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Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation

Alexey Tikan, Cyril Billet, Gennady El, Alexander Tovbis, Marco Bertola, Thibaut Sylvestre, Francois Gustave, Stephane Randoux, Goëry Genty, Pierre Suret, and John M. Dudley
Phys. Rev. Lett. 119, 033901 – Published 18 July 2017
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Abstract

We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semiclassical limit of the focusing nonlinear Schrödinger equation. Using an optical fiber based system, measurements of temporal focusing of high power pulses reveal both intensity and phase signatures of the Peregrine soliton during the initial nonlinear evolution stage. Experimental and numerical results are in very good agreement, and show that the universal mechanism that yields the Peregrine soliton structure is highly robust and can be observed over a broad range of parameters.

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  • Received 29 January 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.033901

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNonlinear Dynamics

Authors & Affiliations

Alexey Tikan1,2, Cyril Billet3, Gennady El4, Alexander Tovbis5, Marco Bertola6,7, Thibaut Sylvestre3, Francois Gustave1,2, Stephane Randoux1,2, Goëry Genty8, Pierre Suret1,2, and John M. Dudley3,*

  • 1Laboratoire de Physique des Lasers, Atomes et Molecules, UMR-CNRS 8523, Université de Lille, France
  • 2Centre d’Etudes et de Recherches Lasers et Applications (CERLA), 59655 Villeneuve d’Ascq, France
  • 3Institut FEMTO-ST, CNRS Université Bourgogne-Franche-Comté UMR 6174, 25030 Besançon, France
  • 4Centre for Nonlinear Mathematics and Applications, Loughborough University, Department of Mathematical Sciences, Loughborough, LE11 3TU, United Kingdom
  • 5Department of Mathematics, University of Central Florida, Orlando, Florida, 32816, USA
  • 6Department of Mathematics, Concordia University, H3G 1M8, Montreal, Canada
  • 7SISSA, Area of Mathematics, 34136 Trieste, Italy
  • 8Tampere University of Technology, Department of Physics, Optics Laboratory, FI-33101 Tampere, Finland

  • *john.dudley@univ-fcomte.fr

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Issue

Vol. 119, Iss. 3 — 21 July 2017

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