Light emitting devices with high light collimation

A wafer, comprising:

• a plurality of light-emitting devices, at least some of the light-emitting devices comprising:
• a multi-layer stack of materials including a light-generating region and a first layer supported by the light-generating region;
• and
• a support,
• wherein:
• the light-generating region is between the first layer and the support;
• a surface of the first layer is configured so that light generated by the light-generating region can emerge from the light-emitting device via the surface of the first layer;
• the surface of the first layer has a dielectric function that varies spatially according to a quasi-crystalline pattern;
• the quasi-crystalline pattern is formed of holes in the surface of the first layer;
• the quasi-crystalline 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;
• and
• the wafer includes at least about five light-emitting devices per square centimeter.

A light-emitting device, comprising:

• a multi-layer stack of materials including a light-generating region and a first layer supported by the light-generating region;
• and
• a support,
• wherein:
• the light-generating region is between the first layer and the supports;
• a surface of the first layer is configured so that light generated by the light-generating region can emerge from the light-emitting device via the surface of the first layer;
• the surface of the first layer has a dielectric function that varies spatially according to a quasi-crystalline pattern;
• the quasi-crystalline pattern is formed of holes in the surface of the first layer;
• and
• the quasi-crystalline 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 Lanibertian distribution of light.

A wafer, comprising:

• a plurality of light-emitting devices, at least some of the light-emitting devices comprising:
• a multi-layer stack of materials including a light-generating region and a first layer supported by the light-generating region;
• and
• a support,
• wherein:
• the light-generating region is between the first layer and the support;
• a surface of the first layer is configured so that light generated by the light-generating region can emerge from the light-emitting device via the surface of the first layer;
• the surface of the first layer has a dielectric function that varies spatially according to a pattern;
• the pattern is formed of holes in the 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;
• for the at least some of the light-emitting devices, the pattern has an ideal lattice constant and a detuning parameter with a value greater than zero;
• and
• the wafer includes at least about five light-emitting devices per square centimeter.