Abstract

Enhancement of the angular selectivity in a double random-phase encoded holographic memory by use of reference plane waves is presented. In the storage algorithm, the angular selectivity is improved with the effect of random-phase masks. We show that the angular selectivity achieved by this scheme is more sensitive than that for Bragg angle detuning in a 90° geometry. Both theoretical and experimental results are presented and analyzed.

© 2004 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef]
  3. C. Denz, G. Pauliat, G. Roosen, “Volume hologram multiplexing using a deterministic phase encoding method,” Opt. Commun. 85, 171–176 (1991).
    [CrossRef]
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    [CrossRef]
  5. K. Curtis, A. Pu, D. Psaltis, “Method for holographic storage using peristrophic multiplexing,” Opt. Lett. 19, 993–995 (1994).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  7. Y. Yang, K. Buse, D. Psaltis, “Photorefractive recording in LiNbO3:Mn,” Opt. Lett. 27, 158–160 (2002).
    [CrossRef]
  8. L. Dhar, A. Hale, H. Katz, L. Schilling, M. Schnoes, F. Schilling, “Recording media that exhibit high dynamic range for digital holographic data storage,” Opt. Lett. 24, 487–489 (1999).
    [CrossRef]
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    [CrossRef]
  10. Y. H. Kang, K. H. Kim, B. Lee, “Volume hologram scheme using optical fiber for spatial multiplexing,” Opt. Lett. 22, 739–741 (1997).
    [CrossRef] [PubMed]
  11. V. Markov, “Spatial-angular selectivity of 3-D speckle-wave holograms and information storage,” J. Imaging Sci. Technol. 41, 383–388 (1997).
  12. K. H. Kim, H. S. Lee, B. Lee, “Enhancement of the wavelength selectivity of a volume hologram by use of multimode optical fiber referencing,” Opt. Lett. 23, 1224–1225 (1998).
    [CrossRef]
  13. F. Zhao, K. Sayano, “Compact read-only memory with lensless phase-conjugate holograms,” Opt. Lett. 21, 1295–1297 (1996).
    [CrossRef] [PubMed]
  14. J. J. P. Drolet, E. Chuang, G. Barbastathis, D. Psaltis, “Compact, integrated dynamic holographic memory with refreshed holograms,” Opt. Lett. 22, 552–554 (1997).
    [CrossRef] [PubMed]
  15. G. W. Burr, R. M. Shelby, “Pixel-matched phase-conjugate readout for holographic data storage,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 122–129 (1999).
    [CrossRef]
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    [CrossRef] [PubMed]
  17. C. Denz, K.-O. Muller, F. Visinka, T. Tschudi, “Digital volume holographic data storage using phase-coded holographic memory system,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 142–147 (1999).
    [CrossRef]
  18. O. Matoba, B. Javidi, “Encrypted optical memory system using three-dimensional keys in the Fresnel domain,” Opt. Lett. 24, 762–764 (1999).
    [CrossRef]
  19. O. Matoba, B. Javidi, “Encrypted optical storage with angular multiplexing,” Appl. Opt. 38, 7288–7293 (1999).
    [CrossRef]
  20. B. Javidi, A. Sergent, G. Zhang, L. Guibert, “Fault tolerance properties of a double random phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
    [CrossRef]
  21. J. Kim, S. Lee, H. Lee, B. Lee, “Cross talk in holographic memories with lensless phase-conjugate holograms,” J. Opt. Soc. Am. A 17, 2056–2060 (2000).
    [CrossRef]
  22. M. C. Bashaw, J. F. Heanue, A. Aharoni, J. F. Walkup, L. Hesselink, “Cross-talk considerations for angular and phase-encoded multiplexing in volume holography,” J. Opt. Soc. Am. B 11, 1820–1836 (1994).
    [CrossRef]
  23. C. C. Sun, M. S. Tsaur, W. C. Su, B. Wang, “Diffraction patterns for reading transmission volume holograms under Bragg mismatch,” Opt. Quantum Electron. 32, 431–442 (2000).
    [CrossRef]
  24. G. Unnikrishnan, J. Joseph, K. Singh, “Optical encryption system that uses phase conjugation in a photorefractive crystal,” Appl. Opt. 37, 8181–8186 (1998).
    [CrossRef]
  25. C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
    [CrossRef]
  26. B. Wang, C. C. Sun, W. C. Su, A. E. T. Chiou, “Shift tolerance property of an optical double random phase encoding encryption system,” Appl. Opt. 39, 4788–4793 (2000).
    [CrossRef]
  27. K. Curtis, D. Psaltis, “Cross talk for angle- and wavelength-multiplexed image plane holograms,” Opt. Lett. 19, 1774–1776 (1994).
    [CrossRef] [PubMed]
  28. J. Feinberg, “Self-pumped, continuous-wave phase conjugator using internal reflection,” Opt. Lett. 7, 486–488 (1982).
    [CrossRef] [PubMed]

