A normal form for frequency combs and localized states in Kerr-Gires-Tournois interferometers

Abstract

We elucidate the mechanisms that underly the formation of temporal localized states and frequency combs in vertical external-cavity Kerr-Gires-Tournois interferometers. We reduce our first principle model based upon delay algebraic equations to a minimal pattern formation scenario. It consists in a real cubic Ginzburg-Landau equation modified by high-order effects such as third order dispersion and nonlinear drift. The latter are responsible for generating localized states via the locking of domain walls connecting the high and low intensity levels of the injected micro-cavity. We interpret the effective parameters of the normal form in relation with the configuration of the optical setup. Comparing the two models, we observe an excellent agreement close to the onset of bistability.

4 pages, 5 figures + 5 pages of supplementary material, submitted to Optics Letters

References in corpus (3)

• Frequency combs and platicons in optical microresonators with normal GVD
• Third-order chromatic dispersion stabilizes Kerr frequency combs
• Wiggling Instabilities of Temporal Localized States in Passively Mode-Locked Vertical External-Cavity Surface-Emitting Lasers

Cited by in corpus (5)

• Square wave generation in vertical external-cavity Kerr-Gires-Tournois interferometers
• Temporal localized states and square-waves in semiconductor micro-resonators with strong time-delayed feedback
• Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
• Normal dispersion Kerr cavity solitons: beyond the mean field limit
• Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities