MICROWAVE GENERATION BY MEANS OF INTERACTION WITH ANISOTROPIC MEDIA.
Abstract
The equations pertinent to the interaction of an electron beam and a stationary plasma with an electromagnetic wave are derived. The purpose is to investigate, on a small-signal basis, the generation of harmonics in a microwave beam-plasma system. The Boltzmann-Vlasov equation, with a constant viscous damping term to account for electron-neutral collisions, is used and all field quantities are expanded in a power series of an arbitrary expansion parameter E. The coefficients of each power of E are then expanded as harmonic functions in time whose amplitudes are slowly varying functions of position. An approximate set of equations is then given which in principle can be solved by the method of successive approximations. A device for studying amplification and harmonic generation in a beam-plasma system is in the initial design stages. A plasma column contained in a glass tube through which an electron beam is to be passed will ultimately be used. The coupling to the beam-plasma system will be accomplished by means of elliptic cavity couplers. These couplers will be movable for maximum coupling to each of the various harmonic components. The input impedance for a proposed elliptic cavity coupler has been calculated and is presented in this report. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1965
- Accession Number
- AD0626196
Entities
People
- C. A. Brackett
- G. T. Konrad
- Joseph E. Rowe
Organizations
- University of Michigan