THE ELECTRON BEAM AS AN ELECTROMAGNETIC MEDIUM.
Abstract
This report presents a unified and comprehensive treatment of wave propagation phenomena in electron beams, with particular emphasis on fundamental physical aspects rather than specific applications. The theory is basically concerned with electromagnetic properties of the electron beams regarded as an electromagnetic medium. The first part of the work discusses the problem of proper representation of a beam with fluctuating boundaries, and describes two equivalent but conceptually different physical models. The first one is the familiar charge-current model; the second is a polarized model, representing the beam as a polarized medium. Other topics discussed in the first part are: general boundary conditions, dynamic equations and constitutive relations, as well as small-signal theorems and their interpretations. The second part of the report is concerned with wave propagation phenomena in uniform unbounded electron beams, in simple drift as well as in crossed-field operation. The matrix formulation used throughout the text provides a flexible mathematical tool for exploration of this fairly complex medium. A number of fundamental properties are derived directly from the inherent symmetry properties of the wave equation without the need for explicit solutions. Precise definitions are established for energy density and electromagnetic power density expressed in terms of the time- and space-dispersiveness of the electronic medium.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1966
- Accession Number
- AD0486688
Entities
People
- Tore Wessel-berg
Organizations
- Stanford University