Meny

Du är här

Homogenization of spherical inclusions

Publiceringsår: 2002
Språk: Engelska
Sidor: 22
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7102)/1-22/(2002)
Dokumenttyp: Rapport
Ytterligare information: Published version: Electromagnetic Waves PIER 42, Ed. J.A. Kong, pp. 1-25, EMW Publishing, Cambridge, Massachusetts, USA, 2003.

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.

Disputation

Nyckelord

  • Technology and Engineering

Övriga

Published
TEAT-7102
  • Electromagnetic theory

Box 117, 221 00 LUND
Telefon 046-222 00 00 (växel)
Telefax 046-222 47 20
lu [at] lu [dot] se

Fakturaadress: Box 188, 221 00 LUND
Organisationsnummer: 202100-3211
Om webbplatsen