Abstract

A novel design of dynamic holographic stereogram with a curved array of spatial light modulators (SLMs) is proposed. In general, it is difficult to simultaneously achieve a wide viewing angle and an available width for the digital holographic display. Moreover, the wide viewing angle of a display system needs a large optical numerical aperture where the paraxial approximation fails, and thus an extremely large planar SLM is necessary in using previous methods. To solve this problem, our proposed display system is composed of a curved array of SLMs to obtain a large number of data points and reduce the spatial bandwidth in SLMs. In the curved array of SLMs, each SLM is individually transformed to display local angular spectra of object wave, which is based on a fundamental idea of holographic stereogram. To embody the dynamic holographic stereogram with SLMs, each SLM is effectively reformed for simplifying the optical structure and reducing the light power loss. In detail, spatially modulated wave is optically divided and transformed, as if each SLM were composed of three sub-SLMs. This design improves the scalability in viewing angle of holographic display and the loss of light power is significantly reduced. With this method, we can achieve the digital holographic display with 22.8° viewing angle.

© 2008 Optical Society of America

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2008 (2)

2007 (2)

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

L. Onural, A. Gotchev, H. M. Ozaktas, and E. Stoykova, "A survey of signal processing problems and tools in holographic three-dimensional television," IEEE Trans. Circuits Syst. Video Technol. 17, 1631-1646 (2007).
[CrossRef]

2005 (2)

2004 (1)

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

2003 (1)

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

2002 (2)

1998 (1)

1997 (1)

1996 (1)

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

1995 (1)

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

1994 (1)

1991 (2)

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

M. W. Halle, S. A. Benton, M. A. Klug, and J. S. Underkoffler, "The ultragram: a generalized holographic stereogram," Proc. SPIE 1461, 142-155 (1991).
[CrossRef]

1983 (1)

S. A. Benton, "Survey of holographic stereograms," Proc. SPIE 367, 15-19 (1983).

1979 (1)

M. J. Bastiaans, "Transport equations for the Wigner distribution function," Opt. Acta 26, 1265-1272 (1979).
[CrossRef]

1968 (1)

J. T. McCrickerd and N. George, "Holographic stereogram from sequential component photographs," Appl. Phys. Lett. 12, 10-12 (1968).
[CrossRef]

Andrews, J. R.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Bannister, R. W.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Bastiaans, M. J.

M. J. Bastiaans, "Transport equations for the Wigner distribution function," Opt. Acta 26, 1265-1272 (1979).
[CrossRef]

Benton, S. A.

M. W. Halle, S. A. Benton, M. A. Klug, and J. S. Underkoffler, "The ultragram: a generalized holographic stereogram," Proc. SPIE 1461, 142-155 (1991).
[CrossRef]

S. A. Benton, "Survey of holographic stereograms," Proc. SPIE 367, 15-19 (1983).

Benzie, P.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Brett, P.

Cameron, C. D.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Chatterjee, M. R.

Chen, S.

Choi, H.

Choi, K.

Coomber, S. D.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Cresswell, I. G.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Endoh, H.

Fukaya, N.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

George, N.

J. T. McCrickerd and N. George, "Holographic stereogram from sequential component photographs," Appl. Phys. Lett. 12, 10-12 (1968).
[CrossRef]

Gotchev, A.

L. Onural, A. Gotchev, H. M. Ozaktas, and E. Stoykova, "A survey of signal processing problems and tools in holographic three-dimensional television," IEEE Trans. Circuits Syst. Video Technol. 17, 1631-1646 (2007).
[CrossRef]

Hahn, J.

Halle, M. W.

M. W. Halle, S. A. Benton, M. A. Klug, and J. S. Underkoffler, "The ultragram: a generalized holographic stereogram," Proc. SPIE 1461, 142-155 (1991).
[CrossRef]

Honda, T.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

M. Yamaguchi, H. Endoh, T. Honda, and N. Ohyama, "High-quality recording of a full-parallax holographic stereogram with a digital diffuser," Opt. Lett. 19, 135-137 (1994).
[CrossRef] [PubMed]

Hopf, K.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Hughes, J. R.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Hui, V.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

C. Slinger, P. Brett, V. Hui, G. Monnington, D. Pain, and I. Sage, "Electrically controllable multiple, active, computer-generated hologram," Opt. Lett. 22, 1113-1115 (1997).
[CrossRef] [PubMed]

Ingraffea, A. R.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Jackson, P. O.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Javidi, B.