2002 (1)

2001 (2)

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

C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
[CrossRef]

2000 (3)

1999 (3)

1998 (2)

1997 (4)

J. J. P. Drolet, E. Chuang, G. Barbastathis, D. Psaltis, “Compact, integrated dynamic holographic memory with refreshed holograms,” Opt. Lett. 22, 552–554 (1997).
[CrossRef] [PubMed]

B. Javidi, A. Sergent, G. Zhang, L. Guibert, “Fault tolerance properties of a double random phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[CrossRef]

Y. H. Kang, K. H. Kim, B. Lee, “Volume hologram scheme using optical fiber for spatial multiplexing,” Opt. Lett. 22, 739–741 (1997).
[CrossRef] [PubMed]

V. Markov, “Spatial-angular selectivity of 3-D speckle-wave holograms and information storage,” J. Imaging Sci. Technol. 41, 383–388 (1997).

1996 (1)

1995 (2)

1994 (3)

1993 (1)

1992 (1)

1991 (2)

F. T. S. Yu, S. Wu, A. W. Mayers, S. Rajan, “Wavelength multiplexed reflection matched spatial filters using LiNbO3,” Opt. Commun. 81, 343–347 (1991).
[CrossRef]

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

1982 (1)

Aharoni, A.

Barbastathis, G.

Bashaw, M. C.

Burr, G. W.

G. W. Burr, R. M. Shelby, “Pixel-matched phase-conjugate readout for holographic data storage,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 122–129 (1999).
[CrossRef]

Buse, K.

Chiou, A. E. T.

C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
[CrossRef]

B. Wang, C. C. Sun, W. C. Su, A. E. T. Chiou, “Shift tolerance property of an optical double random phase encoding encryption system,” Appl. Opt. 39, 4788–4793 (2000).
[CrossRef]

Chuang, E.

Curtis, K.

Denz, C.

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

C. Denz, K.-O. Muller, F. Visinka, T. Tschudi, “Digital volume holographic data storage using phase-coded holographic memory system,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 142–147 (1999).
[CrossRef]

Dhar, L.

Drolet, J. J. P.

Feinberg, J.

Gu, C.

Guibert, L.

B. Javidi, A. Sergent, G. Zhang, L. Guibert, “Fault tolerance properties of a double random phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[CrossRef]

Hale, A.

Heanue, J. F.

Hesselink, L.

Hong, J.

Javidi, B.

Joseph, J.

Kang, Y. H.

Katz, H.

Kim, J.

Kim, K. H.

Lee, B.

Lee, H.

Lee, H. S.

Lee, S.

Levene, M.

Markov, V.

V. Markov, “Spatial-angular selectivity of 3-D speckle-wave holograms and information storage,” J. Imaging Sci. Technol. 41, 383–388 (1997).

Matoba, O.

Mayers, A. W.

F. T. S. Yu, S. Wu, A. W. Mayers, S. Rajan, “Wavelength multiplexed reflection matched spatial filters using LiNbO3,” Opt. Commun. 81, 343–347 (1991).
[CrossRef]

McMichael, I.

Mok, F.

Mok, F. H.

Muller, K.-O.

C. Denz, K.-O. Muller, F. Visinka, T. Tschudi, “Digital volume holographic data storage using phase-coded holographic memory system,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 142–147 (1999).
[CrossRef]

Pauliat, G.

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

Psaltis, D.

Pu, A.

Rajan, S.

F. T. S. Yu, S. Wu, A. W. Mayers, S. Rajan, “Wavelength multiplexed reflection matched spatial filters using LiNbO3,” Opt. Commun. 81, 343–347 (1991).
[CrossRef]

Roosen, G.

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

Saxena, R.

Sayano, K.

Schilling, F.

Schilling, L.

Schnoes, M.

Sergent, A.

B. Javidi, A. Sergent, G. Zhang, L. Guibert, “Fault tolerance properties of a double random phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[CrossRef]

Shelby, R. M.

G. W. Burr, R. M. Shelby, “Pixel-matched phase-conjugate readout for holographic data storage,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 122–129 (1999).
[CrossRef]

Singh, K.

Su, W. C.

