk theory that considers the ink formulation, the print height and the substrate surface in order to provide the ideal combination of printing depth and contrast.

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“…The reflectance R(λ) of a film on a substrate can be predicted via these KM coefficients as [27,30,31]…”

Section: Kubelka-munk Theorymentioning

confidence: 99%

The optical properties of the Woodburytype—an alternative printing technique based on a gelatine/pigment matrix

2020

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“…Many radiative transfer models have been used for inverting optical measurements to obtain the spectral variation of effective scattering and absorption coefficients. The Kubelka-Munk model was used to obtain S and K from diffuse reflectance measurements of paints containing submicron sized black carbon or FeMnCuO x particles [24] and of TiO 2 pigmented paints [25]. An extended Kubelka-Munk approach [26] has been used to retrieve scattering and absorption coefficients of suspended particle devices [14,27] and nanoparticle-polymer composites [28].…”

Section: Introductionmentioning

confidence: 99%

Scattering and absorption cross sections of light diffusing materials retrieved from reflectance and transmittance spectra of collimated radiation

Vargas

Wang

Niklasson

2020

Journal of Modern Optics

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Four-flux radiative transfer models have been extensively used to describe reflectance and transmittance (R&T) spectra of light scattering and absorbing (S&A) media. Solutions to the differential equations corresponding to the collimated fluxes are obtained by subsequent application of boundary conditions. Explicit expressions for the collimated R&T of light are reported, when considering a light S&A medium contained between two glass slides, an experimental arrangement which is appropriate for liquid suspensions and viscous matrices containing solid particles. A spectral simulated annealing method is applied to retrieve, from measured R&T spectra of collimated light under normal incident radiation, the scattering and absorption coefficients of the composite medium. First, the accuracy of the method is established by applying it to synthetic collimated R&T data. Secondly, we apply the method to experimental data and use it to determine the S&A coefficients of a layer of TiO 2 particles dispersed in a PVP/water matrix.

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“…Yet, these may be calculated from the diffuse reflectance R. Since the Kubelka-Munk function is only correct for infinitely thick samples, i.e., they must not transmit any light, the diffuse reflectance is denoted as R ∞ for clarity. Depending on the material and the interparticle distance, this condition is typically met after a few (sub-)millimeters [15,21,33,62,[143][144][145][146].…”

Section: Theoretical Background and Simulationsmentioning

confidence: 99%

Absorption and Remission Characterization of Pure, Dielectric (Nano-)Powders Using Diffuse Reflectance Spectroscopy: An End-To-End Instruction

et al. 2019

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This paper addresses the challenging task of optical characterization of pure, dielectric (nano-)powders with the aim to provide an end-to-end instruction from appropriate sample preparation up to the determination of material remission and absorption spectra. We succeeded in establishing an innovative preparation procedure to reproducibly obtain powder pellet samples with an ideal Lambertian scattering behavior. As a result, a procedure based on diffuse reflectance spectroscopy was developed that allows for (i) performing reproducible and artifact-free, high-quality measurements as well as (ii) a thorough optical analysis using Monte Carlo and Mie scattering simulations yielding the absorption spectrum in the visible spectral range. The procedure is valid for the particular case of powders that can be compressed into thick, non-translucent pellets and neither requires embedding of the dielectric (nano-)powders within an appropriate host matrix for measurements nor the use of integrating spheres. The reduced spectroscopic procedure minimizes the large number of sources for errors, enables an in-depth understanding of non-avoidable artifacts and is of particular advantage in the field of material sciences, i.e., for getting first insights to the optical features of a newly synthesized, pure dielectric powder, but also as an inline inspection tool for massively parallelised material characterization.

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Application of the Kubelka-Munk Theory to Thickness-Dependent Diffuse Reflectance of Black Paints in the Mid-IR

Cited by 24 publications

References 28 publications

The optical properties of the Woodburytype—an alternative printing technique based on a gelatine/pigment matrix

The optical properties of the Woodburytype—an alternative printing technique based on a gelatine/pigment matrix

Scattering and absorption cross sections of light diffusing materials retrieved from reflectance and transmittance spectra of collimated radiation

Absorption and Remission Characterization of Pure, Dielectric (Nano-)Powders Using Diffuse Reflectance Spectroscopy: An End-To-End Instruction

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