Three-dimensional numeric calculation of electrostatic field with universal algorithm of surface-charge singularities treatment based on the Fichera's method

Dmitrii E. Greenfield; Mikhail A. Monastyrskii

doi:10.1117/12.497994

1 April 2003 Three-dimensional numeric calculation of electrostatic field with universal algorithm of surface-charge singularities treatment based on the Fichera's method

Dmitrii E. Greenfield, Mikhail A. Monastyrskii

Author Affiliations +

Proceedings Volume 5025, Fifth Seminar on Problems of Theoretical and Applied Electron and Ion Optics; (2003) https://doi.org/10.1117/12.497994
Event: Fifth Seminar on Problems of Theoretical and Applied Electron and Ion Optics, 2001, Moscow, Russian Federation

Abstract

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

Citation Download Citation

Dmitrii E. Greenfield and Mikhail A. Monastyrskii "Three-dimensional numeric calculation of electrostatic field with universal algorithm of surface-charge singularities treatment based on the Fichera's method", Proc. SPIE 5025, Fifth Seminar on Problems of Theoretical and Applied Electron and Ion Optics, (1 April 2003); https://doi.org/10.1117/12.497994

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