Abstract

A range of space-invariant and space-variant holographic optical interconnections are demonstrated with the aid of a nematic liquid-crystal panel that is capable of nearly continuous phase modulation. Results on fan-out, nearest-neighbor/next-nearest-neighbor interconnects, and 8-bit perfect shuffle are presented. The diffraction efficiencies are close to 15% of incident light in all cases.

© 1992 Optical Society of America

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  1. A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.
  2. M. E. Prise, N. C. Craft, R. E. LaMarche, M. M. Downs, S. J. Walker, L. A. D’Asaro, L. M. F. Chirowsky, “Module for optical logic circuits using symmetric self-electro-optic effect device,” Appl. Opt. 29, 2164–2170 (1990).
    [CrossRef] [PubMed]
  3. M. J. B. Duff, T. J. Fountain, Cellular Logic Image Processing (Academic, New York, 1986).
  4. M. J. Murdocca, A Digital Design Methodology for Optical Computing (MIT, Cambridge Mass., 1990).
  5. M. Murdocca, V. Gupta, M. Majidi, “Logic and interconnects in optical computing,” Photogr. Spectra 24, 129–134 (1990).
  6. H. J. Stone, “Parallel processing with the perfect shuffle,” IEEE Trans. Comput. C-20, 153–161 (1971).
    [CrossRef]
  7. G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
    [CrossRef]
  8. D. N. Anderson, D. M. Lininger, “Dynamic optical interconnects: voluem holograms as optical two-port operators,” Appl. Opt. 26, 5031–5038 (1987).
    [CrossRef] [PubMed]
  9. E. Marom, N. Konforti, “Dynamic optical interconnections,” Opt. Lett. 12, 539–541 (1987).
    [CrossRef] [PubMed]
  10. J. A. Davis, S. W. Connely, G. W. Bach, R. A. Lilly, D. M. Cottrell, “Programmable optical interconnections with large fan-out capability using the magneto-optic spatial light modulator,” Opt. Lett. 14, 102–104 (1989).
    [CrossRef] [PubMed]
  11. E. S. Maniloff, K. M. Johnson, “Dynamic holographic interconnects using static holograms,” Opt. Eng. 29, 225–229 (1990).
    [CrossRef]
  12. A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
    [CrossRef]
  13. L. Pugliese, G. M. Morris, “Computer-generated holography in photorefractive material,” Opt. Lett. 15, 338–340 (1990).
    [CrossRef] [PubMed]
  14. B. Fracasso, J. L. de Bougrenet de la Tocnaye, P. Ambs, “Recording reconfignrable binary computer-generated holograms on bistable optically addressed ferroelectric liquid-crystal spatial light modulators,” Opt. Lett. 15, 1473–1475 (1990).
    [CrossRef] [PubMed]
  15. E. Tervonen, J. Turunen, A. T. Friberg, “Synthetic acousto-optic holograms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. Weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1319, 288–289 (1990).
  16. E. Tervonen, A. T. Friberg, J. Westerholm, J. Turunen, M. R. Taghizadeh, “Programmable optical interconnections by multilevel synthetic acousto-optic holograms,” Opt. Lett. 16, 1274–1276 (1991).
    [CrossRef] [PubMed]
  17. T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).
  18. D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).
  19. T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
    [CrossRef]
  20. S. Morozumi, K. Oguchi, H. Oshima, “Latest developments in liquid crystal television spatial light modulator,” Opt. Lett. 10, 635–637 (1985).
  21. S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).
  22. H. K. Liu, J. A. Davis, R. A. Lilly, “Optical-data-processing properties of a liquid crystal television spatial light modulator,” Opt. Lett. 10, 635–637 (1985).
    [CrossRef] [PubMed]
  23. L. P. Lesem, P. M. Hirch, J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
    [CrossRef]
  24. A. W. Lohmann, D. P. Paris, “Binary Fraunhofer holograms, generated by computer,” Appl. Opt. 6, 1739–1748 (1967).
    [CrossRef] [PubMed]
  25. H. Dammann, K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971).
    [CrossRef]
  26. U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
    [CrossRef]
  27. N. Streibl, “Beam shaping with optical array generators,” J. Mod. Opt. 36, 1559–1573 (1989).
    [CrossRef]
  28. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Optical cellular logic architectures based on binary image algebra,” in Proceedings of the IEEE Computer Society’s Workship on Computer Architecture for Pattern Analysis and Machine Intelligence, (Institute of Electrical and Electronics Engineers, New York, 1987), pp. 19–26.
  29. J. Turunen, A. Vasara, J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989).
  30. A. Varsara, J. Turunen, J. Westerholm, M. R. Taghizadeh, “Stepped-phase kinoforms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.,1319, 298–299 (1990).
  31. F. Wyrowski, “Characteristics of diffractive optical elements/digital holograms,” in Computer and Optically Formed Holographic Optics, I. Cindrich, S. H. Lee, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1211, 2–10 (1990).

