  In inertial fusion, one of scientific issues is to reduce an implosion
non-uniformity of a spherical fuel target. The implosion non-uniformity is
caused by several factors, including the driver beam illumination
non-uniformity, the Rayleigh-Taylor instability (RTI) growth, etc. In this
paper we propose a new control method to reduce the implosion non-uniformity;
the oscillating implosion acceleration dg(t) is created by pulsating and
dephasing heavy ion beams (HIBs) in heavy ion inertial fusion (HIF). The dg(t)
would reduce the RTI growth effectively. The original concept of the non-
uniformity control in inertial fusion was proposed in (Kawata, et al., 1993).
In this paper it was found that the pulsating and dephasing HIBs illumination
provide successfully the controlled dg(t) and that dg(t) induced by the
pulsating HIBs reduces well the implosion non-uniformity. Consequently the
pulsating HIBs improve a pellet gain remarkably in HIF.
