An illuminating module includes a first reflector having a curved first reflector surface, a reflector opening and a first focal point, and a light source disposed in the first reflector at the first focal point. A second reflector is mounted on a surrounding edge of the first reflector to configure the opening with shielded and unshielded portions, and has a second reflector surface facing the first reflector surface. A portion of the light rays from the light source which radiates toward the first reflector and which is reflected thereby toward the shielded portion is reflected by the second reflector surface back to the light source so as to be able to combine with the light rays that are reflected by the first reflector for passage through the unshielded portion.