On limitations of conventional approaches to homogenization applied to uniaxial dielectric composite materials

Tom G. Mackay; Akhlesh Lakhtakia; Andrew J. Duncan

doi:10.1117/12.824619

20 August 2009 On limitations of conventional approaches to homogenization applied to uniaxial dielectric composite materials

Tom G. Mackay, Akhlesh Lakhtakia, Andrew J. Duncan

Author Affiliations +

Proceedings Volume 7404, Nanostructured Thin Films II; 740406 (2009) https://doi.org/10.1117/12.824619
Event: SPIE NanoScience + Engineering, 2009, San Diego, California, United States

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.

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Tom G. Mackay, Akhlesh Lakhtakia, and Andrew J. Duncan "On limitations of conventional approaches to homogenization applied to uniaxial dielectric composite materials", Proc. SPIE 7404, Nanostructured Thin Films II, 740406 (20 August 2009); https://doi.org/10.1117/12.824619

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