2023/03/07 by Schirmacher, Walter, Ruocco, Giancarlo
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Optics (physics.optics)
paper · doi:10.48550/arxiv.2303.04065
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.