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An approximate method is described for calculating electrostatic fields of rotational symmetry with arbitrary boundary conditions. The method is based on the computation of the surface charge density on the field forming electrodes. Successfully tested by well-known analytical solutions, the method is applied to the determination of electron trajectories in an electron gun with a point cathode. The ray tracing is done by the Runge-Kutta-Nyström procedure.

zeitschrift für naturforschung a

Ein Näherungsverfahren zur Berechnung rotationssymmetrischer elektrostatischer Felder mit beliebigen Randbedingungen und seine Anwendung auf einen Elektronenstrahlerzeuger mit Spitzenkathode