Abstract

The Gerchberg–Saxton (GS) iteration algorithm is widely used for phase-only computer-generated holograms. However, as the GS algorithm was originally developed for single-plane holographic reconstruction, its reconstruction capability for multiple planes is limited. The additive cross-talk between different image planes results in image-quality degradation. In this study, we propose a dynamic compensatory GS algorithm, where the weighting factors of the amplitude-constraining function are dynamically adjusted during each iteration. Both simulation and experimental results prove significant improvement on average image quality of multiple planes.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  1. P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
    [Crossref] [PubMed]
  2. S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
    [Crossref]
  3. X. Li, C. P. Chen, Y. Li, W. Hu, H. Li, X. Jiang, N. Rong, Y. Yuan, J. Lu, and Y. Su, “51.1: Real‐Time Holographic Display Using Quantum Dot Doped Liquid Crystal,” SID Symp. Dig. Tech. Papers 45(1), 736–738 (2014).
    [Crossref]
  4. X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
    [Crossref]
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    [Crossref] [PubMed]
  6. G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
    [Crossref] [PubMed]
  7. K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express 19(10), 9086–9101 (2011).
    [Crossref] [PubMed]
  8. Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
    [Crossref] [PubMed]
  9. M. Huebschman, B. Munjuluri, and H. Garner, “Dynamic holographic 3-D image projection,” Opt. Express 11(5), 437–445 (2003).
    [Crossref] [PubMed]
  10. L. Lesem, P. Hirsch, and J. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13(2), 150–155 (1969).
    [Crossref]
  11. M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
    [Crossref]
  12. M. Yang and J. Ding, “Area encoding for design of phase-only computer-generated holograms,” Opt. Commun. 203(1-2), 51–60 (2002).
    [Crossref]
  13. H. O. Bartelt, “Computer-generated holographic component with optimum light efficiency,” Appl. Opt. 23(10), 1499–1502 (1984).
    [Crossref] [PubMed]
  14. X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
    [Crossref] [PubMed]
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    [Crossref]
  17. P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
    [Crossref] [PubMed]
  18. C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
    [Crossref]
  19. T. Haist, M. Schönleber, and H. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140(4-6), 299–308 (1997).
    [Crossref]
  20. J. Liu, A. Caley, and M. Taghizadeh, “Symmetrical iterative Fourier-transform algorithm using both phase and amplitude freedoms,” Opt. Commun. 267(2), 347–355 (2006).
    [Crossref]
  21. J. S. Liu and M. R. Taghizadeh, “Iterative algorithm for the design of diffractive phase elements for laser beam shaping,” Opt. Lett. 27(16), 1463–1465 (2002).
    [Crossref] [PubMed]
  22. Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding in the Fresnel domain,” Opt. Lett. 32(13), 1914–1916 (2007).
    [Crossref] [PubMed]
  23. Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding by information prechoosing,” Opt. Lett. 33(6), 542–544 (2008).
    [Crossref] [PubMed]
  24. M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
    [Crossref]
  25. P. Zhou, Y. Li, C. P. Chen, X. Li, W. Hu, N. Rong, Y. Yuan, S. Liu, and Y. Su, “30.4: Multi-Plane Holographic Display with a Uniform 3D Gerchberg-Saxton Algorithm,” SID Symp. Dig. Tech. Papers 46(1), 442–445 (2015).
    [Crossref]
  26. C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
    [Crossref] [PubMed]
  27. Y. Takaki and M. Yokouchi, “Speckle-free and grayscale hologram reconstruction using time-multiplexing technique,” Opt. Express 19(8), 7567–7579 (2011).
    [Crossref] [PubMed]

2015 (2)

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

2014 (3)

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

2013 (2)

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

2011 (3)

K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express 19(10), 9086–9101 (2011).
[Crossref] [PubMed]

C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
[Crossref]

Y. Takaki and M. Yokouchi, “Speckle-free and grayscale hologram reconstruction using time-multiplexing technique,” Opt. Express 19(8), 7567–7579 (2011).
[Crossref] [PubMed]

2010 (2)

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
[Crossref]

2009 (1)

J. Xia and H. Yin, “Three-dimensional light modulation using phase-only spatial light modulator,” Opt. Eng. 48(2), 020502 (2009).
[Crossref]

2008 (1)

