Transition from isotropic to anisotropic beam profiles in a uniform linear focusing channel

This paper examines the transition from isotropic to anisotropic beam profiles in a uniform linear focusing channel. Considering a high-intensity ion beam in space- charge dominated regime and large beam size-rms mismatched initially, observe a fast anisotropy situation of the beam characterized for a transition of the transversal section round to elliptical with a coupling of transversal emittance driven for collective instabilities of nonlinear space-charge forces.