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Related Experiment Videos

Stable spinning optical solitons in three dimensions.

D Mihalache¹, D Mazilu, L-C Crasovan

¹Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.

Physical Review Letters

|February 28, 2002

Summary

Stable spatiotemporal spinning solitons, or vortex tori, were discovered using the nonlinear Schrödinger equation. Their stability arises from the interplay between focusing and defocusing nonlinearities.

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Area of Science:

Nonlinear Optics
Mathematical Physics

Background:

Spatiotemporal solitons are localized wave packets that propagate in both space and time.
Vortex structures in nonlinear systems can exhibit unique stability properties.

Purpose of the Study:

To introduce and demonstrate the existence of stable spatiotemporal spinning solitons (vortex tori).
To investigate the role of competing nonlinearities in soliton stability.

Main Methods:

Numerical simulations of the three-dimensional nonlinear Schrödinger equation.
Analysis of solutions with focusing cubic and defocusing quintic nonlinearities.

Main Results:

Demonstration of the first completely stable spatiotemporal vortex solitons.

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Identification of conditions for stability based on nonlinear competition.

Conclusions:

Stable spinning solitons are achievable through the balance of focusing and defocusing nonlinearities.
This finding opens new avenues for controlling light propagation in nonlinear media.