Abstract

Programmable higher-order optical interconnections between two-dimensional arrays of neurons are achieved by using holographic lenslet arrays and spatial light modulators. Basic experimental results for two-dimensional quadratic associative memory are reported to demonstrate its feasibility.

© 1989 Optical Society of America

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References

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1989

1988

1987

1986

1985

Anderson, D. Z.

Brady, D.

Caulfield, H. J.

Dunning, G. J.

Farhat, N.

Fisher, A. D.

Hong, J.

D. Psaltis, C. H. Park, J. Hong, Neural Networks 1, 149 (1988).
[CrossRef]

Ishikawa, M.

Jang, J.-S.

Jung, S.-W.

Kwong, S.-K.

Lee, J. C.

Lee, S. S.

Lee, S.-Y.

Lippincott, W. L.

Marom, E.

Mukohzaka, N.

Owechko, Y.

Paek, E.

Park, C. H.

D. Psaltis, C. H. Park, J. Hong, Neural Networks 1, 149 (1988).
[CrossRef]

D. Psaltis, C. H. Park, AIP Conf. Proc. 151, 370 (1986).
[CrossRef]

Prata, A.

Psaltis, D.

D. Psaltis, D. Brady, K. Wagner, Appl. Opt. 27, 1752 (1988).
[CrossRef]

D. Psaltis, C. H. Park, J. Hong, Neural Networks 1, 149 (1988).
[CrossRef]

D. Psaltis, C. H. Park, AIP Conf. Proc. 151, 370 (1986).
[CrossRef]

N. Farhat, D. Psaltis, A. Prata, E. Paek, Appl. Opt. 24, 1469 (1985).
[CrossRef] [PubMed]

Shin, S.-Y.

Soffer, B. H.

Song, S. H.

Suzuki, Y.

Toyoda, H.

Wagner, K.

Yariv, A.

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Figures (4)

Fig. 1
Fig. 1

(a) HLA recording. (b) A 2 × 2 HLA for imaging. (c) The programmable fourth-rank tensor–matrix multiplier using an HLA and an SLM.

Fig. 2
Fig. 2

(a) Example of the coding rule for the sixth-rank tensor W ijklmn * into a 2-D SLM when N = 3. The value of each W ijklmn * is represented by the amount of light transmitted through each pixel of a 2-D SLM. (b) The fabricated film for Wijklmn.

Fig. 3
Fig. 3

Total QAM system setup.

Fig. 4
Fig. 4

Experimental results: photographs of output T ijkl t * in Part A and output V ˆ ij t * in Part B of Fig. 3. (a) Erroneous input matrix L, (b) erroneous input matrix T.

Equations (9)

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

C ij = k , l N T ijkl * A kl .
C ij = k , l N m , n N W ijklmn * A kl B mn ,
T ijkl * m , n N W ijklmn * B mn ,
C ij = k , l N T ijkl * A kl .
W ijklmn = s = 1 M ( 2 V ij s 1 ) ( 2 V kl s 1 ) ( 2 V mn s 1 ) ,
V ˆ ij t k , l N m , n N W ijklmn V kl t V mn t ,
T ijkl * m , n N W ijklmn * V mn t ,
V ˆ ij t * k , l N T ijkl t * V kl t .
L [ 1 0 0 1 0 0 1 1 1 ] , T [ 1 1 1 0 1 0 0 1 0 ] ,

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