Abstract
Embedded data are used to retrieve phases quicker with high accuracy in phase-modulated holographic data storage (HDS). We propose a method to design an embedded data distribution using iterations to enhance the intensity of the high-frequency signal in the Fourier spectrum. The proposed method increases the antinoise performance and signal-to-noise ratio (SNR) of the Fourier spectrum distribution, realizing a more efficient phase retrieval. Experiments indicate that the bit error rate (BER) of this method can be reduced by a factor of one after 10 iterations.
Similar content being viewed by others
References
Reinsel D, Gantz J, Rydning J. The Digitization of the World—From Edge to Core. IDC & Seagate: IDC White Paper, 2018
Haw M. Holographic data storage: the light fantastic. Nature, 2003, 422(6932): 556–558
Van Heerden P J. Theory of optical information storage in solids. Applied Optics, 1963, 2(4): 393–400
Horimai H, Tan X, Li J. Collinear holography. Applied Optics, 2005, 44(13): 2575–2579
Lin X, Hao J, Zheng M, Dai T, Li H, Ren Y. Optical holographic data storage—the time for new development. Opto-Electronic Engineering, 2019, 46(3): 180642
Lin X, Liu J, Hao J, Wang K, Zhang Y, Li H, Horimai H, Tan X. Collinear holographic data storage technologies. Opto-Electronic Advances, 2020, 3(3): 19000401
John R, Joseph J, Singh K. Holographic digital data storage using phase-modulated pixels. Optics and Lasers in Engineering, 2005, 43(2): 183–194
Psaltis D, Levene M, Pu A, Barbastathis G, Curtis K. Holographic storage using shift multiplexing. Optics Letters, 1995, 20(7): 782–784
He M, Cao L, Tan Q, He Q, Jin G. Novel phase detection method for a holographic data storage system using two interferograms. Journal of Optics. A, Pure and Applied Optics, 2009, 11(6): 065705
Jeon S H, Gil S K. 2-step phase-shifting digital holographic optical encryption and error analysis. Journal of the Optical Society of Korea, 2011, 15(3): 244–251
Xu X F, Cai L Z, Wang Y R, Meng X F, Zhang H, Dong G Y, Shen X X. Blind phase shift extraction and wavefront retrieval by two-frame phase-shifting interferometry with an unknown phase shift. Optics Communications, 2007, 273(1): 54–59
Lin X, Huang Y, Shimura T, Fujimura R, Tanaka Y, Endo M, Nishimoto H, Liu J, Li Y, Liu Y, Tan X. Fast non-interferometric iterative phase retrieval for holographic data storage. Optics Express, 2017, 25(25): 30905–30915
Pan X, Liu C, Lin Q, Zhu J. Ptycholographic iterative engine with self-positioned scanning illumination. Optics Express, 2013, 21(5): 6162–6168
Gureyev T E, Roberts A, Nugent K A. Phase retrieval with the transport-of-intensity equation: matrix solution with use of Zernike polynomials. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 1995, 12(9): 1932–1942
Gureyev T E, Nugent K A. Rapid quantitative phase imaging using the transport of intensity equation. Optics Communications, 1997, 133(1–6): 339–346
Volkov V V, Zhu Y, De Graef M. A new symmetrized solution for phase retrieval using the transport of intensity equation. Micron (Oxford, England), 2002, 33(5): 411–416
Fienup J R. Phase retrieval algorithms: a comparison. Applied Optics, 1982, 21(15): 2758–2769
Fienup J R. Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint. Journal of the Optical Society of America. A, Optics and Image Science, 1987, 4(1): 118–123
Lin X, Huang Y, Li Y Y, Liu J, Liu J, Kang R, Tan X. Four-level phase pair encoding and decoding with single interferometric phase retrieval for holographic data storage. Chinese Optics Letters, 2018, 16(3): 032101
Liu J, Zhang L, Wu A, Tanaka Y, Shigaki M, Shimura T, Lin X, Tan X. High noise margin decoding of holographic data page based on compressed sensing. Optics Express, 2020, 28(5): 7139–7151
Acknowledgements
This work was partially supported by the Open Project Program of Wuhan National Laboratory for Optoelectronics (No. 2019WNLOKF007) and the National Key R & D Program of China (No. 2018YFA0701800).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Disclosures
The authors declare no conflicts of interest.
Changyu Yu received his B.E. degree in Department of Physical and Electronic Engineering from Gannan Normal University, China in 2018. He is currently working toward an M.S. degree in Optical Engineering at Information Photonics Research Center, Fujian Normal University, China. His current research interest is the optimization of non-interference phase retrieval algorithm.
