Binary Computer-Generated Holograms by Simulated-Annealing Binary Search

Abstract

The binary computer-generated hologram (BCGH) has attracted much attention recently because it can address the high-speed binary spatial light modulator (SLM), such as a digital micromirror device (DMD) SLM. In this paper, our concern is the development of an algorithm to produce high-quality BCGHs. In particular, simulated annealing (SA) is an efficient algorithm used to produce a phase-only computer-generated hologram. In the study of SA for the production of a BCGH, we found some inherent shortcomings of SA, and the quality of the produced BCGHs is limited. Accordingly, we have modified SA and propose the simulated-annealing binary search (SABS) algorithm. We have also proposed a method to quickly determine the parameters for SABS. In the comparison with SA, the mean square error of the SABS BCGHs decreases by 32% on average. Therefore, the SABS is a promising technique for a high-quality holographic display by DMD.

What Binarization Method Is the Best for Amplitude Inline Fresnel Holograms Synthesized for Divergent Beams Using the Direct Search with Random Trajectory Technique?

“…Nowadays, DMD can display up to about 30 thousand images per second [ 2 ]. DMDs can be used in various tasks: holographic projection and 3D television [ 3 , 4 , 5 ], media characterization [ 6 ], compressing imaging [ 7 ], 3D printing [ 8 ], mode generation [ 9 ], spectroscopy [ 10 ], digital [ 11 ] and computer-generated [ 12 ] hologram reconstruction, information packaging [ 13 ], etc. The DMD operating principle allows for imaging of only binary images.…”