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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/46070
Title: From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback
Authors: Paulau, P. V.; Gomila, Damià; Colet, Pere; Malomed, B. A.; Firth, William J.
Issue Date: 2011
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
URI: http://hdl.handle.net/10261/46070
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.84.036213
E-ISSN: 1550-2376
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