Three-Dimensional Space Charge Oscillations in a Hybrid Photoinjector

A new hybrid C-band photoinjector, consisting of a standing wave RF gun connected to a travelling wave structure, operating in a velocity bunching regime, has shown to produce an extremely high brightness beam with very low emittance and a very high peak current through a simultaneous compression of the beam in the longitudinal and transverse dimensions. A beam slice analysis has been performed in order to understand the evolution of the relevant physical parameters of the beam in the longitudinal and transverse phase spaces along the structure. A simple model for the envelope equation has been developed to describe the beam behavior in this particular dynamics regime that we term ”triple waist”, since all three dimensions reach a minimum condition almost simultaneously. The model explicitly analyzes the transverse envelope dynamics at the exit of the hybrid photoinjector, in the downstream drift where the triple waist occurs. The analytical solutions obtained from the envelope equation are compared with the simulations, showing a good agreement. Finally, these results have been analyzed also in terms of plasma oscillation to obtain a further physical interpretation of the beam dynamics