Title: Diffusion of light in turbid media with internal reflections
Author(s):

	W. Schirmacher (Institut für Physik, Staudinger Weg 7, Universität Mainz, D-55099 Mainz, Germany; Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 295 Viale Regina Elena, I-00161, Roma, Italy),
	G. Ruocco (Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 295 Viale Regina Elena, I-00161, Roma, Italy; Dipartimento di Fisica, Universitá di Roma ``La Sapienza'', P'le Aldo Moro 5, I-00185, Roma, Italy)

We relate the the Kubelka-Munk equations for the description of the intensity transfer of light in turbid media 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 formulae for these coefficients. We show that the Kubelka-Munk equations are the proper radiative-transfer equations for the one-dimensional diffusion problem.

Key words: diffusion, turbid media, transfer equations

Full text [pdf]

<< List of papers