Digital super-resolution holographic data storage based on Hermitian symmetry for achieving high areal density

Teruyoshi Nobukawa; Takanori Nomura

doi:10.1364/OE.25.001326

Digital super-resolution holographic data storage based on Hermitian symmetry for achieving high areal density

Teruyoshi Nobukawa and Takanori Nomura

Optics Express
Vol. 25,
Issue 2,
pp. 1326-1338
(2017)
•https://doi.org/10.1364/OE.25.001326

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Teruyoshi Nobukawa and Takanori Nomura, "Digital super-resolution holographic data storage based on Hermitian symmetry for achieving high areal density," Opt. Express 25, 1326-1338 (2017)

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Related Topics
Table of Contents Category
- Holography
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Fourier optics and signal processing (070.0070)
- Computer holography (090.1760)
- Digital holography (090.1995)
- Holographic and volume memories (210.2860)

About this Article
History
- Original Manuscript: October 28, 2016
- Revised Manuscript: December 14, 2016
- Manuscript Accepted: December 15, 2016
- Published: January 18, 2017

Accessible

Open Access

Abstract

Digital super-resolution holographic data storage based on Hermitian symmetry is proposed to store digital data in a tiny area of a medium. In general, reducing a recording area with an aperture leads to the improvement in the storage capacity of holographic data storage. Conventional holographic data storage systems however have a limitation in reducing a recording area. This limitation is called a Nyquist size. Unlike the conventional systems, our proposed system can overcome the limitation with the help of a digital holographic technique and digital signal processing. Experimental result shows that the proposed system can record and retrieve a hologram in a smaller area than the Nyquist size on the basis of Hermitian symmetry.

