SPACE CHARGE WAVES IN AN ELECTRON BEAM OF GAUSSIAN CROSS SECTION AND THE INTEGRAL EQUATION OF TRAVELING WAVE TUBES WITH ELECTRON BEAMS/OF ARBITRARY CROSS SECTION

Abstract

For reference only at each of the ASTIA offices. This report cannot be satisfactorily reproduced; ASTIA does not furnish copi s. DESCRIPTORS: (*Phonons, Electrons, Metals, Lead, Sodium.) Identifiers: Fermi surface. Some semi- uantitative estimates of the actual magnitude of image effects are presented. The phonon spectrum, including image ffects, is calculated using a model of ions immersed in and screened by a uniform electron gas. The magnitude of the calculated image effects (of the ord r of a few percent) is comparable to those observed in lead. This model is refined to take into account the Bloch character of the electron wave functions. U ing assumptions believed to be valid for certain metals, including sodium and aluminum, it is found that this refinement reduces the image effects by a remarkably large factor, of order 0.01. A SECOND, BUT CLOSELY RELATED, IMAGE EFFECT IS DISCUSSED. A phonon can decay with the generation of an electron-hole pair. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1960
Accession Number
AD0271888

Entities

People

  • M.h. Fischer
  • O.e.h. Rydbeck

Organizations

  • Chalmers University of Technology

Tags

DTIC Thesaurus Topics

  • Electron Beams
  • Electron Gas
  • Electron Holes
  • Electrons
  • Equations
  • Fermi Surfaces
  • Integral Equations
  • Metals
  • Space Charge
  • Traveling Wave Tubes
  • Traveling Waves
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

  • Materials Science and Engineering.
  • Plasma Physics.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.

Technology Areas

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