磁边缘场的偏转
Deflections in Magnet Fringe Fields
摘要：
一个横向多极展开推导出，包括纵向分量必然存在于不同的磁场剖面的区域。它可以用于精确的数值轨道跟踪通过边缘磁场区的磁铁，其端部设计引入没有外来组件，{ \it，即}麦克斯韦方程组不需要的场。在各种近似中获得的挠度的分析评价。主要强调的是一个“直线近似”，其中粒子轨道被视为直线通过边缘场区域。这种近似导致容易评估的品质因数，r.m.s.端部偏转与标称体偏转之比，可用于确定边缘场是否可以忽略。在"临界“情况下（例如在交叉区域附近）的挠度也用同样的近似法进行分析。
英文摘要：
A transverse multipole expansion is derived, including the longitudinal components necessarily present in regions of varying magnetic field profile. It can be used for exact numerical orbit following through the fringe field regions of magnets whose end designs introduce no extraneous components, {\it i.e.} fields not required to be present by Maxwell's equations. Analytic evaluations of the deflections are obtained in various approximations. Mainly emphasized is a ``straight-line approximation'', in which particle orbits are treated as straight lines through the fringe field regions. This approximation leads to a readily-evaluated figure of merit, the ratio of r.m.s. end deflection to nominal body deflection, that can be used to determine whether or not a fringe field can be neglected. Deflections in ``critical'' cases (e.g. near intersection regions) are analysed in the same approximation.
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