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References

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Year
|
Author
|
Publication

L. Dhar, K. Curtis, and T. Fäche, “Holographic data storage: Coming of age,” Nat. Photonics 2, 403–405 (2008).
[Crossref]
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[Crossref]
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[Crossref]
G. A. Rakuljic, V. Leyva, and A. Yariv, “Optical data storage by using orthogonal wavelength-multiplexed volume holograms,” Opt. Lett. 17(20), 1471–1473 (1992).
[Crossref] [PubMed]
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[Crossref]
N. Kinoshita, T. Muroi, N. Ishii, K. Kamijo, H. Kikuchi, N. Shimidzu, and O. Matoba, “Half-data-page insertion method for increasing recording density in angular multiplexing holographic memory,” Appl. Opt. 50(16), 2361–2369 (2011).
[Crossref] [PubMed]
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[Crossref] [PubMed]
L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
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S. H. Lin, S. L. Cho, S. F. Chou, J. H. Lin, C. M. Lin, S. Chi, and K. Y. Hsu, “Volume polarization holographic recording in thick photopolymer for optical memory,” Opt. Express 22(12), 14944–14957 (2014).
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T. Nobukawa, Y. Wani, and T. Nomura, “Multiplexed recording with uncorrelated computer-generated reference patterns in coaxial holographic data storage,” Opt. Lett. 40(10), 2161–2164 (2015).
[Crossref] [PubMed]
T. Nobukawa and T. Nomura, “Multilayer recording holographic data storage using a varifocal lens generated with a kinoform,” Opt. Lett. 40(23), 5419–5422 (2015).
[Crossref] [PubMed]
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K. Anderson and K. Curtis, “Polytopic multiplexing,” Opt. Lett. 29(12), 1402–1404 (2004).
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K. Tanaka, M. Hara, K. Tokuyama, K. Hirooka, K. Ishioka, A. Fukumoto, and K. Watanabe, “Improved performance in coaxial holographic data recording,” Opt. Express 15(24), 16196–16209 (2007).
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[Crossref]
M. Sawada, N. Kinoshita, T. Muroi, M. Motohashi, and N. Saito, “Rotation spacing and multiplexing number in angle-peristrophic multiplexing holographic memory,” Jpn. J. Appl. Phys. 54, 09MA03 (2015).
[Crossref]
G. W. Burr, G. Barking, H. Coufal, J. A. Hoffnagle, M. Jefferson, and M. A. Neifeld, “Gray-scale data pages for digital holographic data storage,” Opt. Lett. 23(15), 1218–1220 (1998).
[Crossref]
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[Crossref]
M. Bunsen, S. Umetsu, M. Takabayashi, and A. Okamoto, “Method of phase and amplitude modulation/demodulation using datapages with embedded phase-shift for holographic data storage,” Jpn. J. Appl. Phys. 52, 09LD04 (2013).
[Crossref]
T. Nobukawa and T. Nomura, “Multilevel recording of complex amplitude data pages in a holographic data storage system using digital holography,” Opt. Express 24(18), 21001–21011 (2016).
[Crossref] [PubMed]
M.-P. Bernal, G. W. Burr, H. Coufal, and M. Quintanilla, “Balancing interpixel cross talk and detector noise to optimize areal density in holographic storage systems,” Appl. Opt. 37(23), 5377–5385 (1998).
[Crossref]
C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, “Super-resolution digital holographic imaging method,” Appl. Phys. Lett. 81(17), 3143 (2002).
[Crossref]
S. C. Park, M. K. Park, and M. G. Kang, “Super-resolution image reconstruction: a technical overview,” IEEE Signal Process. Mag. 20(3), 21–36 (2003).
[Crossref]
J. P. Wilde, J. W. Goodman, Y. C. Eldar, and Y. Takashima, “Coherent superresolution imaging via grating-based illumination,” Appl. Opt. 56(1), A79–A88 (2017).
[Crossref]
R. B. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw-Hill, 1986).
M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72(1), 156–160 (1982).
[Crossref]
L. Martínez-León, M. Araiza-E, B. Javidi, P. Andrés, V. Climent, J. Lancis, and E. Tajahuerce, “Single-shot digital holography by use of the fractional Talbot effect,” Opt. Express 17(15), 12900–12909 (2009).
[Crossref] [PubMed]
T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18(18), 18975–18980 (2010).
[Crossref] [PubMed]
M. Imbe and T. Nomura, “Selective calculation for the improvement of reconstructed images in single-exposure generalized phase-shifting digital holography,” Opt. Eng. 53(4), 044102 (2014).
[Crossref]
B. M. King and M. A. Neifeld, “Sparse modulation coding for increased capacity in volume holographic storage,” Appl. Opt. 39(35), 6681–6688 (2000).
[Crossref]
J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
[Crossref]
V. Arrizón, U. Ruiz, R. Carrada, and L. A. González, “Pixelated phase computer holograms for the accurate encoding of scalar complex fields,” J. Opt. Soc. Am. A 24(11), 3500–3507 (2007).
[Crossref]
T. Nobukawa and T. Nomura, “Linear phase encoding for holographic data storage with a single phase-only spatial light modulator,” Appl. Opt. 55(10), 2565–2573 (2016).
[Crossref] [PubMed]
T. Nobukawa and T. Nomura, “Design of high-resolution and multilevel reference pattern for improvement of both light utilization efficiency and signal-to-noise ratio in coaxial holographic data storage,” Appl. Opt. 53(17), 3773–3781 (2014).
[Crossref] [PubMed]
Y. Nakamura, H. Shimada, T. Ishii, H. Ishihara, M. Hosaka, and T. Hoshizawa, “High-density recording method with RLL coding for holographic memory system,” in Nonlinear Optics, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OMB5.
[Crossref]
S. Yoshida, Y. Takahata, S. Horiuchi, and M. Yamamoto, “Spatial run-length limited code for reduction of hologram size in holographic data storage,” Opt. Commun, 358, 103–107 (2016).
[Crossref]
S. Yasuda, Y. Ogasawara, J. Minabe, K. Kawano, and K. Hayashi, “Homodyne readout on dc-removed coaxial holographic data storage,” Appl. Opt. 48(36), 6851–6861 (2009).
[Crossref] [PubMed]
H. Gu, S. Yin, Q. Tan, L. Cao, Q. He, and G. Jin, “Improving signal-to-noise ratio by use of a cross-shaped aperture in the holographic data storage system,” Appl. Opt. 48(32), 6234–6240 (2009).
[Crossref] [PubMed]

2017 (1)

J. P. Wilde, J. W. Goodman, Y. C. Eldar, and Y. Takashima, “Coherent superresolution imaging via grating-based illumination,” Appl. Opt. 56(1), A79–A88 (2017).
[Crossref]

2016 (3)

T. Nobukawa and T. Nomura, “Multilevel recording of complex amplitude data pages in a holographic data storage system using digital holography,” Opt. Express 24(18), 21001–21011 (2016).
[Crossref] [PubMed]

T. Nobukawa and T. Nomura, “Linear phase encoding for holographic data storage with a single phase-only spatial light modulator,” Appl. Opt. 55(10), 2565–2573 (2016).
[Crossref] [PubMed]

