C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
L. Simonot, R. D. Hersch, M. Hébert, and S. Mazauric, “Multilayer four-flux matrix model accounting for directional-diffuse light transfers,” Appl. Opt. 55, 27–37 (2016).
[Crossref]
R. A. de la Osa, A. G. Alonso, D. Ortiz, F. González, F. Moreno, and J. Saiz, “Extension of the Kubelka–Munk theory to an arbitrary substrate: a Monte Carlo approach,” J. Opt. Soc. Am. A 33, 2053–2060 (2016).
[Crossref]
L. G. Sokoletsky, V. P. Budak, F. Shen, and A. A. Kokhanovsky, “Comparative analysis of radiative transfer approaches for calculation of plane transmittance and diffuse attenuation coefficient of plane-parallel light scattering layers,” Appl. Opt. 53, 459–468 (2014).
[Crossref]
L. Wang, J. I. Eldridge, and S. Guo, “Comparison of different models for the determination of the absorption and scattering coefficients of thermal barrier coatings,” Acta Mater. 64, 402–410 (2014).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
Y. Zhang and J. C. Tan, “Radiation transfer of models of massive star formation. I. Dependence on basic core properties,” Astrophys. J. 733, 55–75 (2011).
[Crossref]
V. D.-M. Ž. Barbarić-Mikočević and K. Itrić, “Kubelka–Munk theory in describing optical properties of paper (I),” Teh. Vjesn. 18, 117–124 (2011).
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
C. Rozé, T. Girasole, and A.-G. Tafforin, “Multilayer four-flux model of scattering, emitting and absorbing media,” Atmos. Environ. 35, 5125–5130 (2001).
[Crossref]
S. Platnick, “Vertical photon transport in cloud remote sensing problems,” J. Geophys. Res. Atmos. 105, 22919–22935 (2000).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Applicability conditions of the Kubelka–Munk theory,” Appl. Opt. 36, 5580–5586 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward average path-length parameter in four-flux radiative transfer models,” Appl. Opt. 36, 3735–3738 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward-scattering ratios and average pathlength parameter in radiative transfer models,” J. Phys. Condens. Matter 9, 9083–9096 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Pigment mass density and refractive index determination from optical measurements,” J. Phys. Condens. Matter 9, 1661–1670 (1997).
[Crossref]
H. R. Kang, “Applications of color mixing models to electronic printing,” J. Electron. Imaging 3, 276–288 (1994).
[Crossref]
F. P. Bolin, L. E. Preuss, R. C. Taylor, and R. J. Ference, “Refractive index of some mammalian tissues using a fiber optic cladding method,” Appl. Opt. 28, 2297–2303 (1989).
[Crossref]
B. Maheu, J. Briton, and G. Gouesbet, “Four-flux model and a Monte Carlo code: comparisons between two simple, complementary tools for multiple scattering calculations,” Appl. Opt. 28, 22–24(1989).
[Crossref]
J. Hovenier and C. Van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
P. Kubelka and F. Munk, “An article on optics of paint layers,” Z. Tech. Phys. 12, 593–601 (1931).
H. J. Mcnicholas, “Absolute methods in reflectometry,” Bur. Stand. J. Res. 1, 29–73 (1928).
[Crossref]
A. Schuster, “Radiation through a foggy atmosphere,” Astrophys. J. 21, 1–22 (1905).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
J. Beasley, J. Atkins, and F. Billmeyer, “Scattering and absorption of light in turbid media,” in ICES Electromagnetic Scattering (1967), Vol. 63, pp. 765–785.
V. D.-M. Ž. Barbarić-Mikočević and K. Itrić, “Kubelka–Munk theory in describing optical properties of paper (I),” Teh. Vjesn. 18, 117–124 (2011).
J. Beasley, J. Atkins, and F. Billmeyer, “Scattering and absorption of light in turbid media,” in ICES Electromagnetic Scattering (1967), Vol. 63, pp. 765–785.
