Abstract
The nonlinear dynamics of plasma wakefield in the interaction between a relativistic Gaussian electron beam and an inhomogeneous plasma is theoretically studied. The effects of physical parameters, such as the length of the driving electron bunch, the initial plasma density profile, and the static magnetic field strength on the evolution of the plasma wakefield amplitude, are discussed. It is found that the amplitudes of both the longitudinal electric field and the perturbed electron density behind the beam are larger in an inhomogeneous plasma than in a homogeneous plasma. Moreover, in a medium with periodical density variations, the change in the plasma wakefield amplitude is periodical and so the perturbed density behind the beam. It is also found that the plasma wakefield is maximum for a definite length of the drive bunch along the propagation direction. Thus, for a special system of plasmas and drive bunches, it is possible to transfer the maximum energy from a driving electron beam to the particles in the witness bunch and accelerate them to higher energies.
Highlights
The plasma wakefield acceleration (PWFA) is a standard procedure for accelerating charged particles to relativistic energies
III, we present the numerical solution of ordinary differential equations (ODEs), which describe the excitation of wake waves and perturbed electrons behind the driving beam
In this work, we numerically studied the nonlinear interaction of a relativistic Gaussian electron beam with homogeneous and inhomogeneous cold magnetized plasmas
Summary
The plasma wakefield acceleration (PWFA) is a standard procedure for accelerating charged particles to relativistic energies. In the 1970s, Tajima and Dawson suggested the idea of propagating high-intensity short laser pulses through a plasma to accelerate the charged particles.. In the 1970s, Tajima and Dawson suggested the idea of propagating high-intensity short laser pulses through a plasma to accelerate the charged particles.1 They showed that a high-intensity short laser pulse can create a strong longitudinal electric field and proved that the generated wakefield in this system can accelerate electrons to several GeV/cm. One of the important parameters that can control the wakefield amplitude in a plasma medium is the density profile of the background electrons. The excitation of the plasma wakefield and amplitude of the perturbed electron density behind the beam are compared for two different background electron densities in the presence of a constant external magnetic field.
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