Linear stability analysis of dispersion-managed solitons controlled by filters

Kumasako, J.; Matsumoto, Masayuki; Waiyapot, S.

doi:10.1109/50.857751

Cited by 27 publications

(13 citation statements)

References 18 publications

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“…It can be shown that the spectral width at midpoint of anomalous-dispersion fiber segment increases monotonically with the strength of the dispersion management, a behavior similar to that of pulse energy [14]. As a consequence, the spectral width at this position is an increasing function of the pulse energy.…”

Section: Effects Of a Filter On A Dm Solitonmentioning

confidence: 85%

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Analysis of the timing jitter of dispersion-managed solitons controlled by filters

Sousa

Ferreira

2004

Laser Phys. Lett.

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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 timing jitter shows a linear dependence with distance, which is in contrast with the cubic dependence in the unfiltered case. We show that the suppression of the timing can be achieved by choosing conveniently the position and the strength of the optical filter.

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Section: Effects Of a Filter On A Dm Solitonmentioning

confidence: 85%

“…The dynamical equations for the evolution of these parameters along the fiber can be obtained using a variational approach [10,14]. In particular, we obtain the following equations for the pulse frequency and temporal position:…”

Section: Effects Of a Filter On A Dm Solitonmentioning

confidence: 99%

Analysis of the timing jitter of dispersion-managed solitons controlled by filters

Sousa

Ferreira

2004

Laser Phys. Lett.

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“…On the other hand, the effects of the filter on the pulse frequency and temporal position are described by the following relations 16 :…”

Section: Effects Of a Modulator And A Filter On A Dm Solitonmentioning

confidence: 99%

“…It was recently shown that the use of guiding filters can provide stable soliton propagation in a dispersion-managed transmission system. However, instability was reported in some cases if the pulse energy and dispersion-map strength are significantly larger than those usually required for practical long-distance transmission 16 . On the other hand, it was also shown that the use of synchronous amplitude modulators, which always require simultaneous use of narrowband filters to stabilize the energy of standard solitons, can provide the stabilization of DM solitons without use of filters 19 17− .…”

Section: Introductionmentioning

confidence: 99%

Timing jitter in dispersion-managed soliton transmission systems

Ferreira

Sousa

2006

SPIE Proceedings

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An exact analytical solution is derived for the variance of the timing jitter of a dispersion-managed soliton in the presence of synchronous amplitude modulators and filters. We show that, for a given position of these control elements, a total suppression of the timing jitter is possible, which will permit unlimited error free transmission distances of DM solitons. However, if only the modulator or the filter is used, 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.

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“…The inline-filter have been seemed as good effectively in conventional soliton systems [1], and Matsumoto [2], Boivin [3] have been studied on the filter control the low bit rates and weak dispersion management soliton systems with adiabatic perturbational approach and momentum method. Kumasako [4] have studied the stabilization of filter control DMS. But they also only consider the single perturbation in the systems .…”

Section: Introductionmentioning

confidence: 99%

The optimal filter strength for restraining the multi-perturbations in WDM dispersion managed soliton systems

Yang

2005

SPIE Proceedings

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The dispersion managed soliton transmission is a new soliton transmission scheme, but the ultra long-haul WDM system is limited its communication capability for multi-perturbations. In the present, the multi-perturbations including the amplificatory spontaneous emission (ASE) noise, across phase modulation (XPM) between the channels etc are considered. The evolvement characteristics of dispersion managed soliton transmission under control of inline filter are studied with variational method. Then the analysis expressions of timing jitter and equations of DMS's transmission evolution are gotten. The analysis results indicate that the filter can increase the DMS's transmission rate and stabilize DMS transmission. At same time, there exist a optimal configure scheme of filter strength and parameters of DMS. If choosing the parameters ( B C k f , , ' ')reasonably, the pulse can be transmitted stable.

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Linear stability analysis of dispersion-managed solitons controlled by filters

Cited by 27 publications

References 18 publications

Analysis of the timing jitter of dispersion-managed solitons controlled by filters

Analysis of the timing jitter of dispersion-managed solitons controlled by filters

Timing jitter in dispersion-managed soliton transmission systems

The optimal filter strength for restraining the multi-perturbations in WDM dispersion managed soliton systems

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