J. Beasley, J. Atkins, and F. Billmeyer, “Scattering and absorption of light in turbid media,” in ICES Electromagnetic Scattering (1967), Vol. 63, pp. 765–785.
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
S. Chandrasekhar, Radiative Transfer (Courier, 2013).
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
L. Wang, J. I. Eldridge, and S. Guo, “Comparison of different models for the determination of the absorption and scattering coefficients of thermal barrier coatings,” Acta Mater. 64, 402–410 (2014).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
C. Rozé, T. Girasole, and A.-G. Tafforin, “Multilayer four-flux model of scattering, emitting and absorbing media,” Atmos. Environ. 35, 5125–5130 (2001).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
B. Maheu, J. Briton, and G. Gouesbet, “Four-flux model and a Monte Carlo code: comparisons between two simple, complementary tools for multiple scattering calculations,” Appl. Opt. 28, 22–24(1989).
[Crossref]
B. Maheu, J.-N. Letoulouzan, and G. Gouesbet, “Four-flux models to solve the scattering transfer equation in terms of Lorenz–Mie parameters,” Appl. Opt. 23, 3353–3362 (1984).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
L. Wang, J. I. Eldridge, and S. Guo, “Comparison of different models for the determination of the absorption and scattering coefficients of thermal barrier coatings,” Acta Mater. 64, 402–410 (2014).
[Crossref]
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
E. Hecht, Optics, 5th ed. (Pearson Education, 2017).
J. Hovenier and C. Van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.
V. D.-M. Ž. Barbarić-Mikočević and K. Itrić, “Kubelka–Munk theory in describing optical properties of paper (I),” Teh. Vjesn. 18, 117–124 (2011).
H. R. Kang, “Applications of color mixing models to electronic printing,” J. Electron. Imaging 3, 276–288 (1994).
[Crossref]
P. Kubelka and F. Munk, “An article on optics of paint layers,” Z. Tech. Phys. 12, 593–601 (1931).
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
B. Maheu, J. Briton, and G. Gouesbet, “Four-flux model and a Monte Carlo code: comparisons between two simple, complementary tools for multiple scattering calculations,” Appl. Opt. 28, 22–24(1989).
[Crossref]
B. Maheu, J.-N. Letoulouzan, and G. Gouesbet, “Four-flux models to solve the scattering transfer equation in terms of Lorenz–Mie parameters,” Appl. Opt. 23, 3353–3362 (1984).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
H. J. Mcnicholas, “Absolute methods in reflectometry,” Bur. Stand. J. Res. 1, 29–73 (1928).
[Crossref]
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
P. Kubelka and F. Munk, “An article on optics of paint layers,” Z. Tech. Phys. 12, 593–601 (1931).
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward-scattering ratios and average pathlength parameter in radiative transfer models,” J. Phys. Condens. Matter 9, 9083–9096 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Applicability conditions of the Kubelka–Munk theory,” Appl. Opt. 36, 5580–5586 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward average path-length parameter in four-flux radiative transfer models,” Appl. Opt. 36, 3735–3738 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Pigment mass density and refractive index determination from optical measurements,” J. Phys. Condens. Matter 9, 1661–1670 (1997).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
S. Platnick, “Vertical photon transport in cloud remote sensing problems,” J. Geophys. Res. Atmos. 105, 22919–22935 (2000).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
C. Rozé, T. Girasole, and A.-G. Tafforin, “Multilayer four-flux model of scattering, emitting and absorbing media,” Atmos. Environ. 35, 5125–5130 (2001).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
A. Schuster, “Radiation through a foggy atmosphere,” Astrophys. J. 21, 1–22 (1905).
[Crossref]
C. Rozé, T. Girasole, and A.-G. Tafforin, “Multilayer four-flux model of scattering, emitting and absorbing media,” Atmos. Environ. 35, 5125–5130 (2001).
