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Updated: May 10, 2026
04:35
Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Solitary vortices supported by localized parametric gain
Changming Huang1, Fangwei Ye, Boris A Malomed
1State Key Laboratory of Advanced Optical Communication Systems and Networks, Physics Department, Shanghai Jiao Tong University, Shanghai 200240, China.
Optics Letters
|July 2, 2013
Summary
We show that bright vortex solitons are stable in lossy optical media with parametric gain. Stability depends on nonlinearity type and detuning parameter, with unstable vortices transforming into rotating azimuthons.
Area of Science:
- Nonlinear optics
- Optical solitons
- Photonic systems
Background:
- Vortex solitons are fundamental in nonlinear optics.
- Their stability in dissipative systems is crucial for applications.
- Parametric gain offers a method to sustain optical structures.
Purpose of the Study:
- To investigate the existence and stability of bright vortex solitons.
- To analyze the role of ring-shaped parametric gain in lossy media.
- To explore the influence of focusing and defocusing Kerr nonlinearities.
Main Methods:
- Theoretical analysis of bright vortex solitons.
- Numerical simulations in optical media with Kerr nonlinearity.
- Inclusion of ring-shaped parametric gain and dissipation.
Main Results:
- Demonstrated stable bright vortex solitons with parametric gain.
- Found stability for defocusing nonlinearity across all detuning parameters.
- Identified a limited stability region for focusing nonlinearity.
- Observed transformation of unstable vortices into stable rotating azimuthons.
Conclusions:
- Bright vortex solitons can be stabilized in lossy media using parametric gain.
- The type of Kerr nonlinearity and detuning parameter significantly affect soliton stability.
- Rotating azimuthons emerge from unstable vortices in focusing media.
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