Self-stabilized spatiotemporal dynamics of dissipative light bullets generated from inputs without spherical symmetry in three-dimensional Ginzburg-Landau systems

In order to meet experimental conditions, the generation, evolution, and self-stabilization of optical dissipative light bullets from non-spherically-symmetric input pulses is studied. Steady-state solutions of the (3+1)-dimensional complex cubic-quintic Ginzburg-Landau equation are computed using t...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2007-06, Vol.75 (6), Article 061802
Main Authors: Aleksić, N. B., Skarka, V., Timotijević, D. V., Gauthier, D.
Format: Article
Language:English
Subjects:
ASYMMETRY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FORECASTING
GINZBURG-LANDAU THEORY
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SOLITONS
SPHERICAL CONFIGURATION
STABILITY
STEADY-STATE CONDITIONS
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
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Summary:In order to meet experimental conditions, the generation, evolution, and self-stabilization of optical dissipative light bullets from non-spherically-symmetric input pulses is studied. Steady-state solutions of the (3+1)-dimensional complex cubic-quintic Ginzburg-Landau equation are computed using the variational approach with a trial function asymmetric with respect to three transverse coordinates. The analytical stability criterion is extended to systems without spherical symmetry, allowing determination of the domain of dissipative parameters for stable solitonic solutions. The analytical predictions are confirmed by numerical evolution of the asymmetric input pulses toward stable dissipative light bullets. Once established, the dissipative light bullet remains surprisingly robust.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.75.061802