论文标题
血浆加速器中三维BETATRON振荡和辐射反应的建模
Modeling of three-dimensional betatron oscillation and radiation reaction in plasma accelerators
论文作者
论文摘要
BETATRON振荡是激光或光束驱动等离子体Wakefield加速器中常见的现象。在常规模型中，等离子体唤醒为相对论电子提供了线性焦点，并且电子在一个横向方向上振荡，betatron频率成比例为$ 1/\sqrtγ$，其中$γ$是电子的lorentz因子。在这项工作中，我们通过考虑两个横向和一个纵向方向的振荡将该模型扩展到三维。在平均播放时间尺度中进行运动的长期方程是通过数值方法获得的，并与原始方程进行了比较。除了以前发现的辐射反应引起的纵向和横向阻尼外，我们还显示了基于我们的长期方程式的纵向相漂移，betatron相移和贝塔特隆极化变化的现象。这项工作对于将来的基于等离子体的高能加速器和山脉而言可能非常有价值。
Betatron oscillation is a commonly known phenomenon in laser or beam driven plasma wakefield accelerators. In the conventional model, the plasma wake provides a linear focusing force to a relativistic electron, and the electron oscillates in one transverse direction with the betatron frequency proportional to $1/\sqrtγ$, where $γ$ is the Lorentz factor of the electron. In this work, we extend this model to three-dimensional by considering the oscillation in two transverse and one longitudinal directions. The long-term equations, with motion in the betatron time scale averaged out, are obtained and compared with the original equations by numerical methods. In addition to the longitudinal and transverse damping due to radiation reaction which has been found before, we show phenomena including the longitudinal phase drift, betatron phase shift and betatron polarization change based on our long-term equations. This work can be highly valuable for future plasma based high-energy accelerators and colliders.
