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Journal articles on the topic 'Kubelka-Munk'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Schirmacher, W., and G. Ruocco. "Diffusion of light in turbid media with internal reflections." Condensed Matter Physics 26, no. 3 (2023): 33604. http://dx.doi.org/10.5488/cmp.26.33604.

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We relate the the Kubelka-Munk equations for the description of the intensity transfer of light in turbid media to a one-dimensional diffusion equation, which is obtained by averaging the three-dimensional diffusion equation over the lateral directions. This enables us to identify uniquely the Kubelka-Munk parameters and derive expressions for diffuse reflection and transmission coefficients including the effect of internal reflections. Without internal reflections we recover the Kubelka-Munk formulae for these coefficients. We show that the Kubelka-Munk equations are the proper radiative-tran

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2

Loyalka, S. K., and C. A. Riggs. "Inverse Problem in Diffuse Reflectance Spectroscopy: Accuracy of the Kubelka-Munk Equations." Applied Spectroscopy 49, no. 8 (1995): 1107–10. http://dx.doi.org/10.1366/0003702953964976.

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In diffuse reflectance spectroscopy the Kubelka-Munk equations have been used extensively. These equations provide simple solutions to the inverse problem of obtaining information on the scattering and absorption cross sections from reflected light. Proof is provided that the basic Kubelka-Munk equation [Formula: see text] should be replaced by the equation [Formula: see text] and that the Kubelka-Munk function [Formula: see text] should be replaced by the function [Formula: see text] Here r( x) is the reflectance; s is the scattering cross section (cm−1); a = ( k + s)/ s, where k is the absor

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3

Lin, Ling, and Ling Zhao. "Fabric color formulation using a modified Kubelka-Munk theory considering thermal effect." Thermal Science 27, no. 3 Part A (2023): 1811–18. http://dx.doi.org/10.2298/tsci2303811l.

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The Kubelka-Munk function is simple but it ignores the film?s thickness, so its applications are greatly limited. Though the exact relationship between the Kubelka-Munk function and the thickness can be derived from a differential model, it is too complex to be practically used. Here a modification is suggested by taking the thickness effect and the temperature effect into account, and the validity is widely enlarged. The modified Kubelka-Munk theory can be used as a color-matching model for colorful fabrics. If the porosity of the film is considered, a fractal modification with two-scale frac

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4

Bonham, James S. "Fluorescence and kubelka-munk theory." Color Research & Application 11, no. 3 (1986): 223–30. http://dx.doi.org/10.1002/col.5080110310.

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5

AKPINAR, Ömer, Ahmet BİLGİLİ, Mustafa ÖZTÜRK, and Süleyman ÖZÇELİK. "Optical Properties of AlInN/AlN HEMTs in Detail." Karadeniz Fen Bilimleri Dergisi 12, no. 2 (2022): 521–29. http://dx.doi.org/10.31466/kfbd.954421.

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In this study, the optical properties of AlInN/AlN high electron mobility transistor (HEMT) structure, grown on c-oriented sapphire with Metal-Organic Chemical Vapor Deposition (MOCVD) technique, being investigated. Optical characterization is made Kubelka- Munk method. Transmittance, absorbance, and reflectance are investigated in detail. Also, the Kubelka-Munk theory is employed to determine the forbidden energy band gap of InN by using special functions. The energy band gap obtained by this method was compared.

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6

Yang, Hong Ying, Jin Li Zhou, Zhi Wen Que, and Xiao Dan Ma. "The Influence of Dye Concentration on Kubelka-Munk Fundamental Optical Parameters of Fabric." Advanced Materials Research 332-334 (September 2011): 481–84. http://dx.doi.org/10.4028/www.scientific.net/amr.332-334.481.

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Kubelka-Munk theory and a functional hypothesis on the relationship between colored turbid materials and colorant concentration (the so called additivity color-mixing law) work together and play an important role in color science and technology. This paper is to investigate the relations between the dye concentration and the Kubelka-Munk fundamental optical parameters through a series of systematical experiments, data processing and analyzing on fabrics dyed by disperse dyes. The experimental results question the hypothesis.

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7

Shen, Jing, Ya Li, and Ji-Huan He. "On the Kubelka–Munk absorption coefficient." Dyes and Pigments 127 (April 2016): 187–88. http://dx.doi.org/10.1016/j.dyepig.2015.11.029.

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8

Simon, Klaus. "A Stochastic Interpretation of Kubelka-Munk." Conference on Colour in Graphics, Imaging, and Vision 1, no. 1 (2002): 468–72. http://dx.doi.org/10.2352/cgiv.2002.1.1.art00099.

