D.E. Pelinovsky

Instabilities of Dispersion - Managed Solitons in the Normal Dispersion Regime

Phys. Rev. E 62, 4283-4293 (2000)

Abstract:
Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of different pulse duration and energy at a fixed propagation constant. We show that the short soliton with a larger energy is linearly (exponentially) unstable. The other (long) soliton with a smaller energy is stable within the linear approximation but it hits a resonance with linear excitations of the dispersion map. The new results are matched with the results from the recent publications.

Keywords:
DISPERSION MANAGEMENT, OPTICAL SOLITONS, INSTABILITY, INTEGRAL NLS EQUATIONS, GAUSSIAN APPROXIMATION