213 research outputs found
Excitation of two-dimensional plasma wakefields by trains of equidistant particle bunches
Nonlinear effects responsible for elongation of the plasma wave period are
numerically studied with the emphasis on two-dimensionality of the wave. The
limitation on the wakefield amplitude imposed by detuning of the wave and the
driver is found.Comment: 4 pages, 4 figure
Self-modulation instability of a long proton bunch in plasmas
An analytical model for the self-modulation instability of a long
relativistic proton bunch propagating in uniform plasmas is developed. The
self-modulated proton bunch resonantly excites a large amplitude plasma wave
(wake field), which can be used for acceleration of plasma electrons.
Analytical expressions for the linear growth rate and the number of
exponentiations are given. We use the full three-dimensional particle-in-cell
(PIC) simulations to study the beam self-modulation and the transition to the
nonlinear stage. It is shown that the self-modulation of the proton bunch
competes with the hosing instability which tends to destroy the plasma wave. A
method is proposed and studied through PIC simulations to circumvent this
problem which relies on the seeding of the self-modulation instability in the
bunch
Plasma Wakefield Acceleration with a Modulated Proton Bunch
The plasma wakefield amplitudes which could be achieved via the modulation of
a long proton bunch are investigated. We find that in the limit of long bunches
compared to the plasma wavelength, the strength of the accelerating fields is
directly proportional to the number of particles in the drive bunch and
inversely proportional to the square of the transverse bunch size. The scaling
laws were tested and verified in detailed simulations using parameters of
existing proton accelerators, and large electric fields were achieved, reaching
1 GV/m for LHC bunches. Energy gains for test electrons beyond 6 TeV were found
in this case.Comment: 9 pages, 7 figure
Natural noise and external wake field seeding in a proton-driven plasma accelerator
We discuss the level of natural shot noise in a proton bunch-driven plasma
accelerator. The required seeding for the plasma wake field must be larger than
the cumulative shot noise. This is the necessary condition for the axial
symmetry of the generated wake and the acceleration quality. We develop an
analytical theory of the noise field and compare it with multi-dimensional
simulations. It appears that the natural noise wake field generated in plasma
by the available at CERN super-protons-synchrotron (SPS) bunches is very low,
at the level of a few 10 kV/m. This fortunate fact eases the requirements on
the seed. Our three dimensional simulations show that even a few tens MeV
electron bunch precursor of a very moderate intensity is sufficient to seed the
proton bunch self-modulation in plasma.Comment: 5 pages, 5 figure
Effect of plasma inhomogeneity on plasma wakefield acceleration driven by long bunches
Effects of plasma inhomogeneity on self-modulating proton bunches and
accelerated electrons were studied numerically. The main effect is the change
of the wakefield wavelength which results in phase shifts and loss of
accelerated particles. This effect imposes severe constraints on density
uniformity in plasma wakefield accelerators driven by long particle bunches.
The transverse two stream instability that transforms the long bunch into a
train of micro-bunches is less sensitive to density inhomogeneity than are the
accelerated particles. The bunch freely passes through increased density
regions and interacts with reduced density regions.Comment: 7 pages, 10 figure
Proton Driven Plasma Wakefield Acceleration
Plasma wakefield acceleration, either laser driven or electron-bunch driven,
has been demonstrated to hold great potential. However, it is not obvious how
to scale these approaches to bring particles up to the TeV regime. In this
paper, we discuss the possibility of proton-bunch driven plasma wakefield
acceleration, and show that high energy electron beams could potentially be
produced in a single accelerating stage.Comment: 13 pages, 4 figure
Electron trapping and acceleration by the plasma wakefield of a self-modulating proton beam
It is shown that co-linear injection of electrons or positrons into the
wakefield of the self-modulating particle beam is possible and ensures high
energy gain. The witness beam must co-propagate with the tail part of the
driver, since the plasma wave phase velocity there can exceed the light
velocity, which is necessary for efficient acceleration. If the witness beam is
many wakefield periods long, then the trapped charge is limited by beam loading
effects. The initial trapping is better for positrons, but at the acceleration
stage a considerable fraction of positrons is lost from the wave. For efficient
trapping of electrons, the plasma boundary must be sharp, with the density
transition region shorter than several centimeters. Positrons are not
susceptible to the initial plasma density gradient.Comment: 9 pages, 9 figures, 1 table, 44 reference
High-quality positrons from a multi-proton bunch driven hollow plasma wakefield accelerator
By means of hollow plasma, multiple proton bunches work well in driving
nonlinear plasma wakefields and accelerate electrons to energy frontier with
preserved beam quality. However, the acceleration of positrons is different
because the accelerating structure is strongly charge dependent. There is a
discrepancy between keeping a small normalized emittance and a small energy
spread. This results from the conflict that the plasma electrons used to
provide focusing to the multiple proton bunches dilute the positron bunch. By
loading an extra electron bunch to repel the plasma electrons and meanwhile
reducing the plasma density slightly to shift the accelerating phase with a
conducive slope to the positron bunch, the positron bunch can be accelerate to
400 GeV (40% of the driver energy) with an energy spread as low as 1% and well
preserved normalized emittance. The successful generation of high quality and
high energy positrons paves the way to the future energy frontier lepton
colliders.Comment: 14 pages, 5 figure
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