Image theory for DC problems involving a conducting half-space bounded by a perfect anisotropic impedance surface

Image theory is developed for the canonical direct current problem involving a point current source in a conducting half-space bounded by a planar perfect anisotropic surface (PAS). The anisotropy of the surface is perfect in the sense that it has infinite conductivity in one direction and zero conductivity in the perpendicular direction. A PAS plane can be realized by a layer of perfectly conducting parallel wires isolated from one another. It is seen that the image of a current point source is a quadrupole transverse-magnetic current extending along a half-infinite line