Abstract

Intrachannel pulse interactions are the dominating nonlinear effects in modern transmission systems with high modulation speeds. Scaled symmetries have proved to be effective in suppressing amplitude and timing jitter of mark pulses due to nonlinearity but not for ghost-pulse generation into the empty slots. A method of using midspan self-phase modulation to reverse the generation of ghost pulses due to intrachannel four-wave mixing is proposed. Computer simulations demonstrate significant improvement of signal quality by a combination of scaled symmetries and midspan self-phase modulation.

© 2005 Optical Society of America

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References

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  1. R.-J. Essiambre, G. Raybon, and B. Mikkelson, in Optical Fiber Telecommunications IV B: Systems and Impairments, I. P. Kaminow and T. Li, eds. (Academic, 2002).
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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2005 (1)

J. Hansryd, J. van Howe, and C. Xu, IEEE Photon. Technol. Lett. 17, 232 (2005).
[Crossref]

2004 (3)

2003 (1)

H. Wei and D. V. Plant, in Proc. SPIE 5178, 139 (2003).

2002 (4)

T. Hirooka and M. J. Ablowitz, IEEE Photon. Technol. Lett. 14, 316 (2002).
[Crossref]

R. Hainberger, T. Hoshita, T. Terahara, and H. Onaka, IEEE Photon. Technol. Lett. 14, 471 (2002).
[Crossref]

X. Liu, X. Wei, R. E. Slusher, and C. J. McKinstrie, Opt. Lett. 27, 1616 (2002).
[Crossref]

C. Xu and X. Liu, Opt. Lett. 27, 1619 (2002).
[Crossref]

2001 (2)

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

P. Johannisson, D. Anderson, A. Berntson, and J. Martensson, Opt. Lett. 26, 1227 (2001).
[Crossref]

1999 (2)

R.-J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[Crossref]

P. V. Mamyshev and N. A. Mamysheva, Opt. Lett. 24, 1454 (1999).
[Crossref]

1997 (1)

1989 (1)

G. P. Agrawal and N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[Crossref]

1988 (2)

D. B. Mortimore, J. Lightwave Technol. 6, 1217 (1988).
[Crossref]

N. J. Doran and D. Wood, Opt. Lett. 13, 56 (1988).
[Crossref] [PubMed]

Ablowitz, M. J.

T. Hirooka and M. J. Ablowitz, IEEE Photon. Technol. Lett. 14, 316 (2002).
[Crossref]

Agrawal, G. P.

G. P. Agrawal and N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[Crossref]

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).

Anderson, D.

Bennion, I.

Z. Huang, A. Gray, I. Khrushchev, and I. Bennion, IEEE Photon. Technol. Lett. 16, 2526 (2004).
[Crossref]

Berntson, A.

Clausen, C. B.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

Doran, N. J.

Essiambre, R.-J.

R.-J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[Crossref]

R.-J. Essiambre, G. Raybon, and B. Mikkelson, in Optical Fiber Telecommunications IV B: Systems and Impairments, I. P. Kaminow and T. Li, eds. (Academic, 2002).

Gnauck, A. H.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

Gray, A.

Z. Huang, A. Gray, I. Khrushchev, and I. Bennion, IEEE Photon. Technol. Lett. 16, 2526 (2004).
[Crossref]

Hainberger, R.

R. Hainberger, T. Hoshita, T. Terahara, and H. Onaka, IEEE Photon. Technol. Lett. 14, 471 (2002).
[Crossref]

Hansryd, J.

J. Hansryd, J. van Howe, and C. Xu, IEEE Photon. Technol. Lett. 17, 232 (2005).
[Crossref]

Hirooka, T.

T. Hirooka and M. J. Ablowitz, IEEE Photon. Technol. Lett. 14, 316 (2002).
[Crossref]

Hoshita, T.

R. Hainberger, T. Hoshita, T. Terahara, and H. Onaka, IEEE Photon. Technol. Lett. 14, 471 (2002).
[Crossref]

Huang, Z.

Z. Huang, A. Gray, I. Khrushchev, and I. Bennion, IEEE Photon. Technol. Lett. 16, 2526 (2004).
[Crossref]

Johannisson, P.

Khrushchev, I.

Z. Huang, A. Gray, I. Khrushchev, and I. Bennion, IEEE Photon. Technol. Lett. 16, 2526 (2004).
[Crossref]

Levenson, J. A.

Liu, X.

Lovering, D. J.

Mamyshev, P. V.

Mamysheva, N. A.

Martensson, J.

McKinstrie, C. J.

Mecozzi, A.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

Merlaud, F.

F. Merlaud and S. K. Turitsyn, in Procedings of the 26th European Conference on Optical Communication (VDE Verlag, 2000), paper 7.2.4.

