Theory of Microwave Generation by an Intense Relativistic Electron Beam in a Rippled Magnetic Field.
Abstract
Motivated by the recent results of Friedman and Herndon the authors have investigated theoretically the stability of a waveguide enclosed relativistic electron beam in a rippled magnetic field. The presence of the ripple can couple negative energy beam modes to positive energy waveguide modes to produce instability and thereby generate microwaves. In the experiment the thickness of the beam is small compared to all other relevant lengths. The nonlinear dynamics of an infinitessimally thin sheet beam is analyzed. The system is described by the orbit equations for the particles, Maxwell's equations, a set of nonlinear boundary conditions across the moving surface and a continuity equation for the moving surface. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1973
- Accession Number
- AD0763337
Entities
People
- Edward Ott
- Wallace M. Manheimer
Organizations
- United States Naval Research Laboratory