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Relevant bibliographies by topics / Kubelka Munk equation

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Academic literature on the topic 'Kubelka Munk equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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Journal articles on the topic "Kubelka Munk equation"

1

Loyalka, S. K., and C. A. Riggs. "Inverse Problem in Diffuse Reflectance Spectroscopy: Accuracy of the Kubelka-Munk Equations." Applied Spectroscopy 49, no. 8 (August 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 absorption cross section (cm−1); and R∞ is the reflection coefficient of an infinitely thick sample. We note, however, that because of a redefinition of a carried out by Kubelka and Munk in the process of their calculations, the scattering cross section s calculated from their expression [Formula: see text] is correct. But the Kubelka-Munk theory still overestimates k by a factor of two.

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2

Law, Donald P., Anthony B. Blakeney, and Russell Tkachuk. "The Kubelka–Munk Equation: Some Practical Considerations." Journal of Near Infrared Spectroscopy 4, no. 1 (January 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 sample preparation methodology a result of the use of log 1/ r? This study shows that moisture changes in ground wheat fractions are linear with F( R) and curvilinear with log 1/ r, and demonstrates that a calibration for moisture in wheat based on F( R) and a large reflectance range, can be successfully transferred to an instrument substantially different from that used to develop the calibration.

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

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4

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 (October 2021): 28055. http://dx.doi.org/10.1016/j.ceramint.2021.06.103.

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KOZLOV, I. O. "REVIEW OF APPROACHES TO DESCRIPTION OF LIGHT SCATTERING IN BIOLOGICAL TISSUE." Fundamental and Applied Problems of Engineering and Technology 3 (2020): 131–39. http://dx.doi.org/10.33979/2073-7408-2020-341-3-131-139.

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The article discusses various approaches to modeling the processes of light scattering in biological tissues. The analytical radiation transfer equation, the Tversky approach, the Bethe–Salpeter equation, and the ladder approximation are considered. For cases of single scattering, the Kubelka–Munk approach, the diffusion approximation, and the small perturbation method are presented. The mathematical principles of the considered methods are disclosed in the paper and the limits of applicability in solving the radiation transfer equation are analyzed.

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Christy, Alfred A., Olav M. Kvalheim, and Rance A. Velapoldi. "Quantitative analysis in diffuse reflectance spectrometry: A modified Kubelka-Munk equation." Vibrational Spectroscopy 9, no. 1 (May 1995): 19–27. http://dx.doi.org/10.1016/0924-2031(94)00065-o.

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Mandelis, Andreas, and J. P. Grossman. "Perturbation Theoretical Approach to the Generalized Kubelka-Munk Problem in Nonhomogeneous Optical Media." Applied Spectroscopy 46, no. 5 (May 1992): 737–45. http://dx.doi.org/10.1366/0003702924124754.

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The generalized Kubelka-Munk problem is considered in nonhomogeneous optical media with arbitrary depth-dependent absorption and scattering coefficients. Regular perturbation theory is applied to the resulting Riccati equation, and explicit expressions are derived for the diffuse reflectance and transmittance of a finite thickness layer. The first-order perturbation solution to the problem with exponentially distributed absorption and scattering coefficients is presented, and the implications for the quantitative study of nonhomogeneous optical media, such as powdered layers, are discussed.

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LOVE, R. B., S. OGLESBY, and I. GAILEY. "The Relation between Dye Concentration and Reflectance-Amendments to the Kubelka-Munk Equation." Journal of the Society of Dyers and Colourists 81, no. 12 (October 22, 2008): 609–14. http://dx.doi.org/10.1111/j.1478-4408.1965.tb02637.x.

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Li, Jiao, Jiao Shi, Yuanbiao Li, Zhanlai Ding, and Jianguo Huang. "Response to letter to the editor re: 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 (October 2021): 28056. http://dx.doi.org/10.1016/j.ceramint.2021.06.102.

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10

Amirshahi, S. H., and M. T. Pailthorpe. "Applying the Kubelka-Munk Equation to Explain the Color of Blends Prepared from Precolored Fibers." Textile Research Journal 64, no. 6 (June 1994): 357–64. http://dx.doi.org/10.1177/004051759406400608.

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Dissertations / Theses on the topic "Kubelka Munk equation"

1

Dyer, Thomas J. "Elucidating the formation and chemistry of chromophores during kraft pulping." Diss., Available online, Georgia Institute of Technology, 2005, 2004. http://etd.gatech.edu/theses/available/ipstetd-1018/.

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Kan, Jeremy Chia-wei, and 甘家葳. "Mathematical equations from the Kubelka-Munk differentials." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/55934985004070985812.

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碩士
中國文化大學
材料科學與製造研究所
88
Abstract MATHEMATICAL EQUATIONS FROM THE KUBELKA-MUNK DIFFERENTIALS by Jeremy Chia-Wei Kan The two-constant Kubelka-Munk (K/M) theory has been exploited in many industries including plastics, paint, cosmetics, textile, and paper. This theory was developed in 1931. Regardless its long-term applications in industries, the detailed derivations of the basic equations have not been published in the literature. All equations published are in the form of final results. In addition, based on the published discussions of the basic equations, it is plausible that new equations could be generated through mathematical derivation. In the current thesis research, the objective is to create new equations for calculating optical properties of paper. The thesis approach is to first familiarize K/M theory and the derivation process for the basic equations. Then use the mathematical experiences gained to accomplish the research objective. It can be concluded that all basic equations of the K/M theory are derived from skills of algebra, hyperbolic functions, natural logarithmic and exponential functions, and simple definite integration. Moreover, two new equations have been created, based on the same mathematical skills, for calculating optical properties of paper. The first equation is for determining Tappi opacity (C0.89) using parameters of R∞ (Reflectivity) and SX (Scattering power). The second equation is for determining Printing opacity (C∞) using the same parameters. These two equations can be applied to find either C0.89 or C∞ when one of them is pre-known. Finally either of these two new equations can be used to back-derive some significant K/M parameters such as S (Scattering coefficient), K (Absorption coefficient), and R∞ (Reflectivity）.

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Book chapters on the topic "Kubelka Munk equation"

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Gooch, Jan W. "Kubelka-Munk Equation." In Encyclopedic Dictionary of Polymers, 414–15. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_6719.

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Hempelmann, Uwe. "6. Kubelka-Munk equation for transparent layers." In Colour Technology of Coatings, 156–57. Hannover, Germany: Vincentz Network, 2019. http://dx.doi.org/10.1515/9783748600282-022.

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"Kubelka–Munk equation." In Encyclopedic Dictionary of Polymers, 559–60. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-30160-0_6609.

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