Generalized Time-Space Periodic Modulation In Cyclotron Parametric Amplifiers

摘要

It is proposed to investigate the coupling of electron beam modes under the influence of parametric pumping fields. The effects of the complete set of time-space harmonics are included in the study, as well as additional coupling mechanisms created by pump harmonics. A particular condition, called the synchronous harmonic condition, is predicted and proposed for theoretical and experimental study. None of the time-space harmonics may be neglected in this condition created by a traveling wave-quadrupole pumping field.