On limitations of the Bruggeman formalism for inverse homogenization

Siti Suhana Jamaian; Tom G. Mackay

doi:10.1117/1.3460908

1 June 2010 On limitations of the Bruggeman formalism for inverse homogenization

Siti Suhana Jamaian, Tom G. Mackay

Author Affiliations +

Journal of Nanophotonics, Vol. 4, Issue 1, 043510 (June 2010). https://doi.org/10.1117/1.3460908

Abstract

The Bruggeman formalism provides an estimate ε^Br_hcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities ε_a and ε_b. It can be inverted to provide an estimate of ε_a, from a knowledge of ε^Br_hcm and ε_b. Numerical studies show that the inverse Bruggeman estimate ε_a can be physically implausible when (i) Re{ε^Br_hcm}/Re {ε_b} > 0 and the degree of HCM dissipation is moderate or greater; or (ii) Re{ε^Br_hcm}/Re {ε_b} < 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.

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Siti Suhana Jamaian and Tom G. Mackay "On limitations of the Bruggeman formalism for inverse homogenization," Journal of Nanophotonics 4(1), 043510 (1 June 2010). https://doi.org/10.1117/1.3460908

Published: 1 June 2010

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