Publications Details
Stochastic electron beams in the ion-focused regime
In this paper the concept of a stochastic electron beam is introduced. A stochastic electron beam is one for which the transverse dynamics is chaotic. Utilizing adiabatic orbits, the resonance overlap condition for transition to stochasticity in a particular electron beam system, the "triple-Bennett configuration," is derived. The tangent map is derived and used to state conditions for strong orbit instability and the resulting exponential decay of phase correlations. The dependence of the K entropy on the strength ε of the nonaxisymmetry of the triple-Bennett configuration is investigated numerically. Implications for the suppression of the ion-hose instability in the ion-focused regime are briefly discussed. © 1990 American Institute of Physics.