Numerical Computation of the Effective Quasistatic Permittivity for Isotropic Lattices of Complex Shaped Inclusions
KENTUCKY UNIV LEXINGTON DEPT OF ELECTRICAL ENGINEERING
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A technique is presented for the accurate computation of the effective quasistatic permittivity of lattices containing particles with potentially complicated shape. This technique is based on the moment method for the computation of the electric dipole moments of the dielectric or conducting particles. Through proper homogenization of the lattice, a simple formula for the effective permittivity is given in terms of these particle dipole moments. Verification data is presented for lattices of dielectric spheres obtained with the T-matrix method. Results are shown for lattices of dielectric cubes. Mutual interaction between the edges and corners of such a lattice combine to reduce the effective permittivity to values near the lower Hashin-Shtrikman bound.
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