An ophthalmic lens that includes a lens material having two opposing curved surfaces, the curved surfaces defining a lens axis; and a light scattering region surrounding a clear aperture. The clear aperture and the light scattering region are substantially centered on the lens axis, and the light scattering region has a plurality of spaced apart scattering centers (e.g., on a lens surface and/or embedded in the lens material) sized and shaped to scatter incident light, the scattering centers being arranged in a pattern that includes a random variation in spacing between adjacent dots and/or a random variation in dot size.