Jung, S.

Kim, H.

Kim, J.

Kim, Y.

Klug, M. A.

M. W. Halle, S. A. Benton, M. A. Klug, and J. S. Underkoffler, "The ultragram: a generalized holographic stereogram," Proc. SPIE 1461, 142-155 (1991).
[CrossRef]

Lean, M. H.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Lee, B.

Lim, Y.

Maeno, K.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

Matumoto, K.

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

McCrickerd, J. T.

J. T. McCrickerd and N. George, "Holographic stereogram from sequential component photographs," Appl. Phys. Lett. 12, 10-12 (1968).
[CrossRef]

Milham, K. A.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Miller, R. J.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Min, S.-W.

Monnington, G.

Nishikawa, O.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

Ohyama, N.

Onural, L.

L. Onural, A. Gotchev, H. M. Ozaktas, and E. Stoykova, "A survey of signal processing problems and tools in holographic three-dimensional television," IEEE Trans. Circuits Syst. Video Technol. 17, 1631-1646 (2007).
[CrossRef]

Ozaktas, H. M.

L. Onural, A. Gotchev, H. M. Ozaktas, and E. Stoykova, "A survey of signal processing problems and tools in holographic three-dimensional television," IEEE Trans. Circuits Syst. Video Technol. 17, 1631-1646 (2007).
[CrossRef]

Pain, D.

Park, J.-H.

Payne, D. A.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Potyondy, D. O.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Quarrel, J.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Rainsdon, M. D.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Rakkolainen, I.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Sage, I.

Sainov, V.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Sato, K.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

Scattergood, D. C.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Shin, S.

Slinger, C.

Slinger, C. W.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Smith, A. P.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Smith, M. A.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Smith, M. G.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

Stanley, M.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Stinehour, J. E.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Stoykova, E.

L. Onural, A. Gotchev, H. M. Ozaktas, and E. Stoykova, "A survey of signal processing problems and tools in holographic three-dimensional television," IEEE Trans. Circuits Syst. Video Technol. 17, 1631-1646 (2007).
[CrossRef]

Surman, P.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Tipton, D. L.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Underkoffler, J. S.

M. W. Halle, S. A. Benton, M. A. Klug, and J. S. Underkoffler, "The ultragram: a generalized holographic stereogram," Proc. SPIE 1461, 142-155 (1991).
[CrossRef]

Urey, H.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

von Kopylow, C.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Watson, J.

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

Watson, P. J.

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Wawrzynek, P. A.

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

Webber, P. J.

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

Yamaguchi, M.

Appl. Opt. (6)

Appl. Phys. Lett. (1)

J. T. McCrickerd and N. George, "Holographic stereogram from sequential component photographs," Appl. Phys. Lett. 12, 10-12 (1968).
[CrossRef]

IEEE Trans. Circuits Syst. Video Technol. (2)

P. Benzie, J. Watson, P. Surman, I. Rakkolainen, K. Hopf, H. Urey, V. Sainov, and C. von Kopylow, "A survey of 3DTV displays: techniques and technologies," IEEE Trans. Circuits Syst. Video Technol. 17, 1647-1658 (2007).
[CrossRef]

L. Onural, A. Gotchev, H. M. Ozaktas, and E. Stoykova, "A survey of signal processing problems and tools in holographic three-dimensional television," IEEE Trans. Circuits Syst. Video Technol. 17, 1631-1646 (2007).
[CrossRef]

Opt. Acta (1)

M. J. Bastiaans, "Transport equations for the Wigner distribution function," Opt. Acta 26, 1265-1272 (1979).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Proc. SPIE (7)

N. Fukaya, K. Maeno, O. Nishikawa, K. Matumoto, K. Sato, and T. Honda, "Expansion of the image size and viewing zone in holographic display using liquid crystal devices," Proc. SPIE 2406, 283-289 (1995).

