  We demonstrate coherent supercontinuum generation (SCG) in a monolithically
integrated lithium-niobate waveguide, under the presence of second- and
third-order nonlinear effects. We achieve more than two octaves of optical
bandwidth in a 0.5-cm-long waveguide with 100-picojoule-level pulses.
Dispersion engineering of the waveguide allows for spectral overlap between the
SCG and the second harmonic which enables direct detection of the
carrier-envelope offset frequency fCEO using a single waveguide. We measure the
fCEO of our femtosecond pump source with a 30-dB signal-to-noise ratio.
