Dispersion management in the zero-average dispersion regime as the interference of complex-conjugate pulses

Abstract

One of the particular features of the dispersion-managed soliton (DMS) for average to strong map strengths as compared to the conventional hyperbolic secant soliton is the presence of multiple side-lobes. We derive a closed-form analytical expression for a DMS in the zero-average dispersion regime close to the critical map strength point where stationary modes in this regime can be numerically observed. The accuracy of our analytical expression is clearly shown and leads to the derivation of a simple model based on the interference of chirped complex-conjugate Gaussian pulses which proves to be more accurate than those based on a Gaussian ansatz. We deduce, using numerical simulations and moment theory, the critical map strength parameter SCr which is close to various reported ones in the literature and which allows us to conjecture the shape of the first nonlinear stationary mode at the critical point.