Electron trajectories in a self-consistent wiggler field composed of a dipole lattice

We study the electron trajectories using two wiggler models. The first is a dipole wiggler (DW) constructed from the superposition of four arrays of individual magnetic dipoles with alternating orientations. This field has the advantage that since the field representation for each dipole is self-consistent, the aggregate field is also. The second model is the parabolic-pole-face (PPF) wiggler which is not self-consistent when wiggler imperfections are included. These two models are used to study the effects of wiggler imperfections on electron trajectories. In addition, the orbits in the PPF wiggler were qualitatively similar to those in the DW model.