Abstract

We show that in principle it is possible to cancel third-order nonlinear effects in optical fiber links. The necessary conditions exist in two-segment links, with dispersion compensation, phase conjugation, and amplification between the two, as well as opposite chromatic dispersion coefficients in the segments. The cancellation is independent of loss, modulation format, and modulation frequency.

© 1995 Optical Society of America

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References

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  1. A. R. Chraplyvy, J. Lightwave Technol. 8, 1548 (1990).
    [Crossref]
  2. K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
    [Crossref]
  3. C. G. Poole, in Optical Fiber Communication Conference, Vol. 4 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), tutorial session ThJ.
  4. Y. Aoki, in Digest of LEOS ’93 Summer Topical Meeting on the Impact of Fiber Nonlinearities on Lightwave Systems (IEEE Laser and Electro-Optics Society, New York, 1993), p. 13.
  5. A. Yariv, D. Fekete, D. M. Pepper, Opt. Lett. 4, 52 (1979).
    [Crossref] [PubMed]
  6. S. Watanabe, T. Naito, T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
    [Crossref]
  7. C. D. Poole, J. M. Wiesenfeld, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
    [Crossref]
  8. K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
    [Crossref]
  9. M. C. Tatham, G. Sherlock, L. D. Westbrook, IEEE Photon. Technol. Lett. 5, 1303 (1993).
    [Crossref]
  10. K. Inoue, Opt. Lett. 11, 801 (1992).
    [Crossref]
  11. T. Hasegawa, K. Inoue, K. Oda, IEEE Photon Technol. Lett. 5, 947 (1993).
    [Crossref]
  12. S. Watanabe, Opt. Lett. 19, 1308 (1994).
    [Crossref] [PubMed]
  13. N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.
  14. S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, H. Kuwahara, IEEE Photon. Technol. Lett. 5, 1241 (1993).
    [Crossref]
  15. W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
    [Crossref]

1994 (2)

S. Watanabe, Opt. Lett. 19, 1308 (1994).
[Crossref] [PubMed]

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

1993 (5)

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]

C. D. Poole, J. M. Wiesenfeld, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[Crossref]

M. C. Tatham, G. Sherlock, L. D. Westbrook, IEEE Photon. Technol. Lett. 5, 1303 (1993).
[Crossref]

T. Hasegawa, K. Inoue, K. Oda, IEEE Photon Technol. Lett. 5, 947 (1993).
[Crossref]

1992 (2)

K. Inoue, Opt. Lett. 11, 801 (1992).
[Crossref]

K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
[Crossref]

1990 (1)

A. R. Chraplyvy, J. Lightwave Technol. 8, 1548 (1990).
[Crossref]

1979 (1)

1978 (1)

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
[Crossref]

Aoki, Y.

Y. Aoki, in Digest of LEOS ’93 Summer Topical Meeting on the Impact of Fiber Nonlinearities on Lightwave Systems (IEEE Laser and Electro-Optics Society, New York, 1993), p. 13.

Breuer, D.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

Chiang, T.-K.

N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.

Chikama, T.

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]

Chraplyvy, A. R.

A. R. Chraplyvy, J. Lightwave Technol. 8, 1548 (1990).
[Crossref]

DiGiovanni, D. J.

C. D. Poole, J. M. Wiesenfeld, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[Crossref]

Fekete, D.

Fong, T. K.

N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.

Hasegawa, T.

T. Hasegawa, K. Inoue, K. Oda, IEEE Photon Technol. Lett. 5, 947 (1993).
[Crossref]

Hill, K. O.

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
[Crossref]

Inoue, K.

T. Hasegawa, K. Inoue, K. Oda, IEEE Photon Technol. Lett. 5, 947 (1993).
[Crossref]

K. Inoue, Opt. Lett. 11, 801 (1992).
[Crossref]

K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
[Crossref]

Ishikawa, G.

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

Johnson, D. C.

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
[Crossref]

Kagi, N.

N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.

Kawasaki, B. S.

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
[Crossref]

Kazovsky, L. G.

N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.

Kurtzke, C.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

Kuwahara, H.

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

Ludwig, R.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

MacDonald, R. I.

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
[Crossref]

Marhic, M. E.

N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.

Naito, T.

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

Oda, K.

T. Hasegawa, K. Inoue, K. Oda, IEEE Photon Technol. Lett. 5, 947 (1993).
[Crossref]

Pepper, D. M.

Pertermann, K.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

Pieper, W.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

Poole, C. D.

C. D. Poole, J. M. Wiesenfeld, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[Crossref]

Poole, C. G.

C. G. Poole, in Optical Fiber Communication Conference, Vol. 4 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), tutorial session ThJ.

Schnabel, R.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

Sherlock, G.

