Abstract

A scheme is proposed for high-bandwidth, robust data transmission in silica fibers in the normal-dispersion regime. The scheme uses a uniform periodic train of dark solitons to eliminate completely the dispersion of a data stream encoded in linear pulses of small but otherwise arbitrary amplitude in the orthogonal polarization. Data pulses carried by dark solitons of differing contrast do not interfere with one another when the solitons collide. Thus many channels, each associated with a different contrast, can be multiplexed on the same fiber.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 171 (1973).
    [CrossRef]
  2. Y. S. Kivshar, IEEE J. Quantum Electron. 29, 250 (1993).
    [CrossRef]
  3. P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
    [CrossRef]
  4. D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
    [CrossRef] [PubMed]
  5. A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
    [CrossRef] [PubMed]
  6. K. M. Allen, N. J. Doran, N. J. Smith, J. A. R. Williams, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 236–238.
  7. W. Zhao, E. Bourkoff, J. Opt. Soc. Am. B 9, 1134 (1992).
    [CrossRef]
  8. M. Nakazawa, K. Suzuki, Electron. Lett. 31, 1076 (1995).
    [CrossRef]
  9. J. A. Giannini, R. I. Joseph, IEEE J. Quantum Electron. 26, 2109 (1990).
    [CrossRef]
  10. Yu. S. Kivshar, M. Haelterman, Ph. Emplit, Opt. Lett. 19, 19 (1994).
    [CrossRef] [PubMed]
  11. D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
    [CrossRef]
  12. C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
    [CrossRef]
  13. P. K. A. Wai, C. R. Menyuk, H. H. Chen, Opt. Lett. 16, 1231 (1991).
    [CrossRef] [PubMed]
  14. S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
    [CrossRef]
  15. N. N. Akhmediev, A. Ankiewicz, Opt. Commun. 100, 186 (1993).
    [CrossRef]
  16. P. D. Miller, Phys. Rev. E 53, 4137 (1996).
    [CrossRef]
  17. M. G. Forest, J. E. Lee, in Oscillation Theory, Computation, and Methods of Compensated Compactness, C. Dafermos, ed., Vol. 2 of IMA Volumes in Mathematics and Its Applications ( Springer-Verlag, New York, 1986), pp. 35–69.
    [CrossRef]
  18. A. Sheppard, Service d’Optique et Acoustique, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium (personal communication, 1996).
  19. M. Haelterman, M. Badolo, Opt. Lett. 20, 2285 (1995).
    [CrossRef] [PubMed]

1996

P. D. Miller, Phys. Rev. E 53, 4137 (1996).
[CrossRef]

1995

M. Haelterman, M. Badolo, Opt. Lett. 20, 2285 (1995).
[CrossRef] [PubMed]

M. Nakazawa, K. Suzuki, Electron. Lett. 31, 1076 (1995).
[CrossRef]

1994

D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
[CrossRef]

Yu. S. Kivshar, M. Haelterman, Ph. Emplit, Opt. Lett. 19, 19 (1994).
[CrossRef] [PubMed]

1993

N. N. Akhmediev, A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

Y. S. Kivshar, IEEE J. Quantum Electron. 29, 250 (1993).
[CrossRef]

1992

W. Zhao, E. Bourkoff, J. Opt. Soc. Am. B 9, 1134 (1992).
[CrossRef]

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

1991

1990

J. A. Giannini, R. I. Joseph, IEEE J. Quantum Electron. 26, 2109 (1990).
[CrossRef]

1989

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

1988

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

1987

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

1973

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 171 (1973).
[CrossRef]

Akhmediev, N. N.

N. N. Akhmediev, A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

Allen, K. M.

K. M. Allen, N. J. Doran, N. J. Smith, J. A. R. Williams, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 236–238.

Ankiewicz, A.

N. N. Akhmediev, A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

Badolo, M.

Barthelemy, A.

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Bergano, N. S.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Bourkoff, E.

Chamberlin, R. P.

D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
[CrossRef]

Chen, H. H.

Dong, L.

D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
[CrossRef]

Doran, N. J.

K. M. Allen, N. J. Doran, N. J. Smith, J. A. R. Williams, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 236–238.

Emplit, P.

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Emplit, Ph.

Evangelides, S. G.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Forest, M. G.

M. G. Forest, J. E. Lee, in Oscillation Theory, Computation, and Methods of Compensated Compactness, C. Dafermos, ed., Vol. 2 of IMA Volumes in Mathematics and Its Applications ( Springer-Verlag, New York, 1986), pp. 35–69.
[CrossRef]

Froehly, C.

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Giannini, J. A.

