Talbot effects in Floquet synthetic mesh lattices

Abstract

We numerically investigate the temporal Talbot recurrence in Floquet synthetic mesh lattices (SMLs) realized by two mutually-coupled fiber loops. By introducing periodic phase modulation along the longitudinal direction, we generate Floquet SMLs, where Talbot revival can be achieved by injecting a periodic pulse train. The existence of the Talbot effect is closely related to the Floquet period, the interval of the injected pulses, and the initial phase of the input light. The Talbot distance can be modulated by the periodic phases. However, once the pulse interval and initial phase of the input light satisfy the Talbot condition, the Talbot distance is fixed. At this point, changing the splitting ratio of the fiber coupler has no impact on the Talbot distance of the system. This study contributes to the understanding of Talbot effects in Floquet systems and has potential applications in temporal cloaking, pulse repetition rate multiplication, passive amplification, and photonic filtering.