Effective permittivity of materials containing graded ellipsoidal inclusions

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...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2008-11, Vol.66 (1), p.29-35
Main Authors: Giordano, S., Palla, P. L., Colombo, L.
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Dielectric properties of solids and liquids
Dielectrics, piezoelectrics, and ferroelectrics and their properties
Exact sciences and technology
Fluid- and Aerodynamics
Permittivity (dielectric function)
Physics
Physics and Astronomy
Solid State and Materials
Solid State Physics
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Summary: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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2008-00382-7