  Considering C$_{60}$ as a model system for describing field emission from the
extremity of a carbon nanotip, we explore electron emission from this fullerene
excited by an intense, near-infrared, few-cycle laser pulse
($10^{13}$-$10^{14}~{\rm W/cm}^2$, 912 nm, 8-cycle). To this end, we use
time-dependent density functional theory augmented by a self-interaction
correction. The ionic background of C$_{60}$ is described by a soft jellium
model. Particular attention is paid to the high energy electrons. Comparing the
spectra at different emission angles, we find that, as a major result of this
study, the photoelectrons are strongly peaked along the laser polarization axis
forming a highly collimated electron beam in the forward direction, especially
for the high energy electrons. Moreover, the high-energy plateau cut-off found
in the simulations agrees well with estimates from the classical three-step
model. We also investigate the build-up of the high-energy part of a
photoelectron spectrum by a time-resolved analysis. In particular, the
modulation on the plateau can be interpreted as contributions from intracycle
and intercycle interferences.
