Fabio Baronio

Abstract We address the recurrent regime of depleted two-color modulational instability in second-harmonic generation in the cascading limit. We validate a description based on simple algebraic formulas, based on asymptotic matching, establishing quantitatively the limit of validity of this approach. In the low mismatch regime, where such description breaks down, the system is found to undergo pseudo-stochastic alterations between two types of deterministic recurrence.

Abstract We show that two-color Peregrine solitary waves in quadratic nonlinear media can resonantly radiate dispersive waves even in the absence of higher-order dispersion, owing to a phase-matching mechanism that involves the weaker second-harmonic component. We give very simple criteria for calculating the radiated frequencies in terms of material parameters, finding excellent agreement with numerical simulations. © 2022 Optica Publishing Group Full Article  | PDF Article More Like This

Abstract We investigate the phenomenon of resonant radiation emitted by Peregrine solitons. We show that, unlike bright or dark solitons of the nonlinear Schrödinger equation, the radiation process is affected by the intrinsic local longitudinal variation of the soliton wavenumber. We give a phase-matching condition that allows the prediction of the multiple spectral peaks of the resonant radiation.