Calculation of timing and amplitude jitter in dispersion-managed optical fiber communications using linearization

Grigoryan, V.S.; Menyuk, Curtis R.; Mu, R.-M.

doi:10.1109/50.779156

Cited by 82 publications

(51 citation statements)

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“…We give in this section a short description of the moment method for calculating timing jitter [3]. Optical pulse propagation in any lightwave system is governed by the nonlinear Schrödinger (NLS) equation [9] (1) where and are, respectively, local power gain and loss inside the fiber, is the nonlinear coefficient, is the second-order dispersion parameter, and represents the contribution of noise (distributed or lumped) along the fiber length.…”

Section: General Formalismmentioning

confidence: 99%

“…We introduce a new variable in (1)-(4) using the definition , where represents the cumulative net gain from 0 to and is given by (5) In order to calculate the timing jitter, it is necessary to know how and evolve with . Following [3], (3) for and are differentiated with respect to and (1) is used to eliminate . One can integrate the resulting differential equations and introduce the random time shift , which is found to vary with as (6) where and represent the contributions to from frequency and position fluctuations, occurring due to ASE noise along the fiber link.…”

Section: General Formalismmentioning

confidence: 99%

“…In Section II, we extend the theory of [3] to the case of distributed amplification. In Section III, we derive an analytic expression for the timing jitter at any position within the fiber link in the case of ideal distributed amplification for which losses are compensated by gain perfectly at every point.…”

Section: Introductionmentioning

confidence: 99%

“…A general approach for calculating timing jitter in dispersion-managed (DM) systems was developed by Grigoryan et al in 1999 [3]. In the past, attention was mostly paid to estimating timing jitter in lightwave systems with lumped amplifiers placed periodically along the DM link [4]- [6].…”

Section: Introductionmentioning

confidence: 99%

“…We use the approach developed in [3] to compare the ASE-induced timing jitter in DM systems for the cases of lumped, distributed, and hybrid Raman amplification. In Section II, we extend the theory of [3] to the case of distributed amplification.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Timing jitter in dispersion-managed soliton systems with distributed, lumped, and hybrid amplification

Poutrina

Agrawal

2002

J. Lightwave Technol.

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Abstract-We analyze the role of distributed amplification in controlling timing jitter in dispersion-managed soliton systems and discuss, using analytical and numerical techniques, how timing jitter is reduced by up to a factor of two when lumped amplification is replaced by complete or partial distributed amplification. We derive an analytical expression for the timing jitter at any position within the fiber link in the case of ideal distributed amplification for which losses are exactly compensated by gain at every point. We show that the timing jitter is well approximated by this formula in the case of erbium-based amplification. We derive a similar expression for the timing jitter for lumped amplifiers and compare it with the case of distributed amplification. We find that with erbium-based distributed amplification, timing jitter depends on the density of dopants and is smaller for lower densities. In the case of hybrid Raman amplification, the transmission distance of a 40-Gb/s system can be increased by up to 30% depending on the amount of Raman gain. Finally, we show that timing jitter decreases for stronger maps at a given bit rate (constant minimum pulsewidth).

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Section: General Formalismmentioning

confidence: 99%