NONLINEAR INTERACTION THEORY FOR CROSSED-FIELD DISTRIBUTED-EMISSION AMPLIFIERS.
Abstract
A generalized nonlinear electron-wave interaction theory is developed for the crossed-field emitting-sole amplifier in order to explain the physical phenomena involved in the interaction and ultimately to provide a basis for design. The system equations are nonlinear integro-differential equations developed from the Lorentz force equation, the continuity equation, Poisson's equation and the one-dimensional equivalent transmission-line equation. The effects of d-c, r-f and space-charge forces are taken into account and secondary emission from the sole electrode is included in the theory. Solution of the system equations on a digital computer involves following a set of N charge groups through the interaction region using electron phase position and interaction length as the independent variables. The number of system equations then becomes 4N+2. Solutions for operation above, below, and at cutoff are obtained and it is observed that below cutoff operation results in higher amplifier gain. An enhancement in amplifier gain is also observed for larger initial amplitude r-f signals.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1966
- Accession Number
- AD0804789
Entities
People
- T. A. Demassa
Organizations
- University of Michigan