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Two-dimensional dispersion-managed light bullets in Kerr media
M Matuszewski1, M Trippenbach, B A Malomed
1Physics Department, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland.
Summary
We present a method to stabilize spatiotemporal solitons (STSs) in nonlinear media with dispersion management. A stable 2D STS was identified, alongside a novel bound state of two subpulses.
Area of Science:
- Nonlinear Optics
- Soliton Physics
- Wave Propagation
Background:
- Spatiotemporal solitons (STSs) are fundamental in nonlinear optics.
- Stabilizing STSs is crucial for applications but challenging due to dispersion and nonlinearity.
- Dispersion management, using layered media, offers a potential solution.
Purpose of the Study:
- To propose and analyze a scheme for stabilizing spatiotemporal solitons (STSs) in media with cubic nonlinearity and dispersion management.
- To identify the stability regions for 2D and 3D STSs.
- To explore novel stable soliton structures.
Main Methods:
- Development of a variational approximation for STSs.
- Direct numerical simulations to verify theoretical predictions.
- Analysis of stability regions in 2D and 3D systems.
Main Results:
- A specific stability region for 2D spatiotemporal solitons in a dispersion-managed medium was identified.
- At the stability boundaries, a stable, oscillating bound state of two subpulses was discovered.
- In 3D bulk media, spatiotemporal pulses were found to either spread out or collapse.
Conclusions:
- Dispersion management provides a viable route for stabilizing 2D spatiotemporal solitons.
- Complex stable soliton dynamics, including bound states, can emerge at the edge of stability.
- 3D spatiotemporal solitons remain challenging to stabilize in this configuration.