Abstract

We experimentally demonstrate all-optical steering of arrays of dark spatial solitons. The arrays are generated by two intersecting plane waves in the regime of adiabatic amplification in a Kerr-like medium. The steering is achieved by changing the relative intensities of the beams. In addition, we show that beams guided in the soliton channels can also be scanned.

© 1994 Optical Society of America

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  1. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972); V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).
  2. A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
    [CrossRef] [PubMed]
  3. D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. E. Kaplan, Opt. Lett. 15, 783 (1990).
    [CrossRef]
  4. G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
    [CrossRef] [PubMed]
  5. G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
    [CrossRef] [PubMed]
  6. S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
    [CrossRef]
  7. A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); M. Shalaby, A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992).
    [CrossRef]
  8. P. V. Mamyshev, Ch. Bosshard, G. I. Stegeman, “Generation of a periodic array of dark spatial solitons in the regime of effective amplification,”J. Opt. Soc. Am. B (to be published).
  9. B. Luther-Davies, X. Yang, Opt. Lett. 17, 1755 (1992).
    [CrossRef] [PubMed]
  10. P. V. Mamyshev, P. Wigley, J. Wilson, G. I. Stegeman, in Digest of Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1993), pp. 289–290.
  11. J. R. Thompson, R. Roy, Phys. Rev. A 43, 4987 (1991).
    [CrossRef] [PubMed]
  12. C. S. West, T. A. B. Kennedy, Phys. Rev. A 47, 1252 (1993).
    [CrossRef] [PubMed]
  13. P. V. Mamyshev, S. V. Chernikov, E. M. Dianov, IEEE J. Quantum Electron. 27, 2347 (1991).
    [CrossRef]
  14. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
    [CrossRef] [PubMed]
  15. P. V. Mamyshev, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed. (Cambridge U. Press, Cambridge, 1992), Chap. 8, pp. 266–313.
    [CrossRef]
  16. S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).
  17. G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

1993 (2)

C. S. West, T. A. B. Kennedy, Phys. Rev. A 47, 1252 (1993).
[CrossRef] [PubMed]

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

1992 (3)

B. Luther-Davies, X. Yang, Opt. Lett. 17, 1755 (1992).
[CrossRef] [PubMed]

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

1991 (4)

S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
[CrossRef]

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

J. R. Thompson, R. Roy, Phys. Rev. A 43, 4987 (1991).
[CrossRef] [PubMed]

P. V. Mamyshev, S. V. Chernikov, E. M. Dianov, IEEE J. Quantum Electron. 27, 2347 (1991).
[CrossRef]

1990 (1)

1989 (1)

1988 (1)

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

1985 (1)

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); M. Shalaby, A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992).
[CrossRef]

1972 (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972); V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

Allan, G. R.

S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
[CrossRef]

Anderson, D. R.

S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
[CrossRef]

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. E. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

Baets, R.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Barthelemy, A.

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); M. Shalaby, A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992).
[CrossRef]

Bosshard, Ch.

P. V. Mamyshev, Ch. Bosshard, G. I. Stegeman, “Generation of a periodic array of dark spatial solitons in the regime of effective amplification,”J. Opt. Soc. Am. B (to be published).

Chernikov, S. V.

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

P. V. Mamyshev, S. V. Chernikov, E. M. Dianov, IEEE J. Quantum Electron. 27, 2347 (1991).
[CrossRef]

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

Copeland, M.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Dianov, E. M.

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

P. V. Mamyshev, S. V. Chernikov, E. M. Dianov, IEEE J. Quantum Electron. 27, 2347 (1991).
[CrossRef]

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

Diemeer, M. B.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Duchet, C.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Fabre, P.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Froehly, C.

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); M. Shalaby, A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992).
[CrossRef]

Hawkins, R. J.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Heritage, J. P.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Hooton, D. E.

Horsthuis, W. H.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Kaplan, A. E.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. E. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

Kennedy, T. A. B.

C. S. West, T. A. B. Kennedy, Phys. Rev. A 47, 1252 (1993).
[CrossRef] [PubMed]

Kirschner, E. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Laming, R. I.

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

Law, C. T.

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Leaird, D. E.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Luther-Davies, B.

Mamyshev, P. V.

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

P. V. Mamyshev, S. V. Chernikov, E. M. Dianov, IEEE J. Quantum Electron. 27, 2347 (1991).
[CrossRef]

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

P. V. Mamyshev, P. Wigley, J. Wilson, G. I. Stegeman, in Digest of Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1993), pp. 289–290.

P. V. Mamyshev, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed. (Cambridge U. Press, Cambridge, 1992), Chap. 8, pp. 266–313.
[CrossRef]

P. V. Mamyshev, Ch. Bosshard, G. I. Stegeman, “Generation of a periodic array of dark spatial solitons in the regime of effective amplification,”J. Opt. Soc. Am. B (to be published).

Maneuf, S.

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); M. Shalaby, A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992).
[CrossRef]

McDonach, A.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Möhlmann, G. R.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Payne, D. N.

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

Prokhorov, A. M.

Regan, J. J.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Richardson, D. J.

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

Roy, R.