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding by information prechoosing,” Opt. Lett. 33(6), 542–544 (2008).
[Crossref] [PubMed]

2007 (2)

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding in the Fresnel domain,” Opt. Lett. 32(13), 1914–1916 (2007).
[Crossref] [PubMed]

2006 (1)

J. Liu, A. Caley, and M. Taghizadeh, “Symmetrical iterative Fourier-transform algorithm using both phase and amplitude freedoms,” Opt. Commun. 267(2), 347–355 (2006).
[Crossref]

2005 (1)

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
[Crossref]

2003 (1)

M. Huebschman, B. Munjuluri, and H. Garner, “Dynamic holographic 3-D image projection,” Opt. Express 11(5), 437–445 (2003).
[Crossref] [PubMed]

2002 (2)

M. Yang and J. Ding, “Area encoding for design of phase-only computer-generated holograms,” Opt. Commun. 203(1-2), 51–60 (2002).
[Crossref]

J. S. Liu and M. R. Taghizadeh, “Iterative algorithm for the design of diffractive phase elements for laser beam shaping,” Opt. Lett. 27(16), 1463–1465 (2002).
[Crossref] [PubMed]

1997 (1)

T. Haist, M. Schönleber, and H. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140(4-6), 299–308 (1997).
[Crossref]

1984 (1)

H. O. Bartelt, “Computer-generated holographic component with optimum light efficiency,” Appl. Opt. 23(10), 1499–1502 (1984).
[Crossref] [PubMed]

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35(2), 237–246 (1972).

1969 (1)

L. Lesem, P. Hirsch, and J. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13(2), 150–155 (1969).
[Crossref]

Arai, D.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Bablumian, A.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Bartelt, H. O.

H. O. Bartelt, “Computer-generated holographic component with optimum light efficiency,” Appl. Opt. 23(10), 1499–1502 (1984).
[Crossref] [PubMed]

Bi, Y.

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

Blanche, P.-A.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Caley, A.

J. Liu, A. Caley, and M. Taghizadeh, “Symmetrical iterative Fourier-transform algorithm using both phase and amplitude freedoms,” Opt. Commun. 267(2), 347–355 (2006).
[Crossref]

Chang, C.

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

Chen, C. P.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Chen, J.

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

Christenson, C.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Ding, J.

M. Yang and J. Ding, “Area encoding for design of phase-only computer-generated holograms,” Opt. Commun. 203(1-2), 51–60 (2002).
[Crossref]

Endo, Y.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Fan, C.

C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
[Crossref]

Flores, D.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Fütterer, G.

S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
[Crossref]

Gao, H. Y.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Garner, H.

M. Huebschman, B. Munjuluri, and H. Garner, “Dynamic holographic 3-D image projection,” Opt. Express 11(5), 437–445 (2003).
[Crossref] [PubMed]

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35(2), 237–246 (1972).

Gu, T.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Haist, T.

T. Haist, M. Schönleber, and H. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140(4-6), 299–308 (1997).
[Crossref]

Han, J.

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

Häussler, R.

S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
[Crossref]

He, G. F.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

He, Z. H.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Hirayama, R.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Hirsch, P.

L. Lesem, P. Hirsch, and J. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13(2), 150–155 (1969).
[Crossref]

Hiyama, D.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Hsieh, W.-Y.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Hu, B.

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

Hu, W.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Huebschman, M.

M. Huebschman, B. Munjuluri, and H. Garner, “Dynamic holographic 3-D image projection,” Opt. Express 11(5), 437–445 (2003).
[Crossref] [PubMed]

Ito, T.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Jia, J.

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

Jordan, J.

L. Lesem, P. Hirsch, and J. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13(2), 150–155 (1969).
[Crossref]

Kakue, T.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Kathaperumal, M.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Kolodziejczyk, A.

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
[Crossref]

Lei, W.

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

Leister, N.

S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
[Crossref]

Lesem, L.

L. Lesem, P. Hirsch, and J. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13(2), 150–155 (1969).
[Crossref]

Li, F.

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

Li, H. J.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Li, X.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

Lin, W.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Liu, J.

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

J. Liu, A. Caley, and M. Taghizadeh, “Symmetrical iterative Fourier-transform algorithm using both phase and amplitude freedoms,” Opt. Commun. 267(2), 347–355 (2006).
[Crossref]

Liu, J. S.

