Abstract

We demonstrate that nonlinear optical fiber arrays can support stable solitonlike pulses with finite energy. The bound state that we have found is localized both in time and in spatial domain in the direction perpendicular to the pulse propagation. Numerical studies support our analytical conclusions.

© 1994 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. A. Kuznetsov, A. M. Rubenchik, V. E. Zakharov, Phys. Rep. 142, 105 (1986).
    [Crossref]
  2. S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
    [Crossref]
  3. D. N. Christodoulides, R. I. Joseph, Opt. Lett. 13, 794 (1988).
    [Crossref] [PubMed]
  4. N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
    [Crossref]
  5. C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, Opt. Lett. 16, 294 (1991).
    [Crossref] [PubMed]
  6. C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
    [Crossref] [PubMed]
  7. C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
    [Crossref]
  8. L. J. Bernstein, Opt. Commun. 94, 406 (1992).
    [Crossref]
  9. M. I. Molina, W. D. Deering, G. P. Tsironis, Physica D 66, 135 (1993).
    [Crossref]
  10. J. M. Soto-Crespo, E. M. Wright, J. Appl. Phys. 70, 7240 (1991).
    [Crossref]
  11. P. E. Langridge, W. J. Firth, Opt. Quantum Electron. 24, 1315 (1992).
    [Crossref]
  12. D. B. Mortimore, J. W. Arkwright, Appl. Opt. 29, 1814 (1990).
    [Crossref] [PubMed]
  13. D. B. Mortimore, J. W. Arkwright, Appl. Opt. 30, 650 (1991).
    [Crossref] [PubMed]
  14. A. C. Scott, L. MacNeil, Phys. Lett. A 98,87 (1983).
    [Crossref]
  15. C. L. Mader, Department of Mathematics and Statistics, University of New Mexico, Albuquerque, N.M. 87131 (personal communication, 1993).

1993 (1)

M. I. Molina, W. D. Deering, G. P. Tsironis, Physica D 66, 135 (1993).
[Crossref]

1992 (3)

P. E. Langridge, W. J. Firth, Opt. Quantum Electron. 24, 1315 (1992).
[Crossref]

C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
[Crossref]

L. J. Bernstein, Opt. Commun. 94, 406 (1992).
[Crossref]

1991 (4)

C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, Opt. Lett. 16, 294 (1991).
[Crossref] [PubMed]

C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
[Crossref] [PubMed]

J. M. Soto-Crespo, E. M. Wright, J. Appl. Phys. 70, 7240 (1991).
[Crossref]

D. B. Mortimore, J. W. Arkwright, Appl. Opt. 30, 650 (1991).
[Crossref] [PubMed]

1990 (2)

D. B. Mortimore, J. W. Arkwright, Appl. Opt. 29, 1814 (1990).
[Crossref] [PubMed]

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[Crossref]

1988 (1)

1986 (1)

E. A. Kuznetsov, A. M. Rubenchik, V. E. Zakharov, Phys. Rep. 142, 105 (1986).
[Crossref]

1983 (1)

A. C. Scott, L. MacNeil, Phys. Lett. A 98,87 (1983).
[Crossref]

1982 (1)

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

Arkwright, J. W.

Bernstein, L. J.

L. J. Bernstein, Opt. Commun. 94, 406 (1992).
[Crossref]

Christodoulides, D. N.

Deering, W. D.

M. I. Molina, W. D. Deering, G. P. Tsironis, Physica D 66, 135 (1993).
[Crossref]

Finlayson, N.

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[Crossref]

Firth, W. J.

P. E. Langridge, W. J. Firth, Opt. Quantum Electron. 24, 1315 (1992).
[Crossref]

Jensen, S. M.

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

Joseph, R. I.

Kuznetsov, E. A.

E. A. Kuznetsov, A. M. Rubenchik, V. E. Zakharov, Phys. Rep. 142, 105 (1986).
[Crossref]

Langridge, P. E.

P. E. Langridge, W. J. Firth, Opt. Quantum Electron. 24, 1315 (1992).
[Crossref]

Lederer, F.

C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
[Crossref]

C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
[Crossref] [PubMed]

C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, Opt. Lett. 16, 294 (1991).
[Crossref] [PubMed]

MacNeil, L.

A. C. Scott, L. MacNeil, Phys. Lett. A 98,87 (1983).
[Crossref]

Mader, C. L.

C. L. Mader, Department of Mathematics and Statistics, University of New Mexico, Albuquerque, N.M. 87131 (personal communication, 1993).

Molina, M. I.

M. I. Molina, W. D. Deering, G. P. Tsironis, Physica D 66, 135 (1993).
[Crossref]

Mortimore, D. B.

Muschall, R.

C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
[Crossref]

C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
[Crossref] [PubMed]

Rubenchik, A. M.

