Abstract
The voltage and current modulation of ideal cylindrical electron beams in Brillouin flow, as well as beams in zero magnetic field, are studied by means of Laplace transform. With a large-diameter beam of this class, suddenly accelerated from a temperature-limited cathode and without transverse velocities, the minimum noise figure of an amplifier is found to be smaller than it would be for a narrow, essentially one-dimensional (filament or sheet) beam, or for a confined-flow beam with the same diameter, longitudinal velocity and direct current. Certain space-charge wave solutions obtained in field analyses of beams from shielded diodes, which have never been detected experimentally, are found to be nonexistent in the sense that no phenomenon taking place in a vacuum tube excites them.
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