Repetition frequency pulling effects are found to exist in asynchronous harmonic mode-locked fiber soliton lasers. The deviation frequency of asynchronous mode-locking is found to be dependent on the active modulation depth, not wholly determined by the difference between the intracavity active modulation frequency and the cavity harmonic repetition frequency. Transition from asynchronous to synchronous mode-locking will also occur when the modulation depth is above the threshold. Independent repetition frequency control of asynchronous mode-locked laser can be achieved through the effects.
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