Optimized random phase tiles for non-iterative hologram generation

In this work, we introduce a technique for fast, high-quality, non-iterative generation of phase only holograms from both 2D and 3D scenes. In this technique, we generate an optimized random phase tile, which behaves like a small diffuser, spreading the amplitude of a section of the scene in all the hologram plane. Each section of the scene is multiplied by this tile and then propagated to the hologram plane by means of the Fresnel transform. The contribution from each tile is added, resulting in a phase only hologram of the scene. The optimized random phase tiles can be generated for any distance between the hologram plane and the object by using an iterative Fresnel algorithm. Afterwards, this tile can be used to generate holograms from any number of objects, without need for further iterative algorithms. These holograms present increased quality after reconstruction when compared with similar non-iterative hologram generation techniques. Both numerical and optical experiments are carried out, demonstrating the effectiveness of our proposal.