Abstract
We investigate the discrete temporal Talbot effect in a synthetic mesh lattice by employing two coupled fiber loops with different lengths. The lattice consists of the round-trip number and time delay of pulse trains propagating in the fiber loops. The Talbot effect occurs only as the incident pulse train in one loop has a temporal period that is 1, 2, or 4 folds of time interval corresponding to the length difference of the two loops. By varying the splitting ratio of coupler connecting the two loops, the lattice band structure can be engineered and so do the Talbot distance, which can be further tuned by imposing an initial linear phase distribution on the incident pulse train. In addition, the incident periods for Talbot effect can also be fractional fold by using time multiplexing. The study may find applications in temporal cloaking, passive amplifying, and pulse repetition rate multiplication.
Highlights
Talbot effect refers to self-imaging phenomena as the periodic structure is illuminated by a coherent light beam, which was firstly reported by H
The processes can realize the intensity redistribution of the pulse train, which can be applied to the pulse repetition rate multiplication from integer to fractional Talbot distance and pulse amplification vice versa
We have investigated the discrete temporal Talbot effect in the synthetic mesh lattice based on two coupled fiber loops
Summary
Talbot effect refers to self-imaging phenomena as the periodic structure is illuminated by a coherent light beam, which was firstly reported by H. Due to the analogy between spatial Fresnel diffraction and second-order temporal dispersion, the Talbot effect can be extended to time domain aiming to realize recurrence of periodic pulse trains [6,7]. The synthetic temporal mesh lattice based on two coupled fiber loops with slightly different length has been proposed to realize large-scale PT-symmetry networks and the measurements of topological invariants [27,30]. We shall investigate the discrete temporal Talbot effect in the synthetic mesh lattice constructed by two coupled fiber loops. By changing the splitting ratio of the coupler that connects the two fiber loops, the band structure of synthetic mesh lattice can be engineered, resulting in the variation of Talbot distance. The Talbot effect can be observed even if the incident period of pulse train becomes fractional fold of the lattice period. The unique features in the temporal mesh lattice are hard to obtain in the spatial counterparts
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