Effective dielectric constant of a two-component material with shape 
distribution

Gao, L.; Gu, J. Z.

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Effective dielectric constant of a two-component material with shape distribution

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Gu, J. Z.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Gao, L., & Gu, J. Z. (2002). Effective dielectric constant of a two-component material with shape distribution. Journal of Physics D-Applied Physics, 35(3), 267-271.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-83D0-1

Abstract

The effective dielectric constant of a two-component material is investigated. By considering the shape distribution of the components, we derive Maxwell-Garnett-type approximation, which has been established based on the reciprocity theorem (del Rio J A et al 1998 Solid State Commun. 106 183). Based on a self- consistent condition on the electric field (Bruggeman-type effective medium approximation), we obtain the well-known Lichtenecker's mixture formulae with alpha = 1/2. Moreover, we derive the differential effective medium approximation by taking into account the shape distribution. All these formulae are checked through the spectral density function and compared with previous bounds.