Timing jitter of dispersion-managed solitons controlled by filters: analytical results

Using a variational approach, an exact analytical expression is derived for the variance of the timing jitter of a dispersion-managed soliton in the presence of lumped narrowband filters. The asymptotic behaviour of the timing jitter shows a linear dependence with distance, which is in contrast with the cubic dependence in the unfiltered case. It is shown that complete suppression of timing jitter is possible by a convenient choice of the strength and relative position in the dispersion map of the control filter