Pulse generation with an arbitrary numerator is experimentally demonstrated in seventh- and ninth-order rational-harmonic mode-locked fiber lasers. Conventionally, the numerator of rational-harmonic mode locking is equal to 1. Furthermore, the experimental generation of the numerator 22nd-order rational-harmonic mode-locked pulse confirms that the amplitude distributions in such pulse trains are strongly modulated by the numerator lower-order rational-harmonic mode locking. The result is important, as it indicates that a higher-repetition-rate pulse train can be obtained by an arbitrary numerator rational-harmonic mode-locking technique.
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