M. C. Tatham, G. Sherlock, L. D. Westbrook, IEEE Photon. Technol. Lett. 5, 1303 (1993).
[Crossref]

Tatham, M. C.

M. C. Tatham, G. Sherlock, L. D. Westbrook, IEEE Photon. Technol. Lett. 5, 1303 (1993).
[Crossref]

Terahara, T.

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

Watanabe, S.

S. Watanabe, Opt. Lett. 19, 1308 (1994).
[Crossref] [PubMed]

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]

Weber, H. G.

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

Westbrook, L. D.

M. C. Tatham, G. Sherlock, L. D. Westbrook, IEEE Photon. Technol. Lett. 5, 1303 (1993).
[Crossref]

Wiesenfeld, J. M.

C. D. Poole, J. M. Wiesenfeld, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[Crossref]

Yariv, A.

Electron. Lett. (1)

W. Pieper, C. Kurtzke, R. Schnabel, D. Breuer, R. Ludwig, K. Pertermann, H. G. Weber, Electron. Lett. 30, 724 (1994).
[Crossref]

IEEE Photon Technol. Lett. (1)

T. Hasegawa, K. Inoue, K. Oda, IEEE Photon Technol. Lett. 5, 947 (1993).
[Crossref]

IEEE Photon. Technol. Lett. (4)

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]

C. D. Poole, J. M. Wiesenfeld, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[Crossref]

M. C. Tatham, G. Sherlock, L. D. Westbrook, IEEE Photon. Technol. Lett. 5, 1303 (1993).
[Crossref]

J. Appl. Phys. (1)

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. MacDonald, J. Appl. Phys. 49, 5098 (1978).
[Crossref]

J. Lightwave Technol. (2)

A. R. Chraplyvy, J. Lightwave Technol. 8, 1548 (1990).
[Crossref]

K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
[Crossref]

Opt. Lett. (3)

Other (3)

N. Kagi, T.-K. Chiang, T. K. Fong, M. E. Marhic, L. G. Kazovsky, in Digest of LEOS ’94, 7th Annual Meeting (IEEE Laser and Electro-Optics Society, New York, 1994), Vol. 1, p. 188.

C. G. Poole, in Optical Fiber Communication Conference, Vol. 4 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), tutorial session ThJ.

Y. Aoki, in Digest of LEOS ’93 Summer Topical Meeting on the Impact of Fiber Nonlinearities on Lightwave Systems (IEEE Laser and Electro-Optics Society, New York, 1993), p. 13.

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Figures (2)

Fig. 1
Fig. 1

Overall schematic of the two-segment system.

Fig. 2
Fig. 2

Schematic of the dispersion compensator.

Equations (14)

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

E k ( L ) = E k exp [ ( α 2 i β k ) L ] , k = 2 , 3 , 4 ,
E 1 ( L ) = iKE 2 * E 3 E 4 exp [ ( α 2 i β 1 ) L ] H .
H = exp [ ( α + i Δ β ) L ] 1 i Δ β α ,
K = π ω 1 χ ( 3 ) 2 n 1 c ,
Δ β = β 3 + β 4 β 1 β 2 .
β ( ω ) = β ( 0 ) + β ( 1 ) ( ω ω 0 ) + 1 2 β ( 2 ) ( ω ω 0 ) 2 .
Δ β = λ 0 2 2 π c ( ω 3 ω 2 ) ( ω 4 ω 2 ) D ,
E k d = E k exp ( α L 2 ) exp { i [ a + b ( ω k ω 0 ) ] } , k = 2 , 3 , 4 ,
E 1 d = iKHE 2 * E 3 E 4 exp ( α L 2 ) exp { i [ a + b ( ω 1 ω 0 ) ] } .
E k = iR ( E k d ) * .
E 1 ( 2 L ) = iK ( G 1 / 2 E 2 ) * G 1 / 2 E 3 G 1 / 2 E 4 × exp [ ( α 2 + i β 1 ) L ] H = KG 3 / 2 RE 2 d ( RE 3 d ) * ( RE 4 d ) * × exp [ ( α 2 + i β 1 ) L ] H = KE 2 E 3 * E 4 * exp ( α L 2 ) × exp { i [ a + b ( ω 1 ω 0 ) β 1 L ] } H ,
E 1 ( 2 L ) = G 1 / 2 E 1 exp ( α L 2 ) exp ( i β 1 L ) = KRG 1 / 2 exp ( α L 2 ) E 2 E 3 * E 4 * exp ( α L 2 ) × exp { i [ a + b ( ω 1 ω 0 ) β 1 L ] } H * .
Δ β = ( λ 0 ) 2 2 π c ( ω 3 ω 2 ) ( ω 4 ω 2 ) D = ( λ 0 ) 2 2 π c ( ω 3 ω 2 ) ( ω 4 ω 2 ) D .
( λ 0 ) 2 D = ( λ 0 ) 2 D ,

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