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Complex effective permittivity of a lossy composite material

Sareni, Bruno and Krähenbühl, Laurent and Beroual, Abderrahmane and Brosseau, Christian Complex effective permittivity of a lossy composite material. (1996) Journal of Applied Physics, 80 (8). 4560-4565. ISSN 0021-8979

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Official URL: http://dx.doi.org/10.1063/1.363438


In recent work, boundary integral equations and finite elements were used to study the (real) effective permittivity for two-component dense composite materials in the quasistatic limit. In the present work, this approach is extended to investigate in detail the role of losses. We consider the special but important case of the axisymmetric configuration consisting of infinite circular cylinders (assumed to be parallel to the z axis and of permittivity e1) organized into a crystalline arrangement (simple square lattice) within a homogeneous background medium of permittivity e2=1. The intersections of the cylinders with the x – y plane form a periodic two-dimensional structure. We carried out simulations taking e15320.03i or e1=3-0.03i and e2=1. The concentration dependence of the loss tangent of the composite material can be fitted very well, at low and intermediate concentrations of inhomogeneities, with a power law. In the case at hand, it is found that the exponent parameter depends significantly on the ratio of the real part of the permittivity of the components. We argue, moreover, that the numerical results discussed here are consistent with the Bergman and Milton theory.

Item Type:Article
Additional Information:Thanks to American Institute of Physics editor. The definitive version is available at http://dx.doi.org/10.1063/1.363438
Audience (journal):International peer-reviewed journal
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Institution:Other partners > Institut National des Sciences Appliquées de Lyon - INSA (FRANCE)
Other partners > Université de Bretagne Occidentale - UBO (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Ecole Centrale de Lyon (FRANCE)
Other partners > Université de Bretagne Sud - UBS (FRANCE)
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Deposited On:13 Dec 2012 10:07

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