Title :
Particle tracking with generating functions of magnetic fringing fields
Author_Institution :
BESSY II Project, Berlin
Abstract :
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
Keywords :
electrodynamics; magnetic fields; particle beam dynamics; physics computing; Hamilton-Jacobi equation; REDUCE code; generating functions; magnetic fringing fields; particle tracking; Analytical models; Differential equations; Light sources; Magnetic analysis; Magnetic fields; Particle tracking; Power generation; Synchrotrons; Transforms; Undulators;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505720
