A lamp for emitting light, comprising a transparent sheet-like lightguide, with at least one light receiving side, a light emission front surface and a back surface opposite the front surface. The lamp further comprises a plurality of light sources, positioned in an array and optically coupled to at least one light receiving side. The back surface of said lamp comprises a plurality of optical extraction structures, for example provided in parallel curved lines. Furthermore, the lamp is substantially free from light scattering structures in a light path of the light to be emitted.