论文标题
由太空电荷驱动的3D微观不稳定性理论
3D Theory of Microscopic Instabilities Driven by Space-Charge Forces
论文作者
论文摘要
显微镜或短波长，不稳定性因横梁质量的急剧降低和梁中噪声的强大扩增而闻名。空间电荷和相干同步辐射是这种不稳定性的主要原因。在本文中，我们介绍了由太空电荷驱动的这种不稳定性的严格3D理论。当我们的理论适用于具有3D耦合的任意加速器系统时，我们定义了条件。最后，我们得出一个线性积分方程，描述了这种不稳定性并确定可以将其简化为普通二阶微分方程时的条件。
Microscopic, or short-wavelength, instabilities are known for drastic reduction of the beam quality and strong amplification of the noise in a beam. Space charge and coherent synchrotron radiation are known to be the leading causes for such instabilities. In this paper we present rigorous 3D theory of such instabilities driven by the space-charge forces. We define the condition when our theory is applicable for an arbitrary accelerator system with 3D coupling. Finally, we derive a linear integral equation describing such instability and identify conditions when it can be reduced to an ordinary second order differential equation.
