Self-localized structures in vertical-cavity surface-emitting lasers with external feedback

P.V. Paulau, D. Gomila, T. Ackemann, N.A. Loiko, W.J. Firth

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Abstract

In this paper, we analyze a model of broad area vertical-cavity surface-emitting lasers subjected to frequency-selective optical feedback. In particular, we analyze the spatio-temporal regimes arising above threshold and the existence and dynamical properties of cavity solitons. We build the bifurcation diagram of stationary self-localized states, finding that branches of cavity solitons emerge from the degenerate Hopf bifurcations marking the homogeneous solutions with maximal and minimal gain. These branches collide in a saddle-node bifurcation, defining a maximum pump current for soliton existence that lies below the threshold of the laser without feedback. The properties of these cavity solitons are in good agreement with those observed in recent experiments.
LanguageEnglish
Pages016212-016212
Number of pages0
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume78
Issue number1
DOIs
Publication statusPublished - Jul 2008

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Localized Structures
Vertical-cavity Surface-emitting Laser (VCSEL)
surface emitting lasers
Solitons
solitary waves
Cavity
cavities
Branch
Optical Feedback
Saddle-node Bifurcation
thresholds
saddles
Bifurcation Diagram
Hopf Bifurcation
marking
Pump
diagrams
pumps
Laser
lasers

Keywords

  • vertical-cavity surface-emitting lasers
  • VCSELs

Cite this

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abstract = "In this paper, we analyze a model of broad area vertical-cavity surface-emitting lasers subjected to frequency-selective optical feedback. In particular, we analyze the spatio-temporal regimes arising above threshold and the existence and dynamical properties of cavity solitons. We build the bifurcation diagram of stationary self-localized states, finding that branches of cavity solitons emerge from the degenerate Hopf bifurcations marking the homogeneous solutions with maximal and minimal gain. These branches collide in a saddle-node bifurcation, defining a maximum pump current for soliton existence that lies below the threshold of the laser without feedback. The properties of these cavity solitons are in good agreement with those observed in recent experiments.",
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AU - Gomila, D.

AU - Ackemann, T.

AU - Loiko, N.A.

AU - Firth, W.J.

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AB - In this paper, we analyze a model of broad area vertical-cavity surface-emitting lasers subjected to frequency-selective optical feedback. In particular, we analyze the spatio-temporal regimes arising above threshold and the existence and dynamical properties of cavity solitons. We build the bifurcation diagram of stationary self-localized states, finding that branches of cavity solitons emerge from the degenerate Hopf bifurcations marking the homogeneous solutions with maximal and minimal gain. These branches collide in a saddle-node bifurcation, defining a maximum pump current for soliton existence that lies below the threshold of the laser without feedback. The properties of these cavity solitons are in good agreement with those observed in recent experiments.

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