The European Physical Journal Special Topics

, Volume 225, Issue 13–14, pp 2435–2451 | Cite as

Few-cycle solitons in supercontinuum generation dynamics

  • Hervé Leblond
  • Philippe Grelu
  • Dumitru Mihalache
  • Houria Triki
Review Review articles
Part of the following topical collections:
  1. Temporal and Spatio-Temporal Dynamic Instabilities: Novel Computational and Experimental Approaches

Abstract

We review several propagation models that do not rely on the slowly-varying-envelope approximation (SVEA), and can thus be considered as fundamental models addressing the formation and propagation of few-cycle pulsed field structures and solitary waves arising in the course of intense ultrashort optical pulse evolution in nonlinear media and beyond octave-bandwidth optical spectrum broadening. These generic models are: the modified-Korteweg-de Vries (mKdV), the sine-Gordon (sG), and the mixed mKdV-sG equations. To include wave polarization dynamics, the vector extensions of both mKdV and sG equations are introduced. Multi-octave-spanning supercontinuum generation and few-cycle soliton structures are highlighted from numerical simulations.

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Copyright information

© EDP Sciences and Springer 2016

Authors and Affiliations

  • Hervé Leblond
    • 1
  • Philippe Grelu
    • 2
  • Dumitru Mihalache
    • 3
    • 4
  • Houria Triki
    • 5
  1. 1.LUNAM Université, Université d’Angers, Laboratoire de Photonique d’AngersAngers Cedex 01France
  2. 2.Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS, Université Bourgogne Franche-ComtéDijon CedexFrance
  3. 3.Horia Hulubei National Institute for Physics and Nuclear EngineeringBucharestRomania
  4. 4.Academy of Romanian ScientistsBucharestRomania
  5. 5.Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar UniversityAnnabaAlgeria

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