Akhmediev Breathers and Peregrine Solitary Waves in a Quadratic Medium

Abstract

We investigate the formation of optical localized nonlinear structures, evolving upon a non-zero background plane wave, in a dispersive quadratic medium. We show the existence of quadratic Akhmediev breathers and Peregrine solitary waves, in the regime of cascading second-harmonic generation. This finding opens a novel path for the excitation of extreme rogue waves and for the description of modulation instability in quadratic nonlinear optics.

References in corpus (2)

• Instabilities, breathers and rogue waves in optics
• Nonlocal explanation of stationary and nonstationary regimes in cascaded soliton pulse compression

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