Abstract

A noncollinear second-harmonic-generation-based 4 × 4 switchable computational array is experimentally demonstrated. Picosecond binary scalar and vector–matrix multiplication results are presented.

© 1989 Optical Society of America

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  1. M. Maier, W. Kaiser, J. A. Giordmaine, Phys. Rev. Lett. 17, 1275 (1966).
    [Crossref]
  2. R. N. Gyuzalian, S. B. Sogomonian, Z. G. Horvath, Opt. Commun. 29, 239 (1979).
    [Crossref]
  3. C. Kolmeder, W. Zinth, W. Kaiser, Opt. Commun. 30, 453 (1979).
    [Crossref]
  4. Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
    [Crossref]
  5. G. Eichmann, Y. Li, P. P. Ho, R. R. Alfano, Appl. Opt. 26, 2726 (1987).
    [Crossref] [PubMed]
  6. D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).
  7. P. S. Guilfoyle, Opt. Eng. 23, 20 (1984).
  8. R. P. Bocker, S. R. Clayton, K. Bromley, Appl. Opt. 22, 2019 (1983).
    [Crossref] [PubMed]
  9. R. A. Athale, J. N. Lee, Proc. IEEE 72, 931 (1984).
    [Crossref]
  10. Special issue on optical neural networks, Appl. Opt. 26(23) (1987).
    [PubMed]
  11. R. F. Belt, G. Gashurov, Y. S. Liu, Laser Focus 21, 110 (1985).
  12. S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
    [Crossref]
  13. I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
    [Crossref]

1987 (3)

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

Special issue on optical neural networks, Appl. Opt. 26(23) (1987).
[PubMed]

G. Eichmann, Y. Li, P. P. Ho, R. R. Alfano, Appl. Opt. 26, 2726 (1987).
[Crossref] [PubMed]

1986 (1)

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

1985 (1)

R. F. Belt, G. Gashurov, Y. S. Liu, Laser Focus 21, 110 (1985).

1984 (2)

R. A. Athale, J. N. Lee, Proc. IEEE 72, 931 (1984).
[Crossref]

P. S. Guilfoyle, Opt. Eng. 23, 20 (1984).

1983 (1)

1981 (1)

S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
[Crossref]

1980 (1)

D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

1979 (2)

R. N. Gyuzalian, S. B. Sogomonian, Z. G. Horvath, Opt. Commun. 29, 239 (1979).
[Crossref]

C. Kolmeder, W. Zinth, W. Kaiser, Opt. Commun. 30, 453 (1979).
[Crossref]

1966 (1)

M. Maier, W. Kaiser, J. A. Giordmaine, Phys. Rev. Lett. 17, 1275 (1966).
[Crossref]

Alfano, R. R.

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

G. Eichmann, Y. Li, P. P. Ho, R. R. Alfano, Appl. Opt. 26, 2726 (1987).
[Crossref] [PubMed]

Antonetti, A.

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Athale, R. A.

R. A. Athale, J. N. Lee, Proc. IEEE 72, 931 (1984).
[Crossref]

Belt, R. F.

R. F. Belt, G. Gashurov, Y. S. Liu, Laser Focus 21, 110 (1985).

Bocker, R. P.

Bromley, K.

Carlotto, M.

D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

Casasent, D.

D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

Clayton, S. R.

Eichmann, G.

G. Eichmann, Y. Li, P. P. Ho, R. R. Alfano, Appl. Opt. 26, 2726 (1987).
[Crossref] [PubMed]

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

Etchepare, J.

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Gashurov, G.

R. F. Belt, G. Gashurov, Y. S. Liu, Laser Focus 21, 110 (1985).

Giordmaine, J. A.

M. Maier, W. Kaiser, J. A. Giordmaine, Phys. Rev. Lett. 17, 1275 (1966).
[Crossref]

Grillon, G.

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Guilfoyle, P. S.

P. S. Guilfoyle, Opt. Eng. 23, 20 (1984).

Gyuzalian, R. N.

R. N. Gyuzalian, S. B. Sogomonian, Z. G. Horvath, Opt. Commun. 29, 239 (1979).
[Crossref]

Ho, P. P.

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

G. Eichmann, Y. Li, P. P. Ho, R. R. Alfano, Appl. Opt. 26, 2726 (1987).
[Crossref] [PubMed]

Horvath, Z. G.

