Analysis of a storage ring combined-function magnet: trajectory calculation and alignment procedure

Using an accurate trajectory calculation based on the measured magnetic field, a standard alignment procedure for a straight combined-function dipole magnet is described. The nonlinear equation of a particle is integrated analytically as well as numerically to obtain and compare the path length of a reference particle, the effective length of the magnet and linear transfer matrix elements. Using calculated results, an alignment scheme for the two families of combined-function magnet in SPEAR3 is proposed.