We report a passively dual-wavelength mode-locked Yb:LuYSiO5 (Yb:LYSO) laser with a double-walled carbon nanotube saturable absorber (DWCNT-SA) for the first time. Simultaneous mode-locking at the 1045.5 and 1059.0 nm was achieved and the pulse duration of the dual-wavelength modelocked pulses are 8.0 ps. Ultrahigh repetition rate ultrafast pulses with 750 fs pulse width and 3.66 THz repetition rate were further obtained. The average output power of 1.27 W with a repetition rate of 103.5 MHz was obtained using absorbed pump power of 12.83 W and the slope efficiency is 13.0%.Average output power, W 0 0.5
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