Abstract

Plasma wakefield acceleration (PWFA) has demonstrated the ability to produce very high gradients to accelerate electrons and positrons. In PWFA, a drive bunch of charged particles passes through a uniform plasma, thereby generating a wakefield that accelerates a witness bunch traveling behind the drive bunch. This process works well for electrons, but much less so for positrons due to the positive charge attracting rather than repealing the plasma electrons, which leads to reduced acceleration gradient, halo formation, and emittance growth. This problem can be alleviated by having the positron beam travel through a hollow plasma channel. Presented are modeling results for producing 10--100 cm long hollow plasma channels suitable for positron PWFA. These channels are created utilizing laser-induced gas breakdown in hydrogen gas. The results show that hollow channels with plasma densities of order ${10}^{16}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}3}$ and inner channel radii of order $20\text{ }\text{ }\ensuremath{\mu}\mathrm{m}$ are possible using currently available terawatt-level lasers. At these densities and radii, preliminary positron PWFA modeling indicates that longitudinal electric fields on axis can exceed $3\text{ }\text{ }\mathrm{GV}/\mathrm{m}$.

Highlights

  • Plasma-based particle accelerators have made tremendous progress in recent years. One such scheme is a particle beam-driven accelerator known as a plasma wakefield accelerator (PWFA) [1]

  • A ‘‘witness’’ bunch (WB) that follows the drive bunch can be phased with the wakefield such that the wakefield accelerates the bunch

  • We modeled the case of a train consisting of a drive’’ bunch (DB) followed by a WB and investigated their propagation in a hollow plasma channel with channel radii from rch 1⁄4 0 to rch 1⁄4 2c=!p

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Summary

INTRODUCTION

Plasma-based particle accelerators have made tremendous progress in recent years. One such scheme is a particle beam-driven accelerator known as a plasma wakefield accelerator (PWFA) [1]. A better method for generating a hollow plasma channel is to use laser-induced gas breakdown in which a laser beam with a high-order Bessel-beam transverse intensity profile is generated by sending the beam through a phase plate (kinoform) and axicon lens. Using a kinoform design developed by Andreev et al [9,10], Fan et al transformed their 500 mJ, 100 ps Nd:YAG laser beam into a fifth-order, J5, Bessel intensity profile This produced a channel where the radius of the first maximum of the Bessel-beam focus was $4 m and the peak plasma density in the walls of the channel was $3 Â 1019 cmÀ3. The Appendix contains a first-order analysis of the intensity distribution along the axicon focal region

Ionization of hydrogen gas
Simulations of positron PWFA in hollow plasma channel
DESCRIPTION OF BESSEL-BEAMGENERATED PLASMA CHANNEL MODEL
MODEL RESULTS FOR HOLLOW PLASMA CHANNEL FORMATION
DISCUSSION AND SUMMARY
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