Stability of anisotropic beams with space charge

Tracking of Electron Beams with Numerically Determined Space Charge Forces

A tracking algorithm for the description of electron beams using grid-based space charge fields is compared to a method based on point-to-point calculations. The charged particles’ equations of motion are solved with a fifth-order embedded Runge-Kutta method using the concept of macroparticles. The space charge forces are determined in the bunch’s restframe with a multigrid-method [1].

Soliton Gas in Space-charge Dominated Beams

Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. It has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the hydrodynamic equations with a triple ...

Simulations and experiments with space-charge-dominated beams

Beams in which space charge forces are stronger than the force from thermal pressure are nonneutral plasmas, since particles interact mostly via the long-range collective potential. An ever-increasing number of applications demand such high-brightness beams. The University of Maryland Electron Ring @P. G. O’Shea et al., Nucl. Instrum Methods Phys. Res. A 464, 646 ~2001!#, currently under constr...

Toward Higher Order Particle Simulation of Space-Charge-Dominated Beams*

The intense particle beams to be used as drivers for Heavy Ion Inertial Fusion exhibit dynamics which are dominated by space-charge (abbreviated s-c) forces, rather than by thermal pressure (as in most traditional accelerator applications). Such beams are non-neutral plasmas, and the particle-in-cell technique (with the addition of detailed models for the externally applied fields and the domai...

Direct Axisymmetric Vlasov Simulations of Space Charge Dominated Beams