The spectrum of higher harmonics in atoms calculated with a uniformized sem
iclassical propagator is presented and it is shown that the higher harmonic
generation is an interference phenomenon which can be described semiclassi
cally. This can be concluded from the good agreement with the quantum spect
rum. Moreover, the formation of a plateau in the spectrum is specifically d
ue to the interference of irregular, time-delayed, trajectories with regula
r orbits without a time delay. This is proven by the absence of the plateau
in an artificial semiclassical spectrum generated from a sample of traject
ories from which the irregular trajectories (only a few percent) have been
discarded.