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Homogenization of composite electrets

Published online by Cambridge University Press:  13 June 2015

YOUCEF AMIRAT  and
VLADIMIR V. SHELUKHIN
YOUCEF AMIRAT
Affiliation:
Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal, 63177 Aubière Cedex, France email: Youcef.Amirat@math.univ-bpclermont.fr
VLADIMIR V. SHELUKHIN
Affiliation:
Lavrentyev Institute of Hydrodynamics, Lavrentyev pr. 15, Novosibirsk 630090 and Novosibirsk State University, Russia email: shelukhin@hydro.nsc.ru
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Abstract

We study the two-scale homogenization of the diffraction interfacial condition for the diffusion equation relevant to a composite medium which has a periodic structure. The results are applied to the electric field potential within a dielectric composite body when there is a difference in dielectric permittivity between the composite components in the presence of interfacial static charges. The principal result is that the interfacial charge distribution is equivalent to an apparent bulk charge which can be calculated starting from the composite geometry. We perform the corrector analysis and establish that the corrector terms strongly depend on the interfacial charge.

Keywords

Electret compositeinterfacial and bulk chargestwo-scale convergencecorrectors
Type
Papers
Information
European Journal of Applied Mathematics , Volume 28 , Issue 2 , April 2017 , pp. 261 - 283
Copyright
Copyright © Cambridge University Press 2016 

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