Abstract: An apparatus for a volumetric display includes an imaging system having object and image planes, a source image generation apparatus for forming a source image in the object plane based on received image data, and a control apparatus for supplying image data to the source image generation apparatus. The source image generation apparatus includes a light source. The image data comprises a series of two-dimensional images. The imaging system includes a diffractive optical element and the control apparatus is arranged to generate at least one control signal to vary a wavelength of light emitted by the light source and/or a focal length associated with the diffractive optical element to vary the location of the image plane within a volume of real space in synchronism with the formation of the series of two-dimensional images in the object plane to construct a volumetric three-dimensional image based on the received image data.