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9

Gunde, M. Klanjšek, J. Kožar Logar, Z. Crnjak Orel, and B. Orel. "Application of the Kubelka-Munk Theory to Thickness-Dependent Diffuse Reflectance of Black Paints in the Mid-IR." Applied Spectroscopy 49, no. 5 (1995): 623–29. http://dx.doi.org/10.1366/0003702953964165.

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The Kubelka-Munk theory is applied to the thickness-dependent diffuse reflectance of black-painted samples in the mid-IR. The calculated absorption and scattering coefficients are wavenumber-dependent. The reflectance of the nonideal backing also shows spectral features, which is attributed to the reflections from the boundary surface between the scattering medium and the substrate. The spectral dependence of scattering penetration depth is caused by the scattering and absorption processes. At some wavenumbers, the diffuse reflectance is independent of layer thickness, because of particular va

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10

Cho, A. Ra, Su Ji Kim, Jun Bae Lee, et al. "A Study of Skin Reflectance Using Kubelka-Munk Model." Journal of the Society of Cosmetic Scientists of Korea 42, no. 1 (2016): 45–55. http://dx.doi.org/10.15230/scsk.2016.42.1.45.

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11

Vöge, Markus, and Klaus Simon. "The Kubelka–Munk model and Dyck paths." Journal of Statistical Mechanics: Theory and Experiment 2007, no. 02 (2007): P02018. http://dx.doi.org/10.1088/1742-5468/2007/02/p02018.

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12

Centore, Paul. "Enforcing Kubelka–Munk constraints for opaque paints." Coloration Technology 136, no. 6 (2020): 492–502. http://dx.doi.org/10.1111/cote.12497.

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13

Vargas, William E., and Gunnar A. Niklasson. "Applicability conditions of the Kubelka–Munk theory." Applied Optics 36, no. 22 (1997): 5580. http://dx.doi.org/10.1364/ao.36.005580.

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14

Myrick, Michael L., Michael N. Simcock, Megan Baranowski, Heather Brooke, Stephen L. Morgan, and Jessica N. McCutcheon. "The Kubelka-Munk Diffuse Reflectance Formula Revisited." Applied Spectroscopy Reviews 46, no. 2 (2011): 140–65. http://dx.doi.org/10.1080/05704928.2010.537004.

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15

Sandoval, Christopher, and Arnold D. Kim. "Deriving Kubelka–Munk theory from radiative transport." Journal of the Optical Society of America A 31, no. 3 (2014): 628. http://dx.doi.org/10.1364/josaa.31.000628.

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16

Vargas, William E. "Inversion methods from Kubelka$ndash$Munk analysis." Journal of Optics A: Pure and Applied Optics 4, no. 4 (2002): 452–56. http://dx.doi.org/10.1088/1464-4258/4/4/314.

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17

Dahm, Donald J. "Why Does the Kubelka—Munk Equation “Fail”?" NIR news 14, no. 2 (2003): 17–18. http://dx.doi.org/10.1255/nirn.709.

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18

Dahm, Donald J. "Re-Calibrating Kubelka—Munk: Which Absorption Coefficient?" NIR news 14, no. 3 (2003): 10–11. http://dx.doi.org/10.1255/nirn.717.

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19

Law, Donald P., Anthony B. Blakeney, and Russell Tkachuk. "The Kubelka–Munk Equation: Some Practical Considerations." Journal of Near Infrared Spectroscopy 4, no. 1 (1996): 189–93. http://dx.doi.org/10.1255/jnirs.89.

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Notwithstanding that the Kubelka–Munk function [F( R)] is the theoretically preffered treatment, relative to log 1/ r, for reflectance data, it has found little favour with workers in near infrared (NIR) reflectance. The most often quoted advantage for F( R) is an improvement in linearity with concentration, which occurs when measurements are made over a wide range of reflection and concentration. However, the practice in NIR is to limit the reflectance range by standardising the method of sample preparation. Hence, the linearity of log 1/ r is not an issue. However, is this restriction on sam

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20

Hembree, D. M., and H. R. Smyrl. "Anomalous Dispersion Effects in Diffuse Reflectance Infrared Fourier Transform Spectroscopy: A Study of Optical Geometries." Applied Spectroscopy 43, no. 2 (1989): 267–74. http://dx.doi.org/10.1366/0003702894203057.

