Abstract

We propose an adaptive logic circuit whose function can be controlled by optical carrier frequency modulation. The circuit learns the desired functions by adjusting the delay time at a spatial light modulator with a complex-valued Hebbian learning rule. After the learning, the circuit can switch its function all at once. A high degree of mechanical stability is achieved by spatial phase-difference coding. Two orthogonal phase components are detected in parallel spatially. Experiments demonstrate that the system works as an and circuit at a certain frequency and as an xor at another. The proposal will enhance the design of optical plastic cell architectures.

© 2005 Optical Society of America

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  1. J. Tanida, Y. Ichioka, “OPALS: optical parallel array logic system,” Appl. Opt. 25, 1565–1570 (1986).
    [CrossRef] [PubMed]
  2. J. Tanida, Y. Ichioka, “Programming of optical array logic. 1. Image data processing,” Appl. Opt. 27, 2926–2930 (1988).
    [CrossRef] [PubMed]
  3. A. W. Lohmann, “Polarization and optical logic,” Appl. Opt. 25, 1594–1597 (1986).
    [CrossRef] [PubMed]
  4. D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
    [CrossRef]
  5. M. Takeda, T. Kishigami, “Complex neural fields with a Hopfield-like energy function and an analogy to optical fields generated in phase-conjugate resonators,” J. Opt. Soc. Am. A 9, 2182–2191 (1992).
    [CrossRef]
  6. H. Toyoda, N. Mukohzaka, Y. Suzuki, M. Ishikawa, “Adaptive optical processing system with optical associative memory,” Appl. Opt. 32, 1354–1358 (1993).
    [CrossRef] [PubMed]
  7. A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
    [CrossRef]
  8. P. E. X. Silveira, G. S. Pati, K. H. Wagner, “Optical finite impulse response neural networks,” Appl. Opt. 41, 4162–4178 (2002).
    [CrossRef] [PubMed]
  9. See “EnLight256” (Lenslet Ltd., Herzelia Pituach, Israel, 2003); http://www.lenslet.com/ .
  10. U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
    [CrossRef]
  11. H. Takahashi, “Planar lightwave circuit devices for optical communication: present and future,” in Information Technologies and Communication, A. K. Dutta, A. A. S. Awwal, N. K. Dutta, K. Fujiura, eds., Proc. SPIE5246, 520–531 (2003).
  12. A. Goulet, M. Naruse, M. Ishikawa, “Simple integration technique to realize parallel optical interconnects: implementation of a pluggable two-dimensional optical data link,” Appl. Opt. 41, 5538–5551 (2002).
    [CrossRef] [PubMed]
  13. M. Chateauneuf, A. G. Kirk, “Determination of the optimum cluster parameters in a clustered free-space optical interconnect,” Appl. Opt. 42, 5906–5917 (2003).
    [CrossRef] [PubMed]
  14. N. Nishimura, Y. Awatsuji, T. Kubota, “Performance comparison and evaluation of options for arranging data in digital optical parallel computing,” Opt. Rev. 10, 523–533 (2003).
    [CrossRef]
  15. A. Hirose, R. Eckmiller, “Coherent optical neural networks that have optical-frequency-controlled behavior and generalization ability in the frequency domain,” Appl. Opt. 35, 836–843 (1996).
    [CrossRef] [PubMed]
  16. A. Hirose, ed., Complex-Valued Neural Networks: Theories and Applications (World Scientific, 2003).
  17. A. Hirose, M. Kiuchi, “Coherent optical associative memory system that processes complex-amplitude information,” IEEE Photon. Technol. Lett. 12, 564–566 (2000).
    [CrossRef]
  18. S. Kawata, A. Hirose, “Coherent lightwave associative memory system that possesses a carrier-frequency-controlled behavior,” Opt. Eng. 42, 2670–2675 (2003).
    [CrossRef]
  19. S. Kawata, A. Hirose, “Coherent optical neural network that learns desirable phase values in frequency domain by use of multiple optical-path differences,” Opt. Lett. 28, 2524–2526 (2003).
    [CrossRef] [PubMed]
  20. W. S. Wu, S. Campbell, P. C. Yeh, “Implementation of a photorefractive arithmetic logic unit for multiwavelength information processing,” J. Opt. Soc. Am. B 13, 2549–2557 (1996).
    [CrossRef]
  21. K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).
  22. N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).
  23. Y. Oshita, T. Konishi, Y. Ichioka, “Ultrafast time-to-two-dimensional-space conversion system using SHG crystal,” Opt. Rev. 9, 141–145 (2002).
    [CrossRef]