S. Yoshida, Y. Takahata, S. Horiuchi, and M. Yamamoto, “Spatial run-length limited code for reduction of hologram size in holographic data storage,” Opt. Commun, 358, 103–107 (2016).
[Crossref]

2015 (3)

T. Nobukawa, Y. Wani, and T. Nomura, “Multiplexed recording with uncorrelated computer-generated reference patterns in coaxial holographic data storage,” Opt. Lett. 40(10), 2161–2164 (2015).
[Crossref] [PubMed]

T. Nobukawa and T. Nomura, “Multilayer recording holographic data storage using a varifocal lens generated with a kinoform,” Opt. Lett. 40(23), 5419–5422 (2015).
[Crossref] [PubMed]

M. Sawada, N. Kinoshita, T. Muroi, M. Motohashi, and N. Saito, “Rotation spacing and multiplexing number in angle-peristrophic multiplexing holographic memory,” Jpn. J. Appl. Phys. 54, 09MA03 (2015).
[Crossref]

2014 (4)

L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
[Crossref] [PubMed]

S. H. Lin, S. L. Cho, S. F. Chou, J. H. Lin, C. M. Lin, S. Chi, and K. Y. Hsu, “Volume polarization holographic recording in thick photopolymer for optical memory,” Opt. Express 22(12), 14944–14957 (2014).
[Crossref] [PubMed]

T. Nobukawa and T. Nomura, “Design of high-resolution and multilevel reference pattern for improvement of both light utilization efficiency and signal-to-noise ratio in coaxial holographic data storage,” Appl. Opt. 53(17), 3773–3781 (2014).
[Crossref] [PubMed]

M. Imbe and T. Nomura, “Selective calculation for the improvement of reconstructed images in single-exposure generalized phase-shifting digital holography,” Opt. Eng. 53(4), 044102 (2014).
[Crossref]

2013 (3)

M. Bunsen, S. Umetsu, M. Takabayashi, and A. Okamoto, “Method of phase and amplitude modulation/demodulation using datapages with embedded phase-shift for holographic data storage,” Jpn. J. Appl. Phys. 52, 09LD04 (2013).
[Crossref]

T. Ochiai, D. Barada, T. Fukuda, Y. Hayasaki, K. Kuroda, and T. Yatagai, “Angular multiplex recording of data pages by dual-channel polarization holography,” Opt. Lett. 38(5), 748–750 (2013).
[Crossref] [PubMed]

S. Yoshida, H. Kurata, S. Ozawa, K. Okubo, S. Horiuchi, Z. Ushiyama, M. Yamamoto, S. Koga, and A. Tanaka, “High-density holographic data storage using three-dimensional shift multiplexing with spherical reference wave,” Jpn. J. Appl. Phys. 52, 09LD07 (2013).
[Crossref]

2008 (2)

G. Berger, M. Dietz, and C. Denz, “Hybrid multinary modulation codes for page-oriented holographic data storage,” J. Opt. A: Pure Appl. Opt. 10, 115305 (2008).
[Crossref]

L. Dhar, K. Curtis, and T. Fäche, “Holographic data storage: Coming of age,” Nat. Photonics 2, 403–405 (2008).
[Crossref]

2007 (2)

K. Tanaka, M. Hara, K. Tokuyama, K. Hirooka, K. Ishioka, A. Fukumoto, and K. Watanabe, “Improved performance in coaxial holographic data recording,” Opt. Express 15(24), 16196–16209 (2007).
[Crossref] [PubMed]

V. Arrizón, U. Ruiz, R. Carrada, and L. A. González, “Pixelated phase computer holograms for the accurate encoding of scalar complex fields,” J. Opt. Soc. Am. A 24(11), 3500–3507 (2007).
[Crossref]

2005 (1)

H. Horimai, X. Tan, and J. Li, “Collinear holography,” Opt. Lett. 44(13), 2575–2579 (2005).

2004 (1)

K. Anderson and K. Curtis, “Polytopic multiplexing,” Opt. Lett. 29(12), 1402–1404 (2004).
[Crossref] [PubMed]

2003 (1)

S. C. Park, M. K. Park, and M. G. Kang, “Super-resolution image reconstruction: a technical overview,” IEEE Signal Process. Mag. 20(3), 21–36 (2003).
[Crossref]

2002 (1)

