We propose and demonstrate an all-normal-dispersion multi-wavelength dissipative soliton Yb-doped fiber laser with a periodic birefringence fiber filter, for the first time to our best knowledge. Numerical simulations show that single-, dual-, and multi-wavelength dissipative solitons can be generated under appropriate filter bandwidth and saturation power. Under a certain filter bandwidth, the generated wavelength number of multi-wavelength mode-locked dissipative solitons is related to the saturation power, decreasing with increasing saturation power. The maximal and minimal attainable wavelength spacing of multi-wavelength dissipative solitons are also investigated, which are 21 nm and 4.6 nm, respectively, according to our simulations. Furthermore, the generation of multi-wavelength dissipative solitons has been verified by experiments. Dual- and three-wavelength dissipative solitons with a wavelength spacing of 16.4 nm have been achieved.
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