SCALED CYCLOTRON-RESONANCE MASER EQUATIONS FOR A 2 RESONANT-FREQUENCYINTERACTION

We analyse a cyclotron resonance maser (CRM) operating simultaneously at two resonant frequencies of the same waveguide node which co-propag ates with the electron beam. A set of scaled equations describing the interaction are derived; from these constants of motion and expression s for the efficiency are obtained, Both linear and numerical solutions to ?he equations are given. We show that whereas, under certain condi tions, the single-frequency operation of the CRM and the free electron laser (FEL) may be modelled by a single system of scaled equations, t his is not possible for the case of two-frequency operation. It is sho wn that injection ol a low-frequency mode may stimulate electron bunch ing, and so enhanced emission, at a higher harmonic. For a large regio n of parameter space the lower frequency has the larger exponential gr owth rate; however, we show that there is a region where exponential g rowth of the lower frequency can be suppressed allowing high-frequency mode exponential growth to saturation. This may offer the prospect of novel CRM operation at higher frequencies.