Lens and method of producing a lens

A lens, comprising

• at least one first interface acting as a refractive entrance surface for at least one light ray;
• at least one second interface acting as a total inner reflective (TIR) surface for the light ray entering the lens through the first interface;
• and
• at least one third interface acting as a refractive exit surface for the light ray reflected at the second interface,
• wherein the second interface and the third interface are shaped such that at least two light rays having a diverging angle to each other and impinging under an arbitrary solid angle onto the first interface exit the lens in an area of the third interface substantial parallel to each other and in a common direction of space,
• the third interface is shaped such that it has at least area by area a normal vector neither parallel nor perpendicular to the common direction of space,
• the at least two light rays are substantial non-parallel to each other until exiting the third surface, and
• the shape of at least one first section of the second interface is based on a polynomial first function, the first function determining the angle of reflection of the light ray reflected at the first section of the second interface depending on a first incident angle of the light ray on the first interface.