Advances in Multi-Dimensional Modulated Holographic Data Storage

Xiaodi Tan; Xiao Lin; Jinliang Zang; Fenglan Fan; Jinpeng Liu; Yuhong Ren; Jianying Hao

doi:10.3788/AOS230741

Acta Optica Sinica, Volume. 43, Issue 15, 1500004(2023)

Advances in Multi-Dimensional Modulated Holographic Data Storage

Xiaodi Tan¹, Xiao Lin¹, Jinliang Zang², Fenglan Fan³, Jinpeng Liu⁴, Yuhong Ren¹, and Jianying Hao^1、*

Author Affiliations

¹College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou 350117, Fujian, China

²National Institute of Metrology, Beijing 100029, China

³College of Chemistry and Chemical Engineering, Hebei Normal University for Nationalities, Chengde 067000, Hebei, China

⁴School of Optoelectronic Engineering, Xidian University, Xi'an 710071, Shaanxi, China

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Figures & Tables(38)

Fig. 1. Schematic diagram of holographic storage^[21]

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Fig. 2. Comparison between holographic storage and traditional storage methods^[21]

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Fig. 3. Schematic diagram of amplitude modulated collinear holographic storage system

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Fig. 4. Amplitude coding^[86]

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Fig. 5. Apply error correction codes with certain correction capabilities to encoding. (a) Example of database storage of CPC codes^[94]; (b) encoding and decoding process of RLL codes^[96]

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Fig. 6. Schematic diagram of principle of compression-aware denoising^[98]

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Fig. 7. Dictionary training and learning noise reduction method^[98]. (a) Dictionary training process; (b) noisy data page decoding process

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Fig. 8. Advantages of phase modulation^[21]

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Fig. 9. Phase coding of code pair^[106]

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Fig. 10. Description of decoding process^[106]

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Fig. 11. Experimental results of decoding using code pair method^[106]. (a) Decoding without code pair; (b) decoding BER without code pair; (c) decoding with code pair; (d) decoding BER with code pair

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Fig. 12. Iterative Fourier transform phase reconstruction based on embedded data^[116]

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Fig. 13. Flow chart of iterative Fourier transform algorithm based on embedded data

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Fig. 14. Relationship between embedded data proportion and iteration numbers^[86]

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Fig. 15. Coding design and experimental results of phase reconstruction algorithm for image restoration^[116]

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Fig. 16. Optimization scheme of collinear system based on embedded data

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Fig. 17. Gray histograms of phase retrieval under different intensity ratios of reference light^[118]

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Fig. 18. Experimental results of phase retrieval under different intensity ratios of reference light

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Fig. 19. Optical path diagram of frequency spectrum extension^[119]

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Fig. 20. Idea of frequency spectrum extension^[119]. (a) Unknown phase pattern; (b) known window; (c) frequency spectrum intensity of unknown phase pattern; (d) frequency spectrum intensity of known window

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Fig. 21. Process of frequency spectrum extension^[119]. (a) Fourier intensity with Nyquist size captured by CCD (box denotes Nyquist size); (b) Fourier intensity of rectangular window with Nyquist size; (c) normalized Fourier frequency spectrum; (d) normalized spectrum extension to 5 times Nyquist interval; (e) intensity envelope with a known 5 times Nyquist interval; (f) new spectrum after intensity product

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Fig. 22. Comparison of phase retrieval results without and with frequency spectrum extension^[119]

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Fig. 23. Experimental setup of phase retrieval based on deep learning^[124]

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Fig. 24. Training process of convolution neural network

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Fig. 25. Experimental results after training^[124]

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Fig. 26. Optical path of four-channel polarization multiplexed holographic recording^[129]

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Fig. 27. Experimental results of four-channel polarization multiplexing holographic recording^[129]. (a)-(d) Imaging maps of image directly on CMOS camera as original signal before holographic recording; (e)-(h) images of holographic reconstruction with different polarization reading lights after holographic recording

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Fig. 28. Preparation flow chart of PQ/PMMA materials

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Fig. 29. Schematic diagram of structure of chemical composition^[143]

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Fig. 30. Ultraviolet absorption spectra of photopolymer materials^[143]

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Fig. 31. Design structure of holographic disc^[145]

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Fig. 32. Different loading processes of optical disc materials. (a) Filling method; (b) spin-coating method; (c) paste method

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Fig. 33. First holographic disc independently developed in China

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Table 1. Recording and reconstruction wave of linear polarization holography

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Table 1. Recording and reconstruction wave of linear polarization holography

Record		Reading
Reference（ $G_{-}$ ）	Signal（ $G_{+}$ ）	Reference（ $F$ ）	Signal（ $G_{F}$ ）
$\hat{s}$	$α \hat{s} + β {\hat{p}}_{+}$	$\hat{s}$	$B (α \hat{s} + β {\hat{p}}_{+}) + (A + B) α \hat{s}$
$\hat{s}$	$α \hat{s} + β {\hat{p}}_{+}$	${\hat{p}}_{-}$	$B β c o s θ \hat{s} + A α c o s θ {\hat{p}}_{+}$
${\hat{p}}_{-}$	$α \hat{s} + β {\hat{p}}_{+}$	$\hat{s}$	$A β c o s θ \hat{s} + B α c o s θ {\hat{p}}_{+}$
${\hat{p}}_{-}$	$α \hat{s} + β {\hat{p}}_{+}$	${\hat{p}}_{-}$	$B (α \hat{s} + β {\hat{p}}_{+}) + (A + B) α c o s θ \hat{s}$

