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Few-cycle solitons in supercontinuum generation dynamics

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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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Authors and Affiliations

  1. LUNAM Université, Université d’Angers, Laboratoire de Photonique d’Angers, EA 4464, 2 Boulevard Lavoisier, F-49045, Angers Cedex 01, France

    Hervé Leblond

  2. Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS, Université Bourgogne Franche-Comté, 9 avenue A. Savary, BP 47870, F-21078, Dijon Cedex, France

    Philippe Grelu

  3. Horia Hulubei National Institute for Physics and Nuclear Engineering, 30 Reactorului, Magurele, 077125, Bucharest, Romania

    Dumitru Mihalache

  4. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094, Bucharest, Romania

    Dumitru Mihalache

  5. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000, Annaba, Algeria

    Houria Triki

Authors
  1. Hervé Leblond
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  2. Philippe Grelu
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  3. Dumitru Mihalache
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  4. Houria Triki
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Correspondence to Hervé Leblond.

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Leblond, H., Grelu, P., Mihalache, D. et al. Few-cycle solitons in supercontinuum generation dynamics. Eur. Phys. J. Spec. Top. 225, 2435–2451 (2016). https://doi.org/10.1140/epjst/e2016-60020-x

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  • DOI: https://doi.org/10.1140/epjst/e2016-60020-x

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