Mikkelsen, B.

R.-J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[Crossref]

Mikkelson, B.

R.-J. Essiambre, G. Raybon, and B. Mikkelson, in Optical Fiber Telecommunications IV B: Systems and Impairments, I. P. Kaminow and T. Li, eds. (Academic, 2002).

Mortimore, D. B.

D. B. Mortimore, J. Lightwave Technol. 6, 1217 (1988).
[Crossref]

Olsson, N. A.

G. P. Agrawal and N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[Crossref]

Onaka, H.

R. Hainberger, T. Hoshita, T. Terahara, and H. Onaka, IEEE Photon. Technol. Lett. 14, 471 (2002).
[Crossref]

Park, S.-G.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

Plant, D. V.

H. Wei and D. V. Plant, Opt. Express 12, 4282 (2004).
[Crossref] [PubMed]

H. Wei and D. V. Plant, in Proc. SPIE 5178, 139 (2003).

Raybon, G.

R.-J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[Crossref]

R.-J. Essiambre, G. Raybon, and B. Mikkelson, in Optical Fiber Telecommunications IV B: Systems and Impairments, I. P. Kaminow and T. Li, eds. (Academic, 2002).

Russell, P. St. J.

Schmauss, B.

Shtaif, M.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

Slusher, R. E.

Striegler, A. G.

Terahara, T.

R. Hainberger, T. Hoshita, T. Terahara, and H. Onaka, IEEE Photon. Technol. Lett. 14, 471 (2002).
[Crossref]

Turitsyn, S. K.

F. Merlaud and S. K. Turitsyn, in Procedings of the 26th European Conference on Optical Communication (VDE Verlag, 2000), paper 7.2.4.

van Howe, J.

J. Hansryd, J. van Howe, and C. Xu, IEEE Photon. Technol. Lett. 17, 232 (2005).
[Crossref]

Vidakovic, P.

Webjrn, J.

Wei, H.

H. Wei and D. V. Plant, Opt. Express 12, 4282 (2004).
[Crossref] [PubMed]

H. Wei and D. V. Plant, in Proc. SPIE 5178, 139 (2003).

Wei, X.

Wood, D.

Xu, C.

J. Hansryd, J. van Howe, and C. Xu, IEEE Photon. Technol. Lett. 17, 232 (2005).
[Crossref]

C. Xu and X. Liu, Opt. Lett. 27, 1619 (2002).
[Crossref]

Electron. Lett. (1)

R.-J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[Crossref]

IEEE J. Quantum Electron. (1)

G. P. Agrawal and N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[Crossref]

IEEE Photon. Technol. Lett. (5)

J. Hansryd, J. van Howe, and C. Xu, IEEE Photon. Technol. Lett. 17, 232 (2005).
[Crossref]

Z. Huang, A. Gray, I. Khrushchev, and I. Bennion, IEEE Photon. Technol. Lett. 16, 2526 (2004).
[Crossref]

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[Crossref]

T. Hirooka and M. J. Ablowitz, IEEE Photon. Technol. Lett. 14, 316 (2002).
[Crossref]

R. Hainberger, T. Hoshita, T. Terahara, and H. Onaka, IEEE Photon. Technol. Lett. 14, 471 (2002).
[Crossref]

J. Lightwave Technol. (2)

Opt. Express (1)

Opt. Lett. (6)

Proc. SPIE (1)

H. Wei and D. V. Plant, in Proc. SPIE 5178, 139 (2003).

Other (3)

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).

F. Merlaud and S. K. Turitsyn, in Procedings of the 26th European Conference on Optical Communication (VDE Verlag, 2000), paper 7.2.4.

R.-J. Essiambre, G. Raybon, and B. Mikkelson, in Optical Fiber Telecommunications IV B: Systems and Impairments, I. P. Kaminow and T. Li, eds. (Academic, 2002).

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Figures (1)

Fig. 1
Fig. 1

Optical eye diagrams at the end of transmissions: top, conventional design without translation symmetry; middle, system with a scaled translation symmetry; bottom, system with scaled translation symmetry and midspan SPM.

Equations (3)

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

u k z + i β 2 ( z ) 2 2 u k t 2 + α ( z ) 2 u k = i γ ( z ) m n u m u n u m + n k * , k Z ,
u k ( z , t ) 0 z i γ ( s ) m k n k u m ( s , t ) u n ( s , t ) u m + n k * ( s , t ) d s .
L L + L i γ ( z ) m k n k u m ( z , t ) u n ( z , t ) u m + n k * ( z , t ) d z u k ( L , t ) = 0 L i γ ( z ) m k n k u m ( z , t ) u n ( z , t ) u m + n k * ( z , t ) d z ,

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