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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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References

Stolz, C., Bigue, L., and Ambs, P., “Implementation of high-resolution diffractive optical elements on coupled phase and amplitude spatial light modulators,” Appl. Opt., vol. 40, no. 35, pp. 6415–6424 (2001).Google Scholar
Tudela, R., Labastida, I., Martín-Badosa, E., Vallmitjana, S., Juvells, I., and Carnicer, A., “A simple method for displaying Fresnel holograms on liquid crystal panels,” Opt. Commun., vol. 214, pp. 107–114 (2002).Google Scholar
Zhu, L. and Wang, J., “Arbitrary manipulation of spatial amplitude and phase using phase-only spatial light modulators,” Sci. Rep., vol. 4, art. no. 7441 (2014).CrossRefGoogle ScholarPubMed
Siemion, A., Sypek, M., Suszek, J., Makowski, M., Siemion, A., Kolodziejczyk, A., and Jaroszewicz, Z., “Diffuserless holographic projection working on twin spatial light modulators,” Opt. Lett., vol. 37, pp. 5064–5066 (2012).Google Scholar
Makowski, M., Siemion, A., Ducin, I., Kakarenko, K., Sypek, M., Siemion, A., Suszek, J., Wojnowski, D., Jaroszewicz, Z., and Kolodziejczyk, A., “Complex light modulation for lensless image projection,” Chin. Opt. Lett., vol. 9, art. no. 120008 (2011).Google Scholar
Liu, J.-P., Hsieh, W.-Y., Poon, T.-C., and Tsang, P. W. M., “Complex Fresnel hologram display using a single SLM,” Appl. Opt., vol. 50, no. 34, pp. H128–H135 (2011).Google Scholar
Song, H., Sung, G., Choi, S., Won, K., Lee, H., and Kim, H., “Optimal synthesis of double-phase computer generated holograms using a phase-only spatial light modulator with grating filter,” Opt. Exp., vol. 20, pp. 29844–29853 (2012).Google Scholar
Gerchberg, R. W. and Saxton, W. O., “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.), vol. 35, pp. 237–246 (1972).Google Scholar
Yeom, J., Hong, J., Jung, J., Hong, K., Park, J., and Lee, B., “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett., vol. 9, art no. 120009 (2011).Google Scholar
Pasienski, M. and DeMarco, B., “A high-accuracy algorithm for designing arbitrary holographic atom traps,” Opt. Express, vol. 16, pp. 2176–2190 (2008).Google Scholar
Makowski, M., Sypek, Ma., Kolodziejczyk, A., and Mikula, G. “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng., vol. 44, no. 12, art no. 125805 (2005).Google Scholar
Tsang, P.W.M., Chow, Y.T., and Poon, T.-C., “Generation of edge-preserved noise-added phase-only hologram,” Chin. Opt. Lett., vol. 14, art no. 100901 (2016).Google Scholar
Buckley, E., “Holographic laser projection technology.” Proc. SID Symp., 1074–1078 (2008).Google Scholar
Buckley, E., “Real-time error diffusion for signal-to-noise ratio improvement in a holographic projection system,” J. Disp. Tech., vol. 7, no. 2, pp. 70–76 (2011).Google Scholar
Tsang, P.W.M., Chow, Y.-T., and Poon, T.-C., “Generation of patterned-phase-only holograms (PPOHs),” Opt. Express, vol. 25, pp. 9088–9093 (2017).Google Scholar
Tsang, P.W.M., Chow, Y.-T., and Poon, T.-C., “Generation of phase-only Fresnel hologram based on down-sampling,” Opt. Express, vol. 22, pp. 25208–25214 (2014).Google Scholar
Tsang, P.W.M., Chow, Y.-T., and Poon, T.-C., “Enhancement on the generation of sampled phase-only holograms,” Chin. Opt. Lett., vol. 13, art no. 060901 (2015).CrossRefGoogle Scholar
Tsang, P.W.M., Chow, Y.-T., and Poon, T.-C., “Generation of complementary sampled phase-only holograms,” Opt. Express, vol. 24, pp. 23390–23395 (2016).Google Scholar
Leportier, T. and Park, M.C., “Generation of binary holograms for deep scenes captured with a camera and a depth sensor,” Opt. Eng., vol. 56, art no. 013107 (2017).Google Scholar
Liu, J.-P., Yu, C., and Tsang, P.W.M., “Enhanced direct binary search algorithm for binary computer-generated Fresnel holograms,” Appl. Opt., vol. 58, pp. 3735–3741 (2019).CrossRefGoogle ScholarPubMed

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