Peniotron interactions in gyrotrons II. Quantitative analysis †

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Abstract
Using the concept of beam modes and beam mode lines described in the preceding paper, it is shown that, the classical small-signal dispersion relation of gyrotrons derived in 1980 by Chu et al. contains terms which describe the relative interplay of peniotron and gyrotron interactions in gyrotron-type devices. However, due to the radial displacements of the beam (electrons which appear to have been neglected by Chu el al.), the stabilizing terms must be modified. When the location R0 of the guiding centres is such that J8-m(x) disappears, no s-harmonic gyrotron interaction can occur, leaving peniotron interaction as the only possible type of interaction.

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