Application of the Kelvin inversion to static conducting wedge problems

Abstract

The well-known Kelvin inversion is combined with electrostatic image theory for conducting wedges. This approach results in solutions for new conducting geometries, the static analysis of which can thus be accomplished in an effective and physically intuitive way. The paper introduces an accurate approximation for the wedge problem in terms of point sources in complex locations. Furthermore, the exact and approximate images are shown to be very useful when, applied together with the Kelvin inversion method. Novel and computationally simple results are obtained for certain static PEC problems that are quite challenging tasks for purely numerical electromagnetic solvers, owing to edge singularities and infinite volume.