The present disclosure involves an illumination apparatus. The illumination apparatus includes an n-doped semiconductor compound layer, a p-doped semiconductor compound layer spaced apart from the n-doped semiconductor compound layer, and a multiple-quantum-well (MQW) disposed between the first semiconductor compound layer and the second semiconductor compound layer. The MQW includes a plurality of alternating first and second layers. The first layers of the MQW have substantially uniform thicknesses. The second layers have graded thicknesses with respect to distances from the p-doped semiconductor compound layer. A subset of the second layers located most adjacent to the p-doped semiconductor compound layer is doped with a p-type dopant. The doped second layers have graded doping concentration levels that vary with respect to distances from the p-doped semiconductor layer.