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  Spatial Solitons and Their Interaction
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Left: a two-component vortex soliton,
Right: a dipole-mode vector soliton.

One of the most important research highlights of 2000 is the prediction of a new object in the nonlinear physics, a dipole-mode vector soliton. This is a composite optical beam that carries a dipole momentum and can be understood either as a Hermite-Gaussian guided mode trapped by a soliton-induced waveguide or as a bound state of two simpler solitary waves in a bulk medium, the so-called "molecule of light". This and other, more complicated and intriguing objects have been predicted and demonstrated experimentally (in collaboration with a team of the Laser Physics Centre), including quadrupole vector solitons and "necklace" beams. This topic attracted a great interest of other groups with almost simultaneous experimental verifications done at Princeton (USA) and Technion (Israel). Our results gained several invitations for the major research meetings in optics (Nonlinear Optics OSA Topical Meeting, OSA Annual Meeting, SPIE Symposium on Beam and Pulse Propagation, NATO Summer School, etc), and were also presented as a post-deadline paper at CLEO/Europe (Nice).

Other advances in the theory of spatial optical solitons include the rigorous stability analysis of multi-parameter solitary waves [ Phys. Rev. E 62, 8668 (2000) ], the comprehensive overview of the transverse and modulational instabilities of solitary waves [ Phys. Rep. 331, 117 (2000) ], the study of both linear and nonlinear properties of the vortex-induced waveguides [ Opt. Lett. 25, 660 (2000) ], analysis of solitons in photonic crystals, etc.

Collision of a dipole-mode soliton ("a molecule of light") with a scalar soliton.

Experimental results demonstrating (a,b) the formation of a dipole-mode soliton, and (c,d) its collision with a scalar soliton and the linear to angular momentum transfer.

Selected Publications on Spatial Solitons

The articles are Copyright © by the respective publishers, and may be downloaded for personal use only. Any other use requires prior permission of the author and the respective publisher.

  1. Multicomponent dipole-mode spatial solitons
    A. S. Desyatnikov, Yu. S. Kivshar, K. Motzek, F. Kaiser, C. Weilnau, and C. Denz,
    Opt. Lett. 27, 634-636 (2002).
    [Abstract] [Full-text PDF (382 Kb)] [Online]

  2. Spatial optical solitons and soliton clusters carrying an angular momentum
    A. S. Desyatnikov and Yu. S. Kivshar,
    J. Opt. B: Quantum Semicl. Opt. 4, S58-S65 (2002).
    [Abstract] [Full-text PDF (460 Kb)]

  3. Multipole composite spatial solitons: theory and experiment
    A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Yu. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies,
    J. Opt. Soc. Am. B 19, 586-595 (2002).
    [Abstract] [Full-text PDF (755 Kb)] [Online]

  4. Rotating optical soliton clusters
    A. S. Desyatnikov and Yu. S. Kivshar,
    Phys. Rev. Lett. 88, 053901-4 (2002).
    [Abstract] [Full-text PDF (441 Kb)] [Online]

  5. Spatial optical solitons: Guiding light for future technologies
    Yu. S. Kivshar and G. I. Stegeman,
    Opt. Photon. News 13, 59-63 (2002).
    [Abstract] [Full-text PDF (1.4 Mb)]

  6. Transverse instability of vector solitons and generation of dipole arrays
    D. Neshev, W. Krolikowski, D. E. Pelinovsky, G. McCarthy, and Yu. S. Kivshar,
    Phys. Rev. Lett. 87, 103903-4 (2001).
    [Abstract] [Full-text PDF (407 Kb)] [Online]

  7. Photorefractive materials and solitons
    W. Krolikowski, B. Luther-Davies, and Y. Kivshar,
    Opto-Electron. Rev. 9, 287-292 (2001).
    [Abstract]

  8. Dipole-mode vector solitons in anisotropic nonlocal self-focusing media
    D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez,
    Opt. Lett. 26, 1185-1187 (2001).
    [Abstract] [Full-text PDF (284 Kb)] [Online]

  9. Necklace-ring vector solitons
    A. S. Desyatnikov and Yu. S. Kivshar,
    Phys. Rev. Lett. 87, 033901-4 (2001).
    [Abstract] [Full-text PDF (377 Kb)] [Online]

  10. Composite spatial solitons in a saturable nonlinear bulk medium
    C. Weilnau,
    W. Krolikowski, E. A. Ostrovskaya, M. Ahles, M. Geisser, G. McCarthy, C. Denz, Yu. S. Kivshar, and B. Luther-Davies,
    Appl. Phys. B 72, 723-727 (2001).
    [Abstract] [Full-text PDF (158 Kb)]