J. S. Liu and M. R. Taghizadeh, “Iterative algorithm for the design of diffractive phase elements for laser beam shaping,” Opt. Lett. 27(16), 1463–1465 (2002).
[Crossref] [PubMed]

Lu, J. G.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Makowski, M.

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
[Crossref]

Mikula, G.

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
[Crossref]

Munjuluri, B.

M. Huebschman, B. Munjuluri, and H. Garner, “Dynamic holographic 3-D image projection,” Opt. Express 11(5), 437–445 (2003).
[Crossref] [PubMed]

Murano, K.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Norwood, R. A.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Pan, Y.

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

Pang, H.

C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
[Crossref]

Peyghambarian, N.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Qi, Y.

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

Rachwal, B.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Reichelt, S.

S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
[Crossref]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35(2), 237–246 (1972).

Schönleber, M.

T. Haist, M. Schönleber, and H. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140(4-6), 299–308 (1997).
[Crossref]

Shi, Y.

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding by information prechoosing,” Opt. Lett. 33(6), 542–544 (2008).
[Crossref] [PubMed]

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding in the Fresnel domain,” Opt. Lett. 32(13), 1914–1916 (2007).
[Crossref] [PubMed]

Shimobaba, T.

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

Siddiqui, O.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Situ, G.

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding by information prechoosing,” Opt. Lett. 33(6), 542–544 (2008).
[Crossref] [PubMed]

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding in the Fresnel domain,” Opt. Lett. 32(13), 1914–1916 (2007).
[Crossref] [PubMed]

Su, Y.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Sun, M.

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

Suszek, J.

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

Sypek, M.

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
[Crossref]

Taghizadeh, M.

J. Liu, A. Caley, and M. Taghizadeh, “Symmetrical iterative Fourier-transform algorithm using both phase and amplitude freedoms,” Opt. Commun. 267(2), 347–355 (2006).
[Crossref]

Taghizadeh, M. R.

J. S. Liu and M. R. Taghizadeh, “Iterative algorithm for the design of diffractive phase elements for laser beam shaping,” Opt. Lett. 27(16), 1463–1465 (2002).
[Crossref] [PubMed]

Takaki, Y.

Y. Takaki and M. Yokouchi, “Speckle-free and grayscale hologram reconstruction using time-multiplexing technique,” Opt. Express 19(8), 7567–7579 (2011).
[Crossref] [PubMed]

Thomas, J.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Tiziani, H.

T. Haist, M. Schönleber, and H. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140(4-6), 299–308 (1997).
[Crossref]

Voorakaranam, R.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Wakunami, K.

K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express 19(10), 9086–9101 (2011).
[Crossref] [PubMed]

Wang, H.

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

Wang, P.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Wang, Y.

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

Xia, J.

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

J. Xia and H. Yin, “Three-dimensional light modulation using phase-only spatial light modulator,” Opt. Eng. 48(2), 020502 (2009).
[Crossref]

Xiong, Y.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Xue, G.

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Yamaguchi, M.

K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express 19(10), 9086–9101 (2011).
[Crossref] [PubMed]

Yamamoto, M.

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Yang, L.

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

Yang, M.

M. Yang and J. Ding, “Area encoding for design of phase-only computer-generated holograms,” Opt. Commun. 203(1-2), 51–60 (2002).
[Crossref]

Yang, Z.

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

Ye, Z. C.

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Yin, H.

J. Xia and H. Yin, “Three-dimensional light modulation using phase-only spatial light modulator,” Opt. Eng. 48(2), 020502 (2009).
[Crossref]

Ying, C.

C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
[Crossref]

Yokouchi, M.

Y. Takaki and M. Yokouchi, “Speckle-free and grayscale hologram reconstruction using time-multiplexing technique,” Opt. Express 19(8), 7567–7579 (2011).
[Crossref] [PubMed]

Zhang, J.

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding by information prechoosing,” Opt. Lett. 33(6), 542–544 (2008).
[Crossref] [PubMed]

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding in the Fresnel domain,” Opt. Lett. 32(13), 1914–1916 (2007).
[Crossref] [PubMed]

Zhang, Z.

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

Zhou, P.

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

Zhou, W.

