A multifrequency gyrotron

A theory of a gyrotron that generates at frequencies that are multiples of the cyclotron frequency is considered. In the steady-state regime, this radiation appears as a nonsinusoidal electromagnetic oscillation whose waveform depends on the amplitudes of its harmonics. The theory is developed for the weakly relativistic case and is based on known transverse momentum equations for electrons moving in an electromagnetic field. Under optimal conditions, the single-harmonic emission of a multifrequency gyrotron is more efficient than that of a single-frequency device.