Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies

We predict the effective dielectric properties at microwave frequencies of composites containing various volume loadings of high conductivity (stainless steel or iron) spheres or flakes by adapting the semi-empirical method developed by McLachlan. Rather than the typical approach of fixing A (A = 1/...

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Main Authors: Allen L. Garner, Gregory J. Parker, Davide L. Simone
Format: Article
Language:English
Published: AIP Publishing LLC 2012-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4738954
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author Allen L. Garner
Gregory J. Parker
Davide L. Simone
author_facet Allen L. Garner
Gregory J. Parker
Davide L. Simone
author_sort Allen L. Garner
collection DOAJ
description We predict the effective dielectric properties at microwave frequencies of composites containing various volume loadings of high conductivity (stainless steel or iron) spheres or flakes by adapting the semi-empirical method developed by McLachlan. Rather than the typical approach of fixing A (A = 1/vc – 1, where vc is percolation threshold) for a given inclusion shape, we consider it as an unknown and fix one of the geometric exponents. We observe that A varies linearly with the inverse of volume loading with a higher slope for flakes than spheres. The exponent is consistently higher for spheres than flakes and for iron than stainless steel. We achieve good agreement between measured and calculated permittivity over a wide range of volume loadings, inclusion shapes, and materials from 3 to 20 GHz.
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spelling doaj.art-d333fe1ad4584edba0e5374fba4802082022-12-21T18:00:36ZengAIP Publishing LLCAIP Advances2158-32262012-09-0123032109032109-610.1063/1.4738954009203ADVPredicting effective permittivity of composites containing conductive inclusions at microwave frequenciesAllen L. Garner0Gregory J. Parker1Davide L. Simone2GE Global Research Center, 1 Research Circle, Niskayuna, New York 12309, USAGE Global Research Center, 1 Research Circle, Niskayuna, New York 12309, USAGE Global Research Center, 1 Research Circle, Niskayuna, New York 12309, USAWe predict the effective dielectric properties at microwave frequencies of composites containing various volume loadings of high conductivity (stainless steel or iron) spheres or flakes by adapting the semi-empirical method developed by McLachlan. Rather than the typical approach of fixing A (A = 1/vc – 1, where vc is percolation threshold) for a given inclusion shape, we consider it as an unknown and fix one of the geometric exponents. We observe that A varies linearly with the inverse of volume loading with a higher slope for flakes than spheres. The exponent is consistently higher for spheres than flakes and for iron than stainless steel. We achieve good agreement between measured and calculated permittivity over a wide range of volume loadings, inclusion shapes, and materials from 3 to 20 GHz.http://dx.doi.org/10.1063/1.4738954
spellingShingle Allen L. Garner
Gregory J. Parker
Davide L. Simone
Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
AIP Advances
title Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
title_full Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
title_fullStr Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
title_full_unstemmed Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
title_short Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
title_sort predicting effective permittivity of composites containing conductive inclusions at microwave frequencies
url http://dx.doi.org/10.1063/1.4738954
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