Stability analysis of dispersion-managed solitons controlled by synchronous amplitude modulators

Total suppression of the timing jitter in dispersion-managed soliton systems

“…Control methods such as the use of guiding filters (with its frequency fixed or sliding) [1][2][3] and synchronous modulation [4] were studied not only to stabilize the signal pulse but also to eliminate low-power noise. In systems using dispersion-managed (DM) solitons, such control methods are still an effective and natural means to improve their performance [5][6][7][8]. For DM solitons the periodic pulse dynamics within each dispersion map implies that the exact position of the control elements in the map plays a key role in the transmission performances.…”

“…It was shown, for example, that the use of guiding filters can cause instability if their position in the dispersion map is inappropriate [5]. It was also shown that the use of synchronous amplitude modulators (AMs), which always require simultaneous use of narrowband filters to stabilize the energy of standard solitons, could provide the stabilization of DM solitons without the use of filters [6]. However, it is expected that the combined use of AMs and filters will improve considerably the system performance.…”

“…On the other hand, the transfer function of the filter is given by H(Ω) = exp −βΩ 2 , where β is inversely proportional to the square root of the filter bandwidth and represents the strength of the filter. The effects of the AM on the pulse frequency and temporal position can be described by the following relations [6]:…”

“…It is important to note that this result can be achieved only using a filter together with the amplitude modulator. In fact, if the amplitude modulator is used without a filter, as considered in [6], Eq. ( 14) shows that the asymptotic timing jitter is not totally suppressed, but increases linearly with distance.…”