2003 (5)

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

N. Nishimura, Y. Awatsuji, T. Kubota, “Performance comparison and evaluation of options for arranging data in digital optical parallel computing,” Opt. Rev. 10, 523–533 (2003).
[CrossRef]

S. Kawata, A. Hirose, “Coherent lightwave associative memory system that possesses a carrier-frequency-controlled behavior,” Opt. Eng. 42, 2670–2675 (2003).
[CrossRef]

M. Chateauneuf, A. G. Kirk, “Determination of the optimum cluster parameters in a clustered free-space optical interconnect,” Appl. Opt. 42, 5906–5917 (2003).
[CrossRef] [PubMed]

S. Kawata, A. Hirose, “Coherent optical neural network that learns desirable phase values in frequency domain by use of multiple optical-path differences,” Opt. Lett. 28, 2524–2526 (2003).
[CrossRef] [PubMed]

2002 (3)

2000 (3)

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

A. Hirose, M. Kiuchi, “Coherent optical associative memory system that processes complex-amplitude information,” IEEE Photon. Technol. Lett. 12, 564–566 (2000).
[CrossRef]

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

1998 (1)

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

1996 (2)

1993 (1)

1992 (1)

1989 (1)

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

1988 (1)

1986 (2)

Arad, U.

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

Averboukh, A.

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

Awatsuji, Y.

N. Nishimura, Y. Awatsuji, T. Kubota, “Performance comparison and evaluation of options for arranging data in digital optical parallel computing,” Opt. Rev. 10, 523–533 (2003).
[CrossRef]

Behrman, E. C.

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

Brady, D.

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

Campbell, S.

Chateauneuf, M.

Cruz-Cabrera, A. A.

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

Cui, G.

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

Eckmiller, R.

Efron, U.

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

Goulet, A.

Gu, X.

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

Hirose, A.

S. Kawata, A. Hirose, “Coherent optical neural network that learns desirable phase values in frequency domain by use of multiple optical-path differences,” Opt. Lett. 28, 2524–2526 (2003).
[CrossRef] [PubMed]

S. Kawata, A. Hirose, “Coherent lightwave associative memory system that possesses a carrier-frequency-controlled behavior,” Opt. Eng. 42, 2670–2675 (2003).
[CrossRef]

A. Hirose, M. Kiuchi, “Coherent optical associative memory system that processes complex-amplitude information,” IEEE Photon. Technol. Lett. 12, 564–566 (2000).
[CrossRef]

A. Hirose, R. Eckmiller, “Coherent optical neural networks that have optical-frequency-controlled behavior and generalization ability in the frequency domain,” Appl. Opt. 35, 836–843 (1996).
[CrossRef] [PubMed]

Hsu, K.

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

Ichioka, Y.

Imlig, N.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

Inamori, M.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

Ishikawa, M.

Ito, H.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

Kawata, S.

S. Kawata, A. Hirose, “Coherent optical neural network that learns desirable phase values in frequency domain by use of multiple optical-path differences,” Opt. Lett. 28, 2524–2526 (2003).
[CrossRef] [PubMed]

S. Kawata, A. Hirose, “Coherent lightwave associative memory system that possesses a carrier-frequency-controlled behavior,” Opt. Eng. 42, 2670–2675 (2003).
[CrossRef]

Kirk, A. G.

Kishigami, T.

Kiuchi, M.

A. Hirose, M. Kiuchi, “Coherent optical associative memory system that processes complex-amplitude information,” IEEE Photon. Technol. Lett. 12, 564–566 (2000).
[CrossRef]

Konishi, R.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

Konishi, T.

Y. Oshita, T. Konishi, Y. Ichioka, “Ultrafast time-to-two-dimensional-space conversion system using SHG crystal,” Opt. Rev. 9, 141–145 (2002).
[CrossRef]

Kubota, T.

N. Nishimura, Y. Awatsuji, T. Kubota, “Performance comparison and evaluation of options for arranging data in digital optical parallel computing,” Opt. Rev. 10, 523–533 (2003).
[CrossRef]

Levit, S.

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

Lin, S.

