Abstract
Temporal Talbot phenomena occur when a periodic optical pulse train propagates through a dispersive medium with a proper dispersion amount, which includes integer and fractional orders depending on the dispersion amount. The fractional temporal Talbot (FTT) effect has attracted great interest because of its potentials in repetition rate multiplication of optical pulse train and passive amplification of short pulses. In this paper, we investigate the evolution of amplitude fluctuation in FTT systems from the viewpoint of the frequency-dependent fading of pulse train envelope. It is found that the envelope frequency response of FTT is different from that of integer orders since there is waveform-to-waveform phase profile in the output pulse train in FTT systems. The noise reduction phenomenon in FTT systems is analyzed based on the derived frequency response. A closed-form expression of the noise reduction ratio is derived for the first time based on the analysis of the noise power spectral density. With the given model, we are able to predict the fluctuation suppression effect in FTT systems more precisely.
Highlights
Temporal self-imaging phenomena, referred to as temporal Talbot effect, are the time-domain counterpart of the spatial Talbot effect [1]–[4]
We focus on the evolution of amplitude fluctuation of the output pulse train along the dispersion medium in a fractional temporal Talbot (FTT) system, which is analyzed from the viewpoint of the frequency-dependent fading of pulse train envelope
Compared with the integer temporal Talbot (ITT) effect, the major difference is that the generated pulse train in a FTT system alters the repetition rate and has a phase profile among the output pulses
Summary
Temporal self-imaging phenomena, referred to as temporal Talbot effect, are the time-domain counterpart of the spatial Talbot effect [1]–[4]. The temporal Talbot effect occurs when a periodic temporal signal (for instance, a short pulse train) passes a dispersive medium with a proper dispersion value. In an integer temporal Talbot (ITT) system, the input periodic pulse train is exactly replicated at the output. This feature can be applied for the accurate measurement of dispersion value of a dispersion medium [5], [6]. If a time lens (quadratic phase modulation) is configured preceding the dispersive medium, time-domain compression or stretching of original optical waveforms while keeping their temporal profiles can be achieved [7]–[9]. The FTT effect provides a promising solution to the generation and delivering of optical
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