NUMERICAL CALCULATIONS OF CHARGED PARTICLE DYNAMICS IN A TWO DIMENSIONAL ELECTROSTATIC FIELD,

Abstract

The calculation of the trajectories of charged particles in an electrostatic field may be performed by the combination of two fairly common digital computing techniques. Firstly, thru application of relaxation techniques, the boundary value problem for solution of the Laplace equation is solved. Secondly, knowing the field and hence the force vector acting on the particle at each point within the field, the fundamental equation of Newtonian physics may be integrated by ordinary numerical process. In the application involved here, particle velocities are small as compared with the speed of light and Newtonian mechanics is sufficient. This report records the mathematical manipulations necessary to putting the problem into form for solution, the dimensions of the physical units involved, the computing block diagrams which lead to the computer program and specific sample runs the results of which were used in experimentation on the sputtering of gold. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 04, 1961
Accession Number
AD0682134

Entities

People

  • A. Hudson
  • R. S. Dummer

Organizations

  • General Dynamics

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Charged Particles
  • Computer Programs
  • Computers
  • Dynamics
  • Electrostatic Fields
  • Equations
  • Mathematics
  • Mechanics
  • Particles
  • Physics
  • Sputtering
  • Two Dimensional

Readers

  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics