Unipolarized Generalized Inhomogeneous TEM Plane Waves in Differential Geometric Lens Synthesis

Previous results have shown that one can have a generalized Transverse Electromagnetic (TEM) plane wave propagating in the u 3 direction in u 1 , u 2 , u 3 orthogonal curvilinary coordinates. The formal fields are functions of u 1 and u 2 only and have components in both these directions. The medium is inhomogeneous but isotropic, with formal propagation speed (with respect to the u 3 coordinate) a function of only u 3 . In this case the u 3 surfaces can only be planes or spheres. The case of constant φ surfaces for u 3 gave a class of TEM waves propagating in the φ