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In this report, the two most common diffuse reflectance infrared Fourier transform spectroscopy (DRIFTS) optical geometries (on-axis and off-axis) are investigated in terms of adherence to the Kubelka-Munk theory. It was found that specular reflection, whether in the form of regular Fresnel reflection or diffuse Fresnel reflection, is the major cause of spectral distortion in typical diffuse reflectance measurements. A discussion of the origin of the variation in specular background associated with resonances is presented. Once the adverse effects of specular reflection are minimized, the line

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21

Yang, Li, and Björn Kruse. "Revised Kubelka–Munk theory I Theory and application." Journal of the Optical Society of America A 21, no. 10 (2004): 1933. http://dx.doi.org/10.1364/josaa.21.001933.

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22

Nobbs, James H. "Kubelka-Munk Theory and the Prediction of Reflectance." Review of Progress in Coloration and Related Topics 15, no. 1 (2008): 66–75. http://dx.doi.org/10.1111/j.1478-4408.1985.tb03737.x.

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23

Shakespeare, Tarja, and John Shakespeare. "A fluorescent extension to the Kubelka-Munk model." Color Research & Application 28, no. 1 (2002): 4–14. http://dx.doi.org/10.1002/col.10109.

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24

Brill, Michael H. "Calibrating low-scattering samples using Kubelka-Munk model." Color Research & Application 42, no. 1 (2016): 123. http://dx.doi.org/10.1002/col.22096.

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25

Arney, J. S., Jim Chauvin, Josh Nauman, and Peter G. Anderson. "Kubelka-Munk Theory and the MTF of Paper." Journal of Imaging Science and Technology 47, no. 4 (2003): 339–45. http://dx.doi.org/10.2352/j.imagingsci.technol.2003.47.4.art00007.

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26

Yang, Li. "What Has Been Overlooked in Kubelka-Munk Theory?" NIP & Digital Fabrication Conference 21, no. 1 (2005): 376–79. http://dx.doi.org/10.2352/issn.2169-4451.2005.21.1.art00012_2.

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27

Fathi, Abdelli, Jeyaraj Sahaya Vijay, Mohamad Nazri Husin, and Tony Augustine. "Valency-Based Molecular Descriptor on Structural Property Relationship of Ni Tetrathiafulvalene Tetrathionate." Malaysian Journal of Fundamental and Applied Sciences 20, no. 6 (2024): 1398–409. https://doi.org/10.11113/mjfas.v20n6.3831.

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Induced by quantitative structural relationships, valency-based topological indices have been investigated for predicting the structural properties of Ni Tetrathiafulvalene tetrathionate (NiTTFtt) like 2D sheet. Through the use of topological indices, the Kubelka-Munk function for bad gap energy, vibrational frequencies of IR spectroscopy, and graph energy of NiTTFtt like 2D sheet are calculated. The structural features studied have applications such as biosensing, drug discovery, chemical graph theory, machine learning, and more. This main study focused on deriving expressions and numerical v

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28

Landi, Salmon. "Comment on “Kubelka-Munk function” – Ceram. Int. 47 (2021) 8218–8227 and “Kubelka-Munk equation” – Ceram. Int. 47 (2021) 13980–13993." Ceramics International 47, no. 19 (2021): 28055. http://dx.doi.org/10.1016/j.ceramint.2021.06.103.

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29

Zhao, Jun. "Analytical Solution to the Depth-of-Origin Profile of Transmission Raman Spectroscopy in Turbid Media Based on the Kubelka–Munk Model." Applied Spectroscopy 73, no. 9 (2019): 1061–73. http://dx.doi.org/10.1177/0003702819845914.

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An analytical formula to the depth-of-origin profile of transmission Raman spectroscopy in turbid media was derived from the one-dimensional (1D) Kubelka–Munk model. The depth-of-origin profile of the transmitted Raman is proportional to the excitation intensity profile and the transmittance profile, which are two functions of similar forms. The effect of scattering, absorption, and signal-enhancing reflectors are incorporated into the formula. Depth-of-origin profile of a model sample was measured at better than 0.2 mm resolution and fits the formula reasonably well. Conical reflective caviti

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30

Kozlova, Svetlana G., Maxim R. Ryzhikov, Vladimir R. Shayapov, and Denis G. Samsonenko. "Effect of spin–phonon interactions on Urbach tails in flexible [M2(bdc)2(dabco)]." Physical Chemistry Chemical Physics 22, no. 27 (2020): 15242–47. http://dx.doi.org/10.1039/d0cp01944e.

