Bound states of plain and composite pulses in optical transmission lines and fiber lasers

Mario F. S. Ferreira; Sofia C. V. Latas

doi:10.1117/12.474291

17 February 2003 Bound states of plain and composite pulses in optical transmission lines and fiber lasers

Proceedings Volume 4833, Applications of Photonic Technology 5; (2003) https://doi.org/10.1117/12.474291
Event: Applications of Photonic Technology 5, 2002, Quebec City, Canada

Abstract

We consider the formation and stability characteristics of bound states in the complex Ginzburg-Landau equation. Using the perturbation theory, we derive a dynamical system describing the interaction between two weakly overlapping pulses. Two types of bound states were found, which correposnd to fixed points of this system. One of them is unstable, while the other corresponds to practically stable stationary points of the dynamical system governing the interaction. Our numerical results indeed confirm the existence of stable bound sttes of two solitons when thephase difference between them is plus or minus π/2. This happens when we consider the interaction of both two standard plain pulses and of two composite pulses. We find that two-composite pulses bound states have zero velocity, which is contrast with the behavior of the bound states formed by plain pulses. The existence of stable bound states with zero velocity formed by multiple composite pulses is also demonstrated.

Citation Download Citation

Mario F. S. Ferreira and Sofia C. V. Latas "Bound states of plain and composite pulses in optical transmission lines and fiber lasers", Proc. SPIE 4833, Applications of Photonic Technology 5, (17 February 2003); https://doi.org/10.1117/12.474291

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