ABERRATION-CORRECTED ROUNDED-EDGE GEODESIC LENSES

A method for the design of rounded-edge optical waveguide lenses is presented. The lenses constructed by this method are aberration-free, rotationally symmetric geodesic lenses, where the radius and the focal length are arbitrarily given initial parameters. The rounding section of these lenses is a part of the lens; that is, without the rounding, the lens would not be aberration free. The method involves conversion of uniform refractive index rounding sections of depression lenses into outer annuli of generalized Luneberg lenses. The profiles of the lenses constructed are at least one-time continuously differentiable.