Abstract

We observe attraction, repulsion and energy exchange between two self-trapped beams in a heavy-metal-oxide glass exhibiting a Kerr-like response with multiphoton absorption. The coherent interaction between spatial solitons is controlled by their relative phase and modelled by a nonlinear dissipative Schrödinger equation.

© 2009 OSA

Full Article  |  PDF Article
Related Articles
Anisotropic interaction of three-dimensional spatial screening solitons

A. Stepken, F. Kaiser, and M. R. Belić
J. Opt. Soc. Am. B 17(1) 68-77 (2000)

Observation of bound states of interacting vector solitons

Zhigang Chen, Michelle Acks, Elena A. Ostrovskaya, and Yuri S. Kivshar
Opt. Lett. 25(6) 417-419 (2000)

Spatial optical solitons in planar glass waveguides

J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, and P. W. E. Smith
J. Opt. Soc. Am. B 8(6) 1290-1297 (1991)

References

  • View by:
  • |
  • |
  • |

  1. R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).
    [Crossref]
  2. P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).
    [Crossref]
  3. A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, “Self-induced optical fibers: spatial solitary waves,” Opt. Lett. 16(1), 21–23 (1991).
    [Crossref] [PubMed]
  4. N. N. Akhmediev, and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman Hall, London, 1997).
  5. G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286(5444), 1518–1523 (1999).
    [Crossref] [PubMed]
  6. Y. S. Kivshar, and G. P. Agrawal, Optical Solitons (Academic Press, San Diego, 2003).
  7. C. Conti, and G. Assanto, “Nonlinear Optics Applications: Bright Spatial Solitons”, in Encyclopaedia of Modern Optics, eds. R. D. Guenther, D. G. Steel and L. Bayvel, vol. 5 (Elsevier, Oxford, 2004).
  8. M. Shalaby and A. Barthelemy, “Experimental spatial soliton trapping and switching,” Opt. Lett. 16(19), 1472 (1991).
    [Crossref] [PubMed]
  9. P. V. Mamyshev, A. Villeneuve, G. I. Stegeman, and J. S. Aitchison, “Steerable optical waveguides formed by bright spatial solitons in AlGaAs,” Electron. Lett. 30(9), 726 (1994).
    [Crossref]
  10. W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
    [Crossref]
  11. G. Leo and G. Assanto, “Phase- and polarization-insensitive all-optical switching by self-guiding in quadratic media,” Opt. Lett. 22(18), 1391–1393 (1997).
    [Crossref]
  12. L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, “Dynamic, electronically controlled angle steering of spatial solitons in AlGaAs slab waveguides,” Opt. Lett. 23(18), 1438–1440 (1998).
    [Crossref]
  13. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
    [Crossref]
  14. G. Assanto and M. Peccianti, “Routing light at will,” J. Nonlinear Opt. Phys. Mater. 16(1), 37–48 (2007).
    [Crossref]
  15. J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. E. Smith, “Experimental observation of spatial soliton interactions,” Opt. Lett. 16(1), 15–17 (1991).
    [Crossref] [PubMed]
  16. M. Shalaby, F. Reynaud, and A. Barthelemy, “Experimental observation of spatial soliton interactions with a π/2 relative phase difference,” Opt. Lett. 17(11), 778–780 (1992).
    [Crossref] [PubMed]
  17. J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21(3), 189–191 (1996).
    [Crossref] [PubMed]
  18. V. Tikhonenko, J. Christou, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in a saturable Nonlinear Medium,” Phys. Rev. Lett. 76(15), 2698–2701 (1996).
    [Crossref] [PubMed]
  19. G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22(1), 7–9 (1997).
    [Crossref] [PubMed]
  20. B. Costantini, C. De Angelis, A. Barthelemy, A. Laureti Palma, and G. Assanto, “Polarization multiplexed χ(2) solitary waves interactions,” Opt. Lett. 22(18), 1376–1378 (1997).
    [Crossref]
  21. Y. Baek, R. Schiek, G. I. Stegeman, I. Baumann, and W. Sohler, “Interactions between one-dimensional quadratic solitons,” Opt. Lett. 22(20), 1550–1552 (1997).
    [Crossref]
  22. M. Peccianti, K. A. Brzdkiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27(16), 1460–1462 (2002).
    [Crossref]
  23. C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
    [Crossref]
  24. A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
    [Crossref] [PubMed]
  25. E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Coherent interactions of dissipative spatial solitons,” Opt. Lett. 29(3), 283–285 (2004).
    [Crossref] [PubMed]
  26. T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
    [Crossref] [PubMed]
  27. A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32(11), 1447–1449 (2007).
    [Crossref] [PubMed]
  28. J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
    [Crossref]
  29. A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
    [Crossref] [PubMed]
  30. A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
    [Crossref]
  31. E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
    [Crossref] [PubMed]
  32. N. Akhmediev, and A. Ankiewicz, Dissipative Solitons (Springer, New York, 2005).
  33. G. Fibich and A. L. Gaeta, “Critical power for self-focusing in bulk media and in hollow waveguides,” Opt. Lett. 25(5), 335–337 (2000).
    [Crossref]