C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
[Crossref]

Appl. Opt. (3)

H. O. Bartelt, “Computer-generated holographic component with optimum light efficiency,” Appl. Opt. 23(10), 1499–1502 (1984).
[Crossref] [PubMed]

P. Zhou, Y. Bi, M. Sun, H. Wang, F. Li, and Y. Qi, “Image quality enhancement and computation acceleration of 3D holographic display using a symmetrical 3D GS algorithm,” Appl. Opt. 53(27), G209–G213 (2014).
[Crossref] [PubMed]

C. Chang, J. Xia, L. Yang, W. Lei, Z. Yang, and J. Chen, “Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm,” Appl. Opt. 54(23), 6994–7001 (2015).
[Crossref] [PubMed]

IBM J. Res. Develop. (1)

L. Lesem, P. Hirsch, and J. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13(2), 150–155 (1969).
[Crossref]

J. Disp. Technol. (1)

X. Li, C. P. Chen, H. Y. Gao, Z. H. He, Y. Xiong, H. J. Li, W. Hu, Z. C. Ye, G. F. He, J. G. Lu, and Y. Su, “Video-Rate Holographic Display Using Azo-Dye-Doped Liquid Crystal,” J. Disp. Technol. 10(6), 438–443 (2014).
[Crossref]

Nature (1)

P.-A. Blanche, A. Bablumian, R. Voorakaranam, C. Christenson, W. Lin, T. Gu, D. Flores, P. Wang, W.-Y. Hsieh, M. Kathaperumal, B. Rachwal, O. Siddiqui, J. Thomas, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Holographic three-dimensional telepresence using large-area photorefractive polymer,” Nature 468(7320), 80–83 (2010).
[Crossref] [PubMed]

Opt. Commun. (3)

M. Yang and J. Ding, “Area encoding for design of phase-only computer-generated holograms,” Opt. Commun. 203(1-2), 51–60 (2002).
[Crossref]

T. Haist, M. Schönleber, and H. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140(4-6), 299–308 (1997).
[Crossref]

J. Liu, A. Caley, and M. Taghizadeh, “Symmetrical iterative Fourier-transform algorithm using both phase and amplitude freedoms,” Opt. Commun. 267(2), 347–355 (2006).
[Crossref]

Opt. Eng. (4)

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikuła, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44(12), 125805 (2005).
[Crossref]

J. Xia and H. Yin, “Three-dimensional light modulation using phase-only spatial light modulator,” Opt. Eng. 48(2), 020502 (2009).
[Crossref]

C. Ying, H. Pang, C. Fan, and W. Zhou, “New method for the design of a phase-only computer hologram for multiplane reconstruction,” Opt. Eng. 50(5), 055802 (2011).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, G. Mikuła, and J. Suszek, “Iterative design of multiplane holograms: experiments and applications,” Opt. Eng. 46(4), 045802 (2007).
[Crossref]

Opt. Express (6)

Y. Takaki and M. Yokouchi, “Speckle-free and grayscale hologram reconstruction using time-multiplexing technique,” Opt. Express 19(8), 7567–7579 (2011).
[Crossref] [PubMed]

D. Arai, T. Shimobaba, K. Murano, Y. Endo, R. Hirayama, D. Hiyama, T. Kakue, and T. Ito, “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express 23(2), 1740–1747 (2015).
[Crossref] [PubMed]

G. Xue, J. Liu, X. Li, J. Jia, Z. Zhang, B. Hu, and Y. Wang, “Multiplexing encoding method for full-color dynamic 3D holographic display,” Opt. Express 22(15), 18473–18482 (2014).
[Crossref] [PubMed]

K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express 19(10), 9086–9101 (2011).
[Crossref] [PubMed]

M. Huebschman, B. Munjuluri, and H. Garner, “Dynamic holographic 3-D image projection,” Opt. Express 11(5), 437–445 (2003).
[Crossref] [PubMed]

X. Li, J. Liu, J. Jia, Y. Pan, and Y. Wang, “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express 21(18), 20577–20587 (2013).
[Crossref] [PubMed]

Opt. Lett. (4)

J. S. Liu and M. R. Taghizadeh, “Iterative algorithm for the design of diffractive phase elements for laser beam shaping,” Opt. Lett. 27(16), 1463–1465 (2002).
[Crossref] [PubMed]