C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
[CrossRef]

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

C. C. Sun, M. S. Tsaur, W. C. Su, B. Wang, “Diffraction patterns for reading transmission volume holograms under Bragg mismatch,” Opt. Quantum Electron. 32, 431–442 (2000).
[CrossRef]

B. Wang, C. C. Sun, W. C. Su, A. E. T. Chiou, “Shift tolerance property of an optical double random phase encoding encryption system,” Appl. Opt. 39, 4788–4793 (2000).
[CrossRef]

Sun, C. C.

C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
[CrossRef]

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

C. C. Sun, M. S. Tsaur, W. C. Su, B. Wang, “Diffraction patterns for reading transmission volume holograms under Bragg mismatch,” Opt. Quantum Electron. 32, 431–442 (2000).
[CrossRef]

B. Wang, C. C. Sun, W. C. Su, A. E. T. Chiou, “Shift tolerance property of an optical double random phase encoding encryption system,” Appl. Opt. 39, 4788–4793 (2000).
[CrossRef]

Tsaur, M. S.

C. C. Sun, M. S. Tsaur, W. C. Su, B. Wang, “Diffraction patterns for reading transmission volume holograms under Bragg mismatch,” Opt. Quantum Electron. 32, 431–442 (2000).
[CrossRef]

Tschudi, T.

C. Denz, K.-O. Muller, F. Visinka, T. Tschudi, “Digital volume holographic data storage using phase-coded holographic memory system,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 142–147 (1999).
[CrossRef]

Unnikrishnan, G.

Visinka, F.

C. Denz, K.-O. Muller, F. Visinka, T. Tschudi, “Digital volume holographic data storage using phase-coded holographic memory system,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 142–147 (1999).
[CrossRef]

Walkup, J. F.

Wang, B.

C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
[CrossRef]

B. Wang, C. C. Sun, W. C. Su, A. E. T. Chiou, “Shift tolerance property of an optical double random phase encoding encryption system,” Appl. Opt. 39, 4788–4793 (2000).
[CrossRef]

C. C. Sun, M. S. Tsaur, W. C. Su, B. Wang, “Diffraction patterns for reading transmission volume holograms under Bragg mismatch,” Opt. Quantum Electron. 32, 431–442 (2000).
[CrossRef]

Wu, S.

F. T. S. Yu, S. Wu, A. W. Mayers, S. Rajan, “Wavelength multiplexed reflection matched spatial filters using LiNbO3,” Opt. Commun. 81, 343–347 (1991).
[CrossRef]

Yang, Y.

Yu, F. T. S.

F. T. S. Yu, S. Wu, A. W. Mayers, S. Rajan, “Wavelength multiplexed reflection matched spatial filters using LiNbO3,” Opt. Commun. 81, 343–347 (1991).
[CrossRef]

Zhang, G.

B. Javidi, A. Sergent, G. Zhang, L. Guibert, “Fault tolerance properties of a double random phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[CrossRef]

Zhao, F.

Appl. Opt. (5)

J. Imaging Sci. Technol. (1)

V. Markov, “Spatial-angular selectivity of 3-D speckle-wave holograms and information storage,” J. Imaging Sci. Technol. 41, 383–388 (1997).

J. Opt. Soc. Am. A (2)

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

Opt. Commun. (3)

C. C. Sun, W. C. Su, B. Wang, A. E. T. Chiou, “Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm,” Opt. Commun. 191, 209–224 (2001).
[CrossRef]

F. T. S. Yu, S. Wu, A. W. Mayers, S. Rajan, “Wavelength multiplexed reflection matched spatial filters using LiNbO3,” Opt. Commun. 81, 343–347 (1991).
[CrossRef]

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

Opt. Eng. (1)

B. Javidi, A. Sergent, G. Zhang, L. Guibert, “Fault tolerance properties of a double random phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[CrossRef]

Opt. Lett. (12)

K. Curtis, D. Psaltis, “Cross talk for angle- and wavelength-multiplexed image plane holograms,” Opt. Lett. 19, 1774–1776 (1994).
[CrossRef] [PubMed]

J. Feinberg, “Self-pumped, continuous-wave phase conjugator using internal reflection,” Opt. Lett. 7, 486–488 (1982).
[CrossRef] [PubMed]

Y. H. Kang, K. H. Kim, B. Lee, “Volume hologram scheme using optical fiber for spatial multiplexing,” Opt. Lett. 22, 739–741 (1997).
[CrossRef] [PubMed]

K. Curtis, A. Pu, D. Psaltis, “Method for holographic storage using peristrophic multiplexing,” Opt. Lett. 19, 993–995 (1994).
[CrossRef] [PubMed]

