Abstract

Demands of high intensity beams are increasing for material science and engineering applications. To control the high intensity beam dynamics, the nonlinear space charge forces, produced by the beam and the residual plasma at low energy, have to be carefully studied. Interactions between the beam and the residual gas tend to neutralize the beam space charge. The temporal and spatial evolutions of these interactions complicate the beam dynamics, even into a drift section. A 1.5D ($xy$ for motion, $r$ for space charge) PIC code, CARTAGO, has been written in order to simulate the beam dynamics in a low energy beam transport line including the space charge compensation effects. This paper relates the structure and the numerical methods used in the code and shows studies of the space charge compensation regime for ${\mathrm{H}}^{+}$ and ${\mathrm{H}}^{\ensuremath{-}}$ beams in a drift section.

Highlights

  • In the low energy part of an accelerator, high intensity beams undergo important space charge (SC) forces. Such beams are usually transported in a space charge compensation (SCC) regime induced by the secondary charged particles produced by ionization of the residual gas

  • This paper detailed analytical and numerical studies of the space charge compensation in a drift section. They show that at low energy and when the ionization is the only effective process, the beam space charge is fully neutralized for continuous H or H beams at the steady state

  • The observed effects during the transient regime in the numerical simulations are in a good agreement with the analytical expectations

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Summary

BenIsmail*

CEA Saclay, DSM/DAPNIA/SACM, 91191 Gif sur Yvette, France, and CNSTN, BP Number 204, 1080 Tunis-Cedex, Tunisia. CEA Bruyères le Châtel, DAM/SCEF, BP12, 91680 Bruyères le Châtel, France (Received 16 October 2006; published 31 July 2007). To control the high intensity beam dynamics, the nonlinear space charge forces, produced by the beam and the residual plasma at low energy, have to be carefully studied. Interactions between the beam and the residual gas tend to neutralize the beam space charge. The temporal and spatial evolutions of these interactions complicate the beam dynamics, even into a drift section. A 1.5D (xy for motion, r for space charge) PIC code, CARTAGO, has been written in order to simulate the beam dynamics in a low energy beam transport line including the space charge compensation effects.

INTRODUCTION
The space charge compensation degree
The SCC time constant
The CARTAGO code
TRANSIENT SCC IN A DRIFT SECTION
Influence of the gas pressure
Influence of the beam and the pipe radii
Influence of the beam current
SCC of H beam
SCC IMPACT ON THE BEAM DYNAMICS IN A
Transport of H beam with SCC
Different sizes
CONCLUSIONS
Findings
Vb r: R2

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