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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Stable Vortex Solitons Sustained by Localized Gain in a Cubic Medium.

Chunyan Li^1,2, Yaroslav V Kartashov²

¹School of Physics, Xidian University, Xi'an 710071, China.

Physical Review Letters

|June 10, 2024

Summary

We demonstrate a simple system supporting stable vortex solitons with high topological charges using defocusing nonlinearity and linear gain. This method prevents decay and enhances stability, offering a new way to create these complex optical states.

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Area of Science:

Nonlinear optics
Dissipative systems
Soliton physics

Background:

Localized dissipative vortex solitons are crucial for nonlinear optics.
High topological charges often lead to instabilities in existing systems.
Competing nonlinearities and nonlinear gain/losses are typically required for stability.

Purpose of the Study:

To propose a simple dissipative system for stable vortex solitons with high topological charges.
To investigate the localization mechanism driven by defocusing nonlinearity and linear gain/losses.
To explore the dynamics of perturbed vortex solitons and their transformation.

Main Methods:

Utilizing a dissipative system with cubic defocusing nonlinearity and nonuniform linear gain.
Analyzing the bifurcation of vortex solitons from linear gain-guided vortical modes.
Simulating the propagation of perturbed unstable vortex solitons.

Main Results:

Stable localized dissipative vortex solitons with high topological charges are supported without competing nonlinearities.
Defocusing nonlinearity drives energy flow from gain regions to lossy peripheries for localization.
Increasing gain enhances stability, while increasing losses enable high topological charge solitons.
Perturbed unstable solitons transform into stable states with altered topological charges, not decay.

Conclusions:

A simple and efficient mechanism for forming stable vortex-carrying states is presented.
The system suppresses destructive azimuthal modulational instabilities.
Findings are relevant to polaritonic systems, microcavities, and lasers.