ENERGY EXCHANGE IN CROSSED-FIELD SYSTEMS.
Abstract
The optimization of crossed-field systems is studied from the viewpoint of power output and efficiency by using variable-pitch slowwave circuits and depressed collectors. The nonlinear equations describing energy exchange between an electron beam and an r-f wave are derived, valid for variable phase velocity and variable electron beam velocity. These equations are simplified with the hard-kernel-bunch assumption which makes it possible to obtain closed-form solutions for the conversion of potential energy alone, the conversion of kinetic energy alone, and the combined conversion of potential and kinetic energy into r-f energy. The phase-velocity variations hand the concurrent change in electron beam velocity which are required to maximize power output are derived from the theory and presented for various parameters. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1964
- Accession Number
- AD0450300
Entities
People
- Klaus L. Volkholz
Organizations
- University of Michigan