J. A. Giannini, R. I. Joseph, IEEE J. Quantum Electron. 26, 2109 (1990).
[CrossRef]

Giuliani, G.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Gordon, J. P.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Grischkowsky, D.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Haelterman, M.

Halas, N. J.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Hamade, J. P.

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Hasegawa, A.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 171 (1973).
[CrossRef]

Hawkins, R. J.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Heritage, J. P.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Joseph, R. I.

J. A. Giannini, R. I. Joseph, IEEE J. Quantum Electron. 26, 2109 (1990).
[CrossRef]

Kirschner, E. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Kivshar, Y. S.

Y. S. Kivshar, IEEE J. Quantum Electron. 29, 250 (1993).
[CrossRef]

Kivshar, Yu. S.

Krökel, D.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Leaird, D. E.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Lee, J. E.

M. G. Forest, J. E. Lee, in Oscillation Theory, Computation, and Methods of Compensated Compactness, C. Dafermos, ed., Vol. 2 of IMA Volumes in Mathematics and Its Applications ( Springer-Verlag, New York, 1986), pp. 35–69.
[CrossRef]

Menyuk, C. R.

Miller, P. D.

P. D. Miller, Phys. Rev. E 53, 4137 (1996).
[CrossRef]

Mollenauer, L. F.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Nakazawa, M.

M. Nakazawa, K. Suzuki, Electron. Lett. 31, 1076 (1995).
[CrossRef]

Payne, D. N.

D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
[CrossRef]

Reynaud, R.

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Richardson, D. J.

D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
[CrossRef]

Sheppard, A.

A. Sheppard, Service d’Optique et Acoustique, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium (personal communication, 1996).

Smith, N. J.

K. M. Allen, N. J. Doran, N. J. Smith, J. A. R. Williams, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 236–238.

Suzuki, K.

M. Nakazawa, K. Suzuki, Electron. Lett. 31, 1076 (1995).
[CrossRef]

Tappert, F.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 171 (1973).
[CrossRef]

Thurston, R. N.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Tomlinson, W. J.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Wai, P. K. A.

Weiner, A. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Williams, J. A. R.

K. M. Allen, N. J. Doran, N. J. Smith, J. A. R. Williams, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 236–238.

Zhao, W.

Appl. Phys. Lett.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 171 (1973).
[CrossRef]

Electron. Lett.

M. Nakazawa, K. Suzuki, Electron. Lett. 31, 1076 (1995).
[CrossRef]

D. J. Richardson, R. P. Chamberlin, L. Dong, D. N. Payne, Electron. Lett. 30, 1326 (1994).
[CrossRef]

IEEE J. Quantum Electron.

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

J. A. Giannini, R. I. Joseph, IEEE J. Quantum Electron. 26, 2109 (1990).
[CrossRef]

Y. S. Kivshar, IEEE J. Quantum Electron. 29, 250 (1993).
[CrossRef]

J. Lightwave Technol.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

N. N. Akhmediev, A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

P. Emplit, J. P. Hamade, R. Reynaud, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Opt. Lett.

Phys. Rev. E

P. D. Miller, Phys. Rev. E 53, 4137 (1996).
[CrossRef]

Phys. Rev. Lett.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Other

K. M. Allen, N. J. Doran, N. J. Smith, J. A. R. Williams, in Nonlinear Guided Waves and Their Applications, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 236–238.

M. G. Forest, J. E. Lee, in Oscillation Theory, Computation, and Methods of Compensated Compactness, C. Dafermos, ed., Vol. 2 of IMA Volumes in Mathematics and Its Applications ( Springer-Verlag, New York, 1986), pp. 35–69.
[CrossRef]

A. Sheppard, Service d’Optique et Acoustique, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium (personal communication, 1996).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Schematic diagram of the temporal pump and signal wave trains for a single channel. The intensity of the pump (signal) is shown with a solid (dashed) curve. Note that, whereas the dispersionless pulses carried by the train of dark solitons all have the same width, their amplitudes are arbitrary.

Fig. 2
Fig. 2

Linear pulses carried by dark solitons survive collisions just as dark solitons themselves do. The curves are marked as in Fig. 1.

Equations (4)

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

i p z 1 2 2 p t 2 + | p | 2 p = 0 ,
i s z 1 2 2 s t 2 + | p | 2 s = 0
p ( z , t ) = A p { 1 C 2 + i C tanh [ μ ( z υ t ) ] } × exp [ i ( k p z ω p t + θ p ) ] ,
s ( z , t ) = A s sech [ μ ( z υ t ) ] exp [ i ( k s z ω s t + θ s ) ] ,

Metrics