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Noise reduction in 2R-regeneration technique utilizing self-phase modulation and filtering

Thanh Nam Nguyen, Mathilde Gay, Laurent Bramerie, Thierry Chartier, Jean-Claude Simon, and Michel Joindot

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Abstract

We numerically investigate the 2R-regeneration technique utilizing self-phase modulation and off-center filtering. Our numerical simulations take into account the incoherent nature of noise through its spectral representation. This approach allows to evaluate a Q-factor improvement of 2 dB for this regenerator. Furthermore, our study points out the role of both the input and the output filter of this regenerator. We show that the input filter must be suitably chosen in order to obtain the best Q-factor improvement. The output filter must also be suitably chosen in order to preserve the modulation format.

©2006 Optical Society of America

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Figures (10)
Fig. 1.
Fig. 1. Schematic bloc diagram used for simulation.

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Fig. 2.
Fig. 2. Description of white noise gaussian : (a) Magnitude and (b) phase of the bandwidth-limited white noise in the frequency domain, (c) real and (d) imaginary part of noise in the time domain and probability density functions of (e) real and (f) imaginary part of noise in the time domain. In this figure A = 10-10 √W/Hz and B = 100 GHz. For numerical simulations, we have devided the total frequency range vmax = 1000 GHz in N = 218 points, leading to a sampling frequency vs = vmax/N = 3.8 MHz and a time window T = 1/vs = 260 ns.

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Fig. 3.
Fig. 3. (a) Eye diagram and (b) intensity histogram of the detected signal.

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Fig. 4.
Fig. 4. Q-factor versus OSNR for different ER.

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Fig. 5.
Fig. 5. Schematic diagram of the regenerator.

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Fig. 6.
Fig. 6. Transfer function of the regenerator and notation used.

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Fig. 7.
Fig. 7. Schematic bloc diagram used for simulation in the white noise approach.

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Fig. 8.
Fig. 8. Q-factor improvement evolution versus peak power in the white noise approach.

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Fig. 9.
Fig. 9. Evolution of the spectrum of both signal and noise through the regenerator : (a) before the input filter, (b) after the input filter, (c) after the nonlinear fiber and (d) after the output filter.

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Fig. 10.
Fig. 10. Q-factor improvement evolution versus peak power for different input filter band-widths.

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Equations (9)

Equations on this page are rendered with MathJax. Learn more.

E ˜ S ( v ) = 1 N ∑ k = − N / 2 N / 2 − 1 E S ( k T N ) exp ( − 2 i π k T N v )
E ˜ N ( v ) = A exp ( iϕ ( v ) ) ,
E ˜ 1 ( v ) = E ˜ S ( v ) + E ˜ N ( v ) .
E ˜ 2 ( v ) = F 1 ( v ) E ˜ 1 ( v ) .
v 1 ( t ) = R ∣ E 2 ( t ) ∣ 2 ,
v ˜ 2 ( v ) = H ( v ) v ˜ 1 ( v ) ,
Q 1 = V 1 − V 0 σ 1 + σ 0 ,
i ∂ E ∂ z + β 2 2 ∂ 2 E ∂ t 2 + i α 2 E = γ ∣ E ∣ 2 E ,
E ˜ 3 ( v ) = F 2 ( v ) E ˜ 2 ( v ) .
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