[Crossref]
Y. Zhang and J. C. Tan, “Radiation transfer of models of massive star formation. I. Dependence on basic core properties,” Astrophys. J. 733, 55–75 (2011).
[Crossref]
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
J. Hovenier and C. Van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
W. E. Vargas, “Generalized four-flux radiative transfer model,” Appl. Opt. 37, 2615–2623 (1998).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward average path-length parameter in four-flux radiative transfer models,” Appl. Opt. 36, 3735–3738 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Applicability conditions of the Kubelka–Munk theory,” Appl. Opt. 36, 5580–5586 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward-scattering ratios and average pathlength parameter in radiative transfer models,” J. Phys. Condens. Matter 9, 9083–9096 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Pigment mass density and refractive index determination from optical measurements,” J. Phys. Condens. Matter 9, 1661–1670 (1997).
[Crossref]
L. Wang, J. I. Eldridge, and S. Guo, “Comparison of different models for the determination of the absorption and scattering coefficients of thermal barrier coatings,” Acta Mater. 64, 402–410 (2014).
[Crossref]
Y. Zhang and J. C. Tan, “Radiation transfer of models of massive star formation. I. Dependence on basic core properties,” Astrophys. J. 733, 55–75 (2011).
[Crossref]
L. Wang, J. I. Eldridge, and S. Guo, “Comparison of different models for the determination of the absorption and scattering coefficients of thermal barrier coatings,” Acta Mater. 64, 402–410 (2014).
[Crossref]
F. P. Bolin, L. E. Preuss, R. C. Taylor, and R. J. Ference, “Refractive index of some mammalian tissues using a fiber optic cladding method,” Appl. Opt. 28, 2297–2303 (1989).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward average path-length parameter in four-flux radiative transfer models,” Appl. Opt. 36, 3735–3738 (1997).
[Crossref]
W. E. Vargas, “Generalized four-flux radiative transfer model,” Appl. Opt. 37, 2615–2623 (1998).
[Crossref]
C. A. Arancibia-Bulnes and J. C. Ruiz-Suárez, “Average path-length parameter of diffuse light in scattering media,” Appl. Opt. 38, 1877–1883 (1999).
[Crossref]
B. Maheu, J. Briton, and G. Gouesbet, “Four-flux model and a Monte Carlo code: comparisons between two simple, complementary tools for multiple scattering calculations,” Appl. Opt. 28, 22–24(1989).
[Crossref]
L. Simonot, R. D. Hersch, M. Hébert, and S. Mazauric, “Multilayer four-flux matrix model accounting for directional-diffuse light transfers,” Appl. Opt. 55, 27–37 (2016).
[Crossref]
M. I. Mishchenko, “Vector radiative transfer equation for arbitrarily shaped and arbitrarily oriented particles: a microphysical derivation from statistical electromagnetics,” Appl. Opt. 41, 7114–7134(2002).
[Crossref]
L. G. Sokoletsky, V. P. Budak, F. Shen, and A. A. Kokhanovsky, “Comparative analysis of radiative transfer approaches for calculation of plane transmittance and diffuse attenuation coefficient of plane-parallel light scattering layers,” Appl. Opt. 53, 459–468 (2014).
[Crossref]
S. Y. Kotchenova, E. F. Vermote, R. Matarrese, and F. J. Klemm, “Validation of a vector version of the 6S radiative transfer code for atmospheric correction of satellite data. Part I: Path radiance,” Appl. Opt. 45, 6762–6774 (2006).
[Crossref]
P. Mudgett and L. Richards, “Multiple scattering calculations for technology,” Appl. Opt. 10, 1485–1502 (1971).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Applicability conditions of the Kubelka–Munk theory,” Appl. Opt. 36, 5580–5586 (1997).
[Crossref]
B. Maheu, J.-N. Letoulouzan, and G. Gouesbet, “Four-flux models to solve the scattering transfer equation in terms of Lorenz–Mie parameters,” Appl. Opt. 23, 3353–3362 (1984).
