Diffusion of light in turbid media and Kubelka-Munk theory
Disordered Systems and Neural Networks
2023-03-09 v2 Optics
Abstract
We show that the Kubelka-Munk equations for the description of the intensity transfer of light in turbid media are equivalent 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 formulas for these coefficients. We show that the Kubelka-Munk equations are the proper radiative-transfer equations for the one-dimensional diffusion problem and comment on previous attempts to derive the Kubelka-Munk equations.
Keywords
Cite
@article{arxiv.2303.04065,
title = {Diffusion of light in turbid media and Kubelka-Munk theory},
author = {Walter Schirmacher and Giancarlo Ruocco},
journal= {arXiv preprint arXiv:2303.04065},
year = {2023}
}