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The European Physical Journal D

, Volume 59, Issue 1, pp 59–65 | Cite as

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

  • M. TlidiEmail author
  • A. G. Vladimirov
  • D. Turaev
  • G. Kozyreff
  • D. Pieroux
  • T. Erneux
Regular Article

Abstract.

We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.

Keywords

Soliton Periodic Pattern External Cavity Spontaneous Motion Dissipative Soliton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • M. Tlidi
    • 1
    Email author
  • A. G. Vladimirov
    • 2
  • D. Turaev
    • 3
  • G. Kozyreff
    • 1
  • D. Pieroux
    • 1
  • T. Erneux
    • 1
  1. 1.Optique Nonlinéaire Théorique, Université libre de Bruxelles (U.L.B.)BruxellesBelgium
  2. 2.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany
  3. 3.Imperial CollegeLondonUK

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