Abstract

We propose a new method for effective numerical simulation of transmission system performance and study of correlated noise evolution along an optical fiber with nonlinear parametric interaction between the amplified spontaneous emission (ASE) and the modulated optical signal. The method is based on an evaluation of the noise covariance matrix by using full nonlinear Schrödinger equation (NLSE) and an analytical model for the optical receiver. Using extensive brute-force Monte Carlo simulation as a verification tool, we test the accuracy of the method and illustrate the analytical receiver model limitations in the case of moderate as well as substantial growth of non-Gaussian optical noise along the optical fiber transmission link.

© 2006 Optical Society of America

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  1. R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
    [Crossref]
  2. G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
    [Crossref]
  3. R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, and W. L. Kath, J. Lightwave Technol. 20, 389 (2002).
    [Crossref]
  4. M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966).
  5. G. Jacobsen, A. Aurelius, and A. Berntson, 'BER model for Rx ISI effects in WDM system accounting for general LPF impulse responses for correlation of quadrature and polarization noise contributions,' J. Opt. Commun. (to be published).

2002 (1)

2001 (1)

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

1997 (1)

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
[Crossref]

Aurelius, A.

G. Jacobsen, A. Aurelius, and A. Berntson, 'BER model for Rx ISI effects in WDM system accounting for general LPF impulse responses for correlation of quadrature and polarization noise contributions,' J. Opt. Commun. (to be published).

Benedetto, S.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

Bennett, W. R.

M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966).

Berntson, A.

G. Jacobsen, A. Aurelius, and A. Berntson, 'BER model for Rx ISI effects in WDM system accounting for general LPF impulse responses for correlation of quadrature and polarization noise contributions,' J. Opt. Commun. (to be published).

Bosco, G.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

Carena, A.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

Curri, V.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

Gaudino, R.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

Grigoryan, V. S.

Holzlöhner, R.

Hui, R.

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
[Crossref]

Jacobsen, G.

G. Jacobsen, A. Aurelius, and A. Berntson, 'BER model for Rx ISI effects in WDM system accounting for general LPF impulse responses for correlation of quadrature and polarization noise contributions,' J. Opt. Commun. (to be published).

Kath, W. L.

Menyuk, C. R.

O'Sullivan, M.

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
[Crossref]

Poggiolini, P.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

Robinson, A.

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
[Crossref]

Schwartz, M.

M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966).

Stein, S.

M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966).

Taylor, M.

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
[Crossref]

IEEE Trans. Commun. (1)

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Trans. Commun. 49, 2154 (2001).
[Crossref]

J. Lightwave Technol. (2)

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, and W. L. Kath, J. Lightwave Technol. 20, 389 (2002).
[Crossref]

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, J. Lightwave Technol. 15, 1071 (1997).
[Crossref]

J. Opt. Commun. (1)

G. Jacobsen, A. Aurelius, and A. Berntson, 'BER model for Rx ISI effects in WDM system accounting for general LPF impulse responses for correlation of quadrature and polarization noise contributions,' J. Opt. Commun. (to be published).

Other (1)

M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966).

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Figures (3)

Fig. 1
Fig. 1

Covariance matrix of filtered optical noise at the output of 5 × 80 km transmission link when signal–noise interaction is accounted for or (inset) neglected.

Fig. 2
Fig. 2

PDF evaluated accounting for (solid curve) and disregarding (dashed curve) nonlinear signal–noise interaction by using the characteristic function approach. Dots, triangles, and circles represent results of full Monte Carlo modeling for 10 × 80 km , 5 × 80 km and 2 × 80 km systems, respectively.

Fig. 3
Fig. 3

PDF (similar notation as in Fig. 2) evaluated for a 10 × 120 km system.

Equations (3)

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A z = i β 2 2 2 A τ 2 i γ A 2 A α A .
Φ V ( ξ ) = exp [ i ξ A T ( H 1 2 i ξ R ) 1 A ] det ( I 2 i ξ RH ) .
V = A T HA = k = 1 M A ( τ k ) 2 h ( τ d τ k ) ,

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