Abstract
ABSTRACT This article is the first part of a series of papers devoted to the computer solutions on the trajectories of the outermost electron in a beam focused by means of different magnet systems. The electron beam is produced by a low-noise gun which is immersed in a constant magnetic field. The beam voltage and beam current have the values usually found in X-band, medium-power, low-noise travelling-wave tubes. In the present paper, the boundary of an initially ‘ ideal’ beam which is confined by a uniform magnetic field throughout the drift space is determined (L) by linearizing and solving the paraxial-ray differential equation, and (2) by solving the exact equation with use of a computer. Emphasis is laid upon the determination of the size of beam ripples, the wavelength of rippling or the scalloping wavelength, and the lowest constraining magnetic flux density below which the linearization process does not hold valid. Part II of this series deals with the trajectories traced by the outer-edge electro...
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