Nonlinear Theory for Relativistic Plasma Wakefields in the Blowout Regime

Lü, Wei; Huang, Chengkun; Zhou, Miaomiao; Mori, W. B.; Katsouleas, T.

doi:10.1103/physrevlett.96.165002

Cited by 500 publications

(449 citation statements)

References 18 publications

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“…Furthermore, the magnetic field of cylindrically symmetric plasma waves is purely azimuthal, i.e. B ¼ B e [8].…”

Section: Single Electron Spin Dynamicsmentioning

confidence: 99%

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Polarized beam conditioning in plasma based acceleration

Vieira¹,

Huang

Mori

et al. 2011

Phys. Rev. ST Accel. Beams

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The acceleration of polarized electron beams in the blowout regime of plasma-based acceleration is explored. An analytical model for the spin precession of single beam electrons, and depolarization rates of zero emittance electron beams, is derived. The role of finite emittance is examined numerically by solving the equations for the spin precession with a spin tracking algorithm. The analytical model is in very good agreement with the results from 3D particle-in-cell simulations in the limits of validity of our theory. Our work shows that the beam depolarization is lower for high-energy accelerator stages, and that under the appropriate conditions, the depolarization associated with the acceleration of 100-500 GeV electrons can be kept below 0.1%-0.2%.

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“…Furthermore, the magnetic field of cylindrically symmetric plasma waves is purely azimuthal, i.e. B ¼ B e [8].…”

Section: Single Electron Spin Dynamicsmentioning

confidence: 99%

“…These results were obtained in the blowout regime, where plasma electrons are evacuated from the region where the driver propagates. The resulting wakefield structures are characterized by linear accelerating and focusing forces, and are ideally suited for electron acceleration [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Polarized beam conditioning in plasma based acceleration

Vieira¹,

Huang

Mori

et al. 2011

Phys. Rev. ST Accel. Beams

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“…Equation 1.6 displays E z for r < R. An exact analytic solution to the interaction of the drive bunch and the plasma does not exist, so particle-in-cell (PIC) codes are used to calculate fields and wake properties. There is, however, a simple nonlinear theory that describes the basic physics of the interaction between the drive bunch and the plasma in the nonlinear bubble regime [48,47]. In this regime, the plasma electrons reside in a sheath outside of the ion bubble.…”

Section: Accelerating Fieldmentioning

confidence: 99%

Properties of Trapped Electron Bunches in a Plasma Wakefield Accelerator

Kirby¹

2009

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Plasma-based accelerators use the propagation of a drive bunch through plasma to create large electric fields. Recent plasma wakefield accelerator (PWFA) experiments, carried out at the Stanford Linear Accelerator Center (SLAC), successfully doubled the energy for some of the 42 GeV drive bunch electrons in less than a meter; this feat would have required 3 km in the SLAC linac. This dissertation covers one phenomenon associated with the PWFA, electron trapping. Recently it was shown that PWFAs, operated in the nonlinear bubble regime, can trap electrons that are released by ionization inside the plasma wake and accelerate them to high energies. These trapped electrons occupy and can degrade the accelerating portion of the plasma wake, so it is important to understand their origins and how to remove them. Here, the onset of electron trapping is connected to the drive bunch properties.Additionally, the trapped electron bunches are observed with normalized transverse emittance divided by peak current, N,x /I t , below the level of 0.2 µm/kA. A theoretical model of the trapped electron emittance, developed here, indicates that the emittance scales inversely with the square root of the plasma density in the nonlinear "bubble" regime of the PWFA. This model and simulations indicate that the observed values of N,x /I t result from multi-GeV trapped electron bunches with emittances of a few µm and multi-kA peak currents. These properties make the trapped electrons a possible particle source for next generation light sources.This dissertation is organized as follows. The first chapter is an overview of the PWFA, which includes a review of the accelerating and focusing fields and a survey of the remaining issues for a plasma-based particle collider. Then, the second chapter examines the physics of electron trapping in the PWFA. The third chapter uses theory and simulations to analyze the properties of the trapped electron bunches. Chapters vi four and five present the experimental diagnostics and measurements for the trapped electrons. Next, the sixth chapter introduces suggestions for future trapped electron experiments. Then, Chapter seven contains the conclusions. In addition, there is an appendix chapter that covers a topic which is extraneous to electron trapping, but relevant to the PWFA. This chapter explores the feasibility of one idea for the production of a hollow channel plasma, which if produced could solve some of the remaining issues for a plasma-based collider.vii Acknowledgement

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“…2 The plasma is created by tunnel ionization 3,4,5 of lithium vapor at the leading edge of the electron beam pulse ~10μm in diameter and ~15μm long. In the blow-out regime 6 , the beam density is larger than the plasma density, and the electric field of the beam expels the cold electrons, which all end up at approximately the same radius. These electrons are drawn back in by the ions they left behind, and their oscillation forms a plasma wave on which electrons in the tail of the beam pulse surf to gain higher energy.…”

Section: Introductionmentioning

confidence: 99%

Diffusion of an annular plasma in positron acceleration

Chen

2007

Physics of Plasmas

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Electron acceleration to multi-GeV energies has been demonstrated using plasma wakefields in a tunnel-ionized plasma. However, coherent wakefields for positron acceleration may require hollow plasmas pre-ionized by a laser beam. The lifetime of such a plasma is determined by an unusual diffusion problem in which the diffusion rate varies by an order of magnitude inside the hole. The problem is solved by numerical differentiation without using a PIC code.

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Nonlinear Theory for Relativistic Plasma Wakefields in the Blowout Regime

Cited by 500 publications

References 18 publications

Polarized beam conditioning in plasma based acceleration

Polarized beam conditioning in plasma based acceleration

Properties of Trapped Electron Bunches in a Plasma Wakefield Accelerator

Diffusion of an annular plasma in positron acceleration

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