Homogenization of Periodically Varying Coefficients in Electromagnetic Materials

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 cases of circular and square microstructures 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.

• Type: Journal
• Year: 2006
• Where: JSCIC
• Authors: H. T. Banks, V. A. Bokil, D. Cioranescu, Nathan L. Gibson, G. Griso, B. Miara
• Keywords: Composite Materials, Electromagnetic Field, JSCIC 2006, Periodic Unfolding Method