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Proceedings Paper

On limitations of conventional approaches to homogenization applied to uniaxial dielectric composite materials
Author(s): Tom G. Mackay; Akhlesh Lakhtakia; Andrew J. Duncan
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Paper Abstract

Under certain conditions, the Bruggeman formalism yields estimates of the effective constitutive parameters of homogenized composite materials (HCMs) which are physically implausible. Furthermore, under these conditions, the generalized Hashin-Shtrikman bounds (which are equivalent to the estimates of the effective constitutive parameters of the HCMs provided by the Maxwell Garnett formalism) exhibit strong resonances. The conditions are that (i) the real parts of the constitutive parameters of the constituent materials have opposite signs; and (ii) the constituent materials are weakly dissipative. These limitations - which we had previously established for isotropic dielectric HCMs - are shown to afflict uniaxial dielectric HCMs.

Paper Details

Date Published: 20 August 2009
PDF: 7 pages
Proc. SPIE 7404, Nanostructured Thin Films II, 740406 (20 August 2009); doi: 10.1117/12.824619
Show Author Affiliations
Tom G. Mackay, Univ. of Edinburgh (United Kingdom)
The Pennsylvania State Univ. (United States)
Akhlesh Lakhtakia, The Pennsylvania State Univ. (United States)
Andrew J. Duncan, Univ. of Edinburgh (United Kingdom)


Published in SPIE Proceedings Vol. 7404:
Nanostructured Thin Films II
Geoffrey B. Smith; Akhlesh Lakhtakia; Cheng-Chung Lee, Editor(s)

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