Abstract
Under certain conditions an electron beam can be subjected to a process of scaling in which the transverse components of position, velocity, and force are scaled by a common factor while longitudinal components remain unchanged. In analyzing beams produced by electron guns under conditions where thermal velocity effects have to be taken into consideration, the application of transverse scaling simplifies the treatment by allowing a reduction in the number of independent parameters required. Design curves for Pierce-type guns are reproduced in normalized and condensed form. These curves may be used in choosing design parameters to produce a prescribed beam.
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