A light-emitting device that includes an LED and a light extraction layer and the method for making the same are disclosed. The LED includes a substrate on which an active layer is sandwiched between a p-type layer and an n-type layer, the active layer generating light in a band of wavelengths about a central wavelength when holes and electrons recombine therein. The n-type layer, active layer, and p-type layer are formed on the substrate. First and second electrodes for providing a potential difference between the p-type layer and the n-type layer are included in the LED. The light extraction layer includes a clear layer of material having a first surface in contact with a surface of the LED and a second surface having light scattering features with dimensions greater than 0.5 times the central wavelength. The material of the clear layer can be polycrystalline or amorphous.