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Stability and transient analyses of temporal Talbot-effect-based repetition-rate multiplication mode-locked laser systems

We demonstrate four-times repetition rate multiplication on 10-Gb/s pulse train generated from the active harmonically mode-locked fiber ring laser, hence, achieving 40-Gb/s pulse train by using fractional temporal Talbot effect. The stability and the transient response of the multiplied pulses are studied using the phase-plane technique of nonlinear control engineering. It has been found that the stability of the Talbot-based multiplied pulse train, based on the phase-plane analysis, is hardly achievable even under the perfect multiplication conditions. Furthermore, uneven pulse amplitude distribution is observed in the multiplied pulse train.