For many applications it would be desirable to operate a gyroklystron amplifier at the second harmonic, as this would reduce the applied magnetic field. In previous work1 harmonic amplification has been examined for cold, weakly relativistic beams; i.e. nk⊥rL ≪ 1 where n is the harmonic number, k⊥ the perpendicular wavenumber, and ]rL the Larmor radius. We will extend this analysis to include moderately relativistic and relativistic beams with a spread in velocity. The distinction between moderately relativistic and relativistic is that in the former we assume that the beam is weakly relativistic but nk⊥rL, is not necessarily small, and in the latter we use the full set of equations, including guiding center drift and changes in axial momentum. A comparison is made among the three models.
P. E. Latham,
"Harmonic operation of gyroklystron amplifiers", Proc. SPIE 1576, 16th International Conference on Infrared and Millimeter Waves, 15762T (1 October 1991); doi: 10.1117/12.2297814; https://doi.org/10.1117/12.2297814