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Nonlocal Raman response in Kerr resonators: Moving temporal localized structures and bifurcation structure
M G Clerc1, S Coulibaly2, P Parra-Rivas3
1Departamento de Física and Millennium Institute for Research in Optics, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
Chaos (Woodbury, N.Y.)
|September 3, 2020
Summary
The Raman response in silica-based fiber optic ring resonators is crucial for creating moving temporal localized structures, a type of dissipative soliton. This study analytically and numerically confirms their formation and stability due to front interactions.
Area of Science:
- Nonlinear optics
- Optical fiber communications
- Soliton physics
Background:
- Ring resonators are key for generating dissipative localized structures, also known as dissipative solitons.
- The non-instantaneous nonlinear response, specifically the Raman response in fused silica, influences the formation of these structures.
- Previous work has not fully explored the role of the nonlocal Raman effect in the formation of moving temporal localized structures.
Purpose of the Study:
- To analyze the impact of the non-instantaneous nonlinear (Raman) response on localized structure formation in silica-based fiber ring resonators.
- To investigate the analytical formation of moving temporal localized structures using a reduced bistable model with a nonlocal Raman effect.
- To numerically characterize the bifurcation structure and stability of these moving temporal localized states.
Main Methods:
- Reduction of the generalized Lugiato-Lefever equation to a generic bistable model incorporating a nonlocal Raman effect.
- Analytical investigation of moving temporal localized structure formation near the nascent bistability regime.
- Numerical characterization of bifurcation structures and stability of localized states.
Main Results:
- The nonlocal Raman effect is essential for the existence and stabilization of moving temporal localized structures through front interactions.
- Analytical predictions for the speed and width of these structures were derived.
- Numerical simulations closely matched analytical predictions, validating the model and results.
Conclusions:
- The Raman response in silica-based fiber ring resonators is a critical factor for generating stable, moving temporal localized structures.
- The developed analytical model accurately predicts the behavior of these structures.
- This research provides a deeper understanding of dissipative soliton formation in nonlinear optical systems.
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