In this paper, we have investigated the relativistic electron acceleration by plasma wave in an axially magnetized plasma by considering the self-magnetic field effects. We show that the optimum value of an external axial magnetic field could increase the electron energy gain more than 40% than that obtained in the absence of the magnetic field. Moreover, results demonstrate that the self-magnetic field produced by the electric current of the energetic electrons plays a significant role in the plasma wakefield acceleration of electron. In this regard, it will be shown that taking into account the self-magnetic field can increase the electron energy gain up to 36% for the case with self-magnetic field amplitude Ωs = 0.3 and even up to higher energies for the systems containing stronger self-magnetic field. The effects of plasma wave amplitude and phase, the ion channel field magnitude, and the electron initial kinetic energy on the acceleration of relativistic electron have also been investigated. A scaling law for the optimization of the electron energy is eventually proposed.

在本文中，我们考虑了自磁场效应，研究了轴向磁化等离子体中等离子体波的相对论电子加速度。我们表明，与不存在磁场的情况相比，外部轴向磁场的最佳值可以使电子能量增益增加40％以上。此外，结果表明，由高能电子电流产生的自磁场在电子的等离子体唤醒场加速中起着重要作用。在这方面，将显示出考虑到自磁场，对于自磁场振幅为Ωs的情况，可以将电子能量增益提高至36％。= 0.3，对于包含较强自磁场的系统甚至更高的能量。还研究了等离子体波振幅和相位，离子通道场的大小以及电子初始动能对相对论电子加速的影响。最终提出了用于优化电子能量的比例定律。