A set of three planar electrodes positioned one above the other will be examined. Configurations like this are frequent in the process of circuit board design (electrostatic polarization, analysis of electrostatic discharge, reduction of parasitic capacitance, etc…), MEMS (micro-electro-mechanical system) design, but also in a case of analysis of numerous industrial and laboratorical instruments, machines and other equipment.
Three geometrically equivalent planar electrodes are placed in close proximity one of the other at coordinates z=1, z=0 and z=-1, and at the potentials 1V, 0V, -1V respectively. Robin Hood Solver has no problems solving such configurations as many other solvers available on the market do.
Pictures below show charge densities induced due to potential difference between the electrodes. As expected charge density is highest along the edges of the electrodes.
Electrostatic field analysis on sections z=0.5 and x=0 are presented below. Color legend indicates the strength of the field. Geometry of the design can be closely investigated and optimized according to desired criteria imposed upon field strength and structure.
Results of these calculations can be exported into a friendly formatted text files and analysed in other powerful programming and calculating environments such as Matlab, Wolfram Mathematica, R, etc.