Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials

TL;DR

This paper investigates the complex dynamical behaviors of dissipative solitons in nonlinear optical cavities with nonlocal materials, revealing various instabilities, bistability, and excitability phenomena organized by Takens-Bogdanov points.

Contribution

It introduces a generalized Lugiato-Lefever model incorporating nonlocal responses and characterizes the resulting rich dynamical instability scenarios of localized structures.

Findings

Localized structures exhibit oscillatory instabilities and tristability.

The system shows regimes of excitability and conditional excitability.

Dynamical scenarios are organized by Takens-Bogdanov points.

Abstract

In this work we characterize the dynamical instabilities of localized structures exhibited by a recently introduced Gelens et al., Phys. Rev. A 75, 063812 2007 generalization of the Lugiato-Lefever model that includes a weakly nonlocal response of an intracavity metamaterial. A rich scenario, in which the localized structures exhibit different types of oscillatory instabilities, tristability, and excitability, including a regime of conditional excitability in which the system is bistable, is presented and discussed. Finally, it is shown that the scenario is organized by a pair of Takens-Bogdanov codimension-2 points.