Table 2. Recording and reconstruction wave of circular polarization holography

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Table 2. Recording and reconstruction wave of circular polarization holography

Record		Reading
Reference	Signal	Reference	Signal（ $G_{F}$ ）
$l_{-}$	$r_{+}$	$r_{-}$	$\frac{1}{2} (A + B) (1 - c o s^{2} θ) r_{+} + \frac{1}{2} (A + B) {(1 - c o s θ)}^{2} l_{+}$
$l_{-}$	$r_{+}$	$l_{-}$	$[2 B + \frac{1}{2} (A + B) (1 + c o s^{2} θ) - (A - B) c o s θ] r_{+} + \frac{1}{2} (A + B) (1 - c o s^{2} θ) l_{+}$
$r_{-}$	$l_{+}$	$r_{-}$	$[2 B + \frac{1}{2} (A + B) (1 + c o s^{2} θ) - (A - B) c o s θ] l_{+} + \frac{1}{2} (A + B) (1 - c o s^{2} θ) r_{+}$
$r_{-}$	$l_{+}$	$l_{-}$	$\frac{1}{2} (A + B) (1 - c o s^{2} θ) l_{+} + \frac{1}{2} (A + B) {(1 - c o s θ)}^{2} r_{+}$

Table 3. Recording and reconstruction wave of circular polarization holography with A+B=0
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Table 3. Recording and reconstruction wave of circular polarization holography with A+B=0
Record Reading
Reference Signal Reference Signal（ $G_{F}$ ）
$l_{-}$ $r_{+}$ $r_{-}$ $0$
$l_{-}$ $2 B (1 + c o s θ) r_{+}$
$r_{-}$ $l_{+}$ $r_{-}$ $2 B (1 + c o s θ) l_{+}$
$l_{-}$ $0$

Table 4. Diffraction properties of polarization holography recorded by linearly polarized wave

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Table 4. Diffraction properties of polarization holography recorded by linearly polarized wave

Record		Reading	Reconstruction
$G_{+}$	$G_{-}$	$F$	$G_{F}$	$G_{F}$ （ $π / 2$ ）
$G_{+} \hat{s}$	$G_{-} {\hat{p}}_{-}$	$G_{-} \hat{s}$	$B G_{+} c o s (θ_{+} - θ_{-}) {\hat{p}}_{+}$	0
$G_{+} \hat{s}$	$G_{-} {\hat{p}}_{-}$	$G_{-} {\hat{p}}_{-}$	$B G_{+} \hat{s}$	$B G_{+} \hat{s}$
$G_{+} {\hat{p}}_{+}$	$G_{-} \hat{s}$	$G_{-} \hat{s}$	$B G_{+} {\hat{p}}_{+}$	$B G_{+} {\hat{p}}_{+}$
$G_{+} {\hat{p}}_{+}$	$G_{-} \hat{s}$	$G_{-} {\hat{p}}_{-}$	$B G_{+} c o s (θ_{+} - θ_{-}) \hat{s}$	0
$G_{+} \hat{s}$	$G_{-} \hat{s}$	$G_{-} \hat{s}$	$(A + 2 B) G_{+} \hat{s}$	$(A + 2 B) G_{+} \hat{s}$
$G_{+} \hat{s}$	$G_{-} \hat{s}$	$G_{-} {\hat{p}}_{-}$	$A G_{+} c o s (θ_{+} - θ_{-}) {\hat{p}}_{+}$	0
$G_{+} {\hat{p}}_{+}$	$G_{-} {\hat{p}}_{-}$	$G_{-} \hat{s}$	$A G_{+} c o s (θ_{+} - θ_{-}) \hat{s}$	0
$G_{+} {\hat{p}}_{+}$	$G_{-} {\hat{p}}_{-}$	$G_{-} {\hat{p}}_{-}$	$G_{+} [(A + B) c o s^{2} (θ_{+} - θ_{-}) + B] {\hat{p}}_{+}$	$B G_{+} {\hat{p}}_{+}$

Table 5. Scheme of four-channel polarization multiplexing holographic recording
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Table 5. Scheme of four-channel polarization multiplexing holographic recording
Chanel Record Reading Reconstruction
$H_{n}$ $U_{S}$ $U_{R}$ $F$ $U_{F} (π / 2)$
$H_{1}$ $U_{1 S} {\hat{p}}_{S}$ $U_{R} \hat{s}$ $U_{R} \hat{s}$ $U_{1 S} {\hat{p}}_{S}$
$H_{2}$ $U_{2 S} \hat{s}$ $U_{2 S} \hat{s}$
$H_{3}$ $U_{3 S} {\hat{p}}_{S}$ $U_{R} {\hat{p}}_{R}$ $U_{R} {\hat{p}}_{R}$ $U_{3 S} {\hat{p}}_{S}$
$H_{4}$ $U_{4 S} \hat{s}$ $U_{4 S} \hat{s}$

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Xiaodi Tan, Xiao Lin, Jinliang Zang, Fenglan Fan, Jinpeng Liu, Yuhong Ren, Jianying Hao. Advances in Multi-Dimensional Modulated Holographic Data Storage[J]. Acta Optica Sinica, 2023, 43(15): 1500004

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