A quadric reflector can have an approximately conical shape. The shape can tapers from a wide base to an apex. The apex can include an aperture, a mirror, and a set of one or more optical elements. A mirror can be positioned within an overhang enclosure of the device in a plane approximately parallel to a circular cross section of the conical shape. The mirror can reflect environmental light that is reflected by the quadric reflector into the aperture or reflect light emitting from the aperture onto the quadric reflector. The overhang enclosure can have a substantially conical shape which eliminates secondary reflection resulting from the environmental light reaching the aperture twice. Using the overhang enclosure to absorb the secondary reflection eliminates or minimizes banding.

Lighting devices and methods for providing daylight to the interior of a structure are disclosed. Some embodiments disclosed herein provide a daylighting device including a tube having a sidewall with a reflective interior surface, a light collecting structure, and a light reflector positioned to reflect daylight into the light collector. In some embodiments, the light collector is associated with one or more light-turning and/or light reflecting structures configured to increase the amount of light captured by the daylighting device. Optical elements may allow for the absorption and/or selective transmission of infrared light away from an interior of the daylighting device.