Optimized random phase only holograms in the Fresnel domain

Abstract

We present a fast and simple technique to generate phase only Fresnel holograms of 2D intensity objects. This technique uses a modified Gerchberg-Saxton (G-S) algorithm to optimize a random phase. This optimization takes into account the resolution, pixel size, reconstruction plane, and optical characteristics of the system that will reconstruct the holograms. The resulting Optimized Fresnel RAndom Phase (OFRAP) is then multiplied with the desired intensity target, and after performing a Fresnel transform and a phase extraction we obtain the corresponding phase only hologram. Numerical results show that generation of holograms with OFRAP achieves performance close to the traditional G-S algorithm directly applied to the intensity target. The proposed technique has the additional advantage that a single ORAP can be used to generate any number of holograms, thus eliminating the need for any further iterative algorithms. This proposal is ideal for the generation of holographic videos and other applications where dynamic generation of phase holograms to manipulate the light field are necessary, like neuronal photostimulation, holographic displays and aberration correction.