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3 - Generation of Phase-Only Fresnel Hologram

Published online by Cambridge University Press:  07 January 2021

Peter Wai Ming Tsang
Peter Wai Ming Tsang
Affiliation:
City University of Hong Kong
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Summary

Phase-only Fresnel holograms have two major advantages over complex-valued or amplitude-only hologram. First, they can be displayed with a single phase-only SLM, leading to simplification on the holographic display system. Second, due to the high optical efficiency of phase-only holograms, the reconstructed image is brighter than that of an amplitude-only hologram. On the downside, the fidelity of the reconstructed image is degraded as a result of discarding the magnitude component of the hologram. In this chapter, a number of methods, each with pros and cons, for generating phase-only holograms are described. These methods can be divided into two types, iterative and the non-iterative. Iterative methods include the iterative Fresnel transform algorithm (IFTA) and its variants, which find their origin in the classical Gerchberg–Saxton algorithm (GSA). Reconstructed images of a phase-only hologram obtained with IFTA are generally good in quality, but the computation time is rather lengthy. Another iterative method, based on direct binary search (DBS), can be applied in generating binary phase-only holograms. Non-iterative methods are based on modifying the source image in certain ways prior to the generation of the hologram. These include noise addition, patterned phase addition, and downsampling. The modification is similar to overlaying a diffuser onto the image, so that the magnitude of the diffracted waves on the hologram is close to homogeneous. The phase component alone, therefore, can be taken to represent the hologram.

Keywords

hologram display systemsiterative phase-only hologram-generation methods: Gerchberg–Saxton algorithm (GSA)iterative Fourier/Fresnel transform algorithm (IFTA)mixed-region amplitude freedom (MRAF)multiple frame averaging noise reductionnon-iterative phase-only hologram-generation method: random noise addition (RNA)one-step phase retrieval (OSPR)patterned phase-only hologram (PPOH)sampled phase-only hologram (SPOH)edge-enhanced sampled phase-only hologram (EESPOH)complementary sampled phase-only hologram (CSPOH)binary phase-only hologram (BPOH)direct binary search (DBS)
Type
Chapter
Information
Computer-Generated Phase-Only Holograms for 3D Displays
A Matlab Approach
 , pp. 76 - 112
Publisher: Cambridge University Press
Print publication year: 2021

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