Research Papers

On limitations of the Bruggeman formalism for inverse homogenization

[+] Author Affiliations
Siti Jamaian, Tom G. Mackay

University of Edinburgh, School of Mathematics and Maxwell Institute for Mathematical Science, James Clerk Maxwell Building, King's Buildings, Edinburgh, Scotland EH9 3JZ United Kingdom

J. Nanophoton. 4(1), 043510 (June 16, 2010). doi:10.1117/1.3460908
History: Received April 27, 2010; Revised May 31, 2010; Accepted June 9, 2010; June 16, 2010; Online June 16, 2010
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Abstract

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

© 2010 Society of Photo-Optical Instrumentation Engineers

Citation

Siti Jamaian and Tom G. Mackay
"On limitations of the Bruggeman formalism for inverse homogenization", J. Nanophoton. 4(1), 043510 (June 16, 2010). ; http://dx.doi.org/10.1117/1.3460908


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