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Effective permittivity of materials containing graded ellipsoidal inclusions

  • Solid State and Materials
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Abstract

We prove a generic theorem stating the equivalence between a graded dielectric ellipsoid (with gradation along a family of internal confocal ellipsoids) and an anisotropic homogeneous ellipsoid. We then describe a procedure to obtain the three principal permittivities of the effective ellipsoid for any given dielectric gradation profile. Finally, we apply a multiscale approach to homogenize dispersions of ellipsoidal graded particles.

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Authors and Affiliations

  1. Department of Physics, University of Cagliari, Cittadella Universitaria, 09042, Monserrato (Ca), Italy

    S. Giordano, P. L. Palla & L. Colombo

  2. Sardinian Laboratory for Computational Materials Science (SLACS, INFM-CNR), Cittadella Universitaria, 09042, Monserrato (Ca), Italy

    S. Giordano, P. L. Palla & L. Colombo

Authors
  1. S. Giordano
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  2. P. L. Palla
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  3. L. Colombo
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Correspondence to S. Giordano.

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Giordano, S., Palla, P. & Colombo, L. Effective permittivity of materials containing graded ellipsoidal inclusions. Eur. Phys. J. B 66, 29–35 (2008). https://doi.org/10.1140/epjb/e2008-00382-7

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  • DOI: https://doi.org/10.1140/epjb/e2008-00382-7

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