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Sedin, James W. (1958-01-01) A large-signal analysis of beam-type crossed-field traveling-wave tubes. http://resolver.caltech.edu/CaltechETD:etd-01132006-083726


Type of Document Dissertation
Author Sedin, James W.
URN etd-01132006-083726
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-01132006-083726
Title A large-signal analysis of beam-type crossed-field traveling-wave tubes
Degree PhD
Option Electrical Engineering
Advisory Committee
Advisor Name Title
Roy Walter Gould Committee Chair
Lester M. Field Committee Co-Chair
Keywords
  • none
Date of Defense 1958-01-01
Availability unrestricted
Abstract
The equations governing the behavior of beam-type, crossed-field, traveling-wave tubes are formulated and presented. The geometry is assumed to be two-dimensional. The electron beam is treated as a number of cylinders of charge (it can be regarded as a number of layers of pencils the axes of which are parallel; these pencils can move in the two dimensions perpendicular to their axes) and space-charge forces are included by calculating the field due to these cylinders when they are placed between two perfectly conducting planes. The nonlinear equations are re-expressed in terms of normalized variables suitable for machine computation, and the procedure for solving these equations numerically is discussed. The equations are solved for a number of thin-beam, small-signal cases and the results are compared with previous analytical work. Numerical difficulties are encountered because the electric field approaches infinity in the neighborhood of a line charge. These difficulties are circumvented by a modification of the electric field in the vicinity of a line charge. Large-signal calculations are carried out for the special case of a thin sheet beam which would travel in a straight line in the absence of r-f effects. The computations are carried out for both forward- and backward-wave interaction by using several values of a space-charge parameter that cover typical operating conditions.
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