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arXiv · 1102.1595

From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback

P. V. Paulau·D. Gomila·P. Colet·B. A. Malomed·W. J. Firth
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Abstract

We use the cubic complex Ginzburg-Landau equation coupled to a dissipative linear equation as a model of lasers with an external frequency-selective feedback. It is known that the feedback can stabilize the one-dimensional (1D) self-localized mode. We aim to extend the analysis to 2D stripe-shaped and vortex solitons. The radius of the vortices increases linearly with their topological charge, $m$, therefore the flat-stripe soliton may be interpreted as the vortex with $m=\infty$, while vortex solitons can be realized as stripes bent into rings. The results for the vortex solitons are applicable to a broad class of physical systems. There is a qualitative agreement between our results and those recently reported for models with saturable nonlinearity.

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P. V. Paulau, D. Gomila, P. Colet, B. A. Malomed, W. J. Firth. 2011-02-08. From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback. https://doi.org/10.1103/physreve.84.036213

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