An Iterative Algorithm for Calculating Potentials near Small Groups of Finite Charged Plates.

Abstract

Good approximations for the potentials around condenser plate arrangements found in many pieces of equipment in electron optics can be had by passing a plane through the middle of the condenser and solving for a 2-dimensional potential in this plane. Except for the very simplest geometries, one cannot handle even this 2-dimensional problem very well. An iterative procedure is explained which can be used to get approximate 2-dimensional potentials in the neighborhood of a finite number of finite charged plates, whatever the geometry. For a simple geometry which occurs in the electrostatic lenses of cathode-ray tubes, convergence of the procedure was very fast. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0725096

Entities

People

  • F. S. Acton
  • J. Barkley Rosser

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Cathode Ray Tubes
  • Convergence
  • Cooperation
  • Electrical Engineering
  • Electron Optics
  • Electrons
  • Engineering
  • Geometry
  • Mathematics
  • Optics
  • Systems Engineering
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Electronics Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum Chemistry

Technology Areas

  • Microelectronics