Multistability and localization in coupled nonlinear split-ring resonators

TL;DR

This paper investigates the nonlinear dynamics of coupled split-ring resonators, revealing multistability and energy localization, which enhance tunability and control in metamaterial applications.

Contribution

It demonstrates how nonlinearity enables multiple stable states and energy localization in coupled resonators, expanding the functional capabilities of metamaterials.

Findings

Nonlinear split-ring resonators exhibit multistability.

Energy can be almost totally localized in one resonator.

Nonlinearity enhances real-time tunability.

Abstract

We study the dynamics of a pair of nonlinear split-ring resonators (a `metadimer') excited by an alternating magnetic field and coupled magnetically. Linear metadimers of this kind have been recently used as the elementary components for three-dimensional metamaterials or 'stereometamaterials' [N. Liu {\em et al}, Nature Photon. {\bf 3}, 157 (2009)]. We demonstrate that nonlinearity offers more possibilities with respect to real-time tunability and a multiplicity of states which can be reached by varying the external field. Moreover, we demonstrate almost total localization of the energy in one of the resonators in a broad range of parameters.