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Determination of the effective permittivity of dielectric mixtures with the transmission line matrix methodDetermination of the effective permittivity of dielectric mixtures with the transmission line matrix method

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Determination of the effective permittivity of dielectric mixtures with the transmission line matrix methodDetermination of the effective permittivity of dielectric mixtures with the transmission line matrix method

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dc.contributor.author Navarro Camba, Enrique Antonio
dc.contributor.author Blanchard, Cédric
dc.contributor.author Portí, Jorge A.
dc.contributor.author Morente, Juan A.
dc.contributor.author Salinas, Alfonso
dc.date.accessioned 2010-05-04T07:43:28Z
dc.date.available 2010-05-04T07:43:28Z
dc.date.issued 2007
dc.identifier.citation Cédric Blanchard, PORTÍ, Jorge A. ; MORENTE, Juan A. ; SALINAS, Alfonso ; NAVARRO, Enrique A. Determination of the effective permittivity of dielectric mixtures with the transmission line matrix method. En: Journal of Applied Physics, 2007, vol. 102 en
dc.identifier.uri http://hdl.handle.net/10550/2344
dc.description.abstract In this article, the effective permittivity of two-phase dielectric mixtures is calculated by applying the transmission line matrix (TLM) method. Two slightly different TLM algorithms are considered: a hybrid approach, which combines the TLM method with a subgriding technique based on dual capacitor circuits, to allow a refined description of the material, and a standard or pure TLM approach, which uses a mesh size smaller than the typical dimension of insertions in order to appropriately describe details of the geometry. A study of the statistical distribution of permittivity for insertions in random positions is also presented, showing that the effective permittivity of the mixture tends to concentrate around the mean value as insertions reduce in size. Both TLM techniques are applied to dielectric mixtures in two-dimensional situations. When the concentration of insertions is small, the results are in close agreement with prediction formulae while for higher concentration values, deviations are observed, although basically the results fall within the range predicted by theoretical bounds. Numerical results obtained using the two TLM approaches present a similar qualitative behavior; nevertheless, a clear difference is observed between them. The study of special periodic situations with coated insertions allows us to identify the pure TLM results as more accurate than those of the hybrid approach and also explains why homogeneous distributions provide numerical values close to the theoretical limits. The effects of shape on permittivity are also modeled and deviations to the Wiener bounds are discussed in detail, using two- and three-dimensional examples in practical situations. en_US
dc.language.iso en en
dc.subject Composite materials ; Dielectric materials ; Permittivity ; Transmission line matrix methods en
dc.title Determination of the effective permittivity of dielectric mixtures with the transmission line matrix methodDetermination of the effective permittivity of dielectric mixtures with the transmission line matrix method en
dc.type journal article es_ES
dc.subject.unesco UNESCO::FÍSICA en
dc.identifier.doi 10.1063/1.2779216 en
dc.type.hasVersion VoR es_ES
dc.identifier.url http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JAPIAU000102000006064101000001&idtype=cvips&prog=normal&doi=10.1063/1.2779216 en

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