4.6 Article

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

Journal

OPTICS LETTERS
Volume 47, Issue 12, Pages 2979-2982

Publisher

Optica Publishing Group
DOI: 10.1364/OL.457777

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Funding

  1. Studienstiftung des DeutschenVolkes
  2. Ministerio de Economia y Competitividad [PGC2018-099637-B-100 AEI/FEDER UE]

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This paper elucidates the mechanisms behind the formation of temporal localized states and frequency combs in vertical external-cavity Kerr-Gires-Tournois interferometers. By reducing the model and comparing the observations, it is concluded that high-order effects play a significant role in generating localized states.
We elucidate the mechanisms that underlay the formation of temporal localized states and frequency combs in vertical external-cavity Kerr-Gires-Tournois interferometers. We reduce our first-principles 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, which 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. (C) 2022 Optica Publishing Group

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