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On limitations of the Bruggeman formalism for inverse homogenization

Jamaian, Siti S. and Mackay, Tom G. (2010) On limitations of the Bruggeman formalism for inverse homogenization. Journal of Nanophotonics, 4 (1). pp. 1-7. ISSN 19342608


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Official URL: DOI:10.1117/1.3460908


The Bruggeman formalism provides an estimate EBrhcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities Ea and Eb. It can be inverted to provide an estimate of Ea, from a knowledge of EBrhcm and Eb. Numerical studies show that the inverse Bruggeman estimate Ea can be physically implausible when (i) Re {EBrhcm} /Re {Eb} > 0 and the degree of HCM dissipation is moderate or greater; or (ii) Re{EBrhcm} / Re {Eb} < 0 regardless of the degree of HCM dissipation. Furthermore, even when the inverse Bruggeman estimate is not obviously implausible, huge discrepancies can exist between this estimate and the corresponding estimate provided by the inverse Maxwell Garnett formalism.

Item Type: Article
Uncontrolled Keywords: Bruggeman; Maxwell Garnett; inverse homogenization; metamaterials
Subjects: Q Science > QC Physics
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 13 Aug 2018 03:33
Last Modified: 13 Aug 2018 03:33
URI: http://eprints.uthm.edu.my/id/eprint/9639
Statistic Details: View Download Statistic

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