Stochastic pulsation of laser-plasma interaction in the range of a few
to dozens of picoseconds, due to standing wave produced density ripples,
needs more attention than in the past, in view of the recent developments.
This is important if nanosecond laser pulses produce a pre-compression
that is a thousand times the solid state density of DT for fast ignition
as well as for treatment of ps laser interaction. The following is an
updated summary of these properties where the laser beam smoothing is
essential. The use of smoothing is not only an empirical game with
experiments for improving the interaction, but it is necessary to be aware
of the mechanisms involved for understanding how the pulsation is
overcome, and conclusions can be derived systematically for further
improvements and control of the phenomena.