Analyzing electron acceleration mechanisms in magnetized plasma using Sinh-Gaussian pulse excitation

The phenomenon of laser wakefield acceleration is one of the prominent mechanisms to accelerate electrons to very high energies within a very small propagation distance. In this study, we have chosen Sinh-Gaussian laser pulse with static magnetic field perpendicular to direction of propagation of pulse. Analytical solution for chosen electric field is obtained from a generalized differential equation of laser wake potential. Hence, expressions for wakefield and electron energy gain are also obtained. Using feasible parameters, it is observed that when laser field amplitude increases from 3.85x1011\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3.85 \times 10<^>{11} $$\end{document} to 4.81x1011V/m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4.81 \times 10<^>{11} \;{\text{V}}/{\text{m}}$$\end{document}, electron energy gain increases from 102.504 to 160.163 MeV in the absence of external magnetic field and 103.258 to 160.918 MeV in an external magnetic field of 40 T. So, laser field amplitude and strength of magnetic field both have direct impact on electron energy gain and enhance in energy gain can be seen. Our research will be useful for the researchers to obtain a more energy efficient electron acceleration mechanism.