Abstract

We propose to apply a large predispersion (having the same sign as the transmission fiber) to an optical signal before the uncompensated fiber transmission in coherent communication systems. This technique is aimed at simplification of the following digital signal processing of nonlinear impairments. We derive a model describing pulse propagation in the dispersion-dominated nonlinear fiber channel. In the limit of very strong initial predispersion, the nonlinear propagation equations for each Fourier mode become local and decoupled. This paves the way for new techniques to manage fiber nonlinearity.

© 2012 Optical Society of America

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References

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2011

K. Kikuchi, IEICE Electron. Express 8, 1642 (2011).
[CrossRef]

2010

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

R. J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, J. Lightwave Technol. 28, 662 (2010).
[CrossRef]

2008

2007

1997

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

1990

Bayvel, P.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

S. J. Savory, G. Gavioli, R. I. Killey, and P. Bayvel, Opt. Express 15, 2120 (2007).
[CrossRef]

Behrens, C.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

Essiambre, R. J.

Foschini, G. J.

Gavioli, G.

Goebel, B.

Gordon, J. P.

Hellerbrand, S.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

Iannone, E.

E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, 1998).

Kikuchi, K.

K. Kikuchi, IEICE Electron. Express 8, 1642 (2011).
[CrossRef]

Killey, R. I.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

S. J. Savory, G. Gavioli, R. I. Killey, and P. Bayvel, Opt. Express 15, 2120 (2007).
[CrossRef]

Kramer, G.

Makovejs, S.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

Marcuse, D.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Matera, F.

E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, 1998).

Mecozzi, A.

E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, 1998).

Menyuk, C. R.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Millar, D. S.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

Mollenauer, L. F.

Savory, S. J.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

S. J. Savory, Opt. Express 16, 804 (2008).
[CrossRef]

S. J. Savory, G. Gavioli, R. I. Killey, and P. Bayvel, Opt. Express 15, 2120 (2007).
[CrossRef]

Settembre, M.

E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, 1998).

Wai, P. K. A.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Winzer, P. J.

IEEE J. Sel. Top. Quantum Electron.

D. S. Millar, S. Makovejs, C. Behrens, S. Hellerbrand, R. I. Killey, P. Bayvel, and S. J. Savory, IEEE J. Sel. Top. Quantum Electron. 16, 1217 (2010).
[CrossRef]

IEICE Electron. Express

K. Kikuchi, IEICE Electron. Express 8, 1642 (2011).
[CrossRef]

J. Lightwave Technol.

Opt. Express

Opt. Lett.

Other

E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, 1998).

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Figures (1)

Fig. 1.
Fig. 1.

Comparison of the full numerics with the saddle-point model for (a) N=8 symbols, (b) N=32 symbols, and (c) N=64 symbols. For the latter two patterns, only a central fragment is shown. No inline dispersion compensation was used in the link.

Equations (7)

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

U1z=α2U1iβ222U1t2+i8γ9J×U1+η1,U2z=α2U2iβ222U2t2+i8γ9J×U2+η2,
Un(z,t)=dωeαz/2+iωtiω2(Kβ2z)/2An(z,ω).
An(ω)z=i8γ9dω1dω2eαz+i(ωω1)(ωω2)(Kβ2z)×An(ω1)[An(ω2)An*(ω3)+A3n(ω2)A3n*(ω3)],
An(z,ω)z=169iγπeαzK+|β2|z[|An|2+|A3n|2]An.
An(z,ω)=An(0,ω)exp[169iγπ|β2|f(αz,|β2|zK)I(ω)],
Aω(z)=Aω(0)exp{i2πγ|β2||Aω(0)|2ln[1+|β2|zK]},
A(0,ω)=1Bf˜(ω/B)m=M/2M/2xmexp(imωB),

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