Electron acceleration by two identical crossed laser pulses in a plasma channel

In this paper, an analytical formalism is developed for electron acceleration using two crossed and identical laser pulses in a plasma channel. The net electron energy is increased and the electron diffraction is decreased through the utilization of radially polarized (RP) crossed-focused laser pulses. The study investigates the impact of various parameters, such as laser amplitude, ion density, initial kinetic energy, injection angle, laser pulse duration, and spot size on electron energy gain within a preformed plasma ion channel. The presence of space-charge field confines the dynamic of electrons along the longitudinal direction. Consequently, the transverse component of the laser pulse vanishes along the propagation axis, whereas the longitudinal component provides a longitudinal force. This configuration leads to the observation of gain in energy of electrons in GeV at a laser intensity \(\sim {10}^{19}{\text{W}}/{{\text{cm}}}^{2}\) $\sim {10}^{19}\text{W}/{\text{cm}}^2$ where the ion density is \(\sim {10}^{23}{{\text{m}}}^{-3}\) $\sim {10}^{23}{\text{m}}^{-3}$ in plasma channel.