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Effective dielectric constant of periodic composite materials
Author(s) -
Bruno Sareni,
Laurent Krähenbühl,
Abderrahmane Béroual,
Christian Brosseau
Publication year - 1996
Publication title -
journal of applied physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.699
H-Index - 319
eISSN - 1089-7550
pISSN - 0021-8979
DOI - 10.1063/1.362969
Subject(s) - permittivity , quasistatic process , dielectric , vacuum permittivity , periodic boundary conditions , materials science , limit (mathematics) , mathematical analysis , composite number , phase (matter) , relative permittivity , boundary value problem , mathematics , physics , composite material , quantum mechanics , optoelectronics
We present computer simulation data for the effective permittivity (in the quasistatic limit) of a system composed of discrete inhomogeneities of permittivity e1, embedded in a three-dimensional homogeneous matrix of permittivity e2. The primary purpose of this paper is to study the related issue of the effect of the geometric shape of the components on the dielectric properties of the\udmedium. The secondary purpose is to analyse how the spatial arrangement in these two-phase materials affects the effective permittivity. The structures considered are periodic lattices of inhomogeneities. The numerical method proceeds by an algorithm based upon the resolution of boundary integral equations. Finally, we compare the prediction of our numerical simulation with the effective medium approach and with results of previous analytical works and numerical experiments

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