Electron acceleration by Bessel–Gaussian laser pulse in a plasma in the presence of an external magnetic field

Abstract

The wakefield acceleration of electron by Bessel–Gaussian laser pulse in a homogeneous plasma in the presence of an external magnetic field is investigated and compared with results of electron acceleration by Gaussian pulse. For this purpose, the analytical expressions for the longitudinal wakefield behind the pulse and electron energy-gain are obtained and discussed for these types of pulses by making the pulse duration the same as the electron plasma period. The results show that the wakefields excited by laser pulses are strongly dependent on the plasma electron density, pulse intensity, pulse frequency and pulse length. Moreover, the results of the present analysis indicate that the wakefield and the electron energy-gain get enhanced for the larger external magnetic field, but with increasing laser intensity, the external magnetic field is unaffected on the electron acceleration. Using typical parameters and comparing the results obtained for two different laser pulses, the Bessel–Gaussian pulse is found to be significant as in this case the wakefield amplitude and electron energy-gain can be received up to 250 GV/m and 150 MeV, respectively when I = 3 × 1022 W m2 , Bo = 40 T and no = 7.5 × 10 m 24 3