AZIMUTHALLY DEPENDENT MODES ON UNIFORM SOLID ELECTRON BEAMS.

Abstract

The dispersion relation in the slow wave approximation for a finite electron beam in a finite magnetic field is solved for the azimuthal mode numbers m = plus or minus 1. The modes are grouped into space-charge, cyclotron and synchronous waves according to their characteristics. Normalized radial propagation constants and plasma frequency reduction factors are plotted versus the normalized longitudinal propagation constant with the ratio of plasma to vortex frequency as parameter. These plots are frequency independent and allow construction of the omega-beta diagram by a simple graphical method. Numerical results are presented for a beam-to-tunnel diameter ratio of 0.8. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0667905

Entities

People

  • Bruno Zotter

Organizations

  • United States Army Communications-Electronics Command

Tags

DTIC Thesaurus Topics

  • Construction
  • Cyclotrons
  • Diameters
  • Dispersion Relations
  • Dispersions
  • Electron Beams
  • Electrons
  • Frequency
  • Magnetic Fields
  • Space Charge

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Regression Analysis.

Technology Areas

  • Directed Energy
  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster