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Homogenization of spherical inclusions

Författare:
Publiceringsår: 2003
Språk: Engelska
Sidor: 1-25
Publikation/Tidskrift/Serie: Progress in Electromagnetics Research-Pier
Volym: PIER 42
Dokumenttyp: Artikel i tidskrift
Förlag: EMW Publishing

Sammanfattning

The homogenization of cubically arranged, homogeneous

spherical inclusions in a background material is addressed. This is

accomplished by the solution of a local problem in the unit cell.

An exact series representation of the effective relative permittivity of

the heterogeneous material is derived, and the functional behavior

for small radii of the spheres is given. The solution is utilizing

the translation properties of the solutions to the Laplace equation

in spherical coordinates. A comparison with the classical mixture

formulas, e.g., the Maxwell Garnett formula, the Bruggeman formula,

and the Rayleigh formula, shows that all classical mixture formulas

are correct to the first (dipole) order, and, moreover, that the Maxwell

Garnett formula predicts several higher order terms correctly. The

solution is in agreement with the Hashin-Shtrikman limits.

Nyckelord

  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Other Electrical Engineering, Electronic Engineering, Information Engineering

Övriga

Published
  • Electromagnetic theory-lup-obsolete
  • ISSN: 1070-4698

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