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, “Super-resolution digital holographic imaging method,” Appl. Phys. Lett. 81(17), 3143 (2002).
[Crossref]

2001 (1)

C. C. Sun and W. C. Su, “Three-dimensional shifting selectivity of random phase encoding in volume holograms,” Appl. Opt. 40(8), 1253–1260 (2001).
[Crossref]

2000 (1)

B. M. King and M. A. Neifeld, “Sparse modulation coding for increased capacity in volume holographic storage,” Appl. Opt. 39(35), 6681–6688 (2000).
[Crossref]

1999 (1)

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
[Crossref]

1998 (2)

M.-P. Bernal, G. W. Burr, H. Coufal, and M. Quintanilla, “Balancing interpixel cross talk and detector noise to optimize areal density in holographic storage systems,” Appl. Opt. 37(23), 5377–5385 (1998).
[Crossref]

G. W. Burr, G. Barking, H. Coufal, J. A. Hoffnagle, M. Jefferson, and M. A. Neifeld, “Gray-scale data pages for digital holographic data storage,” Opt. Lett. 23(15), 1218–1220 (1998).
[Crossref]

1995 (1)

D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, “Holographic storage using shift multiplexing,” Opt. Lett. 20(7), 782–784 (1995).
[Crossref] [PubMed]

1992 (1)

G. A. Rakuljic, V. Leyva, and A. Yariv, “Optical data storage by using orthogonal wavelength-multiplexed volume holograms,” Opt. Lett. 17(20), 1471–1473 (1992).
[Crossref] [PubMed]

1991 (1)

C. Denz, G. Pauliat, G. Roosen, and T. Tschudi, “Volume hologram multiplexing using a deterministic phase encoding method,” Opt. Commun. 85, 171–176 (1991).
[Crossref]

1982 (1)

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72(1), 156–160 (1982).
[Crossref]

Anderson, K.

K. Anderson and K. Curtis, “Polytopic multiplexing,” Opt. Lett. 29(12), 1402–1404 (2004).
[Crossref] [PubMed]

Andrés, P.

Araiza-E, M.

Arrizón, V.

Awatsuji, Y.

Ayres, M.

K. Curtis, L. Dhar, A. Hill, W. Wilson, and M. Ayres, Holographic Data Storage: From Theory to Practical Systems (Wiley, 2010).
[Crossref]

Barada, D.

Barbastathis, G.

D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, “Holographic storage using shift multiplexing,” Opt. Lett. 20(7), 782–784 (1995).
[Crossref] [PubMed]

Barking, G.

Berger, G.

G. Berger, M. Dietz, and C. Denz, “Hybrid multinary modulation codes for page-oriented holographic data storage,” J. Opt. A: Pure Appl. Opt. 10, 115305 (2008).
[Crossref]

Bernal, M.-P.

Bo, F.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, “Super-resolution digital holographic imaging method,” Appl. Phys. Lett. 81(17), 3143 (2002).
[Crossref]

Bracewell, R. B.

R. B. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw-Hill, 1986).

Bunsen, M.

Burr, G. W.

Campos, J.

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
[Crossref]

Cao, L.

L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
[Crossref] [PubMed]

Carrada, R.

Chi, S.

Cho, S. L.

Chou, S. F.

Climent, V.

Cottrell, D. M.

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
[Crossref]

Coufal, H.

Curtis, K.

L. Dhar, K. Curtis, and T. Fäche, “Holographic data storage: Coming of age,” Nat. Photonics 2, 403–405 (2008).
[Crossref]

K. Anderson and K. Curtis, “Polytopic multiplexing,” Opt. Lett. 29(12), 1402–1404 (2004).
[Crossref] [PubMed]

D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, “Holographic storage using shift multiplexing,” Opt. Lett. 20(7), 782–784 (1995).
[Crossref] [PubMed]

K. Curtis, L. Dhar, A. Hill, W. Wilson, and M. Ayres, Holographic Data Storage: From Theory to Practical Systems (Wiley, 2010).
[Crossref]

Davis, J. A.

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
[Crossref]

Denz, C.

G. Berger, M. Dietz, and C. Denz, “Hybrid multinary modulation codes for page-oriented holographic data storage,” J. Opt. A: Pure Appl. Opt. 10, 115305 (2008).
[Crossref]

C. Denz, G. Pauliat, G. Roosen, and T. Tschudi, “Volume hologram multiplexing using a deterministic phase encoding method,” Opt. Commun. 85, 171–176 (1991).
[Crossref]

Dhar, L.

