Abstract

Iterative Fourier transform algorithms are widely used for creating holograms in holographic image projection. However, the reconstructed image always suffers from the speckle noise severely due to the uncontrolled phase distribution of the image. In this paper, a new iterative method is proposed to eliminate the speckle noise. In the iteration, the amplitude and phase in the signal window in the output plane are constrained to the desired distribution and a special object-dependent quadratic phase distribution, respectively. Since the phase of the reconstructed image is assigned artificially, the speckle noise came from the destructive interference between the sampling points with random and erratic phase distribution can be eliminated. To verify the method, simulations and experiments are performed. And the result shows that high quality, low noise images can be achieved.

© 2016 Optical Society of America

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References

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  1. E. Buckley, “Holographic projector using one lens,” Opt. Lett. 35(20), 3399–3401 (2010).
    [Crossref] [PubMed]
  2. I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
    [Crossref]
  3. R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).
  4. J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19(3), 297–305 (1980).
    [Crossref]
  5. F. Wyrowski, “Iterative quantization of digital amplitude holograms,” Appl. Opt. 28(18), 3864–3870 (1989).
    [Crossref] [PubMed]
  6. O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43(11), 2549–2556 (2004).
    [Crossref]
  7. L. Golan and S. Shoham, “Speckle elimination using shift-averaging in high-rate holographic projection,” Opt. Express 17(3), 1330–1339 (2009).
    [Crossref] [PubMed]
  8. W. Qu, H. Gu, Q. Tan, and G. Jin, “Precise design of two-dimensional diffractive optical elements for beam shaping,” Appl. Opt. 54(21), 6521–6525 (2015).
    [Crossref] [PubMed]
  9. M. Pasienski and B. Demarco, “A high-accuracy algorithm for designing arbitrary holographic atom traps,” Opt. Express 16(3), 2176–2190 (2008).
    [Crossref] [PubMed]
  10. T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23(7), 9549–9554 (2015).
    [Crossref] [PubMed]
  11. T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
    [Crossref] [PubMed]
  12. F. Wyrowski and O. Bryngdahl, “Iterative Fourier-transform agorithm applied to computer holography,” J. Opt. Soc. Am. A 5(7), 1058–1065 (1988).
    [Crossref]
  13. J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
    [Crossref]
  14. Z. Z. Yuan and S. H. Tao, “Generation of phase-gradient optical beams with an iterative algorithm,” J. Opt. 16(10), 105701 (2014).
    [Crossref]
  15. S. Tao and W. Yu, “Beam shaping of complex amplitude with separate constraints on the output beam,” Opt. Express 23(2), 1052–1062 (2015).
    [Crossref] [PubMed]
  16. L. Wu, S. Cheng, and S. Tao, “Simultaneous shaping of amplitude and phase of light in the entire output plane with a phase-only hologram,” Sci. Rep. 5, 15426 (2015).
    [Crossref] [PubMed]
  17. 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]
  18. Source, http://www.nipic.com/show/4/79/0669c128df853223.html
  19. T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
    [Crossref]

2015 (8)

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

W. Qu, H. Gu, Q. Tan, and G. Jin, “Precise design of two-dimensional diffractive optical elements for beam shaping,” Appl. Opt. 54(21), 6521–6525 (2015).
[Crossref] [PubMed]

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23(7), 9549–9554 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

S. Tao and W. Yu, “Beam shaping of complex amplitude with separate constraints on the output beam,” Opt. Express 23(2), 1052–1062 (2015).
[Crossref] [PubMed]

L. Wu, S. Cheng, and S. Tao, “Simultaneous shaping of amplitude and phase of light in the entire output plane with a phase-only hologram,” Sci. Rep. 5, 15426 (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]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

2014 (1)

Z. Z. Yuan and S. H. Tao, “Generation of phase-gradient optical beams with an iterative algorithm,” J. Opt. 16(10), 105701 (2014).
[Crossref]

2010 (2)

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

E. Buckley, “Holographic projector using one lens,” Opt. Lett. 35(20), 3399–3401 (2010).
[Crossref] [PubMed]

2009 (1)

2008 (1)

2004 (1)

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43(11), 2549–2556 (2004).
[Crossref]

1989 (1)

1988 (1)

1980 (1)

J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19(3), 297–305 (1980).
[Crossref]

1972 (1)

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Bieda, M.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Bryngdahl, O.

Buckley, E.

Chang, C.

Chen, J.

Cheng, S.

L. Wu, S. Cheng, and S. Tao, “Simultaneous shaping of amplitude and phase of light in the entire output plane with a phase-only hologram,” Sci. Rep. 5, 15426 (2015).
[Crossref] [PubMed]

Chu, D. P.

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Collings, N.

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Crossland, W. A.

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Demarco, B.

Ducin, I.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Endo, Y.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Fienup, J. R.

J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19(3), 297–305 (1980).
[Crossref]

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Golan, L.

Gu, H.

Hasegawa, S.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

Herzig, H. P.

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43(11), 2549–2556 (2004).
[Crossref]

Hirayama, R.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Hiyama, D.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

Ito, T.

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23(7), 9549–9554 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Jin, G.

Kakarenko, K.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Kakue, T.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Kettunen, V.

