1. An apparatus for illuminating a display, comprising: a light source for providing a plurality of light beams; and a light guide positioned to receive the light beams at a side surface of the light guide, wherein the light guide further includes at least a first and second set of light extractor features that are arranged with respect to each other so as to direct at least some of the received light beams out a bottom surface of the light guide towards a display, wherein the first and second set of light extractor features are rotated with respect to each other so that when the first set of light extractor features causes a shadow along a first region of the display as would be viewed from one of a predetermined range of viewing angles, the second set of light extractor features illuminates such first region so as to substantially eliminate the shadow in such first region.