Abstract

Complex amplitude modulation method is presented theoretically and performed experimentally for three-dimensional (3D) dynamic holographic display with reduced speckle using a single phase-only spatial light modulator. The determination of essential factors is discussed based on the basic principle and theory. The numerical simulations and optical experiments are performed, where the static and animated objects without refinement on the surfaces and without random initial phases are reconstructed successfully. The results indicate that this method can reduce the speckle in reconstructed images effectively; furthermore, it will not cause the internal structure in the reconstructed pixels. Since the complex amplitude modulation is based on the principle of phase-only hologram, it does not need the stringent alignment of pixels. This method can be used for high resolution imaging or measurement in various optical areas.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2005).
  2. S. C. Kim, J. M. Kim, and E. S. Kim, “Effective memory reduction of the novel look-up table with one-dimensional sub-principle fringe patterns in computer-generated holograms,” Opt. Express20(11), 12021–12034 (2012).
    [CrossRef] [PubMed]
  3. H. Nishi, K. Matsushima, and S. Nakahara, “A Novel Method for Rendering Specular and Smooth Surfaces in Polygon-Based High-Definition CGH,” in Digital Holography and Three-Dimensional Imaging, OSA Technical Digest (CD) (Optical Society of America, 2011), paper DWC29.
  4. J. L. de Bougrenet de la Tocnaye and L. Dupont, “Complex amplitude modulation by use of liquid-crystal spatial light modulators,” Appl. Opt.36(8), 1730–1741 (1997).
    [CrossRef] [PubMed]
  5. R. Bräuer, U. Wojak, F. Wyrowski, and O. Bryngdahl, “Digital diffusers for optical holography,” Opt. Lett.16(18), 1427–1429 (1991).
    [CrossRef] [PubMed]
  6. Y. Z. Liu, J. W. Dong, Y. Y. Pu, B. C. Chen, H. X. He, and H. Z. Wang, “High-speed full analytical holographic computations for true-life scenes,” Opt. Express18(4), 3345–3351 (2010).
    [CrossRef] [PubMed]
  7. Y. Z. Liu, J. W. Dong, Y. Y. Pu, H. X. He, B. C. Chen, H. Z. Wang, H. Zheng, and Y. Yu, “Fraunhofer computer-generated hologram for diffused 3D scene in Fresnel region,” Opt. Lett.36(11), 2128–2130 (2011).
    [CrossRef] [PubMed]
  8. H. O. Bartelt, “Computer-generated holographic component with optimum light efficiency,” Appl. Opt.23(10), 1499–1502 (1984).
    [CrossRef] [PubMed]
  9. J. Amako, H. Miura, and T. Sonehara, “Wave-front control using liquid-crystal devices,” Appl. Opt.32(23), 4323–4329 (1993).
    [CrossRef] [PubMed]
  10. L. G. Neto, D. Roberge, and Y. Sheng, “Full-range, continuous, complex modulation by the use of two coupled-mode liquid-crystal televisions,” Appl. Opt.35(23), 4567–4576 (1996).
    [CrossRef] [PubMed]
  11. J. M. Florence and R. D. Juday, “Full-complex spatial filtering with a phase mostly DMD,” Proc. SPIE1558, 487–498 (1991).
    [CrossRef]
  12. P. M. Birch, R. Young, D. Budgett, and C. Chatwin, “Two-pixel computer-generated hologram with a zero-twist nematic liquid-crystal spatial light modulator,” Opt. Lett.25(14), 1013–1015 (2000).
    [CrossRef] [PubMed]
  13. V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett.29(3), 295–297 (2004).
    [CrossRef] [PubMed]
  14. A. Jesacher, C. Maurer, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, “Near-perfect hologram reconstruction with a spatial light modulator,” Opt. Express16(4), 2597–2603 (2008).
    [CrossRef] [PubMed]
  15. J. P. Liu, W. Y. Hsieh, T. C. Poon, and P. Tsang, “Complex Fresnel hologram display using a single SLM,” Appl. Opt.50(34), H128–H135 (2011).
    [CrossRef] [PubMed]
  16. H. Song, G. Sung, S. Choi, K. Won, H.-S. Lee, and H. Kim, “Optimal synthesis of double-phase computer generated holograms using a phase-only spatial light modulator with grating filter,” Opt. Express20(28), 29844–29853 (2012).
    [CrossRef] [PubMed]
  17. F. Bowman, Introduction to Bessel functions (Dover Publications, 1958), Chap. 1.
  18. H. Zhang, J. Xie, J. Liu, and Y. Wang, “Elimination of a zero-order beam induced by a pixelated spatial light modulator for holographic projection,” Appl. Opt.48(30), 5834–5841 (2009).
    [CrossRef] [PubMed]
  19. J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
    [CrossRef]
  20. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1999), Chap. 4.
  21. R. H.-Y. Chen and T. D. Wilkinson, “Field of view expansion for 3-D holographic display using a single spatial light modulator with scanning reconstruction light,” in Proceedings of IEEE 3DTV Conference: The True Vision—Capture, Transmission and Display of 3D Video (IEEE, 2009), pp. 1–4.
    [CrossRef]
  22. J. Hahn, H. Kim, Y. Lim, G. Park, and B. Lee, “Wide viewing angle dynamic holographic stereogram with a curved array of spatial light modulators,” Opt. Express16(16), 12372–12386 (2008).
    [CrossRef] [PubMed]