2008 (1)

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

2007 (4)

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32(11), 1447–1449 (2007).
[Crossref] [PubMed]

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

G. Assanto and M. Peccianti, “Routing light at will,” J. Nonlinear Opt. Phys. Mater. 16(1), 37–48 (2007).
[Crossref]

2006 (1)

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

2005 (1)

T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
[Crossref] [PubMed]

2004 (2)

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
[Crossref] [PubMed]

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Coherent interactions of dissipative spatial solitons,” Opt. Lett. 29(3), 283–285 (2004).
[Crossref] [PubMed]

2002 (2)

M. Peccianti, K. A. Brzdkiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27(16), 1460–1462 (2002).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

2000 (1)

1999 (1)

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286(5444), 1518–1523 (1999).
[Crossref] [PubMed]

1998 (1)

1997 (4)

1996 (3)

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
[Crossref]

J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21(3), 189–191 (1996).
[Crossref] [PubMed]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in a saturable Nonlinear Medium,” Phys. Rev. Lett. 76(15), 2698–2701 (1996).
[Crossref] [PubMed]

1994 (2)

P. V. Mamyshev, A. Villeneuve, G. I. Stegeman, and J. S. Aitchison, “Steerable optical waveguides formed by bright spatial solitons in AlGaAs,” Electron. Lett. 30(9), 726 (1994).
[Crossref]

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

1992 (1)

1991 (3)

1965 (1)

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).
[Crossref]

1964 (1)

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).
[Crossref]

Afonso, C. N.

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

Aitchison, J. S.

Alfassi, B.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

Anderson, D.

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Assanto, G.

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

G. Assanto and M. Peccianti, “Routing light at will,” J. Nonlinear Opt. Phys. Mater. 16(1), 37–48 (2007).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32(11), 1447–1449 (2007).
[Crossref] [PubMed]

M. Peccianti, K. A. Brzdkiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27(16), 1460–1462 (2002).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22(1), 7–9 (1997).
[Crossref] [PubMed]

G. Leo and G. Assanto, “Phase- and polarization-insensitive all-optical switching by self-guiding in quadratic media,” Opt. Lett. 22(18), 1391–1393 (1997).
[Crossref]

B. Costantini, C. De Angelis, A. Barthelemy, A. Laureti Palma, and G. Assanto, “Polarization multiplexed χ(2) solitary waves interactions,” Opt. Lett. 22(18), 1376–1378 (1997).
[Crossref]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
[Crossref]

Baek, Y.

Barthelemy, A.

Baumann, I.

Brzdkiewicz, K. A.

Chiao, R. Y.

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).
[Crossref]

Christou, J.

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in a saturable Nonlinear Medium,” Phys. Rev. Lett. 76(15), 2698–2701 (1996).
[Crossref] [PubMed]

Cohen, O.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

Costantini, B.

De Angelis, C.

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

Di Trapani, P.

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
[Crossref] [PubMed]

Dubietis, A.

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
[Crossref] [PubMed]

Fernandez, H.

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

Fernandez-Navarro, J. M.

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

Fibich, G.

Fierro, J. L. G.

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

Fratalocchi, A.

Friedrich, L.

Fuerst, R. A.

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
[Crossref]

Gaeta, A. L.

Gaizauskas, E.

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
[Crossref] [PubMed]

Garmire, E.

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).
[Crossref]

Gonzalo, J.

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

Hamilton, C. J.

Jackel, J. L.

Kang, J. U.

Kelley, P. L.

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).
[Crossref]

Kivshar, Y. S.

T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
[Crossref] [PubMed]

Korytin, A. I.

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Ku, T.-S.

T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
[Crossref] [PubMed]

Ladouceur, F.

Lange, C. H.

Laureti Palma, A.

Lawrence, B. L.

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
[Crossref]

Leaird, D. E.

Lederer, F.

Leo, G.

Lisak, M.

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Luther-Davies, B.

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in a saturable Nonlinear Medium,” Phys. Rev. Lett. 76(15), 2698–2701 (1996).
[Crossref] [PubMed]

Mamyshev, P. V.

P. V. Mamyshev, A. Villeneuve, G. I. Stegeman, and J. S. Aitchison, “Steerable optical waveguides formed by bright spatial solitons in AlGaAs,” Electron. Lett. 30(9), 726 (1994).
[Crossref]

Millar, P.

