A tunable repetition-rate, high-order harmonic soliton is realized in a passively hybrid mode-locked all-fiber laser by using a carbon nanotube and nonlinear polarization rotation (NPR) technique. At different polarization states with appropriate pump power, the laser can operate at tunable harmonic solitons of 1st, 3rd, 7th, 11th, 17th, 22th, and 29th, corresponding to the fundamental repetition rate ranging from 18.22MHz to 528.5MHz, which was mainly caused by the NPR effect and intracavity spectral filtering effect.
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