Document Type

Article

Publication Date

9-1-2018

Abstract

We analyze the time harmonic Maxwell’s equations in a geometry containing perfectly conducting split rings. We derive the homogenization limit in which the typical size η of the rings tends to zero. The split rings act as resonators and the assembly can act, effectively, as a magnetically active material. The frequency dependent effective permeability of the medium can be large and/or negative.

Publication Source (Journal or Book title)

Archive for Rational Mechanics and Analysis

First Page

1197

Last Page

1221

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