通过快速加速减轻包络不稳定性
Mitigation of envelope instability through fast acceleration
摘要：
在强流加速器中，空间电荷驱动的包线不稳定性是非常危险的。直线加速器被设计成通过保持每个晶格周期的零电流相位提前低于90度来避免这种不稳定性。在本文中，我们报告的不稳定性在一个周期性的螺线管和射频（RF）聚焦通道和一个周期性的四极和RF聚焦通道使用三维包络模型和自洽的宏观粒子模拟的加速效应。仿真结果表明，在两个通道中采用合理的加速梯度可以减轻包络不稳定性。这表明，在加速梯度足够高的直线加速器中，零电流相位超前可能高于90度，并且在加速器设计中打开了横向和纵向聚焦的附加自由度。
英文摘要：
The space-charge driven envelope instability can be of great danger in high intensity accelerators. Linear accelerators were designed to avoid this instability by keeping the zero current phase advance per lattice period below 90 degrees. In this paper, we report on the acceleration effects on the instability in a periodic solenoid and radio-frequency (RF) focusing channel and a periodic quadrupole and RF focusing channel using a three-dimensional envelope model and self-consistent macroparticle simulations. The simulation results show that the envelope instability can be mitigated with a reasonable accelerating gradient in both channels. This suggests that the zero current phase advance might be above 90 degrees in linear accelerators where the accelerating gradient is sufficiently high and opens additional freedom of transverse and longitudinal focusing in the accelerator design.
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