Abstract
Abstract : Objectives were to complete a study of one-dimensional electrostatic plasmas using the discrete Hamiltonian method, and to construct a model of ridged high harmonic gyrtron oscillators using standard gyrotron modeling techniques. Ridged gyrotrons appear ideal for the future application of the multiple time scale, discrete Hamiltonian method. As with all gyrotrons, ridged gyrotrons are characterized by several primary time scales, which are the cyclotron period, the cavity RF field oscillation period, and the transit time through the gyrotron tube. If only one harmonic is being considered, then the cyclotron period and the cavity Radio frequency oscillation period need not be treated separately since only the difference between them has significance. For high harmonic emission, however, the ridged gyrotron appears to require the simultaneous treatment of multiple cyclotron harmonics and hence multiple harmonic time scales. In addition, mode competition, which can lead to coupling between multiple Radio frequency cavity modes, is possible and would also result in the need to treat several cavity frequencies simultaneously.
Published Version
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