1991

1990

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

M. E. Prise, N. C. Craft, R. E. LaMarche, M. M. Downs, S. J. Walker, L. A. D’Asaro, L. M. F. Chirowsky, “Module for optical logic circuits using symmetric self-electro-optic effect device,” Appl. Opt. 29, 2164–2170 (1990).
[CrossRef] [PubMed]

M. Murdocca, V. Gupta, M. Majidi, “Logic and interconnects in optical computing,” Photogr. Spectra 24, 129–134 (1990).

E. S. Maniloff, K. M. Johnson, “Dynamic holographic interconnects using static holograms,” Opt. Eng. 29, 225–229 (1990).
[CrossRef]

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
[CrossRef]

L. Pugliese, G. M. Morris, “Computer-generated holography in photorefractive material,” Opt. Lett. 15, 338–340 (1990).
[CrossRef] [PubMed]

B. Fracasso, J. L. de Bougrenet de la Tocnaye, P. Ambs, “Recording reconfignrable binary computer-generated holograms on bistable optically addressed ferroelectric liquid-crystal spatial light modulators,” Opt. Lett. 15, 1473–1475 (1990).
[CrossRef] [PubMed]

1989

J. A. Davis, S. W. Connely, G. W. Bach, R. A. Lilly, D. M. Cottrell, “Programmable optical interconnections with large fan-out capability using the magneto-optic spatial light modulator,” Opt. Lett. 14, 102–104 (1989).
[CrossRef] [PubMed]

N. Streibl, “Beam shaping with optical array generators,” J. Mod. Opt. 36, 1559–1573 (1989).
[CrossRef]

J. Turunen, A. Vasara, J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989).

1987

1986

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

1985

1982

U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
[CrossRef]

1971

H. Dammann, K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971).
[CrossRef]

H. J. Stone, “Parallel processing with the perfect shuffle,” IEEE Trans. Comput. C-20, 153–161 (1971).
[CrossRef]

1969

L. P. Lesem, P. M. Hirch, J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[CrossRef]

1967

Ambs, P.

Anderson, D. N.

Bach, G. W.

Barnes, T. H.

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).

Buller, G. S.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Chirowsky, L. M. F.

Connely, S. W.

Cottrell, D. M.

Craft, N. C.

Craig, R. G. A.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

D’Asaro, L. A.

Dammann, H.

H. Dammann, K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971).
[CrossRef]

Davis, J. A.

de Bougrenet de la Tocnaye, J. L.

Delboulbe, A.

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

Downs, M. M.

Duff, M. J. B.

M. J. B. Duff, T. J. Fountain, Cellular Logic Image Processing (Academic, New York, 1986).

Eiju, T.

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).

Fountain, T. J.

M. J. B. Duff, T. J. Fountain, Cellular Logic Image Processing (Academic, New York, 1986).

Fracasso, B.

Friberg, A. T.

E. Tervonen, A. T. Friberg, J. Westerholm, J. Turunen, M. R. Taghizadeh, “Programmable optical interconnections by multilevel synthetic acousto-optic holograms,” Opt. Lett. 16, 1274–1276 (1991).
[CrossRef] [PubMed]

E. Tervonen, J. Turunen, A. T. Friberg, “Synthetic acousto-optic holograms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. Weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1319, 288–289 (1990).

Görtler, K.

H. Dammann, K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971).
[CrossRef]

Gupta, V.

M. Murdocca, V. Gupta, M. Majidi, “Logic and interconnects in optical computing,” Photogr. Spectra 24, 129–134 (1990).

Habiby, S. F.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
[CrossRef]

Hamamoto, E.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Herriau, J. P.

