WIAS Preprint No. 1924, (2014)

Delayed feedback control of the self-induced motion of localized structures of light


  • Vladimirov, Andrei G.
    ORCID: 0000-0002-7540-8380
  • Pimenov, Alexander
  • Gurevich, Svetlana V.
  • Panajotov, Krassimir
  • Averlant, Eugene
  • Tlidi, Mustapha
    ORCID: 0000-0003-3660-2524

2008 Physics and Astronomy Classification Scheme

  • 42.55.Px 42.60.Mi 05.45.-a 02.30.Ks


  • semiconductor lasers, cavity solitons, delayed feedback, bifurcations, drift iinstability




We investigate a control of the motion of localized structures of light by means of delay feedback in the transverse section of a broad area nonlinear optical system. The delayed feedback is found to induce a spontaneous motion of a solitary localized structure that is stationary and stable in the absence of feedback. We focus our analysis on an experimentally relevant system namely the Vertical-Cavity Surface-Emitting Laser (VCSEL). In the absence of the delay feedback we present experimental evidence of stationary localized structures in a 80 ?m aperture VCSEL. The spontaneous formation of localized structures takes place above the lasing threshold and under optical injection. Then, we consider the effect of the time-delayed optical feedback and investigate analytically the role of the phase of the feedback and the carrier lifetime on the self-mobility properties of the localized structures. We show that these two parameters affect strongly the space time dynamics of two-dimensional localized structures. We derive an analytical formula for the threshold associated with drift instability of localized structures and a normal form equation describing the slow time evolution of the speed of the moving structure.

Appeared in

  • Phil. Trans. R. Soc. A, 372 (2014) pp. 20140013.

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