Abstract

We study the extreme localization of light, evolving upon a non-zero background, in two-color parametric wave interaction in nonlinear quadratic media. We report the existence of quadratic Peregrine solitary waves, in the presence of significant group-velocity mismatch between the waves (or Poynting vector beam walk-off), in the regime of cascading second-harmonic generation. This finding opens a novel path for the experimental demonstration of extreme rogue waves in ultrafast quadratic nonlinear optics.

© 2017 Optical Society of America

Akhmediev breathers and Peregrine solitary waves in a quadratic medium

Fabio Baronio
Opt. Lett. 42(9) 1756-1759 (2017)

Spatiotemporal optical dark X solitary waves

Fabio Baronio, Shihua Chen, Miguel Onorato, Stefano Trillo, Stefan Wabnitz, and Yuji Kodama
Opt. Lett. 41(23) 5571-5574 (2016)

Quadratic Peregrine solitons resonantly radiating without higher-order dispersion

Lili Bu, Fabio Baronio, Shihua Chen, and Stefano Trillo
Opt. Lett. 47(10) 2370-2373 (2022)

Resonant radiation emitted by solitary waves via cascading in quadratic media

Lili Bu, Shihua Chen, Fabio Baronio, and Stefano Trillo
Opt. Express 31(5) 8307-8324 (2023)

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

Zhixiang Deng, Jin Zhang, Dianyuan Fan, and Lifu Zhang
Opt. Lett. 47(21) 5680-5683 (2022)