Abstract

In this paper, a conventional simulated annealing (SA) method for optimization of a kinoform computer generated hologram (CGH) is analyzed and the SA method is modified to reduce a reconstruction error rate (ER) of the CGH. The dependences of the quantization level of the hologram pattern and the size of the data on the ER are analyzed. To overcome saturation of the ER, the conventional SA method is modified as it magnifies a Fourier-transformed pattern in the intermediate step. The proposed method can achieve a small ER less than 1%, which is impossible in the conventional SA method.

© 2009 Optical Society of Korea

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  1. W. H. Lee, "Binary computer-generated holograms," Appl. Opt. 18, 3661-3669 (1979)
    [CrossRef]
  2. J. Ashley, M.-P Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. Macfarlane, R. M. Shelby, and G. T. Sincerbox, "Holographic data storage," IBM J. Res. Develop. 44, 341-368 (2000)
  3. T.-C. Poon Ed., Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, Berlin, Germany, 2006)
  4. N. Takahashi and T. Fujiyoshi, "System and process for reading hologram code, hologram and card containing hologram," U.S. Patent 5444225 (1995)
  5. M. P. Dames, R. J. Dowling, P. McKee, and D. Wood, "Efficient optical elements to generate intensity weighted spot arrays: design and fabrication," Appl. Opt. 30, 2685-2691 (1991)
    [CrossRef]
  6. A. Cable, P. Mesh, and T. Wilkinson, "Production of computer-generated holograms on recordable compact disk media using a compact disk writer," Opt. Eng. 42, 2514-2520 (2003)
    [CrossRef]
  7. J. Kim, J. Choi, J. An, N. Kim, and K. Lee, "Digital holographic security system based on random phase encoded reference beams and fingerprint identification," Opt. Comm. 247, 265-274 (2005)
    [CrossRef]
  8. L. B. Lesem, P. M. Hirsch, and J. A. Jordan, Jr., "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969)
  9. Y. Hamano and H. Hirai, "Optical pickup and optical information processing apparatus," PCT Patent, WO2007/123250 (2007)
  10. A. Kolodziejczyk, Z. Jaroszewiczb, A. Kowalikc, and O. Quinterod, "Kinoform sampling filter," Opt. Comm. 200, 35-42 (2001)
    [CrossRef]
  11. M. C. Gallagher and B. Lui, "Method for computing kinoforms that reduces image reconstruction error," Appl. Opt. 12, 2328-2335 (1973)
    [CrossRef]
  12. T. Yatagai and M. Takeda, "Effect of phase nonlinearity in kinoform," Optik 43, 337-352 (1975)
  13. J. R. Fienup, "Iterative method applied to image reconstruction and to computer-generated holograms," Opt. Eng. 19, 297-305 (1980)
  14. F. Wyrowski and O. Bryngdahl, "Iterative Fouriertransform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988)
    [CrossRef]
  15. M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987)
    [CrossRef]
  16. N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform by SA," Appl. Opt 33, 863-868 (1994)
    [CrossRef]

2007 (1)

Y. Hamano and H. Hirai, "Optical pickup and optical information processing apparatus," PCT Patent, WO2007/123250 (2007)

2006 (1)

T.-C. Poon Ed., Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, Berlin, Germany, 2006)

2005 (1)

J. Kim, J. Choi, J. An, N. Kim, and K. Lee, "Digital holographic security system based on random phase encoded reference beams and fingerprint identification," Opt. Comm. 247, 265-274 (2005)
[CrossRef]

2003 (1)

A. Cable, P. Mesh, and T. Wilkinson, "Production of computer-generated holograms on recordable compact disk media using a compact disk writer," Opt. Eng. 42, 2514-2520 (2003)
[CrossRef]

2001 (1)

A. Kolodziejczyk, Z. Jaroszewiczb, A. Kowalikc, and O. Quinterod, "Kinoform sampling filter," Opt. Comm. 200, 35-42 (2001)
[CrossRef]

2000 (1)

