META 2021, META'12

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Electromagnetic coupling in a planar periodic configuration of resonators
Camille Jouvaud, Julien De Rosny, Abdelwaheb Ourir

Last modified: 2012-01-05


We study the electromagnetic coupling inside an array of 4 by 4 multi-gap split ring resonators. To describe the frequency splitting, we propose a simple model based on the approximation of each resonator as an electrical dipole and a magnetic dipole that are driven by the same complex amplitude. We show that the relative strength of the two dipoles strongly depends on cell symmetry. With this approximation, the dispersion relation can be obtained. The frequency response of the small size array can be also worked out. A singular value decomposition provides a powerful way to deduce the resonant frequencies. These results are conforted by numerical simulations. Finally, an experimental demonstration of a tunable antenna based on this study is presented.