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.
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Communicated by G. Friesecke
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Lipton, R., Schweizer, B. Effective Maxwell’s Equations for Perfectly Conducting Split Ring Resonators. Arch Rational Mech Anal 229, 1197–1221 (2018). https://doi.org/10.1007/s00205-018-1237-1
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DOI: https://doi.org/10.1007/s00205-018-1237-1