From regular to pseudo-stochastic recurrence of modulation instability in cascaded second-harmonic generation

We address the recurrent regime of depleted two-color mod-ulational instability in second-harmonic generation in the cascading limit. We validate a description based on simple algebraic formulas, based on asymptotic matching, estab-lishing 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.(c) 2023 Optica Publishing Group