title: A non-asymptotic homogenization theory for periodic electromagnetic structures.
abstract: Homogenization of electromagnetic periodic composites is treated as a two-scale problem and solved by approximating the fields on both scales with eigenmodes that satisfy Maxwell's equations and boundary conditions as accurately as possible. Built into this homogenization methodology is an error indicator whose value characterizes the accuracy of homogenization. The proposed theory allows one to define not only bulk, but also position-dependent material parameters (e.g. in proximity to a physical boundary) and to quantify the trade-off between the accuracy of homogenization and its range of applicability to various illumination conditions.
authors.affiliation: Department of Electrical and Computer Engineering , The University of Akron , Akron, OH 44325-3904, USA.
authors.forename: Igor
authors.initials: I
authors.lastname: Tsukerman
authors.affiliation: Department of Radiology , University of Pennsylvania , Philadelphia, PA 19104, USA ; Department of Bioengineering , University of Pennsylvania , Philadelphia, PA 19104, USA ; Graduate Group in Applied Mathematics and Computational Science , University of Pennsylvania , Philadelphia, PA 19104, USA.
authors.forename: Vadim A
authors.initials: VA
authors.lastname: Markel
keywords: Bloch modes; Trefftz approximation; effective medium; homogenization; metamaterials
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