2012 (2)

2011 (3)

2010 (1)

2009 (1)

2008 (2)

2004 (1)

2000 (1)

1997 (1)

1996 (1)

1993 (1)

1991 (2)

J. M. Florence and R. D. Juday, “Full-complex spatial filtering with a phase mostly DMD,” Proc. SPIE1558, 487–498 (1991).
[CrossRef]

R. Bräuer, U. Wojak, F. Wyrowski, and O. Bryngdahl, “Digital diffusers for optical holography,” Opt. Lett.16(18), 1427–1429 (1991).
[CrossRef] [PubMed]

1984 (1)

Amako, J.

Bagnoud, V.

Bartelt, H. O.

Bernet, S.

Birch, P. M.

Bräuer, R.

Bryngdahl, O.

Budgett, D.

Chatwin, C.

Chen, B. C.

Chen, R. H.-Y.

R. H.-Y. Chen and T. D. Wilkinson, “Field of view expansion for 3-D holographic display using a single spatial light modulator with scanning reconstruction light,” in Proceedings of IEEE 3DTV Conference: The True Vision—Capture, Transmission and Display of 3D Video (IEEE, 2009), pp. 1–4.
[CrossRef]

Choi, S.

de Bougrenet de la Tocnaye, J. L.

Dong, J. W.

Dupont, L.

Florence, J. M.

J. M. Florence and R. D. Juday, “Full-complex spatial filtering with a phase mostly DMD,” Proc. SPIE1558, 487–498 (1991).
[CrossRef]

Hahn, J.

He, H. X.

Hsieh, W. Y.

Jesacher, A.

Jia, J.

J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
[CrossRef]

Juday, R. D.

J. M. Florence and R. D. Juday, “Full-complex spatial filtering with a phase mostly DMD,” Proc. SPIE1558, 487–498 (1991).
[CrossRef]

Kim, E. S.

Kim, H.

Kim, J. M.

Kim, S. C.

Lee, B.

Lee, H.-S.

Li, X.

J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
[CrossRef]

Lim, Y.

Liu, J.

J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
[CrossRef]

H. Zhang, J. Xie, J. Liu, and Y. Wang, “Elimination of a zero-order beam induced by a pixelated spatial light modulator for holographic projection,” Appl. Opt.48(30), 5834–5841 (2009).
[CrossRef] [PubMed]

Liu, J. P.

Liu, Y. Z.

Maurer, C.

Miura, H.

Neto, L. G.

Park, G.

Poon, T. C.

Pu, Y. Y.

Ritsch-Marte, M.

Roberge, D.

Schwaighofer, A.

Sheng, Y.

Sonehara, T.

Song, H.

Sung, G.

Tsang, P.

Wang, H. Z.

Wang, Y.

J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
[CrossRef]

H. Zhang, J. Xie, J. Liu, and Y. Wang, “Elimination of a zero-order beam induced by a pixelated spatial light modulator for holographic projection,” Appl. Opt.48(30), 5834–5841 (2009).
[CrossRef] [PubMed]

Wilkinson, T. D.

R. H.-Y. Chen and T. D. Wilkinson, “Field of view expansion for 3-D holographic display using a single spatial light modulator with scanning reconstruction light,” in Proceedings of IEEE 3DTV Conference: The True Vision—Capture, Transmission and Display of 3D Video (IEEE, 2009), pp. 1–4.
[CrossRef]

Wojak, U.

Won, K.

Wyrowski, F.

Xie, J.

