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
Recommended Citation
Lipton, R., & Schweizer, B. (2018). Effective Maxwell’s Equations for Perfectly Conducting Split Ring Resonators. Archive for Rational Mechanics and Analysis, 229 (3), 1197-1221. https://doi.org/10.1007/s00205-018-1237-1
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