A diagrammatic approach to the optical properties of composites

R.G. Barrera, G. Monsivals, W.L. Mochan and E. Anda

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 368-368

Abstract: We formulate a diagrammatic approach for the calculation of the effective dielectric response of a collection of spheres located at random positions and embedded in a homogeneous medium. Through infinite summations of specific classes of diagrams we derive Maxwell Garnett's theory and an expression given by Felderhof, Ford and Cohen [1]. Extending the diagrammatic procedure developed by Matsubara and Toyozawa [2] in their theory of impurity band conduction in semiconductors we obtain an improved version of the Clausius-Mossotti relation with a renormalized polarizability instead of the bare polarizability of the spheres. We compare our results with other theories and with experiment. We also find that the simple theory of a renormalized polarizability in the Maxwell Garnett theory developed by us [3] corresponds to the choice of a specific class of diagrams.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:368-368

DOI: 10.1016/0378-4371(89)90326-9

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