Analytical method for designing grating-compensated dispersion-managed soliton systems

Abstract

We present a useful analytical method for designing grating-compensated dispersion-managed (DM) soliton systems for any desired input pulse widths and energies. The pulse-width and chirp evolution equations derived from the variational method are solved exactly to obtain the explicit analytical expressions for the length of the dispersion map and the grating dispersion. We also extend our analytical method to design grating-compensated DM soliton systems with loss and gain. We show that our analytically designed DM soliton systems also apply even if the chirped fiber gratings have group-delay ripples. The results obtained from our analytical method are in good agreement with those obtained from full numerical simulations. Finally a 160-Gbits/s transmission system is simulated with all the important higher-order effects to show the effectiveness of our analytical design.