Accession Number : AD0725096

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

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Acton,F. S. ; Rosser,J. Barkley

Report Date : DEC 1970

Pagination or Media Count : 18

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)

Descriptors :   (*ELECTROSTATIC FIELDS, *POTENTIAL THEORY), PARTIAL DIFFERENTIAL EQUATIONS, COMPLEX VARIABLES, CONFORMAL MAPPING, APPROXIMATION(MATHEMATICS), ITERATIONS, FOURIER ANALYSIS, SERIES(MATHEMATICS), CATHODE RAY TUBES, CAPACITORS, VOLTAGE, ALGORITHMS

Subject Categories : Theoretical Mathematics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE