Electrostatic Image Theory for an Anisotropic Half Space Slightly Deviating fromTransverse Isotropy

摘要

Electrostatic image theory developed earlier for a point charge in an isotropichalf space in front of an anisotropic half space with transverse isotropy is extended to an anisotropic half space with a slight deviation from transverse isotropy. Two possible image solutions are given: one a combination of a point charge and a planar surface charge, another one, a combination of a point charge and a half-infinite line charge. Both images are shown to give the same potential in the isotropic half space. An analytical expression for the potential at the interface is found for a tilted uniaxial anistropic half space and the effect of the tilt angle is studied numerically.