RF power requirements for a high intensity proton collider. Part I

It is shown that, in a high-intensity machine, with a very small synchronous phase angle, RF power is required not for stability reasons but to avoid phase modulation of the beam. During transients where the cavity tuner is out of equilibrium, the RF generator must also compensate for the reactive power unbalance. The optimum coupling between generator and cavity must take into account these various effects to minimize the overall RF power requirements.<>