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, "Electro-holographic display using 15 mega pixels LCD," Proc. SPIE 2652, 15-23 (1996).
[CrossRef]

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, "100 mega-pixel computer generated holographic images from active tiling--a dynamic and scalable electro-optic modulator system," Proc. SPIE 5005, 247-258 (2003).
[CrossRef]

C. W. Slinger, C. D. Cameron, S. D. Coomber, R. J. Miller, D. A. Payne, A. P. Smith, M. G. Smith, M. Stanley, and P. J. Watson, "Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization," Proc. SPIE 5290, 27-41 (2004).
[CrossRef]

S. A. Benton, "Survey of holographic stereograms," Proc. SPIE 367, 15-19 (1983).

J. R. Andrews, J. E. Stinehour, M. H. Lean, D. O. Potyondy, P. A. Wawrzynek, A. R. Ingraffea, and M. D. Rainsdon, "Holographic display of computer simulations," Proc. SPIE 1461, 110-123 (1991).
[CrossRef]

M. W. Halle, S. A. Benton, M. A. Klug, and J. S. Underkoffler, "The ultragram: a generalized holographic stereogram," Proc. SPIE 1461, 142-155 (1991).
[CrossRef]

Other (3)

T. Yatagai and Y. Sando, "Phase-shifting digital holography," in Digital Holography and Three-dimensional Display, T.-C. Poon, ed., (Springer, 2006), pp. 257-272.

M. Kovachev, R. Ilieva, P. Benzie, G. B. Esmer, L. Onural, J. Watson, and T. Reyhan, "Holographic displays using spatial light modulators," in Three-Dimensional Television: Capture, Transmission, and Display, H. M. Ozaktas and L. Onural, eds., (Springer Verlag, 2007), pp. 529-556.

J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company Publishers, 2004).

Supplementary Material (1)

» Media 1: AVI (3271 KB)     

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Figures (14)

Fig. 1.
Fig. 1.

Local viewing angles in field of view displayed by a single SLM.

Fig. 2.
Fig. 2.

Total viewing angles in field of view displayed by a single SLM in (a) three dimensional view and (b) planar view.

Fig. 3.
Fig. 3.

Angular spectrum of object wave and their recording positions on (a) a conventional planar hologram and (b) a curved holographic stereogram.

Fig. 4.
Fig. 4.

Fields of view displayed by (a) a conventional planar SLM and (b) a curved array of SLMs.

Fig. 5.
Fig. 5.

Equivalent fields of view (a) by three sub-SLMs positioned at different vertical heights in contact with each other diagonally and (b) by effectively reformed SLM.

Fig. 6.
Fig. 6.

Embodiment of effectively reformed SLM: (a) structure of effectively reformed SLM and (b) central directions of three sub-views.

Fig. 7.
Fig. 7.

Central directions of local view in a curved array of SLMs.

Fig. 8.
Fig. 8.

Quality deterioration in upper arm of effectively reformed SLM resulting from mirrors.

Fig. 9.
Fig. 9.

Characteristics of SLM with (a) phase modulation and (b) amplitude transmission.

Fig. 10.
Fig. 10.

Schematics of the proposed wide viewing angle dynamic holographic stereogram.

Fig. 11.
Fig. 11.

Pictures of the dynamic holographic stereogram: (a) the curved array of SLMs mounted without upper arms and (b) whole system with electronic controllers.

Fig. 12.
Fig. 12.

Configuration of objects and definition of central directions to generate holograms.

Fig. 13.
Fig. 13.

Computer generated holograms and respective numerical reconstructions: holograms positioned at (a) the 1st, (b) the 19th, and (c) the 36th viewing directions. Parts (d) through (f) are correspondent images numerically reconstructed from parts (a) through (c), respectively.

Fig. 14.
Fig. 14.

