A display comprises a display panel, a polarizer, a polarization rotator, and a scatterer arranged to scatter light having a first polarization as compared with a second polarization. The display can be switched between 2D and 3D modes by operating the polarization rotator. In 3D mode, the polarization rotator transmits light with relatively little change to its polarization. Light transmitted by the scatterer is used to present three-dimensional images. In 2D mode, the polarization rotator alters the polarization of the light, and light that is scattered by the scatterer is used to present a two-dimensional image. The polarization rotator may be arranged so that light incident on a first area thereof undergoes a different change in polarization to light incident on a second area, to simultaneously present 2D and 3D images.