Simplified algorithms of computational holograms: I – for generation of the 3D images

Holography is an optical (interferometric-diffractive) technique that allows the recording and reconstruction of 3D images of objects, as a hologram carries the intensity and phase information of a ‘holographed’ object. For its study and realization, conventional, theoretical and experimental optical tools are applied. On the other hand, the evolution of computers in data processing and storage, has enabled the viability of computational holograms, the so-called computer generated holograms (CGH). Currently, the experimental implementation of CGHs is done through new opto-electronic devices such as spatial light modulators (SLM), high resolution CCDs cameras, in addition to new photosensitive materials; thus allowing the recording and optical reconstruction of wavefronts of three-dimensional objects and special optical beams. Thus, the purpose of these works is to present and make available to the academic, scientific and other areas of knowledge our studies and algorithms (routines) of computational holographic generation in an accessible and didactic way. Specifically, in this first article, the purpose is to study computer generated holography (CGH) from simplified algorithms (software) of virtual 3D images; as well as, to present simulation results of construction (recording) and numerical reconstruction (reading) of CGHs from simple 2D and 3D images using MATLAB. These present interesting possibilities for experimental realization through their optical reconstruction (reproduction) using SLMs devices to obtain 3D images.

Keywords:
Holography; Computer generated holograms; 3D images; Optics; MATLAB