Localized structures in dispersive and doubly resonant optical parametric oscillators

TL;DR

This paper investigates the formation and dynamics of temporally localized structures in doubly resonant optical parametric oscillators, highlighting their behavior through collapsed snaking and domain wall locking.

Contribution

It introduces the analysis of localized structures in doubly resonant optical parametric oscillators without temporal walk-off, including their bifurcation and dynamic properties.

Findings

Localized structures undergo collapsed snaking.

States are formed by locking of domain walls.

Dynamics are characterized in parameter space.

Abstract

We study temporally localized structures in doubly resonant degenerate optical parametric oscillators in the absence of temporal walk-off. We focus on states formed through the locking of domain walls between the zero and a non-zero continuous wave solution. We show that these states undergo collapsed snaking and we characterize their dynamics in the parameter space.