Theoretical analysis of planar pulse microwiggler

Magnetic field distributions of a planar pulse microwiggler are studied analytically and numerically. Exact solutions of two-dimensional magnetic fields are derived, and the formulae show that along the electron axis the fields have a variation close enough to a sine wave. We also investigate wiggler field errors due to machining tolerance and effects of the field errors on trajectories of electron with the help of numerical simulations. The results are critical for a successful operation of CAEP compact free-electron laser experiment under preparation.