
Accession Number : AD0841853
Title : RELATIVISTIC EFFECTS IN THE TRAVELINGWAVE AMPLIFIER.
Descriptive Note : Final rept. on Phase 1,
Corporate Author : MICHIGAN UNIV ANN ARBOR ELECTRON PHYSICS LAB
Personal Author(s) : Tallerico, P. J.
Report Date : SEP 1968
Pagination or Media Count : 257
Abstract : A relativistically correct twodimensional theory is developed for the analysis of highpower, axially symmetric traveling amplifiers in order to investigate the physical phenomena involved in the interaction process. An approximate model which includes the effects of magnetic flux linking the cathode is developed for dc relativistic electron flow; the corresponding equilibrium solutions are used to establish the parameters in the nonlinear theory. A set of nonlinear integrodifferential equations for the system is derived from the relativistic Lorentz equations of motion, the onedimensional equivalent transmissionline equation, the wave equation and the continuity of charge relation. The above general equations are applied to two electron stream models: the first is a ring model which permits the effects of nonlaminar flow and spacecharge forces to be evaluated. The second model employs approximate laminarflow spacecharge force expressions. Numerical solutions are presented and discussed, with the major emphasis on the diskmodel solutions. Some topics in the linearized theory of the travelingwave tube are discussed. Several of the largesignal results are suggested by the linear theory. (Author)
Descriptors : (*TRAVELING WAVE TUBES, INTERACTIONS), MICROWAVE AMPLIFIERS, ELECTRON BEAMS, ELECTROMAGNETIC RADIATION, THEORY, EQUATIONS OF MOTION, SPACE CHARGE.
Subject Categories : Electrical and Electronic Equipment
Distribution Statement : APPROVED FOR PUBLIC RELEASE