动态孔径与高多极极限
The Dynamic Aperture and the High Multipole Limit
摘要：
跟踪研究表明，对于一个晶格的元素都有一个单场多极本，所有具有相同的顺序k，动态孔径接近非零极限时，k变得非常大。当k变大时，晶格的动态孔径和其他性质将被称为高多极极限。它将被证明，高多极极限提供了一个合理的估计的动态孔径的加速器，和其他属性的高多极极限下面找到的是有用的理解的稳定性的加速器。高多极极限很容易计算，它也提供了一个估计多少可以获得通过校正低场多极。上述结果将通过对简单单胞晶格和具有六个低β插入的RHIC晶格的跟踪研究来说明。
英文摘要：
Tracking studies have indicated that for a lattice whose elements all have a single field multipole present, all having the same order k, the dynamic aperture approaches a non zero limit when k becomes very large. The dynamic aperture and other properties of the lattice, as k becomes large, will be called the high multipole limit. It will be shown that the high multipole limit provides a reasonable estimate of the dynamic aperture of an accelerator, and the other properties of the high multipole limit found below are useful for understanding the stability of the accelerator. The high multipole limit is easily computed and it also provides an estimate of how much can be gained by correcting the lower field multipoles. The above results will be illustrated by tracking studies done with a simple one cell lattice, and with a RHIC lattice having six low beta insertions.
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