Abstract

Fast parallel analog and digital optical computing operations are demonstrated by using an interferometric arrangement with photorefractive bismuth silicon oxide. Image subtraction, coherent weighted-image addition, exclusive OR/NOT, and OR optical gates are achieved by controlling the relative phase shifts of two phase-conjugate waves generated by degenerate four-wave mixing.

© 1988 Optical Society of America

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References

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  1. P. Gunter, Phys. Rep. 93, 199 (1982).
    [CrossRef]
  2. J. P. Huignard, J. P. Herriau, F. Micheron, Appl. Phys. Lett. 26, 256 (1975).
    [CrossRef]
  3. Y. H. Ja, Opt. Commun. 42, 377 (1982).
    [CrossRef]
  4. S.-K. Kwong, G. A. Rakuljic, A. Yariv, Appl. Phys. Lett. 48, 201 (1985).
    [CrossRef]
  5. A. E. Chiou, P. Yeh, Opt. Lett. 11, 306 (1986).
    [CrossRef] [PubMed]
  6. S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, J. Opt. Soc. Am. A 3, 157 (1986).
    [CrossRef]
  7. I. McMichael, P. Yeh, Opt. Lett. 12, 48 (1987).
    [CrossRef] [PubMed]
  8. N. A. Vainos, R. W. Eason, Opt. Commun. 62, 311 (1987).
    [CrossRef]

1987 (2)

N. A. Vainos, R. W. Eason, Opt. Commun. 62, 311 (1987).
[CrossRef]

I. McMichael, P. Yeh, Opt. Lett. 12, 48 (1987).
[CrossRef] [PubMed]

1986 (2)

1985 (1)

S.-K. Kwong, G. A. Rakuljic, A. Yariv, Appl. Phys. Lett. 48, 201 (1985).
[CrossRef]

1982 (2)

Y. H. Ja, Opt. Commun. 42, 377 (1982).
[CrossRef]

P. Gunter, Phys. Rep. 93, 199 (1982).
[CrossRef]

1975 (1)

J. P. Huignard, J. P. Herriau, F. Micheron, Appl. Phys. Lett. 26, 256 (1975).
[CrossRef]

Chiou, A. E.

Cronin-Golomb, M.

Eason, R. W.

N. A. Vainos, R. W. Eason, Opt. Commun. 62, 311 (1987).
[CrossRef]

Fischer, B.

Gunter, P.

P. Gunter, Phys. Rep. 93, 199 (1982).
[CrossRef]

Herriau, J. P.

J. P. Huignard, J. P. Herriau, F. Micheron, Appl. Phys. Lett. 26, 256 (1975).
[CrossRef]

Huignard, J. P.

J. P. Huignard, J. P. Herriau, F. Micheron, Appl. Phys. Lett. 26, 256 (1975).
[CrossRef]

Ja, Y. H.

Y. H. Ja, Opt. Commun. 42, 377 (1982).
[CrossRef]

Kwong, S.-K.

S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, J. Opt. Soc. Am. A 3, 157 (1986).
[CrossRef]

S.-K. Kwong, G. A. Rakuljic, A. Yariv, Appl. Phys. Lett. 48, 201 (1985).
[CrossRef]

McMichael, I.

Micheron, F.

J. P. Huignard, J. P. Herriau, F. Micheron, Appl. Phys. Lett. 26, 256 (1975).
[CrossRef]

Rakuljic, G. A.

S.-K. Kwong, G. A. Rakuljic, A. Yariv, Appl. Phys. Lett. 48, 201 (1985).
[CrossRef]

Vainos, N. A.

N. A. Vainos, R. W. Eason, Opt. Commun. 62, 311 (1987).
[CrossRef]

Yariv, A.

S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, J. Opt. Soc. Am. A 3, 157 (1986).
[CrossRef]

S.-K. Kwong, G. A. Rakuljic, A. Yariv, Appl. Phys. Lett. 48, 201 (1985).
[CrossRef]

Yeh, P.

Appl. Phys. Lett. (2)

J. P. Huignard, J. P. Herriau, F. Micheron, Appl. Phys. Lett. 26, 256 (1975).
[CrossRef]

S.-K. Kwong, G. A. Rakuljic, A. Yariv, Appl. Phys. Lett. 48, 201 (1985).
[CrossRef]

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

Opt. Commun. (2)

N. A. Vainos, R. W. Eason, Opt. Commun. 62, 311 (1987).
[CrossRef]

Y. H. Ja, Opt. Commun. 42, 377 (1982).
[CrossRef]

Opt. Lett. (2)

Phys. Rep. (1)

P. Gunter, Phys. Rep. 93, 199 (1982).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Schematic of the experimental arrangement used. The input transparencies are placed at positions P and Q and are relayed by lens L1 into the crystal. Both beam splitters (BS1, BS2) are metal–dielectric coated and hence lossy. L1 and L2, f = 175-mm lenses; CCTV, the TV camera. No voltage is applied on the BSO crystal.

Fig. 2
Fig. 2

Examples of computing operations performed by the present system. A, B, C, and D are the phase-conjugates of the input transparencies, which can be considered two-dimensional binary matrices. The minimum dimension of actual features in A, B, and D is 30 μm, and in C it is 40 μm. Coherent addition operations (A + B)2 and (B + C)2 are shown in the second column. In the third column, the exclusive OR operations A XOR B and B XOR C are shown. In the last row, the negation (NOT) of D is shown, while in the last column the OR operation A OR B appears.

Equations (1)

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I OUT P 2 + Q 2 + 2 P Q cos Δ ϕ , Δ ϕ = ϕ r + ϕ r 2 ϕ t + ϕ 3 ϕ 5 ,

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