Abstract

Previous studies have shown that the Rozenberg and Pitts-Giovanelli methods are useful alternatives that may be applied to diffusely reflecting samples that fail to conform to the Kubelka-Munk theory. These studies are extended in the present work to include samples of three additional types, namely, those which incorporate the absorber in solid solution within the scattering particles, those in which the absorber is adsorbed on the surface of the scattering particles, and those consisting of a dye spotted on chromatographic papers. No single method of analysis is superior in all cases. Although the Pitts-Giovanelli method gives a much better fit in some cases, it fails to converge in others. For this reason the Kubelka-Munk and Rozenberg methods are preferred, particularly when applied to diffusers in a medium of refractive index <i>n</i> = 1. For such systems the Rozenberg equation reduces to a simple form that is as easy to apply as the Kubelka-Munk equation.

Supercontinuum-laser diffuse reflectance spectroscopy in conjunction with an extended Kubelka–Munk model—a methodology for determination of temperature-dependent quantum efficiency in highly scattering and fluorescent media

Michael C. Brupbacher, Dajie Zhang, William M. Buchta, Marc B. Airola, David M. Brown, Michael E. Thomas, and James B. Spicer
Appl. Opt. 58(10) 2438-2445 (2019)

Light propagation in moderately dense particle systems: a reexamination of the Kubelka-Munk theory

Paul Latimer and Seung Jeong Noh
Appl. Opt. 26(3) 514-523 (1987)

Comparison of the Photon Diffusion Model and Kubelka-Munk Equation with the Exact Solution of the Radiative Transport Equation

L. F. Gate
Appl. Opt. 13(2) 236-238 (1974)

Diffuse Scattered Radiation Theories of Duntley and of Kubelka–Munk

Arthur L. Lathrop
J. Opt. Soc. Am. 55(9) 1097-1104 (1965)

Reflectance spectroscopy: application of the Kubelka-Munk theory to the rates of photoprocesses of powders

E. L. Simmons
Appl. Opt. 15(4) 951-954 (1976)