Image theory for DC problems involving a conducting half-space above an anisotropic impedance surface


  • I. V. Lindell,

  • M. J. Flykt


A novel image theory is introduced, applicable to dc problems involving current sources in an isotropic conducting half-space bounded by a planar, reciprocal, anisotropic impedance surface. The theory is a generalization of dc problems involving an isotropic impedance surface or a perfect anisotropic impedance surface with zero and infinite resistivities in two orthogonal directions on the plane, previously analyzed by these authors. The image for a point current source is a combination of an electric line current source and a transverse quadrupole magnetic line current source. The magnetic current component vanishes for vanishing anisotropy, while the electric current component vanishes for perfect anisotropy, of the impedance surface.