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

摘要

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)