COMPUTATION OF THE SPREADING OF AN ELECTRON BEAM UNDER ACCELERATION AND SPACE-CHARGE REPULSION

Abstract

The known differential equation, which describes the spreading of a circular electron beam in an accelerating field under space-charge repulsion, is derived in a simplified form so that the general solution can be precomputed. The solu tion is discussed and is given in a diagram. All auxiliary calculations are listed in order that the beam radius can be found for any set of initial conditions. Only the diagrams and a slide rule are needed. Another independent method of computation for the same purpose, which may be useful under special conditions, is also included.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 18, 1963
Accession Number
AD0409705

Entities

People

  • G. E. Vibrans

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cathode Ray Tubes
  • Computations
  • Current Density
  • Differential Equations
  • Electric Fields
  • Electron Beams
  • Electrons
  • Emission
  • Equations
  • Equations Of Motion
  • Field Emission
  • Integrals
  • Massachusetts
  • Mathematical Analysis
  • Shape
  • Space Charge

Fields of Study

  • Physics

Readers

  • Aerosol Science/Aerosol Physics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Pulsed Power and Plasma Physics.

Technology Areas

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