Abstract

A parallel pattern-recognition system composed of coupled-element tristable optical components is proposed. Each elemental component is an optical ring resonator in which three cells of nonlinear refractive-index material are placed between mirrors. The basic idea is derived from the symmetry-breaking instability caused by the unbalance between counterpropagating input light fields that excite the nonlinear refractive-index material (the cell) bidirectionally. Input spatial patterns composed of the arbitrary combinations of [0, 0, 0], [1, 1, 0], [0, 1, 1], and [1, 0, 1] are found to be recognized at once, yielding the capacity of ⅔ bit/cell.

© 1989 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K. Otsuka, IEEE J. Quantum Electron. QE-18, 10 (1982).
    [CrossRef]
  2. J. L. Oudar, R. Kuszelewicz, Appl. Phys. Lett. 45, 831 (1984).
    [CrossRef]
  3. B. S. Wherrett, IEEE J. Quantum Electron. QE-20, 646 (1984).
    [CrossRef]
  4. K. Otsuka, K. Ikeda, Phys. Rev. Lett. 59, 194 (1987).
    [CrossRef] [PubMed]
  5. K. Otsuka, K. Ikeda, Opt. Lett. 12, 599 (1987).
    [CrossRef] [PubMed]
  6. K. Otsuka, Electron. Lett. 24, 800 (1988); Opt. Lett. 14, 72 (1989).
    [CrossRef] [PubMed]
  7. K. Otsuka, K. Ikeda, Phys. Rev. A 39, 5209 (1989).
    [CrossRef] [PubMed]
  8. Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).
  9. A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
    [CrossRef] [PubMed]
  10. D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
    [CrossRef]

1989 (1)

K. Otsuka, K. Ikeda, Phys. Rev. A 39, 5209 (1989).
[CrossRef] [PubMed]

1988 (2)

1987 (2)

1986 (1)

Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).

1984 (3)

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

J. L. Oudar, R. Kuszelewicz, Appl. Phys. Lett. 45, 831 (1984).
[CrossRef]

B. S. Wherrett, IEEE J. Quantum Electron. QE-20, 646 (1984).
[CrossRef]

1982 (1)

K. Otsuka, IEEE J. Quantum Electron. QE-18, 10 (1982).
[CrossRef]

Chemla, D. S.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

Dunning, G.

Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).

Gossard, A. C.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

Heritage, J. P.

Ikeda, K.

K. Otsuka, K. Ikeda, Phys. Rev. A 39, 5209 (1989).
[CrossRef] [PubMed]

K. Otsuka, K. Ikeda, Opt. Lett. 12, 599 (1987).
[CrossRef] [PubMed]

K. Otsuka, K. Ikeda, Phys. Rev. Lett. 59, 194 (1987).
[CrossRef] [PubMed]

Kuszelewicz, R.

J. L. Oudar, R. Kuszelewicz, Appl. Phys. Lett. 45, 831 (1984).
[CrossRef]

Marom, E.

Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).

Miller, D. A. B.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

Otsuka, K.

K. Otsuka, K. Ikeda, Phys. Rev. A 39, 5209 (1989).
[CrossRef] [PubMed]

K. Otsuka, Electron. Lett. 24, 800 (1988); Opt. Lett. 14, 72 (1989).
[CrossRef] [PubMed]

K. Otsuka, K. Ikeda, Phys. Rev. Lett. 59, 194 (1987).
[CrossRef] [PubMed]

K. Otsuka, K. Ikeda, Opt. Lett. 12, 599 (1987).
[CrossRef] [PubMed]

K. Otsuka, IEEE J. Quantum Electron. QE-18, 10 (1982).
[CrossRef]

Oudar, J. L.

J. L. Oudar, R. Kuszelewicz, Appl. Phys. Lett. 45, 831 (1984).
[CrossRef]

Owechko, Y.

Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).

Salehi, J. A.

Smith, P. W.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

Soffer, B. H.

Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).

Weiner, A. M.

Wherrett, B. S.

