Dispersion-managed solitons with net positive dispersion

Chains of temporal dark solitons in dispersion-managed fiber

Attractive interaction of dark dispersion-managed (DM) solitons is observed numerically. For certain initial separations chains of bound dark DM solitons are found. The chains can have various lengths (up to 12 solitons are shown), and the nearest-neighbor separations can take several values-all the same or mixed.

Ansatz-independent solution of a soliton in a strong dispersion-management system

We introduce a theoretical approach to the study of propagation in systems with periodic strong-management dispersion. Our approach does not assume any ansatz about the form of the solution nor does it make use of any average procedure. We find an explicit solution for the pulse evolution in the fast dynamics regime (distances smaller than the dispersion period). We also establish the equation of motion governing the slow dynamics of an arbitrary pulse and prove that the pulse evolution is nonlinear and Hamiltonian. We solve this equation and find that a nonlinear solitonlike solution occurs self-consistently in the form of an asymptotic stationary eigenfunction of the Hamiltonian.

Recent progress in soliton transmission technology

Recent progress on time-division multiplexed (TDM) and wavelength-division multiplexed (WDM) soliton transmission is described, in which dispersion management plays an important role in increasing the power margin and the dispersion tolerance. The characteristics of the dispersion-managed soliton are compared with those of return to zero and nonreturn to zero pulses. With a small dispersion swing, the system can still be described as an average soliton using the nonlinear Schrodinger equation, while with a large dispersion swing, the solitonlike steady-state pulse becomes a chirped Gaussian pulse, in which the governing equation is closer to a linear Schrodinger equation with a parabolic potential well. We describe an in-line modulation scheme for up to 80 Gbit/s per channel and its two channel WDM transmission over 10 000 km. Finally, we describe 640 Gbit/s (40 Gbit/sx16 channels) WDM soliton transmission over 1000 km with a dispersion-managed single-mode fiber. (c) 2000 American Institute of Physics.

Coupled-field description of zero-average dispersion management

Using a coupled-field formalism and a standard perturbation analysis, we analyze a dispersion-managed system under zero-average dispersion conditions. A nonlinear integral equation in the spectral domain allows the determination of the critical strength parameter of a two-step dispersion map. Higher-order correction terms confirm the difference observed in the pulse shapes in each fiber and comparisons with fully numerical results reveal a good agreement. The existence of an antisymmetric dispersion-managed soliton is also confirmed.