Filters

2018 - 20194

More filters

2019 - 201922020 - 20222
Reset filters

Settings

Subject: time-delay model ×

Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Item
    Light bullets in a time-delay model of a wide-aperture mode-locked semiconductor laser
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Pimenov, Alexander; Javaloyes, Julien; Gurevich, Svetlana V.; Vladimirov, Andrei G.
    Recently, a mechanism of formation of light bullets (LBs) in wide-aperture passively modelocked lasers was proposed. The conditions for existence and stability of these bullets, found in the long cavity limit, were studied theoretically under the mean field (MF) approximation using a Haus-type model equation. In this paper we relax the MF approximation and study LB formation in a model of a wide-aperture three section laser with a long diffractive section and short absorber and gain sections. To this end we derive a nonlocal delay-differential equation (NDDE) model and demonstrate by means of numerical simulations that this model supports stable LBs. We observe that the predictions about the regions of existence and stability of the LBs made previously using MF laser models agree well with the results obtained using the NDDE model. Moreover, we demonstrate that the general conclusions based upon the Haus model that regard the robustness of the LBs remain true in the NDDE model valid beyond the MF approximation, when the gain, losses and diffraction per cavity round-trip are not small perturbations anymore.
  • Thumbnail Image
    Item
    Temporal dissipative solitons in a delayed model of a ring semiconductor laser
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Pimenov, Alexander; Amiranashvili, Shalva; Vladimirov, Andrei G.
    Temporal cavity solitons are short pulses observed in periodic time traces of the electric field envelope in active and passive optical cavities. They sit on a stable background so that their trajectory comes close to a stable CW solution between the pulses. A common approach to predict and study these solitons theoretically is based on the use of Ginzburg-Landau-type partial differential equations, which, however, cannot adequately describe the dynamics of many realistic laser systems. Here for the first time we demonstrate formation of temporal cavity soliton solutions in a time-delay model of a ring semiconductor cavity with coherent optical injection, operating in anomalous dispersion regime, and perform bifurcation analysis of these solutions.
  • Thumbnail Image
    Item
    Temporal cavity solitons in a delayed model of a dispersive cavity ring laser
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2019) Pimenov, Alexander; Amiranashvili, Shalva; Vladimirov, Andrei G.
    Nonlinear localised structures appear as solitary states in systems with multistability and hysteresis. In particular, localised structures of light known as temporal cavity solitons were observed recently experimentally in driven Kerr-cavities operating in the anomalous dispersion regime when one of the two bistable spatially homogeneous steady states exhibits a modulational instability. We use a distributed delay system to study theoretically the formation of temporal cavity solitons in an optically injected ring semiconductor-based fiber laser, and propose an approach to derive reduced delay-differential equation models taking into account the dispersion of the intracavity fiber delay line. Using these equations we perform the stability and bifurcation analysis of injection-locked CW states and temporal cavity solitons.
  • Thumbnail Image
    Item
    Tunable Kerr frequency combs and temporal localized states in time-delayed Gires--Tournois interferometers
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2019) Schelte, Christian; Pimenov, Alexander; Vladimirov, Andrei G.; Javaloyes, Julien; Gurevich, Svetlana V.
    In this Letter we study theoretically a new set-up allowing for the generation of temporal localized states and frequency combs. The setup is compact (a few cm) and can be implemented using established technologies, while offering tunable repetition rates and potentially high power operation. It consists of a vertically emitting micro-cavity, operated in the Gires?Tournois regime, containing a Kerr medium with strong time-delayed optical feedback as well as detuned optical injection. We disclose sets of multistable dark and bright temporal localized states coexisting on their respective bistable homogeneous backgrounds.