Homogenization of Periodically Varying Coefficients in Electromagnetic Materials

Authors:
H. T. Banks;V. A. Bokil;D. Cioranescu;N. L. Gibson;G. Griso;B. Miara
Affiliations:
Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205;Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205;Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris, Cedex 05, France 75252;Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205;Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris, Cedex 05, France 75252;ESIEE, Laboratoire de Modélisation et Simulation Numérique, Noisy-le-Grand, France 93160
Venue:
Journal of Scientific Computing
Year:
2006

Citing 0
Cited 2

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SIAM Journal on Numerical Analysis
Multiscale Computations for 3D Time-Dependent Maxwell's Equations in Composite Materials

SIAM Journal on Scientific Computing

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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.