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Delay feedback induces a spontaneous motion of two-dimensional cavity solitons in driven semiconductor microcavities

Publication date 2012
B-Phot Authors Etienne Averlant, Krassimir Panajotov
DOI 10.1103/PhysRevA.86.033822
Citation
M. Tlidi, E. Averlant, A. Vladimirov, and K. Panajotov, “Delay feedback induces a spontaneous motion of two-dimensional cavity solitons in driven semiconductor microcavities,” Phys. Rev. A, vol. 86, no. 3, p. 033822, 2012.
Abstract 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 (2D) 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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