Tunable nonlinear metasurfaces for controlling the propagation of nonlinear waves

Metamaterials which are often periodic arrangement of unit cells, are artificial materials that can manipulate waves in a desirable manner.  These metamaterials can be designed in various shapes and geometries to possess band gaps, or frequency regions, where waves are not allowed to propagate. Once a unit cell geometry is realized, its properties along with its operational frequencies are fixed. Having tunable metamaterials with on-demand property change is desirable. Here, we present a class of metamaterials that takes advantage of geometric and magnetic nonlinearities to tune the propagation of nonlinear waves. The tuning takes place on the level of each unit cell individually, giving rise to vast space of applications.