Homogenization of Periodically Varying Coefficients in Electromagnetic Materials

Homogenization Debye
DOI: 10.1007/s10915-006-9091-y Publication Date: 2006-03-12T19:33:41Z
ABSTRACT
In this paper, we employ the periodic unfolding method for simulating the electromagnetic field in a composite material exhibiting heterogeneous microstructures which are described by spatially periodic parameters. We consider cell problems to calculate the effective parameters for a Debye dielectric medium in the case of a circular microstructure in two dimensions. We assume that the composite materials are quasi-static in nature, i.e., the wavelength of the electromagnetic field is much larger than the relevant dimensions of the microstructure.
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