Abstract
Collective processes in intense charged particle beams described self-consistently by the Vlasov-Maxwell equations are studied using a 3D multispecies nonlinear perturbative particle simulation method. The newly developed beam equilibrium, stability, and transport (BEST) code is used to simulate the nonlinear stability properties of intense beam propagation, surface eigenmodes in a high-intensity beam, and the electron-proton ($e\ensuremath{-}p$) two-stream instability observed in the Proton Storage Ring (PSR) experiment. Detailed simulations in a parameter regime characteristic of the PSR experiment show that the dipole-mode two-stream instability is stabilized by a modest spread (about 0.1%) in axial momentum of the beam particles.
Highlights
Periodic focusing accelerators and transport systems [1 –4] have a wide range of applications ranging from basic scientific research to applications such as spallation neutron sources, heavy ion fusion, and nuclear waste transmutation
A well-documented example is the electron-proton (e-p) instability observed in the Proton Storage Ring (PSR) [17,18], a similar instability exists for other ion species including electron-ion interactions in electron storage rings [19 –21]
The BEST code [25] described here is a newly developed 3D multispecies nonlinear perturbative particle simulation code, which can be applied to a wide range of important collective processes in intense beams, such as the electron-ion two-stream instability [12,13,14,15,16,17,18] and the periodically focused beam propagation [11]
Summary
Periodic focusing accelerators and transport systems [1 –4] have a wide range of applications ranging from basic scientific research to applications such as spallation neutron sources, heavy ion fusion, and nuclear waste transmutation. The df formalism, a low-noise, nonlinear perturbative particle simulation technique, has been developed for intense beam applications and applied to matched-beam propagation in a periodic focusing field [23,24] and other related studies. The present paper reports recent advances in applying the df formalism to investigate nonlinear collective processes in intense charged particle beams. The BEST ( beam equilibrium, stability, and transport) code [25] described here is a newly developed 3D multispecies nonlinear perturbative particle simulation code, which can be applied to a wide range of important collective processes in intense beams, such as the electron-ion two-stream instability [12,13,14,15,16,17,18] and the periodically focused beam propagation [11]. The simulations show that the instability can be stabilized by a modest spread in axial momentum of the beam particles
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