Homogenization of Periodically Varying Coefficients in Electromagnetic Materials

• DOI: 10.1007/s10915-006-9091-y
• Publication Date: 2006-03-12T19:33:41Z
• Authors: H. T. Banks; V. A. Bokil; D. Cioranescu; N. L. Gibson; G. Griso; B. Miara
• Keywords: Homogenization; Debye

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.