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

Y. Yang, K. Buse, D. Psaltis, “Photorefractive recording in LiNbO3:Mn,” Opt. Lett. 27, 158–160 (2002).
[CrossRef]

L. Dhar, A. Hale, H. Katz, L. Schilling, M. Schnoes, F. Schilling, “Recording media that exhibit high dynamic range for digital holographic data storage,” Opt. Lett. 24, 487–489 (1999).
[CrossRef]

K. H. Kim, H. S. Lee, B. Lee, “Enhancement of the wavelength selectivity of a volume hologram by use of multimode optical fiber referencing,” Opt. Lett. 23, 1224–1225 (1998).
[CrossRef]

F. Zhao, K. Sayano, “Compact read-only memory with lensless phase-conjugate holograms,” Opt. Lett. 21, 1295–1297 (1996).
[CrossRef] [PubMed]

J. J. P. Drolet, E. Chuang, G. Barbastathis, D. Psaltis, “Compact, integrated dynamic holographic memory with refreshed holograms,” Opt. Lett. 22, 552–554 (1997).
[CrossRef] [PubMed]

F. H. Mok, “Angle-multiplexed storage of 5000 holograms in lithium niobate,” Opt. Lett. 18, 915–917 (1993).
[CrossRef] [PubMed]

O. Matoba, B. Javidi, “Encrypted optical memory system using three-dimensional keys in the Fresnel domain,” Opt. Lett. 24, 762–764 (1999).
[CrossRef]

Opt. Quantum Electron. (1)

C. C. Sun, M. S. Tsaur, W. C. Su, B. Wang, “Diffraction patterns for reading transmission volume holograms under Bragg mismatch,” Opt. Quantum Electron. 32, 431–442 (2000).
[CrossRef]

Other (2)

C. Denz, K.-O. Muller, F. Visinka, T. Tschudi, “Digital volume holographic data storage using phase-coded holographic memory system,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 142–147 (1999).
[CrossRef]

G. W. Burr, R. M. Shelby, “Pixel-matched phase-conjugate readout for holographic data storage,” in Advanced Optical Data Storage: Materials, Systems, and Interfaces to Computers, P. A. Mitkas, Z. U. Hasan, H. J. Coufal, G. T. Sincerbox, eds., Proc. SPIE3802, 122–129 (1999).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

(a) Recording and (b) reconstruction of an encrypted volume hologram with angular multiplexing. f, focal length of the lens; z 0, the distance between the ground glass and the medium.

Fig. 2
Fig. 2

Diffraction condition at Bragg mismatch in (a) k space and (b) free space.

Fig. 3
Fig. 3

Simulation results for and experimental measurements of the angular selectivity.

Fig. 4
Fig. 4

Experimental setup of the encrypted volume hologram: M1–M3, mirrors; BS1–BS2, beam splitters; SF, spatial filter; L1–L4, lenses; S1–S2, shutters; GG, ground glass; HP1–HP3, half plates.

Fig. 5
Fig. 5

Schematic diagram of (a) angle-multiplexed holograms in a lensless phase-conjugate memory and (b) angle-multiplexed holograms with double random-phase encoding.

Fig. 6
Fig. 6

Simulation results of SNR versus hologram number (i) for (a) nonencryption storage and (b) encryption storage.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

ηΔθ  sinc2nλsinθi-θpcosθp tΔθ,
ΔθB=λ/nt.
ΔϕnΔθ=λ/t.
ηΔ=rectΔw*rectΔw  sinclΔλz02,
ηΔϕ=rectz0Δϕw*rectz0Δϕw sinclΔϕλ2.
ηΔϕ  sinc21λsinθi-θpcosθp tΔϕrectz0Δϕw *rectz0Δϕw  sinclΔϕλ2.
n=mi fm*x0, y0-ΔKmiyd+zkt sinct2πΔKmiz-12k ΔKmiy2,
NSR=misinc2t2πΔKmiz-12k ΔKmiy2.
nbd=mi gm*x1, y1-ΔKmiyd+zkt sinct2πΔKmiz-12k ΔKmiy2,
nbd=mi r2*x1, y1-ΔKmiyd+zkj=1P/2 A×exp-jφmjexp-jkmjrmjt sinct2πΔKmiz-12k ΔKmiy2.
nad=mi r2*x1, y1-ΔKmiyd+zkrx1, y1×j=1P/2 A exp-jφmjexp-jkmjrmjt×sinct2πΔKmiz-12k ΔKmiy2.
nout=F-1mi r2*x1, y1-ΔKmiyd+zkrx1, y1×j=1P/2 A exp-jφmjexp-jkmjrmjt×sinct2πΔKmiz-12k ΔKmiy2,
NSR=12Pmisinc2t2πΔKmiz-12k ΔKmiy2.

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