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding in the Fresnel domain,” Opt. Lett. 32(13), 1914–1916 (2007).
[Crossref] [PubMed]

Y. Shi, G. Situ, and J. Zhang, “Multiple-image hiding by information prechoosing,” Opt. Lett. 33(6), 542–544 (2008).
[Crossref] [PubMed]

Z. Zhang, J. Liu, J. Jia, X. Li, J. Han, B. Hu, and Y. Wang, “Tunable nonuniform sampling method for fast calculation and intensity modulation in 3D dynamic holographic display,” Opt. Lett. 38(15), 2676–2679 (2013).
[Crossref] [PubMed]

Optik (Stuttg.) (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35(2), 237–246 (1972).

Proc. SPIE (1)

S. Reichelt, R. Häussler, G. Fütterer, and N. Leister, “Depth cues in human visual perception and their realization in 3D displays,” Proc. SPIE 7690(1), 76900B (2010).
[Crossref]

Other (2)

X. Li, C. P. Chen, Y. Li, W. Hu, H. Li, X. Jiang, N. Rong, Y. Yuan, J. Lu, and Y. Su, “51.1: Real‐Time Holographic Display Using Quantum Dot Doped Liquid Crystal,” SID Symp. Dig. Tech. Papers 45(1), 736–738 (2014).
[Crossref]

P. Zhou, Y. Li, C. P. Chen, X. Li, W. Hu, N. Rong, Y. Yuan, S. Liu, and Y. Su, “30.4: Multi-Plane Holographic Display with a Uniform 3D Gerchberg-Saxton Algorithm,” SID Symp. Dig. Tech. Papers 46(1), 442–445 (2015).
[Crossref]

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Figures (12)

Fig. 1
Fig. 1 Schematic diagram of the conventional GS algorithm.
Fig. 2
Fig. 2 (a) Flowchart of the DCGS method. (b) Schematic diagram of quality compensation.
Fig. 3
Fig. 3 Target image for all image planes.
Fig. 4
Fig. 4 Simulated images with the same content in different planes using (a) the GS algorithm, and (b) DCGS algorithm. Those images from left to right are corresponding to Plane 1, Plane 2… and Plane 8, respectively.
Fig. 5
Fig. 5 Simulated results of gray-level image using (a) the GS algorithm, and (b) DCGS algorithm. Those images from left to right are corresponding to Plane 1, Plane 2… and Plane 8, respectively.
Fig. 6
Fig. 6 Dynamic process about how the quality changes with the weighting factor.
Fig. 7
Fig. 7 Simulated images with different content in different planes, using (a) the GS algorithm, and (b) DCGS algorithm.
Fig. 8
Fig. 8 Reconstruction capacities of the GS, SGS and DCGS algorithms. (a) Average image quality of multiple plane reconstruction, and (b) difference between the minimum and the maximum C qualities.
Fig. 9
Fig. 9 Iteration processes for (a) binary images and (b) gray images, using the GS and DCGS algorithms. The gray level number is 256 in (b).
Fig. 10
Fig. 10 Experimental setup for reproducing the 3D images.
Fig. 11
Fig. 11 Experimentally reconstructed images using (a) the GS, and (b) DCGS algorithms, respectively. Those images from left to right are in Plane 1, Plane 2… and Plane 8, respectively.
Fig. 12
Fig. 12 Experimental reconstruction with different images in different planes, using (a) the GS, and (b) DCGS algorithms, respectively. Those images from left to right are in Plane 1, Plane 2… and Plane 4, respectively.

Equations (8)

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G i = g i exp(j φ i )=Fr T z i λ ( H i ),
G i constraint = t i exp(j φ i ),
h i exp(j ϕ i )=IFr T z i λ ( G i constraint ),
H i+1 = h 0 exp(j ϕ i ),
G i constraint =[ α i g i +( 1 α i ) t i ]exp(j φ i ).
C i = m l { [ ( t i ) ml t i ¯ ][ ( g i ) ml g i ¯ ] } { m l [ ( t i ) ml t i ¯ ] 2 }{ m l [ ( g i ) ml g i ¯ ] 2 } , t i ¯ = m l ( t i ) ml M×L , g i ¯ = m l ( g i ) ml M×L ,
α i k+1 = α i k + ( C i k C av k ) 1000 ,
α i 0 = g i ( m,l ) t i ( m,l )

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