Automatic arrangement of fictitious charges and contour points in charge simulation method for polar coordinate system

Abstract

We have used genetic algorithms (GA) to decide an appropriate arrangement of both fictitious charges and contour points in charge simulation method (CSM) for 2D electrode system with asymmetrical structure. We calculated the potential distribution around two cylindrical electrodes above a grounded plate electrode. In this paper, an electrode differs remarkably from the other in the potential and the size in comparison with previous research. We describe the radial r- and direction angel θ-components of the charge positions and the θ-components of the contour-point positions as genes. First, we placed fictitious line-charges and contour points at random inside the electrodes and on the surface of electrodes, respectively. The arrangement was adjusted automatically by using GA. Also, the appropriate numbers of the charges and the contour points are assigned to each electrode.