Localised bending modes in split ring resonators

Sébastien Guenneau (1, 2) , Alexander Movchan (2) , Natasha Movchan (2)

1 FRESNEL - Institut FRESNEL
2 Department of Maths Sciences

We present band diagrams for in-plane elastic waves propagating within a doubly periodic structure involving split ring resonators (SRR). From the Navier equations we derive that the lowest resonant frequencies are associated with localised bending modes solutions of a fourth-order differential equation in thin-bridges, which are responsible for the appearance of a low frequency stop band. Potential applications lie in the design of earthquake resistant systems.

Mots clés: thin-bridges; elastic split ring resonators; locally resonant structures

Domaines: Optique [physics.optics]

Sébastien Guenneau, Alexander Movchan, Natasha Movchan. Localised bending modes in split ring resonators. Physica B: Condensed Matter, 2007, 394 (2), pp.141-144. ⟨hal-00186678⟩