The period map for pulse propagation in nonlinear optical DM fibers

Abstract

We have derived a simple recursion formula for the amplitude and chirp of the optical pulse propagating over a Dispersion Managed fiber with zero mean dispersion. We neglect dissipation and assume that the dispersion is constant along the adjacent legs of the waveguide, thus providing the applicability of the integrable nonlinear Schrodinger models within each leg. Choosing the legs long enough to ensure the formation of a self-similar profile, we apply the well-known asymptotic formulas for the nonsoliton initial pulses. Matching them through the interfaces of the legs, we get recursion formulas for the pulse amplitude and chirp. Our analytical results are justified by numerical simulations.