Timing Jitter and Stability of Dispersion-Managed Solitons Controlled by Synchronous Amplitude Modulators

Exact analytical solutions are derived for the variance of the timing jitter of a dispersion-managed soliton in the presence of synchronous amplitude modulators. We show that the suppression of the timing jitter is in general possible by a convenient choice of the strength and the relative position of the modulator in the dispersion map. For a given position of the modulator, at which the frequency chirp of the pulse is zero, the asymptotic behavior of the timing jitter shows a linear dependence with distance, which is in contrast with the cubic dependence in the uncontrolled case.