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Persistent oscillations of scalar and vector dispersion-managed solitons
T. I. Lakoba1, Dmitry E. Pelinovsky
1Rochester Theory Center of Optical Science and Engineering, Institute of Optics, P.O. Box 270186, University of Rochester, Rochester, New York 14627.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
Internal modes in dispersion-managed (DM) solitons within randomly birefringent fibers were identified. Both orthogonal and parallel modes were found, with parallel modes requiring a minimum dispersion map strength for existence.
Area of Science:
- Nonlinear fiber optics
- Soliton dynamics
- Birefringent fiber systems
Background:
- Dispersion-managed (DM) solitons are crucial for long-haul optical communication.
- Understanding internal modes is key to soliton stability and propagation.
- Random birefringence in fibers introduces complex dynamics.
Purpose of the Study:
- To investigate the existence and properties of internal modes in DM solitons.
- To analyze the influence of dispersion map strength on these modes.
- To examine the stability and decay of DM solitons perturbed by internal modes.
Main Methods:
- Theoretical analysis of DM solitons in randomly birefringent fibers.
- Numerical simulations to observe soliton behavior and mode interactions.
- Perturbation analysis to study mode stability over propagation distance.
Main Results:
- Both orthogonal and parallel internal modes were confirmed to exist.
- Orthogonal modes exist for all dispersion map strengths.
- Parallel modes necessitate a threshold dispersion map strength, while perturbed solitons exhibit long-lived oscillations before decaying.
Conclusions:
- Internal modes play a significant role in the stability of DM solitons.
- Dispersion map strength is a critical parameter influencing mode behavior.
- The findings provide insights into soliton propagation dynamics in realistic fiber conditions.