Additionally about the ways how to defend combined beam against two-stream instability:
Effects of a solenoidal focusing field on the electron–ion two-stream instability in high-intensity ion beams
Ronald C. Davidson, Han S. Uhm
http://www.sciencedirect.com/science/article/pii/S0375960101002456
Abstract
A rigid-beam model is used to investigate the influence of a solenoidal focusing field on the electron–ion two-stream instability that can occur in high-intensity ion beams when an (unwanted) component of background electrons is present. A relatively weak solenoidal magnetic field strongly constrains the transverse electron motion and can lead to a significant reduction in instability growth rate whenever ω2ce⪢2(nbeb/nee)ω2pe. Here, ωce=eB0/mec is the electron gyrofrequency, ωpe=(4πnee2/me)1/2 is the electron plasma frequency, and nb and ne are the ion and electron number densities.
Note#1: “solenoidal” means “longitudinal” for cylindrical beam and “toroidal” for cyclic beam. So, TOKAMAK like field configuration would be very useful.
Note#2: “relatively weak solenoidal magnetic field” means “relatively high beta” (unlike TOKAMAK)