R. N. Gyuzalian, S. B. Sogomonian, Z. G. Horvath, Opt. Commun. 29, 239 (1979).
[Crossref]

Kaiser, W.

C. Kolmeder, W. Zinth, W. Kaiser, Opt. Commun. 30, 453 (1979).
[Crossref]

M. Maier, W. Kaiser, J. A. Giordmaine, Phys. Rev. Lett. 17, 1275 (1966).
[Crossref]

Kolmeder, C.

C. Kolmeder, W. Zinth, W. Kaiser, Opt. Commun. 30, 453 (1979).
[Crossref]

Ledoux, I.

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Lee, J. N.

R. A. Athale, J. N. Lee, Proc. IEEE 72, 931 (1984).
[Crossref]

Li, Y.

G. Eichmann, Y. Li, P. P. Ho, R. R. Alfano, Appl. Opt. 26, 2726 (1987).
[Crossref] [PubMed]

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

Liu, Y. S.

R. F. Belt, G. Gashurov, Y. S. Liu, Laser Focus 21, 110 (1985).

Luo, X.

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

Maier, M.

M. Maier, W. Kaiser, J. A. Giordmaine, Phys. Rev. Lett. 17, 1275 (1966).
[Crossref]

Migus, A.

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Neft, N.

D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

Psaltis, D.

D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

Saltiel, S. M.

S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
[Crossref]

Savov, S. D.

S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
[Crossref]

Sogomonian, S. B.

R. N. Gyuzalian, S. B. Sogomonian, Z. G. Horvath, Opt. Commun. 29, 239 (1979).
[Crossref]

Telegin, L. S.

S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
[Crossref]

Tomov, I. V.

S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
[Crossref]

Zinth, W.

C. Kolmeder, W. Zinth, W. Kaiser, Opt. Commun. 30, 453 (1979).
[Crossref]

Zyss, J.

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Appl. Opt. (3)

Appl. Phys. Lett (1)

I. Ledoux, J. Zyss, A. Migus, J. Etchepare, G. Grillon, A. Antonetti, Appl. Phys. Lett 48, 1564 (1986).
[Crossref]

Laser Focus (1)

R. F. Belt, G. Gashurov, Y. S. Liu, Laser Focus 21, 110 (1985).

Opt. Commun. (4)

S. M. Saltiel, S. D. Savov, I. V. Tomov, L. S. Telegin, Opt. Commun. 38, 443 (1981).
[Crossref]

R. N. Gyuzalian, S. B. Sogomonian, Z. G. Horvath, Opt. Commun. 29, 239 (1979).
[Crossref]

C. Kolmeder, W. Zinth, W. Kaiser, Opt. Commun. 30, 453 (1979).
[Crossref]

Y. Li, G. Eichmann, X. Luo, P. P. Ho, R. R. Alfano, Opt. Commun. 64, 322 (1987).
[Crossref]

Opt. Eng. (1)

P. S. Guilfoyle, Opt. Eng. 23, 20 (1984).

Phys. Rev. Lett. (1)

M. Maier, W. Kaiser, J. A. Giordmaine, Phys. Rev. Lett. 17, 1275 (1966).
[Crossref]

Proc. IEEE (1)

R. A. Athale, J. N. Lee, Proc. IEEE 72, 931 (1984).
[Crossref]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

D. Psaltis, D. Casasent, N. Neft, M. Carlotto, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

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Figures (3)

Fig. 1
Fig. 1

Schematic of the picosecond NSHG experimental setup.

Fig. 2
Fig. 2

Experimental result of a NSHG-based four-bit DMAC processor. (a) Spatial encoding of two input numbers A = 1111 and B = 0111; (b) the NSHG intensity multiplication result of A and B; (c) the one-dimensional cylindrical-lens-based intensity space integration (along a 45° direction) result of (b), i.e., C = 123321, which corresponds to decimal 105.

Fig. 3
Fig. 3

Experimental result of a NSHG-based matrix–vector multiplication. The input matrix and vector are specified in Eq. (2). The matrix (vector) is encoded into a dot (vertical slit) array. (a) The NSHG intensity multiplication result of the two arrays, (b) the cylindrical-lens-based horizontal channel space integration result representing the matrix–vector product.

Equations (2)

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τ = γ D n sin α c ,
[ 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 ] [ 1 0 1 0 ] = [ 1 1 1 2 ] .

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