Coherence and incoherence in extended broad band triplet interaction

TL;DR

This paper investigates the transition from coherent to incoherent dynamics in broad band wave triplet interactions, focusing on how active selection rules influence coherence in large mode bands.

Contribution

It extends previous analyses by exploring the effects of active selection rules on coherence in broad band triplet wave interactions with larger mode bands.

Findings

Active selection rules significantly affect coherence.

Transition points between coherence and incoherence are identified.

The role of mode band size in dynamics is clarified.

Abstract

In the present analysis we study the transition from coherent to incoherent dynamics in a nonlinear triplet of broad band combs of waves. Expanding the analysis of previous works, this paper investigates what happens when the band of available modes is much larger than that of the initial narrower combs within which the nonlinear interaction is not subjected to selection rules involving wave momenta. Here selection rules are present and active, and we examine how and when coherence can be defined.