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

Hirch, P. M.

L. P. Lesem, P. M. Hirch, J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[CrossRef]

Huang, K. S.

K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Optical cellular logic architectures based on binary image algebra,” in Proceedings of the IEEE Computer Society’s Workship on Computer Architecture for Pattern Analysis and Machine Intelligence, (Institute of Electrical and Electronics Engineers, New York, 1987), pp. 19–26.

Hubbard, W. M.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
[CrossRef]

Huignard, J. P.

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

Jenkins, B. K.

K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Optical cellular logic architectures based on binary image algebra,” in Proceedings of the IEEE Computer Society’s Workship on Computer Architecture for Pattern Analysis and Machine Intelligence, (Institute of Electrical and Electronics Engineers, New York, 1987), pp. 19–26.

Johnson, F.

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

Johnson, K. M.

E. S. Maniloff, K. M. Johnson, “Dynamic holographic interconnects using static holograms,” Opt. Eng. 29, 225–229 (1990).
[CrossRef]

Jordan, J. A.

L. P. Lesem, P. M. Hirch, J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[CrossRef]

Killat, U.

U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
[CrossRef]

Konforti, N.

LaMarche, R. E.

Lesem, L. P.

L. P. Lesem, P. M. Hirch, J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[CrossRef]

Lilly, R. A.

Lininger, D. M.

Liu, H. K.

Lohmann, A. W.

MacKinnon, G.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Majidi, M.

M. Murdocca, V. Gupta, M. Majidi, “Logic and interconnects in optical computing,” Photogr. Spectra 24, 129–134 (1990).

Maniloff, E. S.

E. S. Maniloff, K. M. Johnson, “Dynamic holographic interconnects using static holograms,” Opt. Eng. 29, 225–229 (1990).
[CrossRef]

Marom, E.

Marrakchi, A.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
[CrossRef]

Matsuda, K.

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).

Matsumoto, K.

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).

McArdle, N.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

McKnight, D. J.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Meredith, P.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Miller, J. M.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Morozumi, S.

Morris, G. M.

Murdocca, M.

M. Murdocca, V. Gupta, M. Majidi, “Logic and interconnects in optical computing,” Photogr. Spectra 24, 129–134 (1990).

Murdocca, M. J.

M. J. Murdocca, A Digital Design Methodology for Optical Computing (MIT, Cambridge Mass., 1990).

Oguchi, K.

Ooyama, N.

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).

Oshima, H.

Paris, D. P.

Patel, J. S.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
[CrossRef]

Pauliat, G.

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

Prise, M. E.

Pugliese, L.

Rabe, G.

U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
[CrossRef]

Rabe, W.

U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
[CrossRef]

Rave, W.

U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
[CrossRef]

Redmond, I. R.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Restall, E. J.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Roosen, G.

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

Sawchuk, A. A.

K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Optical cellular logic architectures based on binary image algebra,” in Proceedings of the IEEE Computer Society’s Workship on Computer Architecture for Pattern Analysis and Machine Intelligence, (Institute of Electrical and Electronics Engineers, New York, 1987), pp. 19–26.

Sekiguchi, K.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Shimizu, H.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Smith, S. D.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Snowdon, J. F.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Sorimachi, K.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Stone, H. J.

H. J. Stone, “Parallel processing with the perfect shuffle,” IEEE Trans. Comput. C-20, 153–161 (1971).
[CrossRef]

Streibl, N.

N. Streibl, “Beam shaping with optical array generators,” J. Mod. Opt. 36, 1559–1573 (1989).
[CrossRef]

Taghizadeh, M. R.

E. Tervonen, A. T. Friberg, J. Westerholm, J. Turunen, M. R. Taghizadeh, “Programmable optical interconnections by multilevel synthetic acousto-optic holograms,” Opt. Lett. 16, 1274–1276 (1991).
[CrossRef] [PubMed]

A. Varsara, J. Turunen, J. Westerholm, M. R. Taghizadeh, “Stepped-phase kinoforms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.,1319, 298–299 (1990).

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Tajima, E.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Tanabe, H.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Tervonen, E.

