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 \(4.3 \times 10^{10} \;{\text{V}}/{\text{m}}\) $4.3\times {10}^{10}\text{V}/\text{m}$ . 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.