A four-vector formalism for anisotropic media

An electromagnetic four-vector formalism for anisotropic media is presented and compared to the six-vector formalism. It is shown that, if the material property tensors have a certain form, the four-vector approach significantly reduces mathematical complexity and enhances physical insight due to the more compact formulation and reduced dimensionality. The Green´s function for an electric current immersed in a uniaxial media is presented to show the effectiveness of the four-vector formalism and thus demonstrate its usefulness in the radiation and scattering analysis of antennas embedded in complex media environments.