Pictures of the implemented dynamic holographic stereogram: (a) right view (b) center view and (c) left view. Part (d) is movie (1.83MB). [Media 1]

Equations (32)

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

U f ( u , v ) = A jλf exp [ j k 2 f 1 d f ( u 2 + v 2 ) ] U i ( ξ , η ) P ξ + d f u , η + d f v exp [ j 2 π λf ( ξu + ηv ) ] dξdη .
U i ( ξ , η ) = n = 0 n = N m = 0 m = M U i ( n , m ) δ [ ξ ( n N 2 ) p ] δ [ η ( m M 2 ) p ] rect ( ξ p a ) rect ( η p a ) .
U f ( u , v ) = A p a 2 j ( λf ) 3 exp [ j k 2 f ( 1 d f ) ( u 2 + v 2 ) ] × sin c ( p a u λf ) sin c ( p a v λf )
× n = 0 n = N m = 0 m = M U i ( n , m ) exp { j 2 πp λf [ ( n N 2 ) u + ( m M 2 ) v ] } .
W u = λf p ,
W v = λf p .
W ( u , v , α λ , β λ ; 0 ) = U f ( u + u′ 2 , v + v′ 2 ) U f * ( u u′ 2 , v v′ 2 ) exp [ j 2 π ( α λ u′ + β λ v′ ) ] du′dv′ .
A ( α λ , β λ ; 0 ) 2 = W ( u , v , α λ , β λ ; 0 ) dudv .
W ( u , v , α λ , β λ ; 0 ) = 16 A 2 ( λf ) 2 n 1 = 0 n 1 = N m 1 = 0 m 1 = M n 2 = 0 n 2 = N m 2 = 0 m 2 = M U i ( n 1 , m 1 ) U i * ( n 2 , m 2 ) exp { j 2 πp λf [ ( n 1 n 2 ) u + ( m 1 m 2 ) v ] }
× Λ { 2 λf p a [ α λ 1 λf ( 1 d f ) u p ( n 1 + n 2 N ) 2 λf ] } Λ { 2 λf p a [ β λ 1 λf ( 1 d f ) v p ( m 1 + m 2 M ) 2 λf ] } .
( α c , β c ) = 1 f ( 1 d f ) ( u , v ) .
θ u Δ α = Np f ,
θ v Δ β = Mp f .
W u W v θ u θ v λ 2 N × M .
W N ( u , v , α λ , β λ ; 0 ) = W ( u , v , α λ , β λ ; 0 ) rect ( pu λf ) rect ( pv λf ) .
dW ( u , v , α λ , β λ ; 0 ) ds = 0 .
W ( u , v , α λ , β λ ; z ) = W ( u α γ z , v β γ z , α λ , β λ ; 0 ) .
γ = 1 α 2 β 2 .
W N ( u , v , α λ , β λ ; z ) = 16 A 2 ( λf ) 2 n 1 = 0 n 1 = N m 1 = 0 m 1 = N n 2 = 0 n 2 = N m 2 = 0 m 2 = M U i ( n 1 , m 1 ) U 1 * ( n 2 , m 2 )
× exp { j 2 πp λf [ ( n 1 n 2 ) ( u α γ z ) + ( m 1 m 2 ) ( v β γ z ) ] }
× Λ { 2 λf p a [ α λ 1 λf ( 1 d f ) ( u α γ z ) p ( n 1 + n 2 N ) 2 λf ] }
× Λ { 2 λf p a [ β λ 1 λf ( 1 d f ) ( v β γ z ) p ( m 1 + m 2 M ) 2 λf ] }
× rect [ p λf ( u α γ z ) ] rect [ p λf ( v β γ z ) ] .
N < ( f d ) λ p 2 ,
M < ( f d ) λ p 2 .
Θ u 2 tan 1 [ Np 2 f λ 2 p ( 1 d f ) ] = 2 tan 1 [ λN 2 W u λ 2 p ( 1 d f ) ] ,
Θ v 2 tan 1 [ Mp 2 f λ 2 p ( 1 d f ) ] = 2 tan 1 [ λM 2 W v λ 2 p ( 1 d f ) ] .
ϕ U = 2 tan 1 ( λf U ) .
Θ′ u = ( n 1 ) θ′ u + 2 tan 1 [ N′p 2 f λ 2 p ( 1 d f ) ]
= ( n 1 ) N′p f + 2 tan 1 [ N′p 2 f λ 2 p ( 1 d f ) ] .
w′ = λ p [ d + l 1 + l 2 + l 3 d ( l 1 + l 2 + l 3 ) f ] .
w 2 w 2 w 2 w 2 rect ( x u w′ ) dxdu w 2 w 2 rect ( x u w′ ) dxdu = 1 w′ 4 w .

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