A high-repetition-rate Ti:sapphire-pumped femtosecond optical parametric oscillator based on the new nonlinear-optical crystal RbTiOAsO4 is described. Tuning from 1.03 to 1.3 mu m in the signal branch and from 2.15 to 3.65 mu m in the idler branch with powers as high as 250 mW in the signal and 200 mW in the idler is presented. The possibility of extending the tuning range beyond 3.65 mu m is discussed.