Abstract

We propose the use of a dispersive medium with a negative nonlinear refractive-index coefficient as a way to compensate for the dispersion and the nonlinear effects resulting from pulse propagation in an optical fiber. The undoing of pulse interaction might allow for increased bit rates.

© 1996 Optical Society of America

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References

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1995

1993

S. Watanabe, T. Naito, T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

M. C. Tatham, G. Sherlock, L. D. Westbrook, Electron. Lett. 29, 1851 (1993).
[CrossRef]

1992

1991

K. J. Blow, N. J. Doran, IEEE Photon. Technol. Lett. 3, 369 (1991).
[CrossRef]

1990

1983

1979

Agrawal, G. P.

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

Aichison, J. S.

A. Villeneuve, P. Dumais, A. Morel, J. S. Aichison, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD2; P. Dumais, A. Villeneuve, J. S. Aitchison, Opt. Lett. 21, 260 (1996); M. J. Lagasse, K. K. Anderson, C. A. Wang, H. A. Haus, J. G. Fugimoto, Appl. Phys. Lett. 56, 417 (1990).
[CrossRef] [PubMed]

Blow, K. J.

K. J. Blow, N. J. Doran, IEEE Photon. Technol. Lett. 3, 369 (1991).
[CrossRef]

Brooks, C. J.

Chiang, T.-K.

Chikama, T.

S. Watanabe, T. Naito, T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

DeSalvo, R.

Doran, N. J.

K. J. Blow, N. J. Doran, IEEE Photon. Technol. Lett. 3, 369 (1991).
[CrossRef]

Dumais, P.

A. Villeneuve, P. Dumais, A. Morel, J. S. Aichison, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD2; P. Dumais, A. Villeneuve, J. S. Aitchison, Opt. Lett. 21, 260 (1996); M. J. Lagasse, K. K. Anderson, C. A. Wang, H. A. Haus, J. G. Fugimoto, Appl. Phys. Lett. 56, 417 (1990).
[CrossRef] [PubMed]

Fekete, D.

Fisher, R. A.

Hagan, D. J.

Hasegawa, A.

Inoue, K.

Ishikawa, G.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

Kagi, N.

Kazovsky, L. G.

Kodama, Y.

Kuwahara, H.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

Marhic, M. E.

Morel, A.

A. Villeneuve, P. Dumais, A. Morel, J. S. Aichison, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD2; P. Dumais, A. Villeneuve, J. S. Aitchison, Opt. Lett. 21, 260 (1996); M. J. Lagasse, K. K. Anderson, C. A. Wang, H. A. Haus, J. G. Fugimoto, Appl. Phys. Lett. 56, 417 (1990).
[CrossRef] [PubMed]

Naito, T.

S. Watanabe, T. Naito, T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

Pepper, D. M.

Sheik-Bahae, M.

Sherlock, G.

M. C. Tatham, G. Sherlock, L. D. Westbrook, Electron. Lett. 29, 1851 (1993).
[CrossRef]

Stegeman, G.

Suydam, B. R.

Takahashi, H.

Tatham, M. C.

M. C. Tatham, G. Sherlock, L. D. Westbrook, Electron. Lett. 29, 1851 (1993).
[CrossRef]

Terahara, T.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

Van Stryland, E. W.

Vanherzeele, H.

Villeneuve, A.

A. Villeneuve, P. Dumais, A. Morel, J. S. Aichison, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD2; P. Dumais, A. Villeneuve, J. S. Aitchison, Opt. Lett. 21, 260 (1996); M. J. Lagasse, K. K. Anderson, C. A. Wang, H. A. Haus, J. G. Fugimoto, Appl. Phys. Lett. 56, 417 (1990).
[CrossRef] [PubMed]

Vossler, G. L.

Watanabe, S.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

S. Watanabe, T. Naito, T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

Westbrook, L. D.

M. C. Tatham, G. Sherlock, L. D. Westbrook, Electron. Lett. 29, 1851 (1993).
[CrossRef]

Winick, K. A.

Yariv, A.

Yevick, D.

Electron. Lett.

M. C. Tatham, G. Sherlock, L. D. Westbrook, Electron. Lett. 29, 1851 (1993).
[CrossRef]

IEEE Photon. Technol. Lett.

S. Watanabe, T. Naito, T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
[CrossRef]

K. J. Blow, N. J. Doran, IEEE Photon. Technol. Lett. 3, 369 (1991).
[CrossRef]

Opt. Lett.

Other

A. Villeneuve, P. Dumais, A. Morel, J. S. Aichison, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD2; P. Dumais, A. Villeneuve, J. S. Aitchison, Opt. Lett. 21, 260 (1996); M. J. Lagasse, K. K. Anderson, C. A. Wang, H. A. Haus, J. G. Fugimoto, Appl. Phys. Lett. 56, 417 (1990).
[CrossRef] [PubMed]

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

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Figures (4)

Fig. 1
Fig. 1

Signal degradation along a communication line when only the dispersion is compensated for. The propagation distance is normalized to the dispersion length in the fiber.

Fig. 2
Fig. 2

Signal evolution with the proposed compensation scheme under nonideal conditions. Distributed amplification is replaced with an increased lumped amplification.

Fig. 3
Fig. 3

Pulse interaction in a system based on the technique of the average soliton (without filtering).

Fig. 4
Fig. 4

Evolution of the same signal as in Fig. 3 with the compensation scheme based on a negative nonlinearity.

Equations (9)

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

A j z j = - i β 2 j 2 2 A j τ j 2 - α j 2 A j + i γ j A j 2 A j ,
ξ 1 = z 1 L 1 ,             ξ 2 = L 2 - z 2 L 2 ,
u 1 = A 1 a 0 ,             u 2 = A 2 q A 0 ,
u 1 ξ 1 = - i β 21 L 1 2 2 u 1 τ 2 - α 1 L 1 2 u 1 + i γ 1 L 1 A 0 2 u 1 2 u 1 ,
u 2 ξ 2 = + i β 22 L 2 2 2 u 2 τ 2 + α 2 L 2 2 u 2 - i γ 2 L 2 q 2 A 0 2 u 2 2 u 2 ,
u 2 ( ξ 2 = 1 , τ ) = u 1 ( ξ 1 = 1 , τ ) .
β 22 L 2 = - β 21 L 1 ,
α 2 L 2 = - α 1 L 1 ,
q = ( β 22 β 21 γ 1 γ 2 ) 1 / 2 .

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