Maxwell-Garnett mixing rule in the presence of multiple scattering: Derivation and accuracy

By P. Mallet, C. Guérin, A. Sentenac. 2005

166 citations recorded by the source corpus.

We give a rigorous and original derivation of the Maxwell-Garnett mixing rule in the dynamical regime for a composite dielectric random medium with small spherical inclusions. For certain configurations of scatterers, we show that contrarily to the common belief, the Maxwell-Garnett formula can remain very accurate at a high concentration of scatterers and incorporate multiple-scattering effects as well as attenuation of the mean field. We provide a realistic numerical example for which this is the case.

Subfields: Acoustics and Ultrasonics, Atomic and Molecular Physics, and Optics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/48c20f1df4b58dedf9ed09bb3f625d04d15238e7