Abstract: Auxiliary lighting for motor vehicles. The lighting system of the invention may be configured so that it both mounts to and draws power from a socket on the vehicle. The lighting systems may use one or more heat management strategies to help dissipate heat generated during operation. A user may easily switch among two or more operational modes. In preferred modes, the user may select among available modes simply by relative rotational motion among housing components. Some aspects of the invention also use a combination of reflecting elements that provide a very favorable pattern of illumination. According to one such embodiment, a primary reflector includes a dichroic surface that reflects some light outward, but allows some light to pass. A secondary reflector is then used to capture and reflect the passing light outward as well.