A model of injection locked relativistic klystron oscillator

Summary form only given. This work provides an analytic study of the effects of cavity coupling on the current modulation of an intense relativistic electron beam (IREB). This problem is of considerable interest to many two-beam accelerator concepts where a modulated IREB is used as the driver, as cavity coupling may enhance the current modulation on the primary beam. It is also an important issue to the relativistic klystron oscillator and relativistic klystron amplifier, or a hybrid of the two. Coupling between the input cavity and the booster cavity affects the gap voltages, and to a large extent, determines whether a virtual cathode would be formed. We adopt a simple model where the cavity coupling is incorporated explicitly, including the effects of finite transit time. Steady state solutions are constructed these solutions are found to be in qualitative agreement with experimental results from Phillips Laboratory.