Four-wave mixing Floquet topological soliton

Abstract

We consider a topological Floquet insulator realized as a honeycomb array of helical waveguides imprinted in weakly birefringent medium. The system accounts for four-wave mixing occurring at a series of resonances arising due to Floquet phase matching. Under these resonant conditions, the system sustains stable linearly polarized and metastable elliptically polarized two-component edge solitons. Coupled nonlinear equations describing evolution of the envelopes of such solitons are derived.

References in corpus (3)

• Topological Photonics
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
• Bragg solitons in topological Floquet insulators