A holographic display includes a pixel array including one or more pixels, a holographic data source, a drive array, and a light source. Each pixel includes a phase-modulating structure and an amplitude-modulating structure. The holographic data source is configured to supply a holographic drive signal. The holographic drive signal includes, for each pixel in each of a plurality of time-varying holographic image frames, a phase component defining phase modulation for the pixel and an amplitude component defining amplitude modulation for the pixel. The drive array is configured to, for each pixel in each holographic image frame, modulate the phase-modulating structure according to the phase component and modulate the amplitude-modulating structure according to the amplitude component. The light source is configured to output coherent light to illuminate the one or more pixels of the pixel array.