On limitations of the Bruggeman formalism for inverse homogenization

The Bruggeman formalism provides an estimate �Br hcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities �a and �b. It can be inverted to provide an estimate of �a, from a knowledge of �Br hcm and �b. Numerica...

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Main Authors: Jamaian, Siti S., Mackay, Tom G.
Format: Article
Language:English
Published: SPIE 2010
Subjects:
Online Access:http://eprints.uthm.edu.my/7855/1/J13_8231025d14304ad36e4101e993342c62.pdf
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author Jamaian, Siti S.
Mackay, Tom G.
author_facet Jamaian, Siti S.
Mackay, Tom G.
author_sort Jamaian, Siti S.
collection UTHM
description The Bruggeman formalism provides an estimate �Br hcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities �a and �b. It can be inverted to provide an estimate of �a, from a knowledge of �Br hcm and �b. Numerical studies show that the inverse Bruggeman estimate �a can be physically implausible when (i) Re � �Br hcm� /Re {�b} > 0 and the degree of HCM dissipation is moder�ate or greater; or (ii) Re � �Br hcm� / Re {�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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spelling uthm.eprints-78552022-10-17T06:16:49Z http://eprints.uthm.edu.my/7855/ On limitations of the Bruggeman formalism for inverse homogenization Jamaian, Siti S. Mackay, Tom G. T Technology (General) The Bruggeman formalism provides an estimate �Br hcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities �a and �b. It can be inverted to provide an estimate of �a, from a knowledge of �Br hcm and �b. Numerical studies show that the inverse Bruggeman estimate �a can be physically implausible when (i) Re � �Br hcm� /Re {�b} > 0 and the degree of HCM dissipation is moder�ate or greater; or (ii) Re � �Br hcm� / Re {�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. SPIE 2010 Article PeerReviewed text en http://eprints.uthm.edu.my/7855/1/J13_8231025d14304ad36e4101e993342c62.pdf Jamaian, Siti S. and Mackay, Tom G. (2010) On limitations of the Bruggeman formalism for inverse homogenization. Journal of Nanophotonics, 4. pp. 1-8.
spellingShingle T Technology (General)
Jamaian, Siti S.
Mackay, Tom G.
On limitations of the Bruggeman formalism for inverse homogenization
title On limitations of the Bruggeman formalism for inverse homogenization
title_full On limitations of the Bruggeman formalism for inverse homogenization
title_fullStr On limitations of the Bruggeman formalism for inverse homogenization
title_full_unstemmed On limitations of the Bruggeman formalism for inverse homogenization
title_short On limitations of the Bruggeman formalism for inverse homogenization
title_sort on limitations of the bruggeman formalism for inverse homogenization
topic T Technology (General)
url http://eprints.uthm.edu.my/7855/1/J13_8231025d14304ad36e4101e993342c62.pdf
work_keys_str_mv AT jamaiansitis onlimitationsofthebruggemanformalismforinversehomogenization
AT mackaytomg onlimitationsofthebruggemanformalismforinversehomogenization