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The optical properties of MOFs [M<sub>2</sub>(bdc)<sub>2</sub>(dabco)] (M = Co, Ni, Cu, Zn) in the wavelength region of 300–1000 nm were studied, the electronic band-to-band transitions were determined and characterized by the Kubelka–Munk approach and DFT calculations.

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31

Hongying Yang, Sukang Zhu, and Ning Pan. "On the Kubelka—Munk Single-Constant/Two-Constant Theories." Textile Research Journal 80, no. 3 (2009): 263–70. http://dx.doi.org/10.1177/0040517508099914.

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32

Kokhanovsky, Alexander A. "Physical interpretation and accuracy of the Kubelka–Munk theory." Journal of Physics D: Applied Physics 40, no. 7 (2007): 2210–16. http://dx.doi.org/10.1088/0022-3727/40/7/053.

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33

Sandoval, Christopher, and Arnold D. Kim. "Extending generalized Kubelka–Munk to three-dimensional radiative transfer." Applied Optics 54, no. 23 (2015): 7045. http://dx.doi.org/10.1364/ao.54.007045.

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34

Abdul-Rahman, Alfie, and Min Chen. "Spectral Volume Rendering based on the Kubelka-Munk Theory." Computer Graphics Forum 24, no. 3 (2005): 413–22. http://dx.doi.org/10.1111/j.1467-8659.2005.00866.x.

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35

Brill, Michael H., and Ya Qi Li. "Note calibrating low-scattering samples using Kubelka-Munk model." Color Research & Application 41, no. 4 (2015): 399–401. http://dx.doi.org/10.1002/col.21965.

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36

Geusebroek, Jan-Mark, Theo Gevers, and Arnold W. M. Smeulders. "The Kubelka-Munk Theory for Color Image Invariant Properties." Conference on Colour in Graphics, Imaging, and Vision 1, no. 1 (2002): 463–67. http://dx.doi.org/10.2352/cgiv.2002.1.1.art00098.

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37

George, Prince, and Pradip Chowdhury. "Complex dielectric transformation of UV-vis diffuse reflectance spectra for estimating optical band-gap energies and materials classification." Analyst 144, no. 9 (2019): 3005–12. http://dx.doi.org/10.1039/c8an02257g.

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In this work, a complex dielectric transformation of UV-vis diffuse reflectance spectra is proposed to estimate the optical band-gap energies of an array of materials classified as semi-conductors, conductors and insulators and the results are compared with the more common Kubelka–Munk (K–M) transformation.

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38

Shahin, Ali, Moustafa Sayem El-Daher, and Wesam Bachir. "Determination of the optical properties of Intralipid 20% over a broadband spectrum." Photonics Letters of Poland 10, no. 4 (2018): 124. http://dx.doi.org/10.4302/plp.v10i4.843.

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The aim of this study is to characterize the optical properties of Intralipid20% using two methods modified Kubelka-Munk model and Mie theory and to test the applicability of a modified Kubelka-Munk model with a single integrating sphere system over a wide wavelength range 470 – 725nm. Scattering coefficients which estimated by these two methods were matched and the absorption effect was observed and quantified. Finally, the imaginary part of the refractive index was estimated besides scattering, absorption and anisotropy coefficients. Full Text: PDF ReferencesB.W. Pogue, and M.S. Patterson, "

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39

Zhou, Hua, Chun Yan Wang, and Jiu Zhou. "Color Prediction for Weft-All-Coloring Jacquard Fabric Based on the Two-Constant Kubelka-Munk Theory." Advanced Materials Research 418-420 (December 2011): 2278–81. http://dx.doi.org/10.4028/www.scientific.net/amr.418-420.2278.

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Weft-all-coloring jacquard fabric is smoother and plentiful. It looks stereoscopic impression. Because of complex fabric structures, color designing of jacquard fabric still remains a problem to be solved. In addition, there have not ideal colorful model to predict jacquard fabric structure. In view of the above problems, this study use four primary samples that red, yellow, green are used in weft yarn and white is used in warp to prepare many weft-all-coloring jacquard fabric of single-warp and double-weft. Though a large number of experimental color about a data-color 600 plus spectrophotome

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40

Wei, Yuh Chang, Wen Min Chou, and Chih Lang Chen. "The Performance of Computerized Spectrum Color Matching Based on Kubelka-Munk Theory and its Color Rendering on Offset Ink Sets." Advanced Materials Research 174 (December 2010): 72–76. http://dx.doi.org/10.4028/www.scientific.net/amr.174.72.

