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Open Access item From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback
|Authors:||Paulau, P. V.|
Malomed, B. A.
Firth, William J.
|Publisher:||American Physical Society|
|Citation:||Physical Review E 84: 036213 (1-7) (2011)|
|Abstract:||We use the cubic complex Ginzburg-Landau equation linearly coupled to a dissipative linear equation as a model for lasers with an external frequency-selective feedback. This system may also serve as a general pattern-formation model in media driven by an intrinsic gain and selective feedback. While, strictly speaking, the approximation of the laser nonlinearity by a cubic term is only valid for small field intensities, it qualitatively reproduces results for dissipative solitons obtained in models with a more complex nonlinearity in the whole parameter region where the solitons exist. The analysis is focused on two-dimensional stripe-shaped and vortex solitons. An analytical expression for the stripe solitons is obtained from the known one-dimensional soliton solution, and its relation with vortex solitons is highlighted. The radius of the vortices increases linearly with their topological charge m, therefore the stripe-shaped soliton may be interpreted as the vortex with m=∞, and, conversely, vortex solitons can be realized as unstable stripes bent into stable rings. The results for the vortices are applicable for a broad class of physical systems.|
|Publisher version (URL):||http://dx.doi.org/10.1103/PhysRevE.84.036213|
|E-ISSNmetadata.dc.identifier.doi = DOI:||1550-2376|
|Appears in Collections:||(IFISC) Artículos|
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