E. Tervonen, A. T. Friberg, J. Westerholm, J. Turunen, M. R. Taghizadeh, “Programmable optical interconnections by multilevel synthetic acousto-optic holograms,” Opt. Lett. 16, 1274–1276 (1991).
[CrossRef] [PubMed]

E. Tervonen, J. Turunen, A. T. Friberg, “Synthetic acousto-optic holograms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. Weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1319, 288–289 (1990).

Togashi, S.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Turunen, J.

E. Tervonen, A. T. Friberg, J. Westerholm, J. Turunen, M. R. Taghizadeh, “Programmable optical interconnections by multilevel synthetic acousto-optic holograms,” Opt. Lett. 16, 1274–1276 (1991).
[CrossRef] [PubMed]

J. Turunen, A. Vasara, J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989).

A. Varsara, J. Turunen, J. Westerholm, M. R. Taghizadeh, “Stepped-phase kinoforms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.,1319, 298–299 (1990).

E. Tervonen, J. Turunen, A. T. Friberg, “Synthetic acousto-optic holograms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. Weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1319, 288–289 (1990).

Varsara, A.

A. Varsara, J. Turunen, J. Westerholm, M. R. Taghizadeh, “Stepped-phase kinoforms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.,1319, 298–299 (1990).

Vasara, A.

J. Turunen, A. Vasara, J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989).

Wakelin, S.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Walker, A. C.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Walker, S. J.

Watanabe, H.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Westerholm, J.

E. Tervonen, A. T. Friberg, J. Westerholm, J. Turunen, M. R. Taghizadeh, “Programmable optical interconnections by multilevel synthetic acousto-optic holograms,” Opt. Lett. 16, 1274–1276 (1991).
[CrossRef] [PubMed]

J. Turunen, A. Vasara, J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989).

A. Varsara, J. Turunen, J. Westerholm, M. R. Taghizadeh, “Stepped-phase kinoforms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.,1319, 298–299 (1990).

Wherrett, B. S.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Wilson, R. A.

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

Wyrowski, F.

F. Wyrowski, “Characteristics of diffractive optical elements/digital holograms,” in Computer and Optically Formed Holographic Optics, I. Cindrich, S. H. Lee, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1211, 2–10 (1990).

Yocky, D. A.

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

Appl. Opt.

Fiber Integr. Opt.

U. Killat, G. Rabe, W. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982).
[CrossRef]

IBM J. Res. Dev.

L. P. Lesem, P. M. Hirch, J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[CrossRef]

IEEE Trans. Comput.

H. J. Stone, “Parallel processing with the perfect shuffle,” IEEE Trans. Comput. C-20, 153–161 (1971).
[CrossRef]

J. Mod. Opt.

N. Streibl, “Beam shaping with optical array generators,” J. Mod. Opt. 36, 1559–1573 (1989).
[CrossRef]

J. Opt. Soc. Am. B

G. Pauliat, J. P. Herriau, A. Delboulbe, G. Roosen, J. P. Huignard, “Dynamic beam deflection using photorefractive gratings in Bi12SiO20 crystals,” J. Opt. Soc. Am. B 2, 306–314 (1986).
[CrossRef]

Jpn. J. Appl. Phys.

T. H. Barnes, K. Matsuda, T. Eiju, K. Matsumoto, F. Johnson, “Joint transform correlator using a phase only spatial light modulator,” Jpn. J. Appl. Phys. 29, L1293–L1296 (1990).
[CrossRef]

Opt. Commun.

H. Dammann, K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971).
[CrossRef]

Opt. Eng.

J. Turunen, A. Vasara, J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989).

E. S. Maniloff, K. M. Johnson, “Dynamic holographic interconnects using static holograms,” Opt. Eng. 29, 225–229 (1990).
[CrossRef]

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. S. Patel, “Dynamic holographic interconnects with analog weights in photorefractive crystals,” Opt. Eng. 29, 215–224 (1990).
[CrossRef]

Opt. Lett.

Optik

D. A. Yocky, T. H. Barnes, K. Matsumoto, N. Ooyama, K. Matsuda, “Simple measurement of the phase modulation capability of liquid crystal phase only spatial light modulators,” Optik 84, 140–144 (1990).

Photogr. Spectra

M. Murdocca, V. Gupta, M. Majidi, “Logic and interconnects in optical computing,” Photogr. Spectra 24, 129–134 (1990).

Proc. Soc. Inf. Disp.

