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Updated: Aug 15, 2026
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Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
Robust soliton clusters in media with competing cubic and quintic nonlinearities
D Mihalache1, D Mazilu, L-C Crasovan
1ICFO-Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, ES 8034 Barcelona, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
Summary
Circular light patterns called "necklaces," carrying orbital angular momentum, show robust dynamics in nonlinear media. Competing nonlinearities enhance the stability of these complex optical structures.
Area of Science:
- Nonlinear optics
- Optical physics
- Mathematical modeling
Background:
- Light beam propagation in bulk media is governed by nonlinearities.
- Circular patterns of light, or "necklaces," composed of solitons, carry orbital angular momentum.
- Understanding the dynamics of these structures is crucial for optical technologies.
Purpose of the Study:
- To investigate the dynamics of necklace patterns in a 2D model with combined cubic self-focusing and quintic self-defocusing nonlinearities.
- To predict the existence of quasistable necklace structures using an effective interaction potential.
- To analyze the robustness of these patterns under various initial conditions and noise.
Main Methods:
- Semianalytical predictions based on an effective interaction potential.
- Direct numerical simulations of light beam propagation.
- Analysis of pattern stability and oscillations over long evolution times.
Main Results:
- Quasistable necklace structures can exist, with stability depending on initial size relative to predicted equilibrium.
- Necklaces close to equilibrium exhibit persistent oscillations and survive long evolution.
- The quasistable evolution is robust against significant noise added to the initial configuration.
Conclusions:
- A combination of competing self-focusing and self-defocusing nonlinearities enhances the robustness of necklace patterns.
- These findings are qualitatively similar to those in models with quadratic and cubic nonlinearities.
- Competing nonlinearities provide a mechanism for stabilizing complex optical structures like vortex solitons and necklaces.
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