Particle Trajectory Perturbations in Beam Handling Systems

This report discusses three types of perturbations on particle trajectories in beam handling systems due to space charge forces: (1) Owing to radial space charge forces the beam will expand in diameter in drift spaces along the beam orbit. (2) Owing to longitudinal space charge forces energy dispersion will increase along the beam trajectory when the beam is bunched. (3) While transiting cross magnetic fields particle trajectories on the inner and outer edge of monoenergetic beam are not similar; as a result there appears to be additional energy dispersion in the beam.