The role of anisotropy in the Maxwell Garnett and Bruggeman formalisms for uniaxial particulate composite media

Akhlesh Lakhtakia, Bernhard Michel, Werner S. Weiglhofer

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A particulate composite medium in which the host and the spherical inclusions are made of uniaxial dielectric-magnetic media with parallel crystallographic axes is considered. The polarizability dyadics of a single inclusion are obtained, showing in detail the significant role played therein by the degree of anisotropy of the host medium. The derived expressions are used to set up the Maxwell Garnett and the Bruggeman formalisms for homogenization of the particulate composite medium. Numerical results are presented to show that the degree of anisotropy of the homogenized composite medium (HCM) is a non-trivial function of the degrees of anisotropy of the constituent media. Shifts in axial and transverse Fröhlich resonances are also predicted.

Original languageEnglish (US)
Pages (from-to)230-240
Number of pages11
JournalJournal of Physics D: Applied Physics
Volume30
Issue number2
DOIs
StatePublished - Jan 21 1997

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particulates
Anisotropy
anisotropy
composite materials
Composite materials
inclusions
dyadics
homogenizing
shift

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films

Cite this

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abstract = "A particulate composite medium in which the host and the spherical inclusions are made of uniaxial dielectric-magnetic media with parallel crystallographic axes is considered. The polarizability dyadics of a single inclusion are obtained, showing in detail the significant role played therein by the degree of anisotropy of the host medium. The derived expressions are used to set up the Maxwell Garnett and the Bruggeman formalisms for homogenization of the particulate composite medium. Numerical results are presented to show that the degree of anisotropy of the homogenized composite medium (HCM) is a non-trivial function of the degrees of anisotropy of the constituent media. Shifts in axial and transverse Fr{\"o}hlich resonances are also predicted.",
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The role of anisotropy in the Maxwell Garnett and Bruggeman formalisms for uniaxial particulate composite media. / Lakhtakia, Akhlesh; Michel, Bernhard; Weiglhofer, Werner S.

In: Journal of Physics D: Applied Physics, Vol. 30, No. 2, 21.01.1997, p. 230-240.

Research output: Contribution to journalArticle

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