Electric Field Optimization of High Voltage Electrode

In this paper, we analyze the possibilities of using special shaped electrodes to decrease negative impact of fringe effect. Two major papers in the scientific literature on this topic are reviewed. The verification of their results is carried out with help of COMSOL Multiphysics. The electric field uniformity for plane-parallel geometry is confirmed. It is demonstrated that the usage of these electrodes for axisymmetric structures is incorrect. A new method of searching for special shape electrodes based on the principle of curve curvature regulation is described. This algorithm allows us to find contour for disk electrode. Unlike other iterative algorithms, the obtained contour is described by the analytical equation, rather than by an array of coordinates. It means that it can be scaled with unchanged ratio of electrode's thickness to electrode-plane distance.