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Author: Vladimirov, Andrei G. × Subject: bifurcations ×

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Now showing 1 - 3 of 3
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    An optically injected mode locked laser
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Rebrova, Natalia; Huyet, Guillaume; Rachinskii, Dmitrii; Vladimirov, Andrei G.
    We study analytically and numerically a delay differential model of a passively mode-locked semiconductor laser subjected to a single frequency coherent injection. The width of the locking cone is calculated asymptotically in the limit of small injection and compared to that obtained by direct numerical integration of the model equations. The dependence of the locking cone on the laser parameters is discussed
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    Spontaneous motion of cavity solitons induced by a delayed feedback
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2012) Tlidi, Mustapha; Averlant, Etienne; Vladimirov, Andrei G.; Panajotov, Krassimir
    We consider a broad area Vertical-Cavity Surface Emitting Laser (VCSEL) operating below the lasing threshold and subject to optical injection and time-delayed feedback. We derive a generalized delayed Swift-Hohenberg equation for the VCSEL system which is valid close to the nascent optical bistability. We first characterize the stationary cavity solitons by constructing their snaking bifurcation diagram and by showing clustering behavior within the pinning region of parameters. Then we show that the delayed feedback induces a spontaneous motion of two-dimensional cavity solitons in an arbitrary direction in the transverse plane. We characterize moving cavity solitons by estimating their threshold and calculating their velocity. Numerical 2D solutions of the governing semiconductor laser equations are in close agreement with those obtained from the delayed generalized Swift- Hohenberg equation.
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    Delayed feedback control of the self-induced motion of localized structures of light
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Vladimirov, Andrei G.; Pimenov, Alexander; Gurevich, Svetlana V.; Panajotov, Krassimir; Averlant, Eugene; Tlidi, Mustapha
    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.