ON ELECTRODE DESIGN FOR AXIALLY SYMMETRIC ELECTRON GUNS

Abstract

IMPROVEMENTS IN A PREVIOUSLY REPORTED METHOD FOR DETERMINING ELECTRODE SHAPES FOR AXIALLY SYMMETRIC ELECTRON GUNS ARE DESCRIBED. The general method of attack is to obtain a series of differential equations which will be used to obtain the boundary conditions at the beam edge. These will then be used as boundary conditions for integrating Laplace's equation outward from the edge of the beam. The integration of Laplace's equation is made stable by the process of analytic continuation developed by Garabedian. The case of axially symmetric flow from a hollow cylindrical cathode in which all electron trajectories are invariant to translation parallel to the axis is discussed. Since the system considered has axial symmetry, attention is confined to a meridian plane with the cylindrical coordinates r and z. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1961
Accession Number
AD0270865

Entities

People

  • Kenneth J. Harker

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Axisymmetric Flow
  • Boundaries
  • Differential Equations
  • Electrodes
  • Electron Guns
  • Electrons
  • Equations
  • Flow
  • Symmetry
  • Trajectories
  • Translations

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Pulsed Power and Plasma Physics.

Technology Areas

  • Microelectronics