
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 2dimensional potential in this plane. Except for the very simplest geometries, one cannot handle even this 2dimensional problem very well. An iterative procedure is explained which can be used to get approximate 2dimensional 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 cathoderay 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