Scalar Hertz potentials for nonhomogeneous uniaxial dielectric -- magnetic mediums

The scalar Hertz potential technique is applied to the field analysis in uniaxial dielectric -- magnetic mediums. These mediums may be either homogeneous or nonhomogeneous (with a nonhomogeneity of a restricted form). It is shown that the complete electromagnetic field in a uniaxial dielectric -- magnetic medium can be derived from two scalar Hertz potentials(plus, for certain types of problems, a small number of source -- specific auxiliary functions). The corresponding scalar Green functions are explicitly given for the homogenous case and applications for radiation and propagation problems are presented.