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Solitons in a medium with linear dissipation and localized gain
Dmitry A Zezyulin1, Yaroslav V Kartashov, Vladimir V Konotop
1Centro de Física Teórica e Computacional, and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal. zezyulin@cii.fc.ul.pt
Optics Letters
|April 12, 2011
Summary
We discovered novel dissipative solitons and breathing modes in optical media with localized gain and dissipation. These findings reveal unusual properties like exponentially localized modes and stable symmetric/antisymmetric solutions.
Area of Science:
- Nonlinear optics
- Mathematical physics
Background:
- Dissipative solitons are localized waves in systems with gain and loss.
- Understanding their behavior is crucial for applications in photonics and lasers.
Purpose of the Study:
- To investigate the properties of dissipative solitons and breathing modes.
- To explore the impact of localized gain and linear dissipation on these modes.
Main Methods:
- Numerical simulations of a nonlinear optical model.
- Analysis of localized gain and homogeneous linear dissipation.
Main Results:
- Demonstrated existence of exponentially localized modes in both focusing and defocusing media.
- Observed modes in focusing media with negative propagation constants.
- Found simultaneous stable symmetric and antisymmetric localized modes with dual-peak gain.
- Identified stable breathing solutions.
Conclusions:
- The studied system exhibits unique characteristics for dissipative solitons.
- Localized gain landscapes can lead to complex and stable soliton solutions.
- These findings offer new possibilities for controlling light in optical systems.
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