Symmetry analysis of cylindrical implosions driven by high-frequency rotating ion beams

A symmetry analysis of the cylindrical target implosion driven by a high-frequency rotating beam of heavy ions is presented. The non-uniformity generated by such a system is studied by developing an analytical model and by performing two-dimensional simulations. The results show that the asymmetry in the driving pressure depends on the number N of beam revolutions as N ^-n and the power index n is determined by the time variation of the power pulse. For a box pulse, it is n = 1 and for a parabolic pulse, it is n = 2. In the latter case symmetry of 1% can be achieved at the end of the pulse by using N = 10.