1D Longitudinal Beam Dynamics of Laser Plasma Wakefield Accelerator

TL;DR

This paper derives an analytical 1D model of laser-driven plasma wakefields, analyzing how nonlinear effects influence wake oscillation frequency and beam dynamics, revealing that high order nonlinearities do not alter phase space topology.

Contribution

It provides a new 1D analytical solution for plasma wakefields including nonlinear effects and examines their impact on beam dynamics and phase space topology.

Findings

Oscillation frequency depends on wake and laser amplitudes.

High order nonlinear terms modify frequency but not phase space topology.

Analytical solutions enhance understanding of laser plasma wakefield behavior.

Abstract

In this paper, we get the 1D approximate analytical solution of the plasma electrostatic wake driven by the laser, and get the oscillating frequency of the wake modified by the nonlinear high order terms, and find that the frequency depends on the oscillating amplitudes of the wake and the laser which is the general nonlinear phenomenon. Finally we analyze the longitudinal beam dynamics in this electrostatic wake, and find that the high order terms don't change the topology of the longitudinal phase space.