Suping Wang received his B.E. degree in Optoelectronic Science from Fujian Normal University, China in 2019. He is currently working toward an M.S. degree in Optical Engineering at Information Photonics Research Center, Fujian Normal University, China. His current research interest is the analysis and compensation of optical field aberrations in holographic optical storage phase retrieval.
Ruixian Chen received her B.S. degree in College of Physics and Information Engineering from Quanzhou Normal University, China in 2019. She is currently working toward an M.S. degree in Optical Engineering at Information Photonics Research Center, Fujian Normal University, China. Her current research interest is focus dynamic sampling iterative phase retrieval for holographic data storage.
Jianying Hao is a Ph.D. student in Fujian Normal University, China. She received her M.S. degree in Optical Engineering from Beijing Institute of Technology, China in 2015. Her current research interests include holographic data storage, phase retrieval, computational optics and machine learning.
Qijing Zheng received her B.E. degree in Optoelectronic Information Science and Engineering from Jiangsu Normal University, China in 2019. She is currently working toward an M.S. degree in Optical Engineering at Information Photonics Research Center, Fujian Normal University, China. Her current research interests include holographic data storge and holographic phase retrieval.
Jinyu Wang received his B.E. degree in Optoelectronic Science from Fujian Normal University, China in 2018. He is currently working toward an M.S. degree in Optical Engineering at Information Photonics Research Center, Fujian Normal University, China. His current research interests include polarization holography, holographic storage and polarization sensitive media.
Xianying Qiu received her B.E. degree in Electronic Science and technology from Minjiang University, China in 2018. She is currently working toward an M.S. degree in Optical Engineering at Information Photonics Research Center, Fujian Normal University, China. Her current research interest is focus compensation of coaxial holographic storage system.
Kun Wang is an associate professor at Information Photonics Research Center, College of Photonic and Electronic Engineering, Fujian Normal University, China. She received her Ph.D. degree in 2015 from Department of Electronic Engineering, Tsinghua University, China. Her current research focuses on holographic data storage, freeform optical surface design, and polarization effects in InGaN-based solar cells.
Dakui Lin is an associate professor at College of Photonic and Electronic Engineering, Fujian Normal University, China. He obtained his Ph.D. degree from University of Science and Technology of China (USTC), China in 2020. His current research focuses on encrypted holographic data storage, diffraction grating and grating spectrometer.
Yi Yang received his B.S. degree in physics from Central China Normal University, China in 2015, and Ph.D. degree from School of Optical and Electronic Information, Huazhong University of Science and Technology, China in 2020. His current research interests include holographic optical data storage system and digital signal processing.
Hui Li is a full professor in Optics and Optical Engineering at Fujian Normal University, China. He received his Ph.D. degree in Optical Engineering from Zhejiang University, M.S. degree in Optics from Fujian Normal University and B.S. degree in Physics from Peking University, China. His areas of research interest include optics and optical engineering, information processing, optoelectronic sensing, photoacoustic imaging for medical applications. He got 4 projects supported by the National Natural Science Foundation of China. He had 130 papers published and 5 patents authorized.
Xiao Lin received his Ph.D. degree from Beijing Institute of Technology, China in 2018. Now he is an associate professor at Fujian Normal University, China. His research fields are holographic data storage, computing phase imaging, machine learning, 3D display. He published over 80 articles in journals and conferences and gave 6 invited talks. He is the member of OSA, SPIE, COS, and CSOE, and the peer reviewer in Optics Letters, Applied Optics, etc.
Xiaodi Tan graduated from Optical Department of Shandong University, China in 1984, he obtained his Master’s Degree from Optical Engineering Department of Beijing Institute of Technology, China. His doctoral thesis on “Optical Secure Holographic Storage Systems” was completed at The University of Tokyo, Institute of Industrial Science, in the Laboratory of Kuroda-Shimura, Japan in 2001. He was a Senior Engineer of the Technology Division in OPTWARE Corporation, researching and developing the next generation of optical storage systems. And he was a Senior Technology Analyst, Distinguished Engineer and Optical Technology Manager of Core Device Development Group in Sony Corporation. He was a professor at School of Optoelectronics of Beijing Institute of Technology from 2012 to 2017. And now he is a professor at College of Photonic and Electric Engineering of Fujian Normal University, China. His research interests are in information optics: holographic data storage, optical information display, optical devices, etc.
Rights and permissions
About this article
Cite this article
Yu, C., Wang, S., Chen, R. et al. Improved phase retrieval in holographic data storage based on a designed iterative embedded data. Front. Optoelectron. 14, 529–539 (2021). https://doi.org/10.1007/s12200-021-1218-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12200-021-1218-0