Abstract

Nonlinear intrachannel interactions in a transmission system with strong periodic dispersion management are studied. The ghost pulse at the zero bit is shown to grow resonantly as a result of periodic forcing and temporal phase matching with the signal pulses. The growth rate depends on the degree of overlap between the signals. The analysis agrees with direct numerical simulation of the full system. Growth rates for various bit patterns as a function of map strength are obtained.

© 2000 Optical Society of America

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References

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  1. C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993).
    [CrossRef]
  2. R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
    [CrossRef]
  3. N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.
  4. M. J. Ablowitz, G. Biondini, and T. Hirooka, “On quasi-linear dispersion-managed transmission systems,” submitted to Opt. Lett.
  5. T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.
  6. I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
    [CrossRef]
  7. R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
    [CrossRef]
  8. P. V. Mamyshev and N. A. Mamysheva, Opt. Lett. 24, 1454 (1999).
    [CrossRef]
  9. A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
    [CrossRef]
  10. M. J. Ablowitz, G. Biondini, S. Chakravarty, R. B. Jenkins, and J. R. Sauer, Opt. Lett. 21, 1646 (1996).
    [CrossRef] [PubMed]
  11. M. J. Ablowitz, G. Biondini, and E. S. Olson, in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer, Dordrecht, The Netherlands, 2000), pp. 75–114.

2000 (1)

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[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]

1998 (1)

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

1996 (1)

1995 (1)

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

1993 (1)

C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993).
[CrossRef]

Ablowitz, M. J.

M. J. Ablowitz, G. Biondini, S. Chakravarty, R. B. Jenkins, and J. R. Sauer, Opt. Lett. 21, 1646 (1996).
[CrossRef] [PubMed]

M. J. Ablowitz, G. Biondini, and E. S. Olson, in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer, Dordrecht, The Netherlands, 2000), pp. 75–114.

M. J. Ablowitz, G. Biondini, and T. Hirooka, “On quasi-linear dispersion-managed transmission systems,” submitted to Opt. Lett.

Abramov, A. A.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Bergano, N. S.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Biondini, G.

M. J. Ablowitz, G. Biondini, S. Chakravarty, R. B. Jenkins, and J. R. Sauer, Opt. Lett. 21, 1646 (1996).
[CrossRef] [PubMed]

M. J. Ablowitz, G. Biondini, and E. S. Olson, in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer, Dordrecht, The Netherlands, 2000), pp. 75–114.

M. J. Ablowitz, G. Biondini, and T. Hirooka, “On quasi-linear dispersion-managed transmission systems,” submitted to Opt. Lett.

Chakravarty, S.

Chraplyvy, A. R.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Clausen, C. B.

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

Corbett, P. C.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Darcie, J. M.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Davidson, C. R.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Derosier, R. M.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Essiambre, R. J.

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

Evangelides, S. G.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Forghieri, F.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Fujii, K.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Fukuchi, K.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Gnauck, A. H.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Golovchenko, E.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Harumoto, M.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Hirooka, T.

M. J. Ablowitz, G. Biondini, and T. Hirooka, “On quasi-linear dispersion-managed transmission systems,” submitted to Opt. Lett.

Inada, Y.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Ito, T.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Jenkins, R. B.

Kakui, M.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Kawanishi, S.

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

Kidorf, H. D.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Kurtzke, C.

C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993).
[CrossRef]

Ma, M.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Mamyshev, P. V.

Mamysheva, N. A.

Mecozzi, A.

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

Menges, R.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Mikkelsen, B.

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

Mills, M. A.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Mori, K.

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

Olson, E. S.

M. J. Ablowitz, G. Biondini, and E. S. Olson, in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer, Dordrecht, The Netherlands, 2000), pp. 75–114.

Peckham, D.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Pedersen, B.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Pillipetskii, A.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Raybon, G.

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

Rottwitt, K.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Sauer, J. R.

Shake, I.

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

Shtaif, M.

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

Takara, H.

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

Tkach, R. W.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Tsuzaki, T.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

Vengsarkar, A. M.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

Yamabayashi, Y.

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

Electron. Lett. (2)

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, Electron. Lett. 34, 1600 (1998).
[CrossRef]

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

IEEE J. Lightwave Technol. (1)

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, IEEE J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993).
[CrossRef]

Opt. Lett. (2)

Other (4)

M. J. Ablowitz, G. Biondini, and E. S. Olson, in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer, Dordrecht, The Netherlands, 2000), pp. 75–114.

N. S. Bergano, C. R. Davidson, M. Ma, A. Pillipetskii, S. G. Evangelides, H. D. Kidorf, J. M. Darcie, E. Golovchenko, K. Rottwitt, P. C. Corbett, R. Menges, M. A. Mills, B. Pedersen, D. Peckham, A. A. Abramov, and A. M. Vengsarkar, in Optical Fiber Communication Conference (OFC) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.

M. J. Ablowitz, G. Biondini, and T. Hirooka, “On quasi-linear dispersion-managed transmission systems,” submitted to Opt. Lett.

T. Ito, K. Fukuchi, Y. Inada, T. Tsuzaki, M. Harumoto, M. Kakui, and K. Fujii, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD24; C. R. Davidson, C. J. Chen, M. Nissov, A. Pilipetskii, N. Ramanujam, H. D. Kidorf, B. Pedersen, M. A. Mills, C. Lin, M. I. Hayee, J. X. Cai, A. B. Puc, P. C. Corbett, R. Menges, H. Li, A. Elyamani, C. Rivers, and N. S. Bergano, in Digest of Optical Fiber Communication Conference (Optical Society of America, Washington, D.C., 2000), postdeadline paper PD25.

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Figures (2)

Fig. 1
Fig. 1

Growth of ghost-pulse energy at the zero bit in a 1101 bit pattern, schematically shown in the inset. The solid curve is a result of direct numerical simulation of Eq. (1); the dashed curve is the result obtained from Eq. (12) below: Wz=3.29×10-5 z2.

Fig. 2
Fig. 2

Growth rate of the ghost pulse at the zero bit in bit patterns 11011, 111011, and 1110111 versus s. All parameters except s are the same as in Fig. 1.

Equations (12)

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

iuz+Dz22ut2+gzu2u=0.
iqz+Dz22qt2=-gzul*umun
ukz,t=12π- expikTω-iCzω2/2-iωtdω,  =12πCz expit-kT2/2Cz,
iqˆz-Dz2ω2qˆ=-Gzexpim+n-lωT-iCzω2/2,  Gz=gz2πCz expim2+n2-l2-m+n+l2T2/2Cz.
ukz,t=α2πξz exp-t-kT22ξz,  ξz=β+iCz,
iqˆz-Dz2ω2qˆ=-Azπaz×exp-czT2-ω-ibzT24az,
Az=gα32π3/2ξ2ξ,  az=121ξ*+2ξ,  bz=lξ*+m+nξ,  cz=12l2ξ*+m2+n2ξ
qˆz,ω=i exp-iCzω2/20zPz,ωdz,
Pz,ω=Azπaz exp-czT2-ω-ibzT24az+iCzω2/2.
Pz,ω=P0ω+n0Pnωexp2πinz/za.
qˆz,ω=i exp-iCzω2/2P0ωz+n0Pnωiza2πn1-exp2πinz/za.
Wz=z22π-P0ω2dω.

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