Making a meta-surface soliton-ready

Abstract Metamaterials attracted significant attention due to their unprecedented properties in the electromagnetic domain. However, they are facing challenges while putting for applications due to the strong dispersion associated with the resonant responses and high losses. In this communication, we present a path to overcome these problems by turning the propagating electromagnetic wave into a soliton wave that can sustain dispersion and loss. For theoretical demonstration, we considered a hybrid 2D metamaterial that consists of arrays of split-ring resonators on a graphene layer. We identified the parametric region that ensures dispersion and loss less propagation of electromagnetic wave in form of a dissipative soliton. This approach can be applied to a large variety of metamaterials and metasurfaces for which a set of coupled rate equation is available.