J. R. Thompson, R. Roy, Phys. Rev. A 43, 4987 (1991).
[CrossRef] [PubMed]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972); V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

Skinner, S. R.

S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
[CrossRef]

Smirl, A. L.

S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
[CrossRef]

Stegeman, G. I.

P. V. Mamyshev, Ch. Bosshard, G. I. Stegeman, “Generation of a periodic array of dark spatial solitons in the regime of effective amplification,”J. Opt. Soc. Am. B (to be published).

P. V. Mamyshev, P. Wigley, J. Wilson, G. I. Stegeman, in Digest of Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1993), pp. 289–290.

Suyten, F. M. M.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Swartzlander, G. A.

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. E. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

Thompson, J. R.

J. R. Thompson, R. Roy, Phys. Rev. A 43, 4987 (1991).
[CrossRef] [PubMed]

Thurston, R. N.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Tomlinson, W. J.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Trommel, E. S.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

van Daehle, P.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

van der Vorst, C. P. J.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

van Tomme, E.

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Weiner, A. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

West, C. S.

C. S. West, T. A. B. Kennedy, Phys. Rev. A 47, 1252 (1993).
[CrossRef] [PubMed]

Wigley, P.

P. V. Mamyshev, P. Wigley, J. Wilson, G. I. Stegeman, in Digest of Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1993), pp. 289–290.

Wilson, J.

P. V. Mamyshev, P. Wigley, J. Wilson, G. I. Stegeman, in Digest of Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1993), pp. 289–290.

Yang, X.

Yin, H.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972); V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

IEEE J. Quantum Electron. (2)

S. R. Skinner, G. R. Allan, D. R. Anderson, A. L. Smirl, IEEE J. Quantum Electron. 27, 2211 (1991).
[CrossRef]

P. V. Mamyshev, S. V. Chernikov, E. M. Dianov, IEEE J. Quantum Electron. 27, 2347 (1991).
[CrossRef]

Opt. Commun. (1)

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); M. Shalaby, A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (2)

J. R. Thompson, R. Roy, Phys. Rev. A 43, 4987 (1991).
[CrossRef] [PubMed]

C. S. West, T. A. B. Kennedy, Phys. Rev. A 47, 1252 (1993).
[CrossRef] [PubMed]

Phys. Rev. Lett. (3)

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

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

G. R. Möhlmann, W. H. Horsthuis, C. P. J. van der Vorst, A. McDonach, M. Copeland, C. Duchet, P. Fabre, M. B. Diemeer, E. S. Trommel, F. M. M. Suyten, P. van Daehle, E. van Tomme, R. Baets, Proc. Soc. Photo-Opt. Instrum. Eng. 1147, 61 (1993).

Sov. Lightwave Commun. (1)

S. V. Chernikov, P. V. Mamyshev, E. M. Dianov, D. J. Richardson, R. I. Laming, D. N. Payne, Sov. Lightwave Commun. 2, 161 (1992).

Sov. Phys. JETP (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972); V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

Other (3)

P. V. Mamyshev, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed. (Cambridge U. Press, Cambridge, 1992), Chap. 8, pp. 266–313.
[CrossRef]

P. V. Mamyshev, Ch. Bosshard, G. I. Stegeman, “Generation of a periodic array of dark spatial solitons in the regime of effective amplification,”J. Opt. Soc. Am. B (to be published).

P. V. Mamyshev, P. Wigley, J. Wilson, G. I. Stegeman, in Digest of Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1993), pp. 289–290.

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Figures (4)

Fig. 1
Fig. 1

Numerical simulation of the path of a minimum in the sinusoidal input signal for different power ratios |A1|2/|A2|2. An input with |A1|2 + |A2|2 = 0.024 and an amplification of μ = 0.79, both satisfying the requirement of adiabatic amplification, were used.

Fig. 2
Fig. 2

Qualitative explanation for the scanning of the dark spatial soliton arrays. The wave vectors k1 and k2 are slightly displaced for clarity. For P1 > P2 and a negative nonlinearity γ < 0, we have |k2′|<|k1′| θ is the angle between the writing beams.

Fig. 3
Fig. 3

(a) Experimental and (b) theoretical near-field images of the dark spatial soliton arrays for different relative power excitation conditions. Power ratios of 1:1, 1:13.5, and 13.5:1 between the two writing beams were used. By a change in the relative intensities of the two beams, the direction could be steered, (i) Sinusoidal input signal, (ii) dark soliton array output signal for |A1| = |A2|, (iii) output signal for |A1|2/|A2|2 = 1/13.5 and |A1|2/|A2|2 = 13.5.

Fig. 4
Fig. 4

Scanning of the beams guided by the dark spatial soliton array for three values of the power ratio between the writing beams. Power ratios of 1:1, 1:13.5, and 13.5:1 were used. By a change in the intensities of the two argon beams, the direction of the He–Ne beams guided by the solitons was steered

Equations (2)

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i A ξ + 1 2 2 A η 2 + A | A | 2 i μ 2 A = 0 ,
A ( η , 0 ) = i [ A 2 exp ( i π η 2 ) A 1 exp ( i π η 2 ) ] .

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