A switchable display device (100) which is arranged to switch between a two-dimensional view mode and a three-dimensional view mode is disclosed. The switchable display device (100) comprises: a structure (104) of light generating elements (105-108) for generating light on basis of respective driving values; and optical directory means (110) for directing the generated light in dependence of an actual view mode, the actual view mode being either the two-dimensional view mode or the three-dimensional view mode. The switchable display device (100) is arranged to alternately display two-dimensional image data and three-dimensional image data, while the optical directory means (110) are switched synchronously; the 2D/3D switching is performed at a predetermined frequency, sufficiently high so that the observer can perceive a 2D window and a 3D window simultaneously.