A nonlinear self-consistent frequency domain analysis of the orotron is presented. The problem is separated into a linear and a nonlinear part. In the frequency domain, the cavity and load are described by a linear admittance, whereas the behaviour of the electron beam under the influence of the e.m. field is described by a nonlinear admittance, which depends on both frequency and amplitude of the e.m. field. An operating point is found when the load admittance equals the beam admittance. The shape of the device line, i.e. the locus of the beam admittance in the complex plane, gives useful informations about the optimum system parameters. To check the analysis, the results have been compared with time domain calculations.
S. Lütgert, S. Lütgert,
"Frequency domain analysis of the orotron", Proc. SPIE 1576, 16th International Conference on Infrared and Millimeter Waves, 15767T (4 December 2017); doi: 10.1117/12.2297994; https://doi.org/10.1117/12.2297994