1：Experimental Design and Method Selection:

The study employs a regenerative Talbot laser setup comprising a frequency-shifting loop (FSL), a seed laser, and a regenerative RF feedback loop. The FSL includes an acousto-optic frequency shifter (AOFS), a semiconductor optical amplifier (SOA), a Mach Zehnder modulator (MZM), a circulator with a Bragg bandpass filter, and a coupler. The regenerative RF loop modulates the losses of the FSL at the repetition rate of the pulse train.

2：Sample Selection and Data Sources:

The experiment uses a tunable CW laser at 1560 nm, with second harmonic generation to produce injection light at 780 nm. The FSL is about 15 m long with ~15 dB of losses per round-trip.

3：List of Experimental Equipment and Materials:

Equipment includes an AOFS (AA Optoelectronic), SOA (INNOLUME), MZM (EOSPACE), fast photodiode (EOT), RF amplifier, and RF filter.

4：Experimental Procedures and Operational Workflow:

The setup involves tuning the AOFS frequency to select the Talbot condition, adjusting the SOA gain, and synchronizing the modulation signal with the pulse train in the FSL using a RF variable delay line.

5：Data Analysis Methods:

The phase noise of the pulse train is measured with a signal source analyser (FSWP26 Rohde & Schwarz), and optical spectra are monitored with an optical spectrum analyser (OSA).