Linear beam dynamics effects of three dimensional static magnetic fields of insertion devices at SRRC

To understand the effects of the insertion devices on beam dynamics, Hamiltonian equations of charged particles in the presence of the insertion devices have been studied. Fields with insertion devices are considered to be periodic in the longitudinal direction with period length λ_s. The magnetic fields of the different types of magnet structure, namely AGID, APID and EPU, are derived and discussed. The linear beam dynamics effects for different kinds of insertion devices can be obtained directly from the canonical equations of the Hamiltonian mechanics