Maxwell-Garnett mixing rule in the presence of multiple scattering: Derivation and accuracy
Author(s) -
Pierre Mallet,
CharlesAntoine Guérin,
Anne Sentenac
Publication year - 2005
Publication title -
physical review b
Language(s) - English
Resource type - Journals
eISSN - 1538-4489
pISSN - 1098-0121
DOI - 10.1103/physrevb.72.014205
Subject(s) - mixing (physics) , scattering , attenuation , physics , dielectric , maxwell's equations , statistical physics , condensed matter physics , classical mechanics , optics , quantum mechanics
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
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