Novel approaches to numerical modeling of periodic dispersion-managed fiber communication systems

We present two approaches to numerical modeling of periodic dispersion-managed (DM) fiberoptic communication systems. The first approach is a path-average mapping method giving analytical expression for the transfer function (over a system period) for arbitrary cascaded DM system with different periods of the amplification and dispersion compensation. The second method is an expansion of the signal in periodic DM transmission lines in the complete basis of Gauss-Hermite functions with the leading Gaussian zero mode. Theoretical results are verified by direct numerical simulations.