Collision, Fusion, and Spiralling of Interacting Solitons in a Bulk Quadratic Medium

  • V. V. Steblina
  • Y. S. Kivshar
  • A. V. Buryak
Part of the NATO Science Series book series (ASHT, volume 61)


We analyze interactions of (2+l)-dimensional parametric soli tons and demonstrate non-planar beam switching in a bulk χ(2) medium. This includes controllable soliton repulsion, spiralling, and fusion. Analytical model predicting results of the soliton scattering is also derived and verified by direct numerics.


Solitary Wave Nonlinear Phase Shift Soliton Interaction Soliton Collision Direct Numerical Modelling 
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  1. 1.
    See, e.g., F. Reynaud and A. Barthelemy, In: Guided Wave Nonlinear Optics, Eds. D.B. Ostrowsky and R. Reinisch (Kluwer, Dordrecht, 1992), p. 319.CrossRefGoogle Scholar
  2. 2.
    G.C. Duree et al., Phys. Rev. Lett. 71, 553 (1993); W.E. Torruellas et al. Phys. Rev. Lett. 74, 5036 (1995).Google Scholar
  3. 3.
    See, e.g., L. Poladian, A.W. Snyder, and D.J. Mitchell, Opt. Commun. 85, 59 (1991).Google Scholar
  4. 4.
    For a review, see G.I. Stegeman, D.J. Hagan, and L. Tomer, J. Opt. Quantum Electron. 28, 1691 (1996).Google Scholar
  5. 5.
    A.V. Buryak, Yu.S. Kivshar, and V.V. Steblina, Phys. Rev. A 52, 1670 (1995); V.V. Steblina et al., Opt. Commun. 118, 345 (1995).Google Scholar
  6. 6.
    A.V. Buryak, Yu.S. Kivshar, and S. Trillo, Phys. Rev. Lett. 77, 5210 (1996); A.V. Buryak and Yu.S. Kivshar, Phys. Rev. Lett. 78, 3286 (1997).Google Scholar
  7. 7.
    M.J. Werner, P.D. Drummond, J. Opt. Soc. Am. B10, 2390, (1993); D.M. Baboiu, G.I. Stegeman, L. Tomer, Opt. Lett. 20, 2282 (1995). 8. Y. Baek, R. Schiek, G.I. Stegeman, I. Baumann, and W. Sohler, Opt. Lett. 22(1997) in press.Google Scholar
  8. 9.
    G. Leo, G. Assanto, and W.E. Torruellas, Opt. Lett. 22, 7 (1997).Google Scholar
  9. 10.
    C. Clausen, O. Bang, and Yu. Kivshar, Phys. Rev. Lett. 78, 4749 (1997).Google Scholar
  10. 11.
    K. A. Gorshkov and L. A. Ostrovsky, Physica D 3, 428 (1981).Google Scholar
  11. 12.
    H. Goldstein, Classical Mechanics (Addison-Wesley, Massachusetts, 1980), Chap. 3.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • V. V. Steblina
    • 1
  • Y. S. Kivshar
    • 1
  • A. V. Buryak
    • 2
  1. 1.Australian Photonics Cooperative Research Centre, Optical Sciences Centre, Research School of Physical Sciences and EngineeringAustralian National UniversityCanberra ACTAustralia
  2. 2.School of Mathematics and StatisticsAustralian Defence Force AcademyCanberra ACTAustralia

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