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43(11), 2549–2556 (2004).
[Crossref]

Kolodziejczyk, A.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Kowalczyk, A.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Lei, W.

Liu, J. S.

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Makowski, M.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Nagahama, Y.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Oikawa, M.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

Pasienski, M.

Qu, W.

Ripoll, O.

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43(11), 2549–2556 (2004).
[Crossref]

Sano, M.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Shimobaba, T.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23(7), 9549–9554 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

Shoham, S.

Sugie, T.

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Random phase-free kinoform for large objects,” Opt. Express 23(13), 17269–17274 (2015).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

Suszek, J.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Sypek, M.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Taghizadeh, M. R.

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Tan, Q.

Tao, S.

S. Tao and W. Yu, “Beam shaping of complex amplitude with separate constraints on the output beam,” Opt. Express 23(2), 1052–1062 (2015).
[Crossref] [PubMed]

L. Wu, S. Cheng, and S. Tao, “Simultaneous shaping of amplitude and phase of light in the entire output plane with a phase-only hologram,” Sci. Rep. 5, 15426 (2015).
[Crossref] [PubMed]

Tao, S. H.

Z. Z. Yuan and S. H. Tao, “Generation of phase-gradient optical beams with an iterative algorithm,” J. Opt. 16(10), 105701 (2014).
[Crossref]

Waddie, A.

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Wu, L.

L. Wu, S. Cheng, and S. Tao, “Simultaneous shaping of amplitude and phase of light in the entire output plane with a phase-only hologram,” Sci. Rep. 5, 15426 (2015).
[Crossref] [PubMed]

Wyrowski, F.

Xia, J.

Yang, L.

Yang, Z.

Yu, W.

Yuan, Z. Z.

Z. Z. Yuan and S. H. Tao, “Generation of phase-gradient optical beams with an iterative algorithm,” J. Opt. 16(10), 105701 (2014).
[Crossref]

Appl. Opt. (3)

J. Opt. (2)

J. S. Liu, N. Collings, W. A. Crossland, D. P. Chu, A. Waddie, and M. R. Taghizadeh, “Simulation and experiment on generation of an arbitrary array of intense spots by a tiled hologram,” J. Opt. 12(8), 085402 (2010).
[Crossref]

Z. Z. Yuan and S. H. Tao, “Generation of phase-gradient optical beams with an iterative algorithm,” J. Opt. 16(10), 105701 (2014).
[Crossref]

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

Opt. Commun. (2)

T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, “Improvement of the image quality of random phase-free holography using an iterative method,” Opt. Commun. 355, 596–601 (2015).
[Crossref]

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Opt. Eng. (2)

J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19(3), 297–305 (1980).
[Crossref]

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43(11), 2549–2556 (2004).
[Crossref]

Opt. Express (5)

Opt. Lett. (1)

Optik (Stuttg.) (1)

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Sci. Rep. (1)

L. Wu, S. Cheng, and S. Tao, “Simultaneous shaping of amplitude and phase of light in the entire output plane with a phase-only hologram,” Sci. Rep. 5, 15426 (2015).
[Crossref] [PubMed]

Other (1)

Source, http://www.nipic.com/show/4/79/0669c128df853223.html

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Figures (10)

Fig. 1
Fig. 1 Optical architecture for holographic image projection.
Fig. 2
Fig. 2 Block diagram of the proposed method.
Fig. 3
Fig. 3 Spectrum of the ‘tiger’ pattern superimposed with different phase: (a) random phase; (b) constant phase; quadratic phase (c) Ф = 0.002xo2 + 0.001yo2; (d) Ф = 0.008xo2 + 0.005yo2; (e) Ф = 0.011xo2 + 0.008yo2. And the reconstructed image with FFT of the zero-padded spectrum are shown in (f),(g),(h),(i),(j), respectively. (k),(l),(m),(n) and (o) are the reconstructed image with IFFT of the phase component of the spectrum in (a),(b),(c),(d) and (e), respectively.
Fig. 4
Fig. 4 Target images.
Fig. 5
Fig. 5 The calculated hologram and the reconstructed image.
Fig. 6
Fig. 6 The intensity and phase profile of the reconstructed line with three different methods. Our method (a), DBGS algorithm (b), and GS algorithm (c).
Fig. 7
Fig. 7 Designed result with our method. (a) Calculated hologram; (b) reconstructed intensity; (c) reconstructed phase; (d) desired quadratic phase; (e) value of Фc-Ф; (f) convergence of the iteration.
Fig. 8
Fig. 8 Optical setup for holographic image projection.
Fig. 9
Fig. 9 Optical reconstruction of the line pattern and its cross-section intensity distribution with three methods: (a) GS algorithm; (b) DBGS algorithm; (c) our method.
Fig. 10
Fig. 10 Optical reconstruction of the ‘tiger’ pattern with three methods: (a) GS algorithm; (b) DBGS algorithm; (c) our method.

Equations (3)

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u o '( x o , y o )={ c| u d ( x o , y o ) |exp( iΦ ), x o , y o S u o ( x o , y o ), x o , y o N ,
Φ( x o , y o )=A x o 2 +B y o 2 ,
σ= max( I s )max( I s ) max( I s )+max( I s ) ,η= xo,yoS I c I c .

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