Abstract

We study the effects caused by remote boundaries on soliton dynamics in nonlinear media with a large range of nonlocality, and demonstrate theoretically and experimentally how asymmetric boundary forces can lead to soliton steering and oscillation in predetermined trajectories.

© 2006 Optical Society of America

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  1. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  8. G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
    [CrossRef]
  9. P. Dumais, A. Villeneuve, A. Saher-Helm, J. S. Aitchison, L. Freidrich, R. A. Fuerst, and G. I. Stegeman, Opt. Lett. 25, 1282 (2000).
    [CrossRef]
  10. E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  16. J. F. Henninot, M. Debailleul, and M. Warenghem, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631 (2002).
    [CrossRef]
  17. A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
    [CrossRef] [PubMed]
  18. M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
    [CrossRef]

2006 (1)

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

2005 (1)

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

2004 (1)

2003 (1)

2002 (4)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

J. F. Henninot, M. Debailleul, and M. Warenghem, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631 (2002).
[CrossRef]

I. V. Shadrivov and A. A. Zharov, J. Opt. Soc. Am. B 19, 596 (2002).
[CrossRef]

J. Scheuer and M. Orenstein, J. Opt. Soc. Am. B 19, 732 (2002).
[CrossRef]

2001 (1)

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

2000 (1)

1999 (2)

1997 (2)

A. D. Capobianco, C. De Angelis, A. Laureti Palma, and G. F. Nalesso, J. Opt. Soc. Am. B 14, 1956 (1997).
[CrossRef]

M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
[CrossRef]

1996 (1)

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

1994 (1)

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

1990 (1)

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

1989 (1)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Aitchison, J. S.

Alvarado-Mendez, E.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Andrade-Lucio, J. A.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Assanto, G.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Avina-Cervantes, J. G.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Bang, O.

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Baronio, F.

Barthelemy, A.

Bertolotti, M.

M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
[CrossRef]

Capobianco, A. D.

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Carrasco, S.

Chubykalo, O. A.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Clausen, C. B.

Cohen, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Couderc, V.

Crosignani, B.

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

De Angelis, C.

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Debailleul, M.

J. F. Henninot, M. Debailleul, and M. Warenghem, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631 (2002).
[CrossRef]

Dreischuh, A.

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Dumais, P.

Freidrich, L.

Fuerst, R. A.

Hagan, D. J.

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Henninot, J. F.

J. F. Henninot, M. Debailleul, and M. Warenghem, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631 (2002).
[CrossRef]

Jankovic, L.

Katz, M.

Kim, H.

Kivshar, Y. S.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Kosevich, A. M.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Krolikowski, W.

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Kuzin, E. A.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Laureti Palma, A.

Li Voti, R.

M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
[CrossRef]

Manela, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Marchetti, S.

M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
[CrossRef]

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Nalesso, G. F.

Neshev, D.

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Orenstein, M.

Peccianti, M.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Pedraza-Ortega, J. C.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Petersen, D. E.

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Pioger, P.

Porto, P. D.

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Rojas-Laguna, R.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Rotschild, C.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Saher-Helm, A.

Sanchez-Mondragon, J. J.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Scheuer, J.

Segev, M.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Shadrivov, I. V.

Sibilia, C.

M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
[CrossRef]

Stegeman, G.

Stegeman, G. I.

P. Dumais, A. Villeneuve, A. Saher-Helm, J. S. Aitchison, L. Freidrich, R. A. Fuerst, and G. I. Stegeman, Opt. Lett. 25, 1282 (2000).
[CrossRef]

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Torner, L.

Torres-Cisneros, M.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Valley, G. C.

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Villeneuve, A.

Vysloukh, V.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Warenghem, M.

J. F. Henninot, M. Debailleul, and M. Warenghem, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631 (2002).
[CrossRef]

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Zharov, A. A.

Appl. Phys. Lett. (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

J. Opt. Soc. Am. B (3)

Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A (1)

J. F. Henninot, M. Debailleul, and M. Warenghem, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631 (2002).
[CrossRef]

Opt. Commun. (2)

M. Bertolotti, R. Li Voti, S. Marchetti, and C. Sibilia, Opt. Commun. 133, 578 (1997).
[CrossRef]

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Opt. Lett. (4)

Opt. Quantum Electron. (1)

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Phys. Rev. A (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Phys. Rev. Lett. (3)

M. Segev, G. C. Valley, B. Crosignani, P. D. Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

A. Dreischuh, D. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Science (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

(a) Sketch of a soliton of width Δ launched at an offset a in a square sample of cross section 2 d × 2 d . (b) Calculated longitudinal oscillation frequency of the soliton as a function of its optical power at various launch offsets; the curves are best fit to P tot . (c) Simulated oscillation under the experimental parameters of Fig. 2 (neglecting absorption) for a soliton launched off center. (d) Simulated oscillation, including absorption, for P = 10 W and 2 d = 0.4 mm .

Fig. 2
Fig. 2

Soliton steering arising from off-center launch. (a) Experimental scheme. (b) Photographs displaying the output displacement as a function of input offset. (c) Comparison between experimental and numerical results.

Fig. 3
Fig. 3

Soliton steering arising from unequal boundary temperatures. (a) Experimental scheme. (b) Photographs displaying the output displacement as a function of boundary temperature difference. (c) Comparison between experimental and analytical results.

Equations (6)

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

κ 2 T ( x , y , z ) = α I ( x , y , z ) ,
( x 2 + y 2 ) A + 2 i k z A + 2 k 2 ( Δ n n 0 ) A = 0 .
T ( x ) = α κ d X { d x I ( x ) d x } d x + c 1 x + c 0 α κ Q ( x ) + c 1 x + c 0 ,
T ( x ) [ α Q ( x ) ] κ + α [ ( d a ) P tot ] ( x + d ) 2 κ d + T 0 .
T x = ( α κ ) [ 0.5 P tot P ( x ) ] α P tot a ( 2 κ d ) .
2 ( a ) 2 z = ¯ n n 0 = β ( T x ) n 0 = β α P tot a ( n 0 κ 2 d ) Ω 2 a ,

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