J. Ashley, M.-P Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. Macfarlane, R. M. Shelby, and G. T. Sincerbox, "Holographic data storage," IBM J. Res. Develop. 44, 341-368 (2000)

1995 (1)

N. Takahashi and T. Fujiyoshi, "System and process for reading hologram code, hologram and card containing hologram," U.S. Patent 5444225 (1995)

1994 (1)

N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform by SA," Appl. Opt 33, 863-868 (1994)
[CrossRef]

1991 (1)

M. P. Dames, R. J. Dowling, P. McKee, and D. Wood, "Efficient optical elements to generate intensity weighted spot arrays: design and fabrication," Appl. Opt. 30, 2685-2691 (1991)
[CrossRef]

1988 (1)

F. Wyrowski and O. Bryngdahl, "Iterative Fouriertransform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988)
[CrossRef]

1987 (1)

M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987)
[CrossRef]

1980 (1)

J. R. Fienup, "Iterative method applied to image reconstruction and to computer-generated holograms," Opt. Eng. 19, 297-305 (1980)

1979 (1)

W. H. Lee, "Binary computer-generated holograms," Appl. Opt. 18, 3661-3669 (1979)
[CrossRef]

1975 (1)

T. Yatagai and M. Takeda, "Effect of phase nonlinearity in kinoform," Optik 43, 337-352 (1975)

1973 (1)

M. C. Gallagher and B. Lui, "Method for computing kinoforms that reduces image reconstruction error," Appl. Opt. 12, 2328-2335 (1973)
[CrossRef]

1969 (1)

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, Jr., "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969)

Applied Optics (5)

W. H. Lee, "Binary computer-generated holograms," Appl. Opt. 18, 3661-3669 (1979)
[CrossRef]

M. P. Dames, R. J. Dowling, P. McKee, and D. Wood, "Efficient optical elements to generate intensity weighted spot arrays: design and fabrication," Appl. Opt. 30, 2685-2691 (1991)
[CrossRef]

M. C. Gallagher and B. Lui, "Method for computing kinoforms that reduces image reconstruction error," Appl. Opt. 12, 2328-2335 (1973)
[CrossRef]

M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987)
[CrossRef]

N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform by SA," Appl. Opt 33, 863-868 (1994)
[CrossRef]

IBM J. Res. Develop. (1)

J. Ashley, M.-P Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. Macfarlane, R. M. Shelby, and G. T. Sincerbox, "Holographic data storage," IBM J. Res. Develop. 44, 341-368 (2000)

IBM Journal of Research and Development (1)

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, Jr., "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969)

JOSA A (1)

F. Wyrowski and O. Bryngdahl, "Iterative Fouriertransform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988)
[CrossRef]

Opt. Eng. (2)

J. R. Fienup, "Iterative method applied to image reconstruction and to computer-generated holograms," Opt. Eng. 19, 297-305 (1980)

A. Cable, P. Mesh, and T. Wilkinson, "Production of computer-generated holograms on recordable compact disk media using a compact disk writer," Opt. Eng. 42, 2514-2520 (2003)
[CrossRef]

Optics Communications (2)

J. Kim, J. Choi, J. An, N. Kim, and K. Lee, "Digital holographic security system based on random phase encoded reference beams and fingerprint identification," Opt. Comm. 247, 265-274 (2005)
[CrossRef]

A. Kolodziejczyk, Z. Jaroszewiczb, A. Kowalikc, and O. Quinterod, "Kinoform sampling filter," Opt. Comm. 200, 35-42 (2001)
[CrossRef]

Optik (1)

T. Yatagai and M. Takeda, "Effect of phase nonlinearity in kinoform," Optik 43, 337-352 (1975)

Other (3)

Y. Hamano and H. Hirai, "Optical pickup and optical information processing apparatus," PCT Patent, WO2007/123250 (2007)

T.-C. Poon Ed., Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, Berlin, Germany, 2006)

N. Takahashi and T. Fujiyoshi, "System and process for reading hologram code, hologram and card containing hologram," U.S. Patent 5444225 (1995)

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