A lens defined by a first lens surface and a second lens surface opposite to the first lens surface is disclosed. A first portion of the first lens surface is defined by a smooth surface profile function, and a second portion of the first lens surface is defined by a Fresnel surface profile function. The second portion of the first lens surface is around the first portion of the first lens surface. Also disclosed is a display device that includes the lens and an array of light emitting devices coupled with the lens for outputting light through the lens.