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The purpose of the study intended to examine the performance of color rendering based on a computerized spectrum color matching (CSCM) method derived from the Kubelka-Munk theory. In the study, we prepared 2 offset ink sets to produce 30 standard color samples sets. The target color samples were measured by spectrophotometer to compare with the predicted values calculated by the CSCM model. The results showed that average measured color difference (∆E) via CIE L*a*b* and CIE DE2000 formulas between samples and CSCM predicted values averaged 5.89, 3.72 (∆Es), 6.94, 4.22(∆Epv), respectively. The

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41

Gabriela, Macaveiu. "Mathematical Methods in Biomedical Optics." ISRN Biomedical Engineering 2013 (December 30, 2013): 1–8. http://dx.doi.org/10.1155/2013/464293.

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This paper presents a review of the phenomena regarding light-tissue interactions, especially absorption and scattering. The most important mathematical approaches for modeling the light transport in tissues and their domain of application: “first-order scattering,” “Kubelka-Munk theory,” “diffusion approximation,” “Monte Carlo simulation,” “inverse adding-doubling” and “finite element method” are briefly described.

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42

Yang, Li, and R. D. Hersch. "Kubelka-Munk Model for Imperfectly Diffuse Light Distribution in Paper." Journal of Imaging Science and Technology 52, no. 3 (2008): 030201. http://dx.doi.org/10.2352/j.imagingsci.technol.(2008)52:3(030201).

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43

Thennadil, Suresh N. "Relationship between the Kubelka-Munk scattering and radiative transfer coefficients." Journal of the Optical Society of America A 25, no. 7 (2008): 1480. http://dx.doi.org/10.1364/josaa.25.001480.

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44

Sandoval, Christopher, and Arnold D. Kim. "Generalized Kubelka–Munk approximation for multiple scattering of polarized light." Journal of the Optical Society of America A 34, no. 2 (2017): 153. http://dx.doi.org/10.1364/josaa.34.000153.

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45

Dahm, Donald J. "Re-Calibrating Kubelka—Munk: An Intuitive Model of Diffuse Reflectance." NIR news 14, no. 4 (2003): 10. http://dx.doi.org/10.1255/nirn.726.

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46

Brand, Ulrich. "Zur Bestimmung der Kubelka-Munk-Parameter lichtstreuender Materialien aus Transmissionsgraden." Zeitschrift für Chemie 13, no. 4 (2010): 154–55. http://dx.doi.org/10.1002/zfch.19730130427.

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47

Walowit, Eric, Cornelius J. McCarthy, and Roy S. Berns. "Spectrophotometric color matching based on two-constant kubelka-munk theory." Color Research & Application 13, no. 6 (1988): 358–62. http://dx.doi.org/10.1002/col.5080130606.

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48

Johnston, William M., William J. O'Brien, and Tseng-Ying Tien. "Concentration additivity of kubelka-munk optical coefficients of porcelain mixtures." Color Research & Application 11, no. 2 (1986): 131–37. http://dx.doi.org/10.1002/col.5080110209.

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49

Geladi, P., D. MacDougall, and H. Martens. "Linearization and Scatter-Correction for Near-Infrared Reflectance Spectra of Meat." Applied Spectroscopy 39, no. 3 (1985): 491–500. http://dx.doi.org/10.1366/0003702854248656.

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This paper is concerned with the quantitative analysis of multicomponent mixtures by diffuse reflectance spectroscopy. Near-infrared reflectance (NIRR) measurements are related to chemical composition but in a nonlinear way, and light scatter distorts the data. Various response linearizations of reflectance (R) are compared ( R with Saunderson correction for internal reflectance, log 1/ R, and Kubelka-Munk transformations and its inverse). A multi-wavelength concept for optical correction (Multiplicative Scatter Correction, MSC) is proposed for separating the chemical light absorption from the

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50

S., K. Rajput*, Ali Alka, and Pandey Jaya. "ADVANCED APPROACH FOR TRICHROMY FORMULATION IN CONTINUOUS DYEING." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 5, no. 4 (2016): 799–807. https://doi.org/10.5281/zenodo.50414.

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Reactive dye fixation to color yield of dyed cellulosic fibre significantly depend on the dye diffusion extent into the fibre polymer matrix. In case of pad-dyeing process dye diffusion exerts more significant influence on dye fixation, consequently color yield takes place. Dye selection concepts based on performance tests requires tedious experimental work which remains always very difficult in continuous processes. In order to overcome this problem, this research work will provide an appropriate platform to understand and optimize the diffusion coefficient which plays important role in best

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