In this paper exact analytic conditions for absolute instability in the cyclotron resonance maser are presented for the case of a cold-beam, lossless circular waveguide and infinite interaction length in the axial direction. The conditions are expressed in terms of the parallel beam velocity, the applied magnetic field strength, and the strength of the coupling between the beam and waveguide modes. The results are applicable to both the gyrotron and cyclotron autoresonance maser operating regimes.
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John A. Davies (1989) studied this question.
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