L. Dhar, K. Curtis, and T. Fäche, “Holographic data storage: Coming of age,” Nat. Photonics 2, 403–405 (2008).
[Crossref]

K. Curtis, L. Dhar, A. Hill, W. Wilson, and M. Ayres, Holographic Data Storage: From Theory to Practical Systems (Wiley, 2010).
[Crossref]

Dietz, M.

G. Berger, M. Dietz, and C. Denz, “Hybrid multinary modulation codes for page-oriented holographic data storage,” J. Opt. A: Pure Appl. Opt. 10, 115305 (2008).
[Crossref]

Eldar, Y. C.

J. P. Wilde, J. W. Goodman, Y. C. Eldar, and Y. Takashima, “Coherent superresolution imaging via grating-based illumination,” Appl. Opt. 56(1), A79–A88 (2017).
[Crossref]

Fäche, T.

L. Dhar, K. Curtis, and T. Fäche, “Holographic data storage: Coming of age,” Nat. Photonics 2, 403–405 (2008).
[Crossref]

Fujii, M.

Fukuda, T.

Fukumoto, A.

González, L. A.

Goodman, J. W.

J. P. Wilde, J. W. Goodman, Y. C. Eldar, and Y. Takashima, “Coherent superresolution imaging via grating-based illumination,” Appl. Opt. 56(1), A79–A88 (2017).
[Crossref]

Gu, H.

Hara, M.

Hayasaki, Y.

Hayashi, K.

S. Yasuda, Y. Ogasawara, J. Minabe, K. Kawano, and K. Hayashi, “Homodyne readout on dc-removed coaxial holographic data storage,” Appl. Opt. 48(36), 6851–6861 (2009).
[Crossref] [PubMed]

He, Q.

L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
[Crossref] [PubMed]

Hill, A.

K. Curtis, L. Dhar, A. Hill, W. Wilson, and M. Ayres, Holographic Data Storage: From Theory to Practical Systems (Wiley, 2010).
[Crossref]

Hirooka, K.

Hoffnagle, J. A.

Horimai, H.

H. Horimai, X. Tan, and J. Li, “Collinear holography,” Opt. Lett. 44(13), 2575–2579 (2005).

Horiuchi, S.

S. Yoshida, Y. Takahata, S. Horiuchi, and M. Yamamoto, “Spatial run-length limited code for reduction of hologram size in holographic data storage,” Opt. Commun, 358, 103–107 (2016).
[Crossref]

Hosaka, M.

Y. Nakamura, H. Shimada, T. Ishii, H. Ishihara, M. Hosaka, and T. Hoshizawa, “High-density recording method with RLL coding for holographic memory system,” in Nonlinear Optics, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OMB5.
[Crossref]

Hoshizawa, T.

Hsu, K. Y.

Imbe, M.

Ina, H.

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72(1), 156–160 (1982).
[Crossref]

Ishihara, H.

Ishii, N.

Ishii, T.

Ishioka, K.

Ito, K.

Javidi, B.

Jefferson, M.

Jin, G.

L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
[Crossref] [PubMed]

Kakue, T.

Kamijo, K.

Kang, M. G.

S. C. Park, M. K. Park, and M. G. Kang, “Super-resolution image reconstruction: a technical overview,” IEEE Signal Process. Mag. 20(3), 21–36 (2003).
[Crossref]

Kawano, K.

S. Yasuda, Y. Ogasawara, J. Minabe, K. Kawano, and K. Hayashi, “Homodyne readout on dc-removed coaxial holographic data storage,” Appl. Opt. 48(36), 6851–6861 (2009).
[Crossref] [PubMed]

Kikuchi, H.

King, B. M.

B. M. King and M. A. Neifeld, “Sparse modulation coding for increased capacity in volume holographic storage,” Appl. Opt. 39(35), 6681–6688 (2000).
[Crossref]

Kinoshita, N.

Kobayashi, S.

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72(1), 156–160 (1982).
[Crossref]

Koga, S.

Kubota, T.

Kurata, H.

Kuroda, K.

Lancis, J.

Levene, M.

D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, “Holographic storage using shift multiplexing,” Opt. Lett. 20(7), 782–784 (1995).
[Crossref] [PubMed]

Leyva, V.

