On theory of cascade energy exchange between an electron and an open resonator field

Cascade energy exchange between longitudinal alternating electric field of an open resonator and an electron beam passing through а series ofthin diaphragms with small apertures located in the resonator field, has been discussed. Formulas have been derived for the output velocity and electronic efficiency of а thin cluster. А mathematical and numerical model has been constructed for the description of this interaction in kinematic approximation with regard to the electron volume charge. Based on this model, estimates of the interaction efficiency and the admissible phase and velocity variations have been made. The possiЬility to reduce essentially the field strength required for efficient deceleration of the beam electrons has been demonstrated.