Novel self-consistent linear theory of a gyrotron oscillator and experimental validation

Based on a linearized set of self-consistent equations describing the time-dependent self-consistent wave-particle interaction in a gyrotron oscillator, a spectral approach is used for determining the spectrum of stable and unstable self-consistent eigenmodes. The model is an extension of a recently developed model based on a moment approach in [1] and retains all the relevant system inhomogeneities such as cavity-wall and magnetic field profiles. It is shown that this model predicts a new set of eigenmodes in addition to the set of eigenmodes issued from the cold-cavity modes. The model, the numerical implementation together with results for a real gyrotron cavity will be presented, discussed and compared to experimental results.