J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
[CrossRef]

H. Zhang, J. Xie, J. Liu, and Y. Wang, “Elimination of a zero-order beam induced by a pixelated spatial light modulator for holographic projection,” Appl. Opt.48(30), 5834–5841 (2009).
[CrossRef] [PubMed]

Young, R.

Yu, Y.

Zhang, H.

Zheng, H.

Zuegel, J. D.

Appl. Opt. (6)

Opt. Eng. (1)

J. Jia, Y. Wang, J. Liu, X. Li, and J. Xie, “Magnification of three-dimensional optical image without distortion in dynamic holographic projection,” Opt. Eng.50(11), 115801 (2011).
[CrossRef]

Opt. Express (5)

Opt. Lett. (4)

Proc. SPIE (1)

J. M. Florence and R. D. Juday, “Full-complex spatial filtering with a phase mostly DMD,” Proc. SPIE1558, 487–498 (1991).
[CrossRef]

Other (5)

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1999), Chap. 4.

R. H.-Y. Chen and T. D. Wilkinson, “Field of view expansion for 3-D holographic display using a single spatial light modulator with scanning reconstruction light,” in Proceedings of IEEE 3DTV Conference: The True Vision—Capture, Transmission and Display of 3D Video (IEEE, 2009), pp. 1–4.
[CrossRef]

F. Bowman, Introduction to Bessel functions (Dover Publications, 1958), Chap. 1.

H. Nishi, K. Matsushima, and S. Nakahara, “A Novel Method for Rendering Specular and Smooth Surfaces in Polygon-Based High-Definition CGH,” in Digital Holography and Three-Dimensional Imaging, OSA Technical Digest (CD) (Optical Society of America, 2011), paper DWC29.

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2005).

Supplementary Material (1)

» Media 1: MOV (2606 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (10)

Fig. 1
Fig. 1

Evaluation of complex amplitude modulation based on phase-only hologram, the results of capability of (a) phase modulation and (b) amplitude modulation. The random a column of the phase result (c) and row of the amplitude one (d) are plotted to illustrate the modulation numerically.

Fig. 2
Fig. 2

Experimental set-up for verification, where SF is spatial filter L 0 represents collimating lens, L 1 and L 2 are Fourier lenses, and f 1 and f 2 are their focal lengths respectively.

Fig. 3
Fig. 3

(a) Intensity distributions of 2D gray bar and grating in experiment. Comparison between experimental results and ideal one of (b) 2D gray bar and that of (c) binary stripe image.

Fig. 4
Fig. 4

Experimental 2D image recorded on the CCD, where (a) is the binary result and (b) is a 256-gray-level result.

Fig. 5
Fig. 5

Schematic view of optical reconstruction of 3D scenes based on complex amplitude modulation by a single spatial light modulator (SLM), where d is the distance between two objects.

Fig. 6
Fig. 6

3D scenes reconstruction results based on complex amplitude modulation, where (a) and (b) are simulation results while (c) and (d) are experimental results. (a) and (c) are the images on the plane before the back focal plane of lens 2, (b) and (d) are on the plane after it.

Fig. 7
Fig. 7

3D scenes reconstruction results based on complex amplitude modulation, where (a) and (b) are simulation results while (c) and (d) are experimental results. (a) and (c) are recorded in the front of the back focal plane of lens 2, while (b) and (d) recorded in the plane behind the focal plane.

Fig. 8
Fig. 8

Animation with a rotation cube (Media 1).

Fig. 9
Fig. 9

Experimental set-up based on Abbe's theory of image formation, where L 3 is a Fourier lens with the focal length f 3 , d 0 is the distance between the front focal plane of the Fourier transform lens L 3 and the SLM, d 1 and d 2 are the distances between the reconstructed objects and the back focal plane of L 3 .

Fig. 10
Fig. 10

Experimental results. (a) and (b) are the results recorded at two different positions without pre-compensation, and (c) and (d) are the ones with pre-compensation.

Equations (5)

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

t( x,y )= t 0 exp{ jβ O 0 ( x,y )cos[ φ 0 ( x,y ) φ r ( x,y ) ] },
u( x,y )= t 0 J m [ β O 0 ( x,y ) ] j m exp{ j[m φ 0 ( x,y )( m+1 ) φ r ( x,y )] } ,
u 1 ( x,y )j t 0 β O 0 ( x,y )exp[ j φ 0 ( x,y ) ].
α= ( f ' 2 f ' 1 ) 2 , β= f ' 2 f ' 1 ,
D max = λ f 3a .

Metrics