A thin-profile, optically efficient lighting device for use with, among other things, flat information displays, includes a combination of two optically coupled light propagating structures. The first structure may be a compound hyperbolic-elliptic element, adapted to receive light from at least one light source, such as a light emitting diode, and inject it into the second structure, which generally is larger and has hyperbolic-elliptic shape and a plurality of flux extractors. The latter redirect the light flux so that it propagates out of the second structure with a desired luminance and/or intensity distribution in a direction that is essentially perpendicular to the surface of the second structure. The flux extractors may also be of the active, i.e. wavelength-converting, type.