Abstract
ABSTRACT The dispersion equations are developed using admittance matching techniques for both the crossed-field double-beam forward-wave amplifier and the double-beam drift-space amplifier. The input boundary value problem is solved by matching the a.c. displacement and the a.c. charge density at the input boundary. The gain is found to be considerably greater for the double-beam device than for each of the beams acting separately. The relative ease of obtaining Brillouin flow with thin beams in practical devices makes this an attractive way of increasing the gain. A non-linear analysis is made and the results for the two-beam case are compared with those for a thick Brillouin stream and those for a non-slipping laminar stream. Graphs are presented showing the reduction in gain due to d.c. slip in crossed-field interaction.
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