Optical analog of Matthiessen's rule in a one-dimensional model for diffusive light transport in foams

MirFaez Miri; Sara Kheradsoud; Ebrahim Madadi; Zahra Mokhtari; Hossein Hassani

doi:10.1103/PhysRevE.82.041131

Optical analog of Matthiessen's rule in a one-dimensional model for diffusive light transport in foams

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 1):041131. doi: 10.1103/PhysRevE.82.041131. Epub 2010 Oct 28.

Authors

MirFaez Miri¹, Sara Kheradsoud, Ebrahim Madadi, Zahra Mokhtari, Hossein Hassani

Affiliation

¹ Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran. miri@iasbs.ac.ir

PMID: 21230262
DOI: 10.1103/PhysRevE.82.041131

Abstract

We study photon diffusion in a one-dimensional model foam composed of thin films and Plateau borders. Each thin film or Plateau border is characterized by its own intensity transmittance. We relate l(Foam)*, the transport-mean-free path of photons diffusing in the foam, to the foam microstructure. Denoting by l(Film)* (l(PB)*) the transport-mean-free path of photons in a medium composed only of thin films (Plateau borders), we find 1/l(Foam)*=φ(F)/l(Film)*+φ(P)/l(PB)*. Here φ(F) and φ(P)=1-φ(F) are the fraction of films and Plateau borders, respectively.