[Crossref]
J. Hovenier and C. Van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
A. Schuster, “Radiation through a foggy atmosphere,” Astrophys. J. 21, 1–22 (1905).
[Crossref]
Y. Zhang and J. C. Tan, “Radiation transfer of models of massive star formation. I. Dependence on basic core properties,” Astrophys. J. 733, 55–75 (2011).
[Crossref]
C. Rozé, T. Girasole, and A.-G. Tafforin, “Multilayer four-flux model of scattering, emitting and absorbing media,” Atmos. Environ. 35, 5125–5130 (2001).
[Crossref]
H. J. Mcnicholas, “Absolute methods in reflectometry,” Bur. Stand. J. Res. 1, 29–73 (1928).
[Crossref]
C. Emde, R. Buras-Schnell, A. Kylling, B. Mayer, J. Gasteiger, U. Hamann, J. Kylling, B. Richter, C. Pause, T. Dowling, and L. Bugliaro, “The libRadtran software package for radiative transfer calculations (version 2.0.1),” Geosci. Model Dev. 9, 1647–1672 (2016).
[Crossref]
H. R. Kang, “Applications of color mixing models to electronic printing,” J. Electron. Imaging 3, 276–288 (1994).
[Crossref]
S. Platnick, “Vertical photon transport in cloud remote sensing problems,” J. Geophys. Res. Atmos. 105, 22919–22935 (2000).
[Crossref]
L. Yang and S. J. Miklavcic, “Revised Kubelka–Munk theory. III. A general theory of light propagation in scattering and absorptive media,” J. Opt. Soc. Am. A 22, 1866–1873 (2005).
[Crossref]
R. A. de la Osa, A. G. Alonso, D. Ortiz, F. González, F. Moreno, and J. Saiz, “Extension of the Kubelka–Munk theory to an arbitrary substrate: a Monte Carlo approach,” J. Opt. Soc. Am. A 33, 2053–2060 (2016).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Pigment mass density and refractive index determination from optical measurements,” J. Phys. Condens. Matter 9, 1661–1670 (1997).
[Crossref]
W. E. Vargas and G. A. Niklasson, “Forward-scattering ratios and average pathlength parameter in radiative transfer models,” J. Phys. Condens. Matter 9, 9083–9096 (1997).
[Crossref]
C. Rozé, T. Girasole, G. Gréhan, G. Gouesbet, and B. Maheu, “Average crossing parameter and forward scattering ratio values in four-flux model for multiple scattering media,” Opt. Commun. 194, 251–263 (2001).
[Crossref]
K. Laaksonen, S.-Y. Li, S. Puisto, N. Rostedt, T. Ala-Nissila, C.-G. Granqvist, R. Nieminen, and G. A. Niklasson, “Nanoparticles of TiO2 and VO2 in dielectric media: conditions for low optical scattering, and comparison between effective medium and four-flux theories,” Solar Energy Mater. Sol. Cells 130, 132–137 (2014).
[Crossref]
J. W. Tunnell, A. S. Haka, S. A. McGee, J. Mirkovic, and M. S. Feld, “Diagnostic tissue spectroscopy and its applications to gastrointestinal endoscopy,” Tech. Gastrointest. Endosc. 5, 65–73 (2003).
[Crossref]
V. D.-M. Ž. Barbarić-Mikočević and K. Itrić, “Kubelka–Munk theory in describing optical properties of paper (I),” Teh. Vjesn. 18, 117–124 (2011).
P. Kubelka and F. Munk, “An article on optics of paint layers,” Z. Tech. Phys. 12, 593–601 (1931).
S. Chandrasekhar, Radiative Transfer (Courier, 2013).
J. Beasley, J. Atkins, and F. Billmeyer, “Scattering and absorption of light in turbid media,” in ICES Electromagnetic Scattering (1967), Vol. 63, pp. 765–785.
A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.
E. Hecht, Optics, 5th ed. (Pearson Education, 2017).