Numerical Computation of the Effective Quasistatic Permittivity for Isotropic Lattices of Complex Shaped Inclusions

Abstract

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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Document Details

Document Type
Technical Report
Publication Date
Sep 29, 2000
Accession Number
ADP011596

Entities

People

  • Feng Wu
  • Keith W. Whites

Organizations

  • University of Kentucky

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Charge Density
  • Computations
  • Crystal Lattices
  • Crystal Structure
  • Cubic Lattices
  • Dipole Moments
  • Electric Fields
  • Electrical Engineering
  • Electromagnetic Fields
  • Equations
  • Integral Equations
  • Particles
  • Scattering
  • Technical Information Centers
  • Three Dimensional
  • Two Dimensional
  • United States

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Microwave Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.