S. Togashi, K. Sekiguchi, H. Tanabe, E. Hamamoto, K. Sorimachi, E. Tajima, H. Watanabe, H. Shimizu, “An LC-TV display controlled by A-Si diode rings,” Proc. Soc. Inf. Disp. 26, 9–15 (1985).

Other

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, “Phase only liquid crystal light modulator and its application in the Fourier plane of optical correlation systems,” in Optical Pattern Recognition III, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 204–208 (1989).

E. Tervonen, J. Turunen, A. T. Friberg, “Synthetic acousto-optic holograms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. Weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1319, 288–289 (1990).

A. C. Walker, R. G. A. Craig, D. J. McKnight, I. R. Redmond, J. F. Snowdon, G. S. Buller, E. J. Restall, R. A. Wilson, S. Wakelin, N. McArdle, P. Meredith, J. M. Miller, G. MacKinnon, M. R. Taghizadeh, S. D. Smith, B. S. Wherrett, “Design and construction of a programmable optical 16 × 16 array processor,” in Optical Computing, Vol. 6 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 199–202.

M. J. B. Duff, T. J. Fountain, Cellular Logic Image Processing (Academic, New York, 1986).

M. J. Murdocca, A Digital Design Methodology for Optical Computing (MIT, Cambridge Mass., 1990).

A. Varsara, J. Turunen, J. Westerholm, M. R. Taghizadeh, “Stepped-phase kinoforms,” in Optics in Complex Systems, F. Lanzl, H.-J. Preuss, J. weigelt, eds., Proc. Soc. Photo-Opt. Instrum. Eng.,1319, 298–299 (1990).

F. Wyrowski, “Characteristics of diffractive optical elements/digital holograms,” in Computer and Optically Formed Holographic Optics, I. Cindrich, S. H. Lee, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1211, 2–10 (1990).

K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Optical cellular logic architectures based on binary image algebra,” in Proceedings of the IEEE Computer Society’s Workship on Computer Architecture for Pattern Analysis and Machine Intelligence, (Institute of Electrical and Electronics Engineers, New York, 1987), pp. 19–26.

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Figures (12)

Fig. 1
Fig. 1

(a) Phase-modulating panel, (b) Transmission through an individual panel pixel: the shaded area modulates the phase of the incident field, the black regions are opaque, and the white regions are transparent with no phase-modulation capability.

Fig. 2
Fig. 2

(a) Solid curve indicates the optimized profile of an 8-beam fan-out hologram with L = 128 cells/period. The dotted curve indicates the profile actually recorded on the panel as a result of mismatch between Nexus and panel pixels, (b) simulated beam array in the presence of mismatch.

Fig. 3
Fig. 3

Operation of a 1D 8-bit perfect shuffle. The size of a single facet is denoted by h and the basic deflection angle by θ.

Fig. 4
Fig. 4

Optical system used in the experiments. LC, liquid crystal.

Fig. 5
Fig. 5

(a) Phase pattern written on the panel for an 8 × 4 space-invariant interconnect (the horizontal displacement visible in the picture was introduced to correct a patterning error in the panel), (b) output array from the 8 × 4 fan-out grating.

Fig. 6
Fig. 6

(a) Contour map of the output intensity distribution from the 8 × 4 space-invariant interconnect, (b) the intensity distributions along the four horizontal rows.

Fig. 7
Fig. 7

(a) Nearest neighbors and (b) the next-nearest neighbors of a logic element. Structure of one period of (c) a binary nearest-neighbor and (d) a binary next-nearest-neighbor interconnects.

Fig. 8
Fig. 8

Output arrays from (a) nearest-neighbor and (b) next-nearest-neighbor interconnects.

Fig. 9
Fig. 9

Contour plots of the output intensity distributions obtained with (a) nearest-neighbor and (b) next-nearest-neighbor interconnects.

Fig. 10
Fig. 10

Phase pattern used to produce the 8-bit perfect shuffle.

Fig. 11
Fig. 11

Output signals from the perfect shuffle interconnect (on top of each picture), and an illustration of the selection process in the panel plane.

Fig. 12
Fig. 12

Cross-sectional perfect-shuffle intensity distributions in the output plane (solid curves) and in the panel plane (dashed curves).

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