One embodiment of an optical system described herein comprises a source including light emitting diode chip and a homogenizer. One embodiment of the homogenizer comprises an entrance face positioned to receive light from the source, the entrance face having a first shape, a body configured to homogenize the received light and an exit face, the exit face parallel to the primary emitting face of the source. The homogenizer can emit light with a half angle that is at least 80% of the half angle of light entering the homogenizer.