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

Lohmann, A. W.

Mukohzaka, N.

Nagami, K.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

Nakada, H.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

Naruse, M.

Nishimura, N.

N. Nishimura, Y. Awatsuji, T. Kubota, “Performance comparison and evaluation of options for arranging data in digital optical parallel computing,” Opt. Rev. 10, 523–533 (2003).
[CrossRef]

Oguri, K.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

Oshita, Y.

Y. Oshita, T. Konishi, Y. Ichioka, “Ultrafast time-to-two-dimensional-space conversion system using SHG crystal,” Opt. Rev. 9, 141–145 (2002).
[CrossRef]

Pati, G. S.

Psaltis, D.

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

Redmard, E.

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

Shamay, M.

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

Shiozawa, T.

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

Silveira, P. E. X.

Skinner, S. R.

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

Steck, J. E.

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

Suzuki, Y.

Takahashi, H.

H. Takahashi, “Planar lightwave circuit devices for optical communication: present and future,” in Information Technologies and Communication, A. K. Dutta, A. A. S. Awwal, N. K. Dutta, K. Fujiura, eds., Proc. SPIE5246, 520–531 (2003).

Takeda, M.

Tanida, J.

Toyoda, H.

Wagner, K. H.

Wu, W. S.

Yamamura, A.

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

Yang, M.

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

Yeh, P. C.

Appl. Opt. (8)

IEEE Commun. Mag. (1)

D. Psaltis, S. Lin, A. Yamamura, X. Gu, K. Hsu, D. Brady, “Optoelectronic implementations of neural networks,” IEEE Commun. Mag. 27(11), 37–40 (1989).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

U. Arad, E. Redmard, M. Shamay, A. Averboukh, S. Levit, U. Efron, “Development of a large high-performance 2-D array of GaAs–AlGaAs multiple quantum-well modulators,” IEEE Photon. Technol. Lett. 15, 1531–1533 (2003).
[CrossRef]

A. Hirose, M. Kiuchi, “Coherent optical associative memory system that processes complex-amplitude information,” IEEE Photon. Technol. Lett. 12, 564–566 (2000).
[CrossRef]

IEEE Trans. Neural Netw. (1)

A. A. Cruz-Cabrera, M. Yang, G. Cui, E. C. Behrman, J. E. Steck, S. R. Skinner, “Reinforcement and backpropagation training for an optical neural network using self-lensing effects,” IEEE Trans. Neural Netw. 11, 1450–1457 (2000).
[CrossRef]

IEICE Trans. Electron. (1)

K. Nagami, K. Oguri, T. Shiozawa, H. Ito, R. Konishi, “Plastic cell architecture: a scalable device architecture for general-purpose reconfigurable computing,” IEICE Trans. Electron. E81-C(9), 1431–1437 (1998).

IEICE Trans. Fundam. Electron. Commun. Comput. Sci. (1)

N. Imlig, T. Shiozawa, R. Konishi, K. Oguri, K. Nagami, H. Ito, M. Inamori, H. Nakada, “Programmable dataflow computing on PCA,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E83-A(12), 2409–2416 (2000).

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

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

Opt. Eng. (1)

S. Kawata, A. Hirose, “Coherent lightwave associative memory system that possesses a carrier-frequency-controlled behavior,” Opt. Eng. 42, 2670–2675 (2003).
[CrossRef]

Opt. Lett. (1)

Opt. Rev. (2)

N. Nishimura, Y. Awatsuji, T. Kubota, “Performance comparison and evaluation of options for arranging data in digital optical parallel computing,” Opt. Rev. 10, 523–533 (2003).
[CrossRef]

Y. Oshita, T. Konishi, Y. Ichioka, “Ultrafast time-to-two-dimensional-space conversion system using SHG crystal,” Opt. Rev. 9, 141–145 (2002).
[CrossRef]

Other (3)

See “EnLight256” (Lenslet Ltd., Herzelia Pituach, Israel, 2003); http://www.lenslet.com/ .

H. Takahashi, “Planar lightwave circuit devices for optical communication: present and future,” in Information Technologies and Communication, A. K. Dutta, A. A. S. Awwal, N. K. Dutta, K. Fujiura, eds., Proc. SPIE5246, 520–531 (2003).

A. Hirose, ed., Complex-Valued Neural Networks: Theories and Applications (World Scientific, 2003).

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