Abstract

ABSTRACT The dispersion relations for the crossed-field double-beam drift space amplifier are developed in terms of the two beam currants and the plasma frequencies and the correspondence between the two equations is discussed. In general, there are two growing waves and two declining waves. Through control of the various operating parameters all these waves can be made unchanging. The propagation constants of the cyclotron and space-charge waves depend very much upon the values of the velocity slip parameter, ωp/ ωc and ωp/ ωc In the presence of a slow-wave circuit the fast growing wave is excited only for large values of the velocity slip parameter. The gain is found to be larger for the double-beam device than for a single-beam device. The growth rate is proportional to the interaction parameter and depends very much upon the bunching of the beam. A wide velocity distribution in the beam reduces the gain of the slow wave. The importance of the a.c. transverse field is also discussed.

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