Mitchell, D. J.

Munoz-Martin, D.

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

Oliver, M. K.

Pasquazi, A.

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

Peccianti, M.

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32(11), 1447–1449 (2007).
[Crossref] [PubMed]

G. Assanto and M. Peccianti, “Routing light at will,” J. Nonlinear Opt. Phys. Mater. 16(1), 37–48 (2007).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

M. Peccianti, K. A. Brzdkiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27(16), 1460–1462 (2002).
[Crossref]

Piccardi, A.

Poladian, L.

Reynaud, F.

Rotschild, C.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

Schiek, R.

Segev, M.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286(5444), 1518–1523 (1999).
[Crossref] [PubMed]

Sergeev, A. M.

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Shalaby, M.

Shih, M.-F.

T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
[Crossref] [PubMed]

Silberberg, Y.

Smith, P. W. E.

Snyder, A. W.

Sohler, W.

Solis, J.

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

Stegeman, G. I.

Stivala, S.

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

Sukhorukov, A. A.

T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
[Crossref] [PubMed]

Tamosauskas, G.

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
[Crossref] [PubMed]

Tikhonenko, V.

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in a saturable Nonlinear Medium,” Phys. Rev. Lett. 76(15), 2698–2701 (1996).
[Crossref] [PubMed]

Torruellas, W. E.

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22(1), 7–9 (1997).
[Crossref] [PubMed]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
[Crossref]

Townes, C. H.

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).
[Crossref]

Ultanir, E. A.

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

Vanin, E. V.

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Vázquez, L.

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Villeneuve, A.

P. V. Mamyshev, A. Villeneuve, G. I. Stegeman, and J. S. Aitchison, “Steerable optical waveguides formed by bright spatial solitons in AlGaAs,” Electron. Lett. 30(9), 726 (1994).
[Crossref]

Weiner, A. M.

Appl. Phys. Lett. (3)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals,” Appl. Phys. Lett. 81(18), 3335–3337 (2002).
[Crossref]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68(11), 1449–1451 (1996).
[Crossref]

J. Gonzalo, H. Fernandez, J. Solis, D. Munoz-Martin, J. M. Fernandez-Navarro, C. N. Afonso, and J. L. G. Fierro, “Enhanced nonlinear optical properties of oxygen deficient lead-niobium-germanate film glasses,” Appl. Phys. Lett. 90(25), 251907 (2007).
[Crossref]

Electron. Lett. (1)

P. V. Mamyshev, A. Villeneuve, G. I. Stegeman, and J. S. Aitchison, “Steerable optical waveguides formed by bright spatial solitons in AlGaAs,” Electron. Lett. 30(9), 726 (1994).
[Crossref]

J. Nonlinear Opt. Phys. Mater. (1)

G. Assanto and M. Peccianti, “Routing light at will,” J. Nonlinear Opt. Phys. Mater. 16(1), 37–48 (2007).
[Crossref]

Nat. Phys. (1)

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long range interactions between spatial solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

Opt. Lett. (15)

G. Leo and G. Assanto, “Phase- and polarization-insensitive all-optical switching by self-guiding in quadratic media,” Opt. Lett. 22(18), 1391–1393 (1997).
[Crossref]

L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, “Dynamic, electronically controlled angle steering of spatial solitons in AlGaAs slab waveguides,” Opt. Lett. 23(18), 1438–1440 (1998).
[Crossref]

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, J. Solis, and C. N. Afonso, “Near-infrared spatial solitons in heavy metal oxide glasses,” Opt. Lett. 32(15), 2103–2105 (2007).
[Crossref] [PubMed]

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Coherent interactions of dissipative spatial solitons,” Opt. Lett. 29(3), 283–285 (2004).
[Crossref] [PubMed]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32(11), 1447–1449 (2007).
[Crossref] [PubMed]

G. Fibich and A. L. Gaeta, “Critical power for self-focusing in bulk media and in hollow waveguides,” Opt. Lett. 25(5), 335–337 (2000).
[Crossref]

J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. E. Smith, “Experimental observation of spatial soliton interactions,” Opt. Lett. 16(1), 15–17 (1991).
[Crossref] [PubMed]

M. Shalaby, F. Reynaud, and A. Barthelemy, “Experimental observation of spatial soliton interactions with a π/2 relative phase difference,” Opt. Lett. 17(11), 778–780 (1992).
[Crossref] [PubMed]

J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21(3), 189–191 (1996).
[Crossref] [PubMed]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22(1), 7–9 (1997).
[Crossref] [PubMed]

