Energy Transfer in Nonequilibrium Space-Charge-Dominated Beams

Abstract

Space-charge modes similar to those observed in recent experiments appear in simulations of nonequilibrium charged particle beams with anisotropy. The modes couple degrees of freedom, causing energy transfer and equipartitioning without halo formation in just a few betatron wavelengths. The rate depends on a single free parameter quantifying the space-charge intensity of the final state. Traditional stability analyses are shown not to apply to high-intensity laboratory beams originating with a large perturbation from equilibrium.

Off-axis stability of intense continuous relativistic beams

“…This state is most desirable in practical beam transport devices because it prevents emittance growth, halo formation, and, ultimately, beam losses. 6,10,[13][14][15][16][17] Setting r b Љ= 0 in Eq. ͑10͒ and solving for the perveance, we obtain…”

Weibel and Two-Stream Instabilities for Intense Charged Particle Beam Propagation through Neutralizing Background Plasma

“…Nonetheless, often with the aid of numerical simulations, there has been considerable recent analytical progress in applying the Vlasov-Maxwell equations to investigate the detailed equilibrium and stability properties of intense charged particle beams. These investigations include a wide variety of collective interaction processes ranging from the electrostatic Harris instability [29][30][31][32][33][34][35] and electromagnetic Weibel instability [36][37][38][39][40][41] driven by large temperature anisotropy with T ⊥b T b in a one-component nonneutral ion beam, to wall-impedance-driven collective instabilities [42][43][44][45], to the dipole-mode two-stream instability for an intense ion beam propagating through a partially neutralizing electron background [45][46][47][48][49][50][51][52][53][54][55][56], to the resistive hose instability [57][58][59][60][61][62][63] and the sausage and hollowing instabilities [64][65][66] for an intense ion beam propagating through a background plasma [67][68][69]…”

A Class Of Generalized Kapchinskij-Vladimirskij Solutions And Associated Envelope Equations For High-intensity Charged Particle Beams

“…Since then, the envelope equations have become a very important theoretical tool for investigating the transverse dynamics of high-intensity beams in uncoupled periodic focusing lattices [1][2][3][7][8][9][10][11][12][13][14][15].…”