Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation

TL;DR

This paper investigates how localized structures form through domain wall locking in cavity-enhanced second-harmonic generation, emphasizing phase-matching, group velocity dispersion, and the effects of temporal walk-off on stability.

Contribution

It reveals the mechanism of localized structure formation via domain wall locking and analyzes the influence of temporal walk-off on their stability and dynamics.

Findings

Localized structures form through domain wall locking.

Temporal walk-off affects the stability of localized states.

Collapsed snaking characterizes the bifurcation structure.

Abstract

We analyze the formation of localized structures in cavity-enhanced second-harmonic generation. We focus on the phase-matched limit, and consider that fundamental and generated waves have opposite sign of group velocity dispersion. We show that these states form due to the locking of domain walls connecting two stable homogeneous states of the system, and undergo collapsed snaking. We study the impact of temporal walk-off on the stability and dynamics of these localized states.