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Localized Structures in Broad Area VCSELs: Experiments and Delay-Induced Motion

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Structural Nonlinear Dynamics and Diagnosis

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 168))

Abstract

We investigate the space-time dynamics of a Vertical-Cavity Surface-Emitting Laser (VCSEL ) subject to optical injection and to delay feedback control. Apart from their technological advantages, broad area VCSELs allow creating localized light structures (LSs). Such LSs, often called Cavity Solitons , have been proposed to be used in information processing, device characterization, and others. After a brief description of the experimental setup, we present experimental evidence of stationary LSs. We then theoretically describe this system using a mean field model. We perform a real order parameter description close to the nascent bistability and close to large wavelength pattern forming regime. We theoretically characterize the LS snaking bifurcation diagram in this framework. The main body of this chapter is devoted to theoretical investigations on the time-delayed feedback control of LSs in VCSELs. The feedback induces a spontaneous motion of the LSs, which we characterize by computing the velocity and the threshold associated with such motion. In the nascent bistability regime, the motion threshold and the velocity of moving LSs depend only on the feedback parameters. However, when considering the previously introduced mean-field model, theoretical predictions indicate that both motion threshold and velocity are strongly affected by the phase of the delay and by the carrier relaxation rate.

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Authors and Affiliations

  1. Faculté des Sciences de l’Université Libre de Bruxelles, Brussels, Belgium

    Mustapha Tlidi & Etienne Averlant

  2. IR-TONA, Vrije Universiteit Brussel, Brussels, Belgium

    Etienne Averlant & Krassimir Panayotov

  3. Weierstrass Institute, Berlin, Germany

    Andrei Vladimirov & Alexander Pimenov

  4. Institut Für Theoretische Physik, Münster, Germany

    Svetlana Gurevich

  5. Institute of Solid State Physics, Sofia, Bulgaria

    Krassimir Panayotov

Authors
  1. Mustapha Tlidi
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  2. Etienne Averlant
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  3. Andrei Vladimirov
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  4. Alexander Pimenov
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  5. Svetlana Gurevich
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  6. Krassimir Panayotov
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Corresponding author

Correspondence to Mustapha Tlidi .

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  1. Laboratory of Mechanics, Hassan II-Casablanca University, Casablanca, Morocco

    Mohamed Belhaq

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Tlidi, M., Averlant, E., Vladimirov, A., Pimenov, A., Gurevich, S., Panayotov, K. (2015). Localized Structures in Broad Area VCSELs: Experiments and Delay-Induced Motion. In: Belhaq, M. (eds) Structural Nonlinear Dynamics and Diagnosis. Springer Proceedings in Physics, vol 168. Springer, Cham. https://doi.org/10.1007/978-3-319-19851-4_20

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