论文标题
由稳态微置存储环的腔调节器中连贯的波动辐射驱动的纵向单束稳定性
Longitudinal single-bunch instabilities driven by coherent undulator radiation in the cavity modulator of a steady-state microbunching storage ring
论文作者
论文摘要
最近，已经提出并研究了基于稳态微置的储存环操作机制，其中包含激光腔调节器，为循环微键量提供了纵向焦点。在本文中，我们分析了连贯的起伏辐射对纵向单束多转变集体动力学的影响，从而探索了一种新的可能的不稳定性机制。我们将单个微键的多转向运动方程式作为调制器和其余存储环中的两组差方程。然后，可以通过引入未驱动器平均相位空间坐标来获得色散方程。预测的不稳定性增长率与数值转弯跟踪模拟的合理一致性提供了基本假设的有效性。该分析应为腔调节器中的连贯的起伏辐射驱动的多转弯不稳定提供一些见解。还讨论了这种新的不稳定性机制与鲁滨逊不稳定性之间的差异。
Recently a mechanism of storage ring operation based on the steady-state microbunching has been proposed and investigated, which contains a laser cavity modulator providing the longitudinal focusing for the circulating microbunches. In this paper we analyze the impact of the coherent undulator radiation on the longitudinal single-bunch multi-turn collective dynamics, exploring a new possible instability mechanism. We formulate the multi-turn equations of motion for the single microbunch as two sets of difference equations in the modulator and in the remaining storage ring. The dispersion equation can then be obtained by introduction of the undulator-averaged phase space coordinates. The predicted instability growth rate shows reasonable agreement with the numerical turn-by-turn tracking simulations provided validity of the underlying assumptions. The analysis shall provide some insights for the coherent undulator radiation driven multi-turn instability in the cavity modulator. Differences between such a new instability mechanism and the Robinson instability in a conventional radio-frequency-based storage ring are also discussed.
