Floquet defect solitons

Abstract

We consider an array of straight nonlinear waveguides constituting a two-dimensional square lattice, with a few central layers tilted with respect to the rest of the structure. It is shown that such configuration represents a line defect, in the lattice plane, which is periodically modulated along the propagation direction. In the linear limit, such a system sustains line defect modes, whose number coincides with the number of tilted layers. In the presence of nonlinearity the branches of defect solitons propagating along the defect line bifurcate from each of the linear defect modes. Depending on the effective dispersion induced by the Floquet spectrum of the underline system the bifurcating solitons can be either bright or dark. Dynamics and stability of such solitons are studied numerically.

References in corpus (5)

• Topological Photonics
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
• Bragg solitons in topological Floquet insulators