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 \(\sim {10}^{19}{\text{W}}/{{\text{cm}}}^{2}\) where the ion density is \(\sim {10}^{23}{{\text{m}}}^{-3}\) in plasma channel.

在本文中，开发了一种在等离子体通道中使用两个交叉且相同的激光脉冲进行电子加速的分析形式。通过利用径向偏振 (RP) 交叉聚焦激光脉冲，净电子能量增加，电子衍射减少。该研究调查了各种参数（例如激光振幅、离子密度、初始动能、注入角度、激光脉冲持续时间和光斑尺寸）对预制等离子体离子通道内电子能量增益的影响。空间电荷场的存在限制了电子沿纵向的动态。因此，激光脉冲的横向分量沿着传播轴消失，而纵向分量提供纵向力。这种配置导致在激光强度下观察到 GeV 电子能量增益\(\sim {10}^{19}{\text{W}}/{{\text{cm}}}^{2} \)其中等离子体通道中的离子密度为\(\sim {10}^{23}{{\text{m}}}^{-3}\) 。