A lighting system includes an array of domed light emitting diodes covering a surface area of a substrate and two optics for processing emitted light. The first optic includes an inner surface facing the array and an exterior surface facing away from the array. The second optic includes grooves extending away from the array. The inner surface of the first optic can form a cavity that is large relative to the array. For example, the cavity can have a volume exceeding the volume of a cube, where each side of the cube has the surface area of the array.