Homogenization of similarly oriented, metallic, ellipsoidal inclusions using the Bruggeman formalism

Joseph A. Sherwin, Akhlesh Lakhtakia, Bernhard Michel

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The effective relative permittivity dyadic of a composite material made by randomly embedding parallel, ellipsoidal, isotropic, metallic inclusions in an homogeneous, isotropic, dielectric host material is computed using the Bruggeman formalism with exact depolarization dyadics. Numerical calculations carried out for iron inclusions at 670 nm free-space wavelength indicate that the inclusion volume fraction at the percolation threshold is direction-dependent, being lower in those directions that the ellipsoids have longer extents. When the longest principal semi-axis of an ellipsoidal inclusion exceeds a certain relative size - about three to five times as large as the other two principal semi-axes - the Bruggeman estimate of the effective permittivity along this direction does not indicate a percolation threshold, becoming merely a simple weighting of the permittivities of the two materials in relation to their volume fractions.

Original languageEnglish (US)
Pages (from-to)267-273
Number of pages7
JournalOptics Communications
Volume178
Issue number4
DOIs
StatePublished - May 15 2000

Fingerprint

homogenizing
inclusions
formalism
dyadics
Permittivity
permittivity
Volume fraction
thresholds
Depolarization
ellipsoids
depolarization
embedding
Iron
iron
Wavelength
composite materials
Composite materials
estimates
wavelengths
Direction compound

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering

Cite this

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Homogenization of similarly oriented, metallic, ellipsoidal inclusions using the Bruggeman formalism. / Sherwin, Joseph A.; Lakhtakia, Akhlesh; Michel, Bernhard.

In: Optics Communications, Vol. 178, No. 4, 15.05.2000, p. 267-273.

Research output: Contribution to journalArticle

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