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

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.

arXiv comment14 pages, 4 figures

References in corpus (13)

• Instabilities, breathers and rogue waves in optics
• Deterministic Vector Freak Waves
• Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation
• A generating mechanism for higher order rogue waves
• Looking at a soliton through the prism of optical supercontinuum
• On the nonlinear stage of Modulation Instability
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• Optical Rogue Waves in integrable turbulence
• The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation
• Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
• Rogue waves of the Hirota and the Maxwell-Bloch equations
• Rogue waves of the Fokas-Lenells equation
• Theoretical and experimental evidence of non-symmetric doubly localized rogue waves

Cited by in corpus (7)

• Periodic and rational solutions of the reduced Maxwell-Bloch equations
• The Mechanism of Kuznetsov-Ma Breather
• The height of an $n$th-order fundamental rogue wave for the nonlinear Schrödinger equation
• Optical rogue waves and W-shaped solitons in the multiple self-induced transparency system
• Inverse scattering transform for two-level systems with nonzero background
• Resonant optical pulses on a continuous wave background in two-level active media
• The three-level coupled Maxwell-Bloch equations: rogue waves, semirational rogue waves and W-shaped solitons