The lighting panel has a first face for receiving light from a source and a second face. The panel includes a first and a second sheet of transparent dielectric material. Each sheet has a smooth surface on one side and is corrugated on the other side. The surfaces forming the corrugations intersect at 90.degree. the smooth surface on the first side is at 45.degree. to the surfaces of the corrugations on the other side of each sheet. The smooth surface of the first sheet forms the first face of the panel, the corrugated surface of the first sheet is adjacent to the smooth surface of the second sheet, with the direction of the corrugations on the second sheet set at a predetermined angle .alpha. to the direction of the corrugations on the first sheet. Light thus enters the smooth surface of the first sheet and emerges from the corrugated surface of the second sheet. The sheets may be substantially planar. At least one of the sheets may also include light release mechanisms. The angle .alpha. may be set at substantially 90.degree., or may be varied to produce a desired light directionality.