B. Costantini, C. De Angelis, A. Barthelemy, A. Laureti Palma, and G. Assanto, “Polarization multiplexed χ(2) solitary waves interactions,” Opt. Lett. 22(18), 1376–1378 (1997).
[Crossref]

Y. Baek, R. Schiek, G. I. Stegeman, I. Baumann, and W. Sohler, “Interactions between one-dimensional quadratic solitons,” Opt. Lett. 22(20), 1550–1552 (1997).
[Crossref]

M. Peccianti, K. A. Brzdkiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27(16), 1460–1462 (2002).
[Crossref]

M. Shalaby and A. Barthelemy, “Experimental spatial soliton trapping and switching,” Opt. Lett. 16(19), 1472 (1991).
[Crossref] [PubMed]

A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, “Self-induced optical fibers: spatial solitary waves,” Opt. Lett. 16(1), 21–23 (1991).
[Crossref] [PubMed]

Phys. Rev. A (2)

A. Pasquazi, S. Stivala, G. Assanto, J. Gonzalo, and J. Solis, “Transverse nonlinear optics in heavy metal oxide glass,” Phys. Rev. A 77(4), 043808 (2008).
[Crossref]

E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vázquez, “Dissipative optical solitons,” Phys. Rev. A 49(4), 2806–2811 (1994).
[Crossref] [PubMed]

Phys. Rev. Lett. (5)

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, “Light filaments without self-channeling,” Phys. Rev. Lett. 92(25), 253903 (2004).
[Crossref] [PubMed]

T.-S. Ku, M.-F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, “Coherence controlled soliton interactions,” Phys. Rev. Lett. 94(6), 063904 (2005).
[Crossref] [PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).
[Crossref]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).
[Crossref]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in a saturable Nonlinear Medium,” Phys. Rev. Lett. 76(15), 2698–2701 (1996).
[Crossref] [PubMed]

Science (1)

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286(5444), 1518–1523 (1999).
[Crossref] [PubMed]

Other (4)

Y. S. Kivshar, and G. P. Agrawal, Optical Solitons (Academic Press, San Diego, 2003).

C. Conti, and G. Assanto, “Nonlinear Optics Applications: Bright Spatial Solitons”, in Encyclopaedia of Modern Optics, eds. R. D. Guenther, D. G. Steel and L. Bayvel, vol. 5 (Elsevier, Oxford, 2004).

N. N. Akhmediev, and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman Hall, London, 1997).

N. Akhmediev, and A. Ankiewicz, Dissipative Solitons (Springer, New York, 2005).

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 (6)

Fig. 1
Fig. 1

Nonlinear beam propagation in a 5.75mm-long sample of HMO: input (leftmost photograph) and output beam profiles for input peak power P<PCR (linear diffraction at 0.1μJ, power P≈PCR (self-trapping at 3.2 μJ), power P>PCR (beam reshaping at 4 μJ).

Fig. 2
Fig. 2

HMO transmission versus input energy/pulse for a single beam excitation. Symbols and error bars refer to data and the solid line is a fit based on Eq. (1) and the parameters indicated in the text.

Fig. 3
Fig. 3

Attraction of in-phase 3.2μJ self-trapped beams for a 40μm initial separation. (a) CCD-acquired and (b) numerically simulated output profiles of individual (first two rows) and interacting solitons (bottom); (c) Corresponding measured and calculated transverse profiles along x; (d) simulated evolution of the two solitons in the plane xz. (e) Simulated evolution of in-phase self-trapped beams for 70μm initial separation, 3.2μJ excitation and propagation over 5cm: the merging generates a single self trapped beam with no sidelobes.

Fig. 4
Fig. 4

Repulsion of π out-of-phase self-trapped beams excited by 3.2μJ pulses for 40μm initial separation. (a) CCD-acquired and (b) numerically simulated output profiles of individual (first two rows) and interacting solitons (bottom); (c) Corresponding measured and calculated transverse profiles along x; (d) simulated evolution of the two solitons in the plane xz of propagation.

Fig. 5
Fig. 5

HMO transmission versus input energy/pulse for two identical interacting beams with relative phase φ = 0 and φ = π, respectively. Symbols are data and lines are fits based on Eq. (1).

Fig. 6
Fig. 6

Energy exchange between self-trapped beams excited by 3.2μJ pulses and launched in-quadrature with a 40μm separation. (a) CCD-acquired and (b) numerically simulated output profiles of individual (first two rows) and interacting solitons out of phase by π/2 (third row) or 3π/2 (last row); (c) Corresponding measured and calculated transverse profiles along x. Simulated evolution in the plane xz for solitons out of phase by (d) π/2 and (e) 3π/2.

Equations (1)

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

2ikAz+2A+n2k2η0|A|2A+ikβ3(n02η0)2|A|3A=0

Metrics