Phase-Only Hologram Encoding Based on One-Dimensional Grating Function
(2.Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China 201800)
【Abstract】A phase-only encoding method based on one-dimensional grating function is proposed. Based on double-phase hologram encoding technique, the complex amplitude image is encoded into a phase-only image, and then the image is directly loaded into the spatial light modulator for image reconstruction. During the optical reconstruction, a 4-f system with a low pass filter is used to select the diffraction order, and the first-order diffraction component is chosen for reconstruction. The one-dimensional grating encoding function can improve the energy of the first-order diffraction component. The quality of the reconstructed images is increased because there is no interference from zero-order information of the phase element. The numerical and experimental results show that the encoded amplitude and phase of the complex object can be reconstructed effectively, and the power of the first-order diffraction got from the proposed method is higher than that of two-dimensional checkboard encoding function.
【Keywords】 holography; computer generated hologram; phase modulation; one-dimensional grating; phase-only hologram;
(Translated by CAI ZJ)
 Slinger C, Cameron C, Stanley M. Computer-generated holography as a generic display technology [J]. Computer, 2005, 38 (8): 46–53.
 Kim S C, Kim E S. Fast computation of hologram patterns of a 3Dobject using run-length encoding and novel look-up table methods [J]. Applied Optics, 2009, 48 (6): 1030–1041.
 Kim S C, Hwang D C, Lee D H, et al. Computer-generated holograms of a real three-dimensional object based on stereoscopic video images [J]. Applied Optics, 2006, 45 (22): 5669–5676.
 Chen N, Park J H, Kim N. Parameter analysis of integral Fourier hologram and its resolution enhancement [J]. Optics Express, 2010, 18 (3): 2152–2167.
 Chen N, Yeom J, Jung J H, et al. Resolution comparison between integral-imaging-based hologram synthesis methods using rectangular and hexagonal lens arrays [J]. Optics Express, 2011, 19 (27): 26917–26927.
 Chen N, Ren Z, Lam E Y. High-resolution Fourier hologram synthesis from photographic images through computing the light field [J]. Applied Optics, 2016, 55 (7): 1751–1756.
 Lohmann A W, Paris D P. Binary Fraunhofer holograms, generated by computer [J]. Applied Optics, 1967, 6 (10): 1739–1748.
 Chen N, Yeom J, Hong K, et al. Fast-converging algorithm for wavefront reconstruction based on a sequence of diffracted intensity images [J]. Journal of the Optical Thereforeciety of Korea, 2014, 18 (3): 217–224.
 Li G, Yang W, Li D, et al. Cyphertext-only attack on the double random-phase encryption: experimental demonstration [J]. Optics Express, 2017, 25 (8): 8690–8697.
 Gerchberg R W, Saxton W O. A practical algorithm for the determination of phase from image and diffraction plane pictures [J]. Optik, 1972, 35: 237–250.
 Fienup J R. Phase retrieval algorithms: a comparison [J]. Applied Optics, 1982, 21 (15): 2758–2769.
 Yang G Z, Gu B Y, Dong B Z. Theory of the amplitude-phase retrieval in any linear transform system and its applications [J]. International Journal of Modern Physics B, 1993, 7 (18): 3153–3224.
 Wang H, Yue W, Thereforeng Q, et al. A hybrid Gerchberg-Saxton-like algorithm for DOE and CGH calculation [J]. Optics and Lasers in Engineering, 2017, 89: 109–115.
 Hsueh C K, Sawchuk A A. Computer-generated double-phase holograms [J]. Applied Optics, 1978, 17 (24): 3874–3883.
 Arrizón V. Complex modulation with a twisted-nematic liquid-crystal spatial light modulator: double-pixel approach [J]. Optics Letters, 2003, 28 (15): 1359–1361.
 Chen J Z, Zheng Z H, Lian G R, et al. Computer-generated holographic watermark technology based on four detour phases encoding scheme [J]. Laser & Optoelectronics Progress, 2010, 47 (6): 060901 (in Chinese).
 Li X, Liu J, Jia J, et al. 3D dynamic holographic display by modulating complex amplitude experimentally [J]. Optics Express, 2013, 21 (18): 20577–20587.
 Mendoza-Yero O, Mínguez-Vega G, Lancis J. Encoding complex fields by using aphase-only optical element [J]. Optics Letters, 2014, 39 (7): 1740–1743.
 Hou J F, Huang S J, Situ G H. Nonlinear optical image encryption [J]. Acta Optica Sinica, 2015, 35 (8): 0807001.
 Qi Y, Chang C, Xia J. Speckleless holographic display by complex modulation based on double-phase method [J]. Optics Express, 2016, 24 (26): 30368–30378.