E. A. Kuznetsov, A. M. Rubenchik, V. E. Zakharov, Phys. Rep. 142, 105 (1986).
[Crossref]

Schmidt-Hattenberger, C.

C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
[Crossref]

C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
[Crossref] [PubMed]

C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, Opt. Lett. 16, 294 (1991).
[Crossref] [PubMed]

Scott, A. C.

A. C. Scott, L. MacNeil, Phys. Lett. A 98,87 (1983).
[Crossref]

Soto-Crespo, J. M.

J. M. Soto-Crespo, E. M. Wright, J. Appl. Phys. 70, 7240 (1991).
[Crossref]

Stegeman, G. I.

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[Crossref]

Trutschel, U.

C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
[Crossref]

C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
[Crossref] [PubMed]

C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, Opt. Lett. 16, 294 (1991).
[Crossref] [PubMed]

Tsironis, G. P.

M. I. Molina, W. D. Deering, G. P. Tsironis, Physica D 66, 135 (1993).
[Crossref]

Wright, E. M.

J. M. Soto-Crespo, E. M. Wright, J. Appl. Phys. 70, 7240 (1991).
[Crossref]

Zakharov, V. E.

E. A. Kuznetsov, A. M. Rubenchik, V. E. Zakharov, Phys. Rep. 142, 105 (1986).
[Crossref]

Appl. Opt. (2)

Appl. Phys. Lett. (1)

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[Crossref]

IEEE J. Quantum Electron. (1)

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

J. Appl. Phys. (1)

J. M. Soto-Crespo, E. M. Wright, J. Appl. Phys. 70, 7240 (1991).
[Crossref]

Opt. Commun. (2)

C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 82, 461 (1991); C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, F. Lederer, Opt. Commun. 89, 473 (1992).
[Crossref] [PubMed]

L. J. Bernstein, Opt. Commun. 94, 406 (1992).
[Crossref]

Opt. Lett. (2)

Opt. Quantum Electron. (2)

C. Schmidt-Hattenberger, R. Muschall, U. Trutschel, F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
[Crossref]

P. E. Langridge, W. J. Firth, Opt. Quantum Electron. 24, 1315 (1992).
[Crossref]

Phys. Lett. A (1)

A. C. Scott, L. MacNeil, Phys. Lett. A 98,87 (1983).
[Crossref]

Phys. Rep. (1)

E. A. Kuznetsov, A. M. Rubenchik, V. E. Zakharov, Phys. Rep. 142, 105 (1986).
[Crossref]

Physica D (1)

M. I. Molina, W. D. Deering, G. P. Tsironis, Physica D 66, 135 (1993).
[Crossref]

Other (1)

C. L. Mader, Department of Mathematics and Statistics, University of New Mexico, Albuquerque, N.M. 87131 (personal communication, 1993).

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 (1)

Fig. 1
Fig. 1

Propagation of the field in (a) the central fiber and (b) its neighbor in a linear fiber array. Observe that both have the same temporal width, with a variation only in peak power, as predicted by theory.

Equations (12)

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

i z ψ n + κ ( ψ n + 1 + ψ n - 1 - 2 ψ n ) + ω t t ψ n + T ψ n 2 ψ n = 0 ,
H = n ( ψ n - ψ n - 1 2 + τ ψ n 2 - ψ n 4 ) d τ .
i z ψ + n n ψ + τ τ ψ + 2 ψ 2 ψ = 0 ,
H = ( y ψ 2 + τ ψ 2 - ψ 4 ) d y d τ ,
ψ ( τ , y ) = 1 a b ψ ( τ a , y b ) ,
H = I 1 a 2 + I 2 b 2 - I 3 a b ,
U 3 n max z ψ n 2 ψ n 2 d τ n max z ψ n 2 n ψ n 2 d τ 2 ( n τ ψ n 2 ) 1 / 2 ( n ψ n 2 d τ ) 1 / 2 N = 2 U 2 1 / 2 N 3 / 2 .
i z ψ 0 + τ τ ψ 0 + 2 ψ 0 2 ψ 0 = 0 ,
i z ψ n + τ τ ψ n + ψ n - 1 = 0 ,             n = 1 , 2 .
- λ 2 g n + ( g n + 1 + g n - 1 ) + τ τ g n + 2 g n 2 g n = 0.
g 1 = 1 2 λ { exp ( λ τ ) ln [ 1 + exp ( - 2 λ τ ) ] + exp ( - λ τ ) ln [ 1 + exp ( 2 λ τ ) ] } .
i z ψ m , n + τ τ ψ m , n + ψ m , n 2 ψ m , n + κ ( ψ m + 1 , n + ψ m - 1 , n + ψ m , n + 1 + ψ m , n - 1 ) = 0 ,

Metrics