Nonlinear plasma waves excitation by intense ion beams in background plasma

An analytical electron fluid model to describe the plasma response to a propagating ion beam was described. The electron thermal velocity is assumed to be neglected as it is much smaller than beam velocity which allow to use a fluid approximation and obtain an analytical solution for the self-electric and self-magnetic fields of the ion beam pulse. It was found that for good charge neutralization, the ion beam was neutralized by plasma with density larger than the ion beam density. The condition for avoiding large-amplitude plasma wave generation requires that the rise time of the ion beam pulse be much longer than the plasma period.