Abstract

A technique to alter the ratio of the horizontal and vertical resolution of a spatial light modulator has been proposed. This technique increases the horizontal resolution by a factor of K and decreases the vertical resolution by a factor of 1/K. The proposed technique increases the horizontal viewing angle by a factor of approximately K, although a conjugate image appeared. In the present study, the resolution redistribution technique is modified to eliminate the conjugate image. The height of a horizontal slit placed on the Fourier plane of a 4f imaging system used for the resolution redistribution system is reduced by half. The horizontal resolution becomes K times larger, and the vertical resolution becomes 1/2K times smaller. The improved technique generates only the object wave. We demonstrated fourfold enlargement of the horizontal resolution to increase the horizontal viewing angle by approximately four times without generating the conjugate image.

© 2008 Optical Society of America

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References

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  1. Kajiki, H. Yoshikawa, and T. Honda, “Autostereoscopic 3-D video display using multiple light beams with scanning,” IEEE Trans. Circuits Syst. Video Technol. 10, 254-260(2000).
    [CrossRef]
  2. Y. Takaki, “High-density directional display for generating natural three-dimensional images,” Proc. IEEE 94, 654-663(2006).
    [CrossRef]
  3. Y. Takaki and Y. Hayashi, “Increased horizontal viewing zone angle of a hologram by resolution redistribution of a SLM,” Appl. Opt. 47, D6-D11 (2008).
    [CrossRef] [PubMed]
  4. P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
    [CrossRef]
  5. K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).
  6. T. Mishina, F. Okano, and I. Yuyama, “Time-alternating method based on single-sideband holography with half-zone-plate processing for the enlargement of viewing zones,” Appl. Opt. 38, 3703-3713 (1999).
    [CrossRef]
  7. T. Mishina, M. Okui, and F. Okano, “Viewing-zone enlargement method for sampled hologram that uses high-order diffraction,” Appl. Opt. 41, 1489-1499 (2002).
    [CrossRef] [PubMed]
  8. O. Bryngdahl and A. Lohmann, “Single-sideband holography,” J. Opt. Soc. Am. 58, 620-624 (1968).
    [CrossRef]
  9. T. Takemori, “3-dimensional display using liquid crystal devices--fast computation of hologram--,” ITE Tech. Rep. 21 (No. 46) (Institute of Image Information and Television Engineers, 1997), pp. 13-19.

2008 (1)

2006 (1)

Y. Takaki, “High-density directional display for generating natural three-dimensional images,” Proc. IEEE 94, 654-663(2006).
[CrossRef]

2002 (1)

2000 (1)

Kajiki, H. Yoshikawa, and T. Honda, “Autostereoscopic 3-D video display using multiple light beams with scanning,” IEEE Trans. Circuits Syst. Video Technol. 10, 254-260(2000).
[CrossRef]

1999 (1)

1996 (1)

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

1990 (1)

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

1968 (1)

Benton, S. A.

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Bryngdahl, O.

Fukaya, N.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

Hayashi, Y.

Hilaire, P. St.

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Honda, T.

Kajiki, H. Yoshikawa, and T. Honda, “Autostereoscopic 3-D video display using multiple light beams with scanning,” IEEE Trans. Circuits Syst. Video Technol. 10, 254-260(2000).
[CrossRef]

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

Jepsen, M. L.

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Kajiki,

Kajiki, H. Yoshikawa, and T. Honda, “Autostereoscopic 3-D video display using multiple light beams with scanning,” IEEE Trans. Circuits Syst. Video Technol. 10, 254-260(2000).
[CrossRef]

Kollin, J.

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Lohmann, A.

Lucente, M.

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Maeno, K.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

Mishina, T.

Nishikawa, O.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

Okano, F.

Okui, M.

Sato, K.

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

Takaki, Y.

Y. Takaki and Y. Hayashi, “Increased horizontal viewing zone angle of a hologram by resolution redistribution of a SLM,” Appl. Opt. 47, D6-D11 (2008).
[CrossRef] [PubMed]

Y. Takaki, “High-density directional display for generating natural three-dimensional images,” Proc. IEEE 94, 654-663(2006).
[CrossRef]

Takemori, T.

T. Takemori, “3-dimensional display using liquid crystal devices--fast computation of hologram--,” ITE Tech. Rep. 21 (No. 46) (Institute of Image Information and Television Engineers, 1997), pp. 13-19.

Underkoffler, J.

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Yoshikawa, H.

Kajiki, H. Yoshikawa, and T. Honda, “Autostereoscopic 3-D video display using multiple light beams with scanning,” IEEE Trans. Circuits Syst. Video Technol. 10, 254-260(2000).
[CrossRef]

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Yuyama, I.

Appl. Opt. (3)

IEEE Trans. Circuits Syst. Video Technol. (1)

Kajiki, H. Yoshikawa, and T. Honda, “Autostereoscopic 3-D video display using multiple light beams with scanning,” IEEE Trans. Circuits Syst. Video Technol. 10, 254-260(2000).
[CrossRef]

J. Opt. Soc. Am. (1)

Proc. IEEE (1)

Y. Takaki, “High-density directional display for generating natural three-dimensional images,” Proc. IEEE 94, 654-663(2006).
[CrossRef]

Proc. SPIE (1)

P. St. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212, 174-182(1990).
[CrossRef]

Proc. SPIE-Int. Soc. Opt. Eng. (1)

K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE-Int. Soc. Opt. Eng. 2652, 15-23 (1996).

Other (1)

T. Takemori, “3-dimensional display using liquid crystal devices--fast computation of hologram--,” ITE Tech. Rep. 21 (No. 46) (Institute of Image Information and Television Engineers, 1997), pp. 13-19.

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Figures (14)

Fig. 1
Fig. 1

Resolution redistribution system.

Fig. 2
Fig. 2

Multiple Fourier-transformed images and a slit on the Fourier plane for the previous technique ( K = 4 .)

Fig. 3
Fig. 3

Previous calculation method to determine the positive real distribution displayed on a SLM ( K = 4 ).

Fig. 4
Fig. 4

New calculation method to determine the positive real distribution displayed on a SLM ( K = 4 ).

Fig. 5
Fig. 5

Arrangement of multiple Fourier-transformed images and a slit on the Fourier plane for eliminating the conjugate image.

Fig. 6
Fig. 6

New calculation method to determine the positive real distribution displayed on a SLM.

Fig. 7
Fig. 7

Another arrangement of multiple Fourier-transformed images and a slit on the Fourier plane for eliminating the conjugate image.

Fig. 8
Fig. 8

Experimental system.

Fig. 9
Fig. 9

Lens arrays used for synthesizing the Fourier- transformed image following the methods shown in (a) Fig. 5 and (b) Fig. 7.

Fig. 10
Fig. 10

Calculation of the hologram pattern used for the experiments, (a) hologram pattern, (b) Fourier transform of the hologram pattern, (c) synthesized Fourier-transformed image, and (d) distribution displayed on a SLM.

Fig. 11
Fig. 11

Photographs of reconstructed images captured from different horizontal viewpoints when the Fourier-transformed image is synthesized following Fig. 5.

Fig. 12
Fig. 12

Photographs of reconstructed images captured from different horizontal viewpoints when the Fourier-transformed image is synthesized following Fig. 7.

Fig. 13
Fig. 13

Photographs of reconstructed images captured from different horizontal viewpoints obtained by the previous resolution redistribution system.

Fig. 14
Fig. 14

Photographs of other reconstructed images without a conjugate image, (a) planet, (b) teapot, and (c) diamond.

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