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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Format: | Article |
Language: | English |
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AIP Publishing LLC
2012-09-01
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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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format | Article |
id | doaj.art-d333fe1ad4584edba0e5374fba480208 |
institution | Directory Open Access Journal |
issn | 2158-3226 |
language | English |
last_indexed | 2024-12-23T04:06:55Z |
publishDate | 2012-09-01 |
publisher | AIP Publishing LLC |
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series | AIP Advances |
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 |
work_keys_str_mv | AT allenlgarner predictingeffectivepermittivityofcompositescontainingconductiveinclusionsatmicrowavefrequencies AT gregoryjparker predictingeffectivepermittivityofcompositescontainingconductiveinclusionsatmicrowavefrequencies AT davidelsimone predictingeffectivepermittivityofcompositescontainingconductiveinclusionsatmicrowavefrequencies |