Harmonic spectra have been calculated by numerically integrating the o
ne-dimensional Schrodinger equation for a model potential and a laser
field sufficiently intense to cause significant or complete ionization
. The use of a one-dimensional model allows realistic pulse lengths (1
ps) and laser wavelengths (0.5 and 1 mum) to be considered. The depen
dence of the plateau cutoff on laser intensity has been studied in det
ail, from far below to far above the saturation intensity. We find tha
t below saturation the cutoff scales approximately linearly with laser
intensity, and that the cutoff continues to increase beyond saturatio
n, although at a slower rate. At high intensities, where ionization oc
curs rapidly during the leading edge of the laser pulse, the edge of t
he plateau becomes less clearly defined. In this regime, the harmonic
cutoff will be determined by a combination of the atomic response and
the phase mismatch due to the presence of free electrons.