An LED (10) includes a chip with a light-emitting surface (140) and an encapsulation on the chip. The encapsulation has a light output surface (110) facing the light-emitting surface of the chip and has a convex surface (112) surrounding a concave surface (114). A portion of light (30) emitted by the light-emitting surface is refracted divergently via the concave surface to a predetermined area above and around the concave surface, and another portion of light (40) emitted by the light-emitting surface is refracted convergently via the convex surface to the predetermined area.