G. A. Rakuljic, V. Leyva, and A. Yariv, “Optical data storage by using orthogonal wavelength-multiplexed volume holograms,” Opt. Lett. 17(20), 1471–1473 (1992).
[Crossref] [PubMed]

Li, J.

L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
[Crossref] [PubMed]

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S. Yasuda, Y. Ogasawara, J. Minabe, K. Kawano, and K. Hayashi, “Homodyne readout on dc-removed coaxial holographic data storage,” Appl. Opt. 48(36), 6851–6861 (2009).
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S. Yoshida, Y. Takahata, S. Horiuchi, and M. Yamamoto, “Spatial run-length limited code for reduction of hologram size in holographic data storage,” Opt. Commun, 358, 103–107 (2016).
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J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
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Appl. Opt. (11)

L. Cao, J. Liu, J. Li, Q. He, and G. Jin, “Orthogonal reference pattern multiplexing for collinear holographic data storage,” Appl. Opt. 53(1), 1–8 (2014).
[Crossref] [PubMed]

C. C. Sun and W. C. Su, “Three-dimensional shifting selectivity of random phase encoding in volume holograms,” Appl. Opt. 40(8), 1253–1260 (2001).
[Crossref]

J. P. Wilde, J. W. Goodman, Y. C. Eldar, and Y. Takashima, “Coherent superresolution imaging via grating-based illumination,” Appl. Opt. 56(1), A79–A88 (2017).
[Crossref]

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[Crossref]

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38(23), 5004–5013 (1999).
[Crossref]

T. Nobukawa and T. Nomura, “Linear phase encoding for holographic data storage with a single phase-only spatial light modulator,” Appl. Opt. 55(10), 2565–2573 (2016).
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Appl. Phys. Lett. (1)

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, “Super-resolution digital holographic imaging method,” Appl. Phys. Lett. 81(17), 3143 (2002).
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J. Opt. A: Pure Appl. Opt. (1)

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J. Opt. Soc. Am. (1)

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J. Opt. Soc. Am. A (1)

Jpn. J. Appl. Phys. (3)

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Opt. Commun (1)

S. Yoshida, Y. Takahata, S. Horiuchi, and M. Yamamoto, “Spatial run-length limited code for reduction of hologram size in holographic data storage,” Opt. Commun, 358, 103–107 (2016).
[Crossref]

Opt. Commun. (1)

C. Denz, G. Pauliat, G. Roosen, and T. Tschudi, “Volume hologram multiplexing using a deterministic phase encoding method,” Opt. Commun. 85, 171–176 (1991).
[Crossref]

Opt. Eng. (1)

Opt. Express (5)

Opt. Lett. (8)

T. Nobukawa and T. Nomura, “Multilayer recording holographic data storage using a varifocal lens generated with a kinoform,” Opt. Lett. 40(23), 5419–5422 (2015).
[Crossref] [PubMed]

D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, “Holographic storage using shift multiplexing,” Opt. Lett. 20(7), 782–784 (1995).
[Crossref] [PubMed]

K. Anderson and K. Curtis, “Polytopic multiplexing,” Opt. Lett. 29(12), 1402–1404 (2004).
[Crossref] [PubMed]

H. Horimai, X. Tan, and J. Li, “Collinear holography,” Opt. Lett. 44(13), 2575–2579 (2005).

G. A. Rakuljic, V. Leyva, and A. Yariv, “Optical data storage by using orthogonal wavelength-multiplexed volume holograms,” Opt. Lett. 17(20), 1471–1473 (1992).
[Crossref] [PubMed]

Other (3)

K. Curtis, L. Dhar, A. Hill, W. Wilson, and M. Ayres, Holographic Data Storage: From Theory to Practical Systems (Wiley, 2010).
[Crossref]

R. B. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw-Hill, 1986).

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Fig. 1 Reducing a recording area with an aperture in holographic data storage.

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Fig. 2 Schematic of digital super-resolution holographic data storage.

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Fig. 3 Schematic of a numerical simulation based on spatial frequency filtering.

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Fig. 4 Signal beam in a numerical simulation. (a) Data page. (b) Random phase mask. (c) Fourier spectrum of a signal beam.

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Fig. 5 Simulation result without the restoration process. (a) Aperture for spatial frequency filtering. (b) Intensity and (c) complex amplitude distributions of a filtered signal beam in an output plane.

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Fig. 6 Simulation result with the restoration process. (a) Restored Fourier spectrum and (b) the intensity distribution of a restored signal beam in an output plane.

