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Particle tracking with generating functions of magnetic fringing fields

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1 Author(s)
Wustefeld, G. ; BESSY II Project, Berlin

A construction scheme for generating functions (GFs) suitable for particle tracking across arbitrary magnetic fields is presented. The GF is approximated by a power series solution of the Hamilton-Jacobi differential equation with analytical expressions for the coefficients. This approach is applied to magnetic fringing fields, which are presented as simplified analytical expressions. A short REDUCE code transforms the vector potentials automatically into an expanded GF

Published in:

Particle Accelerator Conference, 1995., Proceedings of the 1995  (Volume:5 )

Date of Conference:

1-5 May 1995