The equivalence principle for two-dimensional anisotropies

The mathematical foundation of the equivalence principle for an electromagnetic field in anisotropic regions that characterize two-dimensional problems is presented. It is shown that in the absence of polarization coupling, the equivalence principle retains the same functional form as in the homogeneous isotropic case, with the equivalent currents being defined in the same manner as in the isotropic case. Even though such a formulation appears simple, the basic physical processes, such as lack of reciprocity, optical rotatory power, inhomogeneous character of elemental wave behavior, etc., are properly accounted for by the point source responses which are polarization dependent. Only the H-polarization case has been treated explicitly; the corresponding E-polarization results are obtainable via duality.<>