Effective medium theories for artificial materials composed of multiple sizes of spherical inclusions in a host continuum

William M. Merrill, Rodolfo Diaz, Michael M. Lore, Mark C. Squires, Nicolaos G. Alexopoulos

Research output: Contribution to journalArticle

114 Citations (Scopus)

Abstract

This presents the application of nonempirical effective medium theories to describe composite mixtures of spherical inclusions within a host continuum. It is shown that the most common effective medium theories collapse into Bruggeman's asymmetric formula when they are implemented in an iterative scheme to extend their validity to higher volume fractions. Comparisons of dc and 4-GHz data show that of all the formulas Bruggeman's asymmetric formula corresponds best with experiment for large differences between the complex permittivities of the host and inclusion materials. Permeability values are also formulated and compared with experiment and a simple scheme is considered to extend the effective medium theories herein to a description of the diamagnetic effect of induced current in metal spherical inclusions.

Original languageEnglish (US)
Pages (from-to)142-148
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Volume47
Issue number1
DOIs
StatePublished - Jan 1 1999
Externally publishedYes

Fingerprint

inclusions
continuums
Induced currents
Volume fraction
permeability
Permittivity
Experiments
permittivity
composite materials
Composite materials
Metals
metals

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

Effective medium theories for artificial materials composed of multiple sizes of spherical inclusions in a host continuum. / Merrill, William M.; Diaz, Rodolfo; Lore, Michael M.; Squires, Mark C.; Alexopoulos, Nicolaos G.

In: IEEE Transactions on Antennas and Propagation, Vol. 47, No. 1, 01.01.1999, p. 142-148.

Research output: Contribution to journalArticle

Merrill, William M. ; Diaz, Rodolfo ; Lore, Michael M. ; Squires, Mark C. ; Alexopoulos, Nicolaos G. / Effective medium theories for artificial materials composed of multiple sizes of spherical inclusions in a host continuum. In: IEEE Transactions on Antennas and Propagation. 1999 ; Vol. 47, No. 1. pp. 142-148.
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