An optical system includes an optic and a reflector. The optic has a rear surface with a cavity configured to receive light from a light source and a front surface opposite the rear surface, the front surface configured to emit light processed by the optic and the front surface including a centrally disposed convex region. The front surface and the rear surface of the optic meet at a rim that extends peripherally with respect to the cavity. The reflector is disposed adjacent the optic and comprises a light-receiving end adjoining the rim, a light-emitting end, and a tapered region that extends between the light-receiving end and the light-emitting end.