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Multichannel pulse dynamics in a stabilized Ginzburg-Landau system
H E Nistazakis1, D J Frantzeskakis, J Atai
1Department of Physics, University of Athens, Panepistimiopolis, 15784 Athens, Greece.
Summary
Stable optical pulses can transmit and collide elastically in dual-core fibers. This research explores pulse stability in coupled Ginzburg-Landau equations, crucial for wavelength-division multiplexed systems.
Area of Science:
- Nonlinear fiber optics
- Optical communications
- Soliton dynamics
Background:
- Cubic Ginzburg-Landau (CGL) equations model optical pulse propagation.
- Group-velocity mismatch and nonlinear coupling affect pulse interactions.
- Stabilization of solitary pulses is essential for reliable transmission.
Purpose of the Study:
- Investigate the stability and collision dynamics of chirped solitary pulses.
- Analyze pulse behavior in a dual-core fiber system with nonlinear coupling and gain.
- Explore the potential for stabilized wavelength-division multiplexed (WDM) transmission.
Main Methods:
- Utilized a system of nonlinearly coupled cubic Ginzburg-Landau equations.
- Incorporated linear coupling to additional dissipative equations for stabilization.
- Employed perturbation theory and direct numerical simulations for analysis.
- Examined cases of anomalous and normal dispersion.
Main Results:
- Demonstrated stable, quasielastic pulse collisions when group-velocity difference exceeds a critical value.
- Perturbation theory showed semiquantitative agreement with numerical results for anomalous dispersion.
- Confirmed stable, quasielastic simultaneous collisions of pulses in three channels.
- Identified conditions for fully stable pulse propagation and interaction.
Conclusions:
- The studied model supports stable solitary pulses with quasielastic collisions.
- The system shows promise for designing stabilized WDM transmission systems.
- Achieving stable pulse transmission relies on managing group-velocity mismatch and nonlinear effects.
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