In one embodiment of a solar concentrator, a tailored aspheric lens augments the solar-concentrator performance of a concave mirror, widening its acceptance angle for easier solar tracking, making it more cost-competitive for ultra-large arrays. The molded-glass secondary lens also includes a short rod for reducing the peak concentration on a photovoltaic cell that is optically bonded to the end of the rod. The Simultaneous Multiple Surface method produces lens shapes suitable for a variety of medium and high concentrations by mirrored dishes. Besides the rotationally symmetric parabolic mirror itself, other aspheric deviations therefrom are described, including a free-form rectangular mirror that has its focal region at its edge.