A lens structure is pre-formed with features that facilitate accurate alignment of a light emitting chip within the lens structure. To ease manufacturing, the features include tapered walls that allow for easy insertion of the light emitting chip into the lens structure, the taper serving to accurately align the light emitting chip when the chip is fully inserted. The taper may include linearly sloped or curved walls, including complex shapes. An adhesive may be used to secure the light emitting chip to the lens structure. The light emitting chips may be picked-and-placed into an array of lens structures, or picked-and-placed onto a substrate that may be overlaid by the array of lens structures.