A light emitting device comprises a semiconductor diode structure configured to emit light, a substrate that is transparent to light emitted by the semiconductor diode structure, and a reflective nanostructured layer. The reflective nanostructured layer may be disposed on or adjacent to a bottom surface of the substrate and configured to reflect toward and through a side wall surface of the substrate light that is emitted by the semiconductor structure and incident on the reflective nanostructured layer at angles at or near perpendicular incidence. Alternatively, the reflective nanostructured layer may be disposed on or adjacent to at least one sidewall surface of the substrate and configured to reflect toward and through the bottom surface of the substrate light that is emitted by the semiconductor structure and incident on the reflective nanostructured layer at angles at or near perpendicular incidence.