  This report documents the development of a versatile model for longitudinal
gradient bending magnets (LGB's) and its implementation in particle tracking
simulations. The model presented below may be used to represent an arbitrary
magnetic field profile, and was successfully implemented to represent two
different LGB's. After building a symplectic integrator for our model, we were
able to perform particle tracking studies. By producing phase space plots which
depicted stable trajectories, we were able to demonstrate that we had in fact
correctly implemented our symplectic integration scheme. In addition, we
produced stack representations for the bending component of the magnetic field
for each LGB and made preliminary comparisons between lattices implementing
this model and our own.
