Abstract

Using a periodic electron beam bunch train to resonantly excite plasma wakefields in the quasi-nonlinear (QNL) regime has distinct advantages over employing a single, higher charge bunch. Resonant excitation in the QNL regime can produce plasma electron blowout using very low emittance beams with a small charge per pulse: the local density perturbation is extremely nonlinear, achieving total rarefaction, yet the resonant response of the plasma electrons at the plasma frequency is preserved. Such a pulse train, with inter-bunch spacing equal to the plasma period, can be produced via inverse free-electron laser bunching. To achieve resonance with a laser wavelength of a few microns, a high plasma density is used, with the attendant possibility of obtaining extremely large wakefield amplitude, near 1 TV/m for FACET-II parameters. In this article, we use particle-in-cell simulations to study the plasma response, the beam modulation evolution, and the instabilities encountered, that arise when using a bunching scheme to resonantly excite waves in a dense plasma.

Highlights

  • In a beam-driven plasma wakefield accelerator (PWFA), electromagnetic fields are excited by an intense, relativistic particle beam driver

  • Introduced in 2004 [17], the inverse free electron laser (IFEL) technique for microbunching, was proposed as a means of generating high peak current bunch trains

  • Resonant PWFA excitation in the linear regime has been experimentally demonstrated by modulating an electron beam into a train of microbunches spaced at a laser wavelength of λL 1⁄4 10.6 μm through an inverse free-electron laser (IFEL) interaction at the BNL ATF facility [21]

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Summary

INTRODUCTION

In a beam-driven plasma wakefield accelerator (PWFA), electromagnetic fields are excited by an intense, relativistic particle beam driver. To quantify the goal of obtaining large PWFA fields, a train with bunch-tobunch spacing of 2 μm is resonant with a very high density plasma: n0 1⁄4 k2p=4πre 1⁄4 2.79 × 1020 cm−3 This density, in combination with assumptions of quasinonlinear waves approaching wave-breaking amplitude, EWB 1⁄4 mec2kp, implies extremely large-amplitude excited wakefields, up to TV/m, as discussed below. A 3.2 pC microbunched (2 μm period, 348 A peak current) beam with a normalized emittance of 50 nm rad [11] has a matched spot size, σx, of 13 nm comparable to a linear collider final focus [12] At this size, the beam creates enormous radial electric fields, near 1 TV/m, which will ionize the gas atoms in a high field process termed the barrier suppression regime [13]. The size of the simulation window and the particle per cell for the simulations running for a longer duration, i.e., 5000=ωp is specified below in the table containing the simulation parameters

PERIODIC BUNCHING WITH IFEL
RESONANT PLASMA WAKEFIELD EXCITATION
Variation with charge
Variation with emittance
PARTIALLY BUNCHED SYSTEMS
Variation with bunching factor
OTHER INSTABILITIES IN RESONANT EXCITATION
WITNESS BEAM INJECTION
BEAM-INDUCED FIELD IONIZATION
VIII. DISCUSSION AND OUTLOOK
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