Magnetic field effects in laser wakefield excitation: a study using Hermite-Gaussian laser pulses in homogeneous plasma

Laser wakefield acceleration (LWFA) has surfaced as a potentially effective method for generating electron beams with significant energy. The objective of this study is to examine the influence of a transverse static magnetic field on LWFA in a homogeneous plasma medium utilizing Hermite-Gaussian laser pulse. This study utilizes comprehensive theoretical studies and numerical simulations to examine the relationship between the properties of Hermite-Gaussian laser pulses, the strength of the transverse static magnetic field, and their combined effect on wakefield excitation. With the increase in external magnetic field from 0 to 40 T (1 Tesla = 10 kilogauss), generated laser wakes potential increases from 7.63 to 11.07 kV, while the generated laser wakefield increases from 0.65 to 0.94 GeV/m for laser field amplitude 4.3x1010V/m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4.3 \times 10<^>{10} \;{\text{V}}/{\text{m}}$$\end{document}. The knowledge acquired from this research enhances the collective comprehension of the complex interconnections that exist between magnetic fields and Hermite-Gaussian laser pulses. The results of this study hold significance for the development and enhancement of forthcoming experiments that seek to fully exploit the capabilities of LWFA for a range of purposes, such as compact particle accelerators and particle physics research.