"Magic" dispersion maps for multichannel soliton transmission

Using asymptotic theory and a momentum method, we have identified a family of dispersion management schemes that are advantageous for massive multichannel soliton transmission. For the practical case of two-step dispersion maps, special schemes are found that have optimal launch point locations (where no pulse prechirping is needed) that are independent of the fiber's dispersion. Despite the variation of dispersion with respect to carrier wavelength due to the fiber's dispersion slope, the transmission in several different channels can be optimized simultaneously using the same optimal launch point. Theoretical predictions are verified by direct numerical simulations.