The period map for pulse propagation in nonlinear optical DM fibers

We have derived a simple recursion formula for the amplitude and chirp of t he optical pulse propagating over a Dispersion Managed fiber with zero mean dispersion. We neglect dissipation and assume that the dispersion is const ant along the adjacent legs of the waveguide, thus providing the applicabil ity of the integrable nonlinear Schrodinger models within each leg. Choosin g the legs long enough to ensure the formation of a self-similar profile, w e apply the well-known asymptotic formulas for the nonsoliton initial pulse s. Matching them through the interfaces of the legs, we get recursion formu las for the pulse amplitude and chirp. Our analytical results are justified by numerical simulations. (C) 2001 MAIK "Nauka/Interperiodica".