  11. Multipole spatial vector solitons
    A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Yu. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. Garcia-Ripoll, and V. M. Perez-Garcia,
    Opt. Lett. 26, 435-437 (2001).
    [Abstract] [Full-text PDF (236 Kb)] [Online]

  12. Gray spatial solitons in biased photorefractive media
    A. G. Grandpierre, D. N. Christodoulides, T. H. Coskun,
    M. Segev, and Yu. S. Kivshar,
    J. Opt. Soc. Am. B 18, 55-63 (2001).
    [Abstract] [Full-text PDF (216 Kb)] [Online]

  13. Multi-component optical solitary waves
    Yu. S. Kivshar, A. A. Sukhorukov, E. A. Ostrovskaya, T. J. Alexander, O. Bang, S. M. Saltiel, C. B. Clausen, and P. L. Christiansen,
    Physica A 288, 152-173 (2000).
    [Abstract] [Full-text PDF (386 Kb)]

  14. Stability criterion for multicomponent solitary waves
    D. E. Pelinovsky and Yu. S. Kivshar,
    Phys. Rev. E 62, 8668-8676 (2000).
    [Abstract] [Full-text PDF (148 Kb)] [Online]

  15. Observation of dipole-mode vector solitons
    W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Yu. S. Kivshar, C. Denz, and B. Luther-Davies,
    Phys. Rev. Lett. 85, 1424-1427 (2000).
    [Abstract] [Full-text PDF (374 Kb)] [Online]

  16. Dipole-mode vector solitons
    J. J. Garcia-Ripoll, V. M. Perez-Garcia,
    E. A. Ostrovskaya, and Yu. S. Kivshar,
    Phys. Rev. Lett. 85, 82-85 (2000).
    [Abstract] [Full-text PDF (192 Kb)] [Online]

  17. Self-focusing and transverse instabilities of solitary waves
    Yu. S. Kivshar and D. E. Pelinovsky,
    Phys. Rep. 331, 117-195 (2000).
    [Abstract] [Full-text PDF (1.4 Mb)]

  18. Vector solitons in (2+1) dimensions
    J. N. Malmberg, A. H. Carlsson, D. Anderson, M. Lisak,
    E. A. Ostrovskaya, and Yu. S. Kivshar,
    Opt. Lett. 25, 643-645 (2000).
    [Abstract] [Full-text PDF (105 Kb)] [Online]

  19. Observation of bound states of interacting vector solitons
    Z. G. Chen, M. Acks,
    E. A. Ostrovskaya, and Yu. S. Kivshar,
    Opt. Lett. 25, 417-419 (2000).
    [Abstract] [Full-text PDF (646 Kb)] [Online]

  20. Stability of multihump optical solitons
    E. A. Ostrovskaya, Yu. S. Kivshar, D. V. Skryabin, and W. J. Firth,
    Phys. Rev. Lett. 83, 296-299 (1999).
    [Abstract] [Full-text PDF (165 Kb)] [Online]

  21. Interaction between vector solitons and solitonic gluons
    E. A. Ostrovskaya, Yu. S. Kivshar, Z. G. Chen, and M. Segev,
    Opt. Lett. 24, 327-329 (1999).
    [Abstract] [Full-text PDF (2 Mb)] [Online]

  22. Multi-hump optical solitons in a saturable medium
    E. A. Ostrovskaya and Yu. S. Kivshar,
    J. Opt. B: Quantum Semicl. Opt. 1, 77-83 (1999).
    [Abstract] [Full-text PDF (753 Kb)]

  23. Induced coherence and stable soliton spiraling
    A. V. Buryak, Yu. S. Kivshar, M. F. Shih, and M. Segev,
    Phys. Rev. Lett. 82, 81-84 (1999).
    [Abstract] [Full-text PDF (712 Kb)] [Online]

  24. Bright and dark spatial solitons in non-Kerr media
    Yu. S. Kivshar,
    Opt. Quantum Electron. 30, 571-614 (1998).
    [Abstract] [Full-text PDF (428 Kb)]

  25. Nonlinear theory of soliton-induced waveguides
    E. A. Ostrovskaya and Yu. S. Kivshar,
    Opt. Lett. 23, 1268-1270 (1998).
    [Abstract] [Full-text PDF (323 Kb)] [Online]

  26. Dark optical solitons: physics and applications
    Yu. S. Kivshar and B. Luther-Davies,
    Phys. Rep. 298, 81-197 (1998).
    [Abstract] [Full-text PDF (1.7 Mb)]

  27. Coupled photorefractive spatial-soliton pairs
    Z. G. Chen,
    M. Segev, T. H. Coskun, D. N. Christodoulides, and Yu. S. Kivshar,
    J. Opt. Soc. Am. B 14, 3066-3077 (1997).
    [Abstract] [Full-text PDF (1.8 Mb)] [Online]

  28. other group publications...
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