dorsal/arxiv
View SchemaGyroelectric cubic-quintic dissipative solitons
| Authors | A. D. Boardman, Larry Velasco |
|---|---|
| Categories | |
| ArXiv ID | physics/0602166 |
| URL | https://arxiv.org/abs/physics/0602166 |
Abstract
The influence of an externally applied magnetic field upon classic cubic quintic dissipative solitons is investigated using both exact simulations and a Lagrangian technique. The basic approach is to use a spatially inhomogeneous magnetic field and to consider two important geometries, namely the Voigt and the Faraday effects. A layered structure is selected for the Voigt case with the principal aim being to demonstrate non-reciprocal behaviour for various classes of spatial solitons that are known to exist as solutions of the complex Ginzburg-Landau cubic-quintic envelope equation under dissipative conditions. The system is viewed as dynamical and an opportunity is taken to display the behaviour patterns of the spatial solitons in terms of two-dimensional dynamical plots involving the total energy and the peak amplitude of the spatial solitons. This action this leads to limit cycle plots that beautifully reveal the behaviour of the solitons solutions at all points along the propagation axis. The closed contour that exists in the absence of a magnetic field is opened up and a limit point is exposed. The onset of chaos is revealed in a dramatic way and it is clear that detailed control by the external magnetic field can be exercised. The Lagrangian approach is adjusted to deal with dissipative systems and through the choice of particular trial functions, aspects of the dynamic behaviour of the spatial are predicted by this approach. Finally, some vortex dynamics in the Faraday configuration are investigated.
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"abstract": "The influence of an externally applied magnetic field upon classic cubic\nquintic dissipative solitons is investigated using both exact simulations and a\nLagrangian technique. The basic approach is to use a spatially inhomogeneous\nmagnetic field and to consider two important geometries, namely the Voigt and\nthe Faraday effects. A layered structure is selected for the Voigt case with\nthe principal aim being to demonstrate non-reciprocal behaviour for various\nclasses of spatial solitons that are known to exist as solutions of the complex\nGinzburg-Landau cubic-quintic envelope equation under dissipative conditions.\nThe system is viewed as dynamical and an opportunity is taken to display the\nbehaviour patterns of the spatial solitons in terms of two-dimensional\ndynamical plots involving the total energy and the peak amplitude of the\nspatial solitons. This action this leads to limit cycle plots that beautifully\nreveal the behaviour of the solitons solutions at all points along the\npropagation axis. The closed contour that exists in the absence of a magnetic\nfield is opened up and a limit point is exposed. The onset of chaos is revealed\nin a dramatic way and it is clear that detailed control by the external\nmagnetic field can be exercised. The Lagrangian approach is adjusted to deal\nwith dissipative systems and through the choice of particular trial functions,\naspects of the dynamic behaviour of the spatial are predicted by this approach.\nFinally, some vortex dynamics in the Faraday configuration are investigated.",
"arxiv_id": "physics/0602166",
"authors": [
"A. D. Boardman",
"Larry Velasco"
],
"categories": [
"physics.optics",
"cond-mat.mtrl-sci"
],
"title": "Gyroelectric cubic-quintic dissipative solitons",
"url": "https://arxiv.org/abs/physics/0602166"
},
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