Mixed boundary value problem of two non-identical circular conducting disks: An electrode configuration suitable for probing stratified media

The mixed boundary value problem of two dissimilar coaxial disks representing electrodes suitable for probing stratified media is solved. The problem is first formulated in terms of a set of vector dual integral equations. The solution is sought using the basis function expansion approach similar to Tranter's solution for the scalar dual integral equations. The method is found to converge quickly. The current flow patterns and the charge distributions from the solution are plotted for various parameters of the geometry.