Dynamics of high-density uniform ellipsoidal electron bunches driven by a linear chirp

Understanding the focusing process of electron bunches after an RF cavity is important for designing ultrafast electron microscopy beamlines. A simple mean-field model is proposed for nonrelativistic compression of uniformly charged ellipsoids driven by initial linear chirp. Results from this model are compared with N-body simulations enabling a precise characterization of space charge effects near the focal point of the beam.