Electron acceleration in a homogeneous plasma by Bessel‐Gaussian and Gaussian pulses

The process of electron acceleration by both Bessel‐Gaussian (BG) and Gaussian (G) laser pulses has been investigated comparatively in a homogeneous plasma. Starting with the hydrodynamics fluid and the Maxwell's equations, the three corresponding equations could be acquired which allow us to evaluate electron density perturbations ( ), wakefield ( E w ) and electron energy‐gain ( Δ W ) respectively for both pulses. Here, the pulse duration and the electron plasma period are taken the same, and by utilizing the perturbation theory the proposed equations have been solved. The analytical results show that the wakefield which leads to electron acceleration, depends on pulse intensity ( I ), pulse length ( L ), pulse wavelength ( λ ) and plasma density ( n ). Furthermore, by comparing the outcomes, the BG pulse is found to be most suitable for wakefield excitation. The pertinent electron could be accelerated up to 90 MeV if I = 4 × 10 21 W/m 2 , L = 20 µm and n = 5.318 × 10 24 m −3 . Our results are in a good agreement with experimental data reported in literature.