Helium atoms ionized by intense few-cycle light pulses in the barrier
suppression regime emit spatially coherent extreme ultraviolet continu
um extending to photon energies greater than E-ph = 0.5 keV (lambda <
2.5 nm). The high-energy end of the continuum in the range of E-ph gre
ater than or equal to 0.2 keV (lambda less than or equal to 6 nm) was
characterized spectrally over a considerable dynamic range using energ
y-dispersive detection. The sub-10-fs laser pulse duration was found t
o be crucial for generating radiation with the highest photon energies
at the low (<0.5 mJ) pump energy levels used in the experiments. The
single-atom quantum theory of high-order harmonic generation combined
with Maxwell's wave equation provides a satisfactory account for the e
xperimental observations.