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- ItemDelayed feedback control of self-mobile cavity solitons in a wide-aperture laser with a saturable absorber(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2017) Schemmelmann, Tobias; Tabbert, Felix; Pimenov, Alexander; Vladimirov, Andrei G.; Gurevich, Svetlana V.We investigate the spatiotemporal dynamics of cavity solitons in a broad area vertical-cavity surface-emitting laser with saturable absorption subjected to time-delayed optical feedback. Using a combination of analytical, numerical and path continuation methods we analyze the bifurcation structure of stationary and moving cavity solitons and identify two different types of traveling localized solutions, corresponding to slow and fast motion. We show that the delay impacts both stationary and moving solutions either causing drifting and wiggling dynamics of initially stationary cavity solitons or leading to stabilization of intrinsically moving solutions. Finally, we demonstrate that the fast cavity solitons can be associated with a lateral mode-locking regime in a broad-area laser with a single longitudinal mode.
- ItemDelayed 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, MustaphaWe 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.