BALLISTIC ANALYSIS OF MODULATED ELECTRON BEAMS
Abstract
A ballistic analysis is described of an electron beam in a two-cavity klystron, which was assumed to have infinite cross section, negligible space charge, nonrelativistic velocities, and gridded finite gaps. The operating parameters of a catcher gap for maximum efficiency and the velocity-filtering capabilities of a r-f gap interacting with a spent beam, at large signals were investigated. The behavior of an electron beam in a buncher gap was investigated using a graphic analysis based on the results given by the digital computer. The velocity and current distributions emerging from this gap were formulated. The graphic results were approached by successively approximating the transit-time correction factor. The results obtained by successive approximation were then used as initial conditions in analyzing the behavior of the electron beam in the first drift space. A Fourier series was derived which describes the various harmonics of the beam current as functions of the operating parameters of the buncher gap and the drift space, for large signals. The results are found to be in agreement with those in the literature. The exit current and the exit velocity from the second gap were formulated as implicit functions of entrance and exit times in forms applicable to a digital computer, and the operating conditions of the second gap were taken as parameters. The computer data were sorted for both a catcher gap and a velocity-filter gap by kinetic energy calculations. The catcher gap selected had an efficiency of 23.995 per cent.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 30, 1962
- Accession Number
- AD0406924
Entities
People
- I. Turkekul
Organizations
- Cornell University