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Fig. 7 Simulation result in a conventional holographic data storage system. (a) Aperture for spatial frequency filtering and (b) intensity distribution of a filtered signal beam in an output plane.

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Fig. 8 Experimental setup for demonstrating digital super-resolution holographic data storage.

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Fig. 9 Phase holograms for signal and reference beams: (a) encoded phase pattern and (b) computer-generated reference pattern.

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Fig. 10 Fourier spectrum of phase holograms: (a) encoded phase pattern and (b) computer-generated reference pattern.

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Fig. 11 Experimental results. (a) Retrieved data and (b) Fourier spectrum of a filtered signal beam without the restoration process. (c) Retrieved data and (d) Fourier spectrum of a restored signal beam. (e) Retrieved data and (f) Fourier spectrum of a filtered signal beam without recording a hologram in conventional holographic data storage.

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Equations (20)

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w = \frac{f λ}{d},

s (x, y) = a_{page} (x, y) exp {i ϕ_{rand} (x, y)},

A (u, v) = rect (\frac{2 (u - c w / 4)}{c w}) rect (\frac{v}{c w}),

S_{h} (u, v) = S (u, v) A (u, v),

S (u, v) = S^{*} (- u, - v),

\begin{array}{l} s_{h} (x, y) & = & ℱ [S (u, v) A (u, v)] \\ = & s (x, y) \otimes ℱ [A (u, v)], \end{array}

\begin{array}{l} O (u, v) & = & S (u, v) A (u, v) + S^{*} (- u, - v) A (- u, - v) \\ = & S (u, v) {A (u, v) + A (- u, v)} \\ = & S (u, v) {rect (\frac{u}{c w}) rect (\frac{v}{c w})} . \end{array}

\begin{array}{l} {| o (x, y) |}^{2} & = & {| ℱ [O (u, v)] |}^{2} \\ = & {| s (x, y) \otimes ℱ [rect (\frac{u}{c w}) rect (\frac{v}{c w})] |}^{2} . \end{array}

SER = \frac{E_{symbol}}{N_{symbol}} \times 100 [%],

ψ (x, y) = a_{page} (x, y) {ϕ_{rand} (x, y) + ϕ_{linear} (x, y)},

ϕ_{linear} (x, y) = 2 π (f_{x 1} x + f_{y 1} y) .

s^{'} (x, y) = \frac{sin {1 - a_{page} (x, y)} π}{{1 - a_{page} (x, y)} π} exp [i {ϕ_{rand} (x, y) + ϕ_{linear} (x, y)}] .

\begin{array}{l} s^{'} (x, y) & = & a_{page} (x, y) exp [i {ϕ_{rand} (x, y) + ϕ_{linear} (x, y)}] \\ = & s (x, y) exp {i ϕ_{linear} (x, y)}, \end{array}

\begin{array}{l} s_{h}^{'} (x, y) & = & s (x, y) exp {i ϕ_{linear} (x, y)} \otimes ℱ [A (u - f_{x1}, v - f_{y1})] \\ = & s_{h} (x, y) exp {i ϕ_{linear} (x, y)} \end{array}

p (x, y) = exp {i 2 π (f_{x 2} x + f_{y 2} y)},

\begin{array}{l} I (x, y) & = & {| s_{h}^{'} (x, y) + p (x, y) |}^{2} \\ = & B (x, y) + s_{h}^{'} (x, y) p^{*} (x, y) + s_{h}^{' *} (x, y) p (x, y), \end{array}

\begin{array}{l} I (x, y) & = & B (x, y) + s_{h} (x, y) exp [i 2 π {(f_{x 1} - f_{x 2}) x + (f_{y 1} - f_{y 2}) y}] \\ + s_{h}^{*} (x, y) exp [i 2 π {- (f_{x 1} - f_{x 2}) x - (f_{y 1} - f_{y 2}) y}] \\ = & B (x, y) + s_{h} (x, y) exp [i 2 π {f_{x s} x + f_{y s} y}] \\ + s_{h}^{*} (x, y) exp [i 2 π {- f_{x s} x - f_{y s} y}], \end{array}

f_{x s} = f_{x 1} - f_{x 2}

f_{y s} = f_{y 1} - f_{y 2},

ℱ [I (x, y)] = ℱ [B (x, y)] + S_{h} (u - f_{x s}, v - f_{y s}) + S_{h}^{*} (- u - f_{x s}, - v - f_{y s}),

Abstract

References

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