Applied Physics
N 3, 2002

Three-dimensional electric field numeric calculation with universal algorithm of surface-charge singularities treatment based on Fikera's method

D. Greenfield
Research Institute for Electron & Ion Optics

M. Monastyrskii
General Physics Institute

   The algorithm of three-dimensional numeric computation of electrostatic fields based on solving first-kind Fredholm's integral equations with finite element approximation of surface geometry and surface charge distribution on a triangular mesh is proposed. Using Fikera's theorems for special treatment of surface charge singularities in the vicinity of electrodes' vertexes and edges provides high calculation accuracy (up to five correct decimal digits) with acceptable CPU time consumption. It makes the software based on the proposed algorithm effective for solving the problems of precise charge particle optics.

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