Influence of Gaussian, Super-Gaussian, and Cosine-Gaussian Pulse Properties on the Electron Acceleration in a Homogeneous Plasma

Abstract

In this paper, the process of electron acceleration in a homogeneous plasma is determined for the Gaussian pulse (GP), super-GP, and cosine-GP (CGP). In addition to the wakefield ( $E_{w}$ ) behind the laser pulses, the expressions for the electron energy gain and density perturbation are obtained and compared with each other for all these types of laser pulses by making the pulse duration the same as the electron plasma period. The analytical results show that the amplitude of wakefield depends on the laser intensity, pulse wavelength, pulselength, and plasma electron density. By comparing the results, the CGP is found to be most significant as in this case the electron can be accelerated up to 800 MeV when $I=3\times 10^{22}$ (W/m2), $\lambda =820$ nm, and $n=3.4\times 10^{24}\text{m}^{-3}$ .