The disclosure provides a display system and a method for displaying a virtual image to a viewer An optical system of the disclosure includes a spatial light modulator, a light source, a Fourier transform lens, a viewing system and a processing system. The spatial light modulator is arranged to display holographic data in the Fourier domain, illuminated by the light source. The Fourier transform lens is arranged to produce a 2D holographic reconstruction in the spatial domain corresponding to the holographic data. The viewing system is arranged to produce a virtual image of the 2D holographic reconstruction. The processing system is arranged to combine the Fourier domain data representative of a 2D image with Fourier domain data representative of a phase only lens to produce first holographic data, and provide the first holographic data to the optical system to produce a virtual image.