Abstract
Collective space charge effects play an important role in intense unneutralized beams of non relativistic heavy ions, which are of interest in recently proposed high-current accelerators (such as drivers for inertial confinement fusion etc.). Of particular importance is the propagation of wave-like perturbations including the destabilizing effect of dissipation due to finite electrical conductivity in the surrounding walls. The propagation characteristics of such waves are investigated by means of 2½-dimensional computer simulation, with emphasis on dispersion, steepening (leading to solitary waves), and the problem of reflection of a growing wave at the beam tail with subsequent conversion into a damped wave propagating back into the beam. The net result on beam quality is discussed

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