Abstract

We describe an all-optical associative memory system that uses a holographic data base. Phase-conjugate mirrors are used to provide optical feedback, thresholding, and gain. Analysis and preliminary experiments are discussed.

© 1986 Optical Society of America

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References

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  1. For a review of the subject see T. Kohonen, Self Organization and Associative Memory (Springer-Verlag, New York, 1984).
  2. H. C. Longuet-Higgins, Nature 217, 104 (1968).
    [CrossRef]
  3. D. Gabor, IBM J. Res. Devel. 13, 156 (1969).
    [CrossRef]
  4. D. Psaltis, N. Farhat, in ICO-13 Conference Digest (International Commission for Optics, Amsterdam, 1984), paper A1–9.
  5. A. D. Fisher, C. L. Giles, in Proceedings of the IEEE 1985 Compcon Spring (Institute of Electrical and Electronics Engineers, New York, 1985), p. 342.
  6. G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).
  7. H. J. Caulfield, Opt. Commun. 55, 80 (1985).
    [CrossRef]
  8. R. J. Collier, K. S. Pennington, Appl. Phys. Lett. 8, 44 (1966).
    [CrossRef]
  9. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982).
    [CrossRef] [PubMed]
  10. J. Feinberg, Opt. Lett. 5, 330 (1980).
    [CrossRef] [PubMed]

1985 (2)

G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).

H. J. Caulfield, Opt. Commun. 55, 80 (1985).
[CrossRef]

1982 (1)

J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982).
[CrossRef] [PubMed]

1980 (1)

1969 (1)

D. Gabor, IBM J. Res. Devel. 13, 156 (1969).
[CrossRef]

1968 (1)

H. C. Longuet-Higgins, Nature 217, 104 (1968).
[CrossRef]

1966 (1)

R. J. Collier, K. S. Pennington, Appl. Phys. Lett. 8, 44 (1966).
[CrossRef]

Caulfield, H. J.

H. J. Caulfield, Opt. Commun. 55, 80 (1985).
[CrossRef]

Collier, R. J.

R. J. Collier, K. S. Pennington, Appl. Phys. Lett. 8, 44 (1966).
[CrossRef]

Dunning, G. J.

G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).

Farhat, N.

D. Psaltis, N. Farhat, in ICO-13 Conference Digest (International Commission for Optics, Amsterdam, 1984), paper A1–9.

Feinberg, J.

Fisher, A. D.

A. D. Fisher, C. L. Giles, in Proceedings of the IEEE 1985 Compcon Spring (Institute of Electrical and Electronics Engineers, New York, 1985), p. 342.

Gabor, D.

D. Gabor, IBM J. Res. Devel. 13, 156 (1969).
[CrossRef]

Giles, C. L.

A. D. Fisher, C. L. Giles, in Proceedings of the IEEE 1985 Compcon Spring (Institute of Electrical and Electronics Engineers, New York, 1985), p. 342.

Hopfield, J. J.

J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982).
[CrossRef] [PubMed]

Kohonen, T.

For a review of the subject see T. Kohonen, Self Organization and Associative Memory (Springer-Verlag, New York, 1984).

Longuet-Higgins, H. C.

H. C. Longuet-Higgins, Nature 217, 104 (1968).
[CrossRef]

Marom, E.

G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).

Owechko, Y.

G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).

Pennington, K. S.

R. J. Collier, K. S. Pennington, Appl. Phys. Lett. 8, 44 (1966).
[CrossRef]

Psaltis, D.

D. Psaltis, N. Farhat, in ICO-13 Conference Digest (International Commission for Optics, Amsterdam, 1984), paper A1–9.

Soffer, B. H.

G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).

Appl. Phys. Lett. (1)

R. J. Collier, K. S. Pennington, Appl. Phys. Lett. 8, 44 (1966).
[CrossRef]

IBM J. Res. Devel. (1)

D. Gabor, IBM J. Res. Devel. 13, 156 (1969).
[CrossRef]

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

G. J. Dunning, E. Marom, Y. Owechko, B. H. Soffer, J. Opt. Soc. Am. A 2(13), P48 (1985).

Nature (1)

H. C. Longuet-Higgins, Nature 217, 104 (1968).
[CrossRef]

Opt. Commun. (1)

H. J. Caulfield, Opt. Commun. 55, 80 (1985).
[CrossRef]

Opt. Lett. (1)

Proc. Natl. Acad. Sci. USA (1)

J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982).
[CrossRef] [PubMed]

Other (3)

For a review of the subject see T. Kohonen, Self Organization and Associative Memory (Springer-Verlag, New York, 1984).

D. Psaltis, N. Farhat, in ICO-13 Conference Digest (International Commission for Optics, Amsterdam, 1984), paper A1–9.

A. D. Fisher, C. L. Giles, in Proceedings of the IEEE 1985 Compcon Spring (Institute of Electrical and Electronics Engineers, New York, 1985), p. 342.

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Figures (4)

Fig. 1
Fig. 1

Implementation of an associative holographic memory using PCM’s.

Fig. 2
Fig. 2

Schematic of experiment that demonstrated the complete object image reconstruction from a partial input image.

Fig. 3
Fig. 3

Experimental results: A, image stored in memory; B, incomplete input image; C, associated output image (reflected by a mirror).

Fig. 4
Fig. 4

Schematic of experiment that demonstrated operation of a phase-conjugate resonator with multiple intra-cavity holographic gratings.

Equations (2)

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A ^ A + B 2 = A ^ ( A 2 + B 2 ) + A ^ A B ¯ + A ^ A ¯ B ,
A ^ A ¯ B A + B 2 = A ^ A ¯ B ( A 2 + B 2 ) + A ^ A ¯ B A B ¯ + A ^ A ¯ B A ¯ B = A ^ A ¯ B ( A 2 + B 2 ) + ( A ^ A ¯ ) B 2 A _ + A ^ A ¯ 2 B 2 .

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