最小化动态孔径优化中共振驱动项的波动
Minimizing the fluctuation of resonance driving terms in dynamic aperture optimization
摘要：
动态孔径（DA）是储存环晶格的一个重要的非线性特性，它对束流注入效率和束流寿命有着重要的影响。一般来说，最小化共振驱动项（RDTs）和振幅相关的调谐位移是扩大DA的必要条件。在本文中，我们研究的RDTs沿环的波动和DA面积与双弯和多弯消色差晶格之间的相关性。结果发现，最小化RDT的波动是更有效的比最小化RDT本身在扩大DA，因此可以作为一个非常强大的指标在DA优化。此外，它被发现，最小化低阶RDT波动也可以减少高阶RDT，这不仅是更复杂的计算，而且更多。控制RDT涨落在扩大DA方面的有效性证实了在某些衍射限制储存环晶格中使用的非线性效应的局部抵消比全局抵消更有效。
英文摘要：
Dynamic aperture (DA) is an important nonlinear property of a storage ring lattice, which has a dominant effect on beam injection efficiency and beam lifetime. Generally, minimizing both resonance driving terms (RDTs) and amplitude dependent tune shifts is an essential condition for enlarging the DA. In this paper, we study the correlation between the fluctuation of RDTs along the ring and the DA area with double- and multi-bend achromat lattices. It is found that minimizing the RDT fluctuations is more effective than minimizing RDTs themselves in enlarging the DA, and thus can serve as a very powerful indicator in the DA optimization. Besides, it is found that minimizing lower-order RDT fluctuations can also reduce higher-order RDTs, which are not only more computationally complicated but also more numerous. The effectiveness of controlling the RDT fluctuations in enlarging the DA confirms that the local cancellation of nonlinear effects used in some diffraction-limited storage ring lattices is more effective than the global cancellation.
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