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
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