B. S. Wherrett, IEEE J. Quantum Electron. QE-20, 646 (1984).
[CrossRef]

Wiegman, W.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

Appl. Phys. Lett. (1)

J. L. Oudar, R. Kuszelewicz, Appl. Phys. Lett. 45, 831 (1984).
[CrossRef]

Electron. Lett. (1)

K. Otsuka, Electron. Lett. 24, 800 (1988); Opt. Lett. 14, 72 (1989).
[CrossRef] [PubMed]

IEEE J. Quantum Electron. (3)

B. S. Wherrett, IEEE J. Quantum Electron. QE-20, 646 (1984).
[CrossRef]

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegman, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

K. Otsuka, IEEE J. Quantum Electron. QE-18, 10 (1982).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

K. Otsuka, K. Ikeda, Phys. Rev. A 39, 5209 (1989).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

K. Otsuka, K. Ikeda, Phys. Rev. Lett. 59, 194 (1987).
[CrossRef] [PubMed]

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

Y. Owechko, E. Marom, B. H. Soffer, G. Dunning, Proc. Soc. Photo-Opt. Instrum. Eng. 700, 296 (1986).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Conceptual model of an optical ring resonator with three coupled nonlinear media cells.

Fig. 2
Fig. 2

Nonlinear phase shift ϕk(t) as a function of AB,s2 for various combinations of [ A F , s ( k ) 2 ] and [ A B , s ( k ) 2 ], where B = 0.3, ϕ 0 ( k ) = 0 ( k = 1 , 2 , 3 ), A F , b ( k ) 2 = A B , b ( k ) 2 = 2 . 3 ( k = 1 , 2 , 3 ), and A F , s ( k ) 2 = 7 . 7. The [ A F , s ( k ) 2 ] [ A B , s ( k ) 2 ] values are (a) [0, 1, 1]–[0, 1, 1] (matched input signals), (b) [1, 1, 0]–[0, 1, 1], (c) [0, 1, 1]–[1, l, 0],and(d)[0, 0, 0]–[0, l, 1].

Fig. 3
Fig. 3

A F , s ( k ) 2 versus A B , s ( k ) 2 for reliable pattern recognition. Pattern-recognition operations are achieved in the shadowed region. In projective regions A and B the system exhibits a stable output not only for matched patterns but also for mismatched patterns of [1, 1, 0]–[0, 1, 1] and/or its shifted combinations, depending on the initial conditions [see Fig. 2(b)].

Fig. 4
Fig. 4

Temporal evolution of | E F ( k ) | 2 for various combinations of [ A F , s ( k ) 2 ] and [ A B , s ( k ) 2 ], where A F , b ( k ) 2 = A B , b ( k ) 2 = 2 . 3, A F , s ( k ) 2 = 7 . 7, and A B , s ( k ) 2 = 8 . 2; the other parameters are the same as those for Fig. 2. The [ A F , s ( k ) 2 ] [ A B , s ( k ) 2 ] values are (a) [0, 1, 1]–[0, 1, 1] (matched input signals), (b) [0, 1, 1]–[1, 0, 1], (c) [0, 1, 1]–[1, 1, 0], and (d) [0, 0, 0]–[0, 1, 1].

Equations (3)

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

τ ϕ ˙ k = ϕ k + f F ( k ) ( ϕ k 1 ) + f B ( k ) ( ϕ k + 1 ) ,
f F ( k ) ( ϕ k 1 ) | E F ( k ) ( t ) | 2 A F ( k ) 2 + 2 A F ( k 1 ) A F ( k ) B × cos [ ϕ k 1 ( t ) + ϕ 0 ( k 1 ) ] + B 2 A F ( k 1 ) 2 ,
f B ( k ) ( ϕ k + 1 ) | E B ( k ) ( t ) | 2 A B ( k ) 2 + 2 A B ( k ) A B ( k + 1 ) B × cos [ ϕ k + 1 ( t ) + ϕ 0 ( k + 1 ) ] + B 2 A B ( k + 1 ) 2 .

Metrics