Homogenization of Periodically Varying Coefficients in Electromagnetic Materials
Harvey Thomas Banks, Vrushali A. Bokil, Doina Cioranescu, Nathan L. Gibson, Georges Griso, Bernadette Miara · 2005
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. KEY WORDS: Homogenization; Maxwell’s equations; debye dielectric materials; pulsed antenna source microwaves.