Light-emitting devices, and related components, systems and methods are disclosed. The light-emitting device can include a multi-layer stack of materials and a support. The multi-layer stack of materials can include a light-generating region and a first layer supported by the light-generating region. The light-generating region can be between the first layer and the support. The surface of the first layer can be configured so that light generated by the light-generating region can emerged from the light-emitting device via the surface of the first layer. The surface of the first layer can have a dielectric function that varies spartially according to a pattern. The pattern can be formed of the holes in surface of the first layer. The pattern is configured so that light generated by the light-generating region that emerges from the light-emitting device via the surface of the first layer is more collimated than a Lambertian distribution of light.
