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Two-dimensional nonlinear theory of double-stream cyclotron masers

A two-dimensional ((partial)/(partial)(theta) equals 0), nonlinear theory of double-stream cyclotron masers is presented in a cylindrical configuration. A dispersion relation, which describes small-amplitude, space-charge cyclotron waves on two co-propagating gyrating electron beams in a finite axial magnetic field, is derived and used to analyze the double-stream cyclotron maser instability. The sensitivity of the instability growth rate to axial momentum spread of the electrons within each beam is investigated. The saturation levels of the instability are obtained from simulations for parameter regimes of experimental interest.