Abstract

I investigate the formation of optical localized nonlinear structures, evolving upon a non-zero background plane wave in a dispersive quadratic medium. I 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.

© 2017 Optical Society of America

Two-color walking Peregrine solitary waves

Fabio Baronio, Shihua Chen, and Dumitru Mihalache
Opt. Lett. 42(18) 3514-3517 (2017)

Spatiotemporal doubly periodic waves in a phase-mismatched second-harmonic generation

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Opt. Lett. 47(21) 5680-5683 (2022)

Resonant radiation emitted by solitary waves via cascading in quadratic media

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Opt. Express 31(5) 8307-8324 (2023)

Spatiotemporal optical dark X solitary waves

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Quadratic Peregrine solitons resonantly radiating without higher-order dispersion

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