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Detailed Analysis of Fringe Field Effects in the Large Hadron Collider

Abstract

We study single particle dynamics of the LHC in the map picture with emphasis on fringe field effects. Using the results of our fringe field map computation methods, it is rather easy to take into account in a rigorous way the influence of fringe fields. As indicators of the nonlinear dynamics we use tune footprints, tune shifts, resonance strengths and resonance webs. A total of 10 situations are studied, from the simple to the more complex. Comparisons are presented which are meant to clarify topics like: is the exact shape of fringe fields important, relative importance of individual multipole components in the fringe fields, and relative importance of fringe fields with respect to body errors.

B. Erdelyi, M. Berz, K. Makino, MSUCL-1129, Michigan State University (1999).

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