Renormalized polarizability in the Maxwell Garnett theory

R.G. Barrera, G. Monsivais, W.L. Mochan and M. Del Castillo

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 369-369

Abstract: We develop a simple theory for the effective dielectric function of a system of identical spheres embedded in a homogeneous matrix within the dipolar long-wavelength approximation. We obtain a relationship analogous to the Clausius-Mossotti relation but with a renormalized polarizability for the spheres instead of the bare polarizability. This renormalized polarizability depends on the bare polarizability, the volume fraction and a functional of the two-particle correlation function of the spheres, and obeys a second order algebraic equation. We calculate the optical properties of metallic spheres within an insulating matrix and compare our results with previous theories and with experiment. We obtain a closed analytical form of the spectral function and check that it obeys Bergman's sum rules [1].

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:369-369

DOI: 10.1016/0378-4371(89)90327-0

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