[en] By converting a coherent plane wave to a random-phased wave, the intensity distribution profile on a target becomes easily controllable. Planar as well as spherical targets were irradiated for the first time by the random-phased wave. The targets were uniformly accelerated without being affected by the small-scale intensity nonuniformities. The 3/2 harmonic emission shows that the plasma waves at nsub(c)/4 are only weakly excited in a spherical plasma. Direct irradiation of spherical targets with multiple random-phased laser beams will be suitable for highly symmetric spherical implosion. (author)