Anomalous rt modes by Floquet engineering in optical lattices with long-range coupling

Photonic Floquet topological insulators provide a powerful tool to manipulate the optical fields, which have been extensively studied with only nearest-neighbor coupling. Here, we demonstrate that nontrivial Floquet topological phase and photonic rt modes are brought from long-range coupling in a one-dimensional periodically driven optical lattice. Interestingly, the long-range coupling is found to give rise to new Floquet rt modes that do not exist in the traditional Floquet lattices. We interpret the underlying physics by analyzing the replica bands, which shows quasienergies band crossing and reopening of new nontrivial rt gaps due to the long-range coupling. Our results provide a new route in manipulating optical topological modes by Floquet engineering with long-range coupling.(c) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement