Abstract

We present numerical simulations of a logic gate based on repulsive interaction in a dual-core fiber and call it a soliton-repulsion logic gate (SRLG). The operation of the SRLG is compared with that of the conventional soliton-dragging logic gate based on cross-phase modulation. The length of the SRLG can be reduced by a factor of 3 over that of the conventional logic gate. By optimizing parameters, terahertz operation can be obtained.

© 1996 Optical Society of America

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References

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  1. M. N. Islam, C. E. Soccolich, D. A. B. Miller, Opt. Lett. 15, 909 (1990).
    [CrossRef] [PubMed]
  2. S. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
    [CrossRef]
  3. F. Kh. Abdullaev, R. M. Abrarov, S. A. Darmanyan, Opt. Lett. 14, 131 (1989).
    [CrossRef] [PubMed]
  4. S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
    [CrossRef]
  5. S. Trillo, S. Wabnitz, E. M. Wright, G. I. Stegeman, Opt. Lett. 13, 672 (1988).
    [CrossRef] [PubMed]
  6. Y-J. Oh, S. L. Doty, J. W. Haus, R. L. Fork, J. Opt. Soc. Am. B 12, 2502 (1995).
    [CrossRef]
  7. N. N. Islam, Ultrafast Fiber Switching Devices and Systems (Cambridge U. Press, Cambridge, 1992).
  8. M. N. Islam, C. E. Soccolich, C.-J. Chen, U.-C. Paek, C. M. Schroeder, D. J. DiGiovanni, J. R. Simpson, Opt. Lett. 16, 593 (1991).
    [CrossRef] [PubMed]
  9. See, for example,G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989), Chap. 2, and references therein.
  10. G. R. Atkins, J. W. Arkwright, S. J. Hewlett, Electron. Lett. 30, 2165 (1994).
    [CrossRef]

1995

S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
[CrossRef]

Y-J. Oh, S. L. Doty, J. W. Haus, R. L. Fork, J. Opt. Soc. Am. B 12, 2502 (1995).
[CrossRef]

1994

G. R. Atkins, J. W. Arkwright, S. J. Hewlett, Electron. Lett. 30, 2165 (1994).
[CrossRef]

1991

1990

1989

1988

1982

S. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[CrossRef]

Abdullaev, F. Kh.

Abrarov, R. M.

Agrawal, G. P.

See, for example,G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989), Chap. 2, and references therein.

Arkwright, J. W.

G. R. Atkins, J. W. Arkwright, S. J. Hewlett, Electron. Lett. 30, 2165 (1994).
[CrossRef]

Atkins, G. R.

G. R. Atkins, J. W. Arkwright, S. J. Hewlett, Electron. Lett. 30, 2165 (1994).
[CrossRef]

Chen, C.-J.

Darmanyan, S. A.

DiGiovanni, D. J.

Doty, S. L.

S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
[CrossRef]

Y-J. Oh, S. L. Doty, J. W. Haus, R. L. Fork, J. Opt. Soc. Am. B 12, 2502 (1995).
[CrossRef]

Fork, R. L.

S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
[CrossRef]

Y-J. Oh, S. L. Doty, J. W. Haus, R. L. Fork, J. Opt. Soc. Am. B 12, 2502 (1995).
[CrossRef]

Haus, J. W.

Y-J. Oh, S. L. Doty, J. W. Haus, R. L. Fork, J. Opt. Soc. Am. B 12, 2502 (1995).
[CrossRef]

S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
[CrossRef]

Hewlett, S. J.

G. R. Atkins, J. W. Arkwright, S. J. Hewlett, Electron. Lett. 30, 2165 (1994).
[CrossRef]

Islam, M. N.

Islam, N. N.

N. N. Islam, Ultrafast Fiber Switching Devices and Systems (Cambridge U. Press, Cambridge, 1992).

Jensen, S.

S. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[CrossRef]

Miller, D. A. B.

Oh, Y-J.

S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
[CrossRef]

Y-J. Oh, S. L. Doty, J. W. Haus, R. L. Fork, J. Opt. Soc. Am. B 12, 2502 (1995).
[CrossRef]

Paek, U.-C.

Schroeder, C. M.

Simpson, J. R.

Soccolich, C. E.

Stegeman, G. I.

Trillo, S.

Wabnitz, S.

Wright, E. M.

Electron. Lett.

G. R. Atkins, J. W. Arkwright, S. J. Hewlett, Electron. Lett. 30, 2165 (1994).
[CrossRef]

IEEE J. Quantum Electron.

S. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. E

S. L. Doty, J. W. Haus, Y-J. Oh, R. L. Fork, Phys. Rev. E 51, 709 (1995).
[CrossRef]

Other

See, for example,G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989), Chap. 2, and references therein.

N. N. Islam, Ultrafast Fiber Switching Devices and Systems (Cambridge U. Press, Cambridge, 1992).

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Figures (5)

Fig. 1
Fig. 1

Schematic of a SRLG element based on a dual-core fiber: S, signal; C, control; R, reference pulse; BS, beam splitter.

Fig. 2
Fig. 2

Control pulse profiles at z = 10z0 with (solid curve) and without (dotted curve) the signal pulse. Here δt = 1.5 and Δϕ = π.

Fig. 3
Fig. 3

Control pulse maximum position (solid curve) and intensity (dotted curve) versus soliton period for two input pulses; both the control and the signal pulses are sent with the initial phase difference π. Here δt = 1.5.

Fig. 4
Fig. 4

Normalized control pulse shift (ΔT/τ) versus the initial input pulse separation (δt/τ).

Fig. 5
Fig. 5

Normalized control pulse shift (ΔT/τ) versus the initial phase difference between the control and the signal pulses. The initial separation between the pulses is δt = 1.5.

Equations (2)

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i u z + 1 2 2 u T 2 + v + | u | 2 u = 0 , i u z + 1 2 2 v T 2 + u + | v | 2 v = 0 .
u ( z = 0 , T ) = sech ( T ) , v ( z = 0 , T ) = v 0 sech ( T δ t ) exp ( i Δ ϕ ) ,

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