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

Automated summary

This article investigates the recurrent regime of depleted two-color modulational instability in second-harmonic generation in the cascading limit. A description based on simple algebraic formulas is validated, establishing the quantitative limit of validity for this approach. In the low mismatch regime, where this description breaks down, the system undergoes pseudo-stochastic alterations between two types of deterministic recurrence.