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Effective Dielectric function of a Composite with Aligned Spheroidal Inclusions

Published online by Cambridge University Press:  25 February 2011

Ruben G. Barrera ,
Jairo Giraldo  and
W. Luis Mochan
Ruben G. Barrera
Affiliation:
Instituto de Física, UNAM, Apdo. Postal 20-364, 01000 México D.F., México
Jairo Giraldo
Affiliation:
Departamento de Fíesica, Universidad Nacional de Colombia, Bogotá, Colombia.
W. Luis Mochan
Affiliation:
Laboratorio de Cuernavaca, Instituto de Física, UNAM, Apartado Postal 139-8, 62190 Cuernavaca, México
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Abstract

The effective dielectric response εM of a composite with aligned spheroidal inclusions is calculated. Using the dipolar and the mean-field approximation (MFA) an analytical expression for εM as a functional of the two-particle distribution function p(2) is obtained. It is shown that previous expressions reported in the literature correspond to different choices of p(2), thus, clarifying the origin of their discrepancies. The theory is further extended beyond the MFA by including the dipolar fluctuations through a renormalization of the polarizability tensor of the inclusions. The absorption peaks are diminished and broadened by the spatial disorder, which also yields an easily identified coupling among electromagnetic modes with perpendicular polarizations.

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References

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