New simplified method for designing the smooth-transition gradient-index and geodesic waveguide lenses of radial symmetry

A concept of designing refractive-index and geodesic-description profiles for smooth-transition (non-full-aperture) waveguide lenses which is based on preliminary knowledge of the continuous deflection function is presented. Within the framework of this formulation the computations involved are significantly reduced in comparison with those resulting from a traditional description, and they provide exceptionally simple solutions, as proved by numerical examples.