Abstract

We report the results of numerical studies of the fission of N-soliton bound states at the interface formed by a Kerr nonlinear medium and a linear dielectric in a planar waveguide. A variety of effects are shown to occur, with applications to all-optical eigenvalue soliton control.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, Oxford, 1994).
  2. P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, Opt. Lett. 11, 464 (1986).
    [CrossRef] [PubMed]
  3. K. Tai, A. Hasegawa, and N. Bekki, Opt. Lett. 13, 392 (1988).
    [CrossRef]
  4. V. V. Afanasyev, V. A. Vysloukh, and V. N. Serkin, Opt. Lett. 15, 489 (1990).
    [CrossRef] [PubMed]
  5. Y. Silberberg, Opt. Lett. 15, 1005 (1990).
    [CrossRef] [PubMed]
  6. S. R. Friberg and K. W. DeLong, Opt. Lett. 17, 979 (1992).
    [CrossRef] [PubMed]
  7. V. A. Vysloukh, V. N. Serkin, and J. R. Taylor, Electron. Lett. 29, 12 (1993).
    [CrossRef]
  8. M. Golles, I. M. Uzunov, and F. Lederer, Phys. Lett. A 231, 195 (1997).
    [CrossRef]
  9. M. Nakazawa, H. Kubota, and K. Tamura, Opt. Lett. 24, 318 (1999).
    [CrossRef]
  10. A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993).
    [CrossRef]
  11. L. Torner, J. P. Torres, and C. R. Menyuk, Opt. Lett. 21, 462 (1996).
    [CrossRef]
  12. A. E. Kaplan, JETP Lett. 24, 114 (1976).
  13. A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).
  14. P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
    [CrossRef]
  15. P. W. Smith and W. J. Tomlinson, IEEE J. Quantum Electron. 20, 30 (1984).
    [CrossRef]
  16. E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
    [CrossRef]
  17. J. Scheuer and M. Orenstein, Opt. Lett. 24, 1735 (1999).
    [CrossRef]
  18. I. Shadrirov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
    [CrossRef]
  19. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
    [CrossRef] [PubMed]
  20. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
    [CrossRef] [PubMed]

2003 (1)

I. Shadrirov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
[CrossRef]

2001 (1)

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

1999 (2)

1997 (1)

M. Golles, I. M. Uzunov, and F. Lederer, Phys. Lett. A 231, 195 (1997).
[CrossRef]

1996 (1)

1993 (2)

A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993).
[CrossRef]

V. A. Vysloukh, V. N. Serkin, and J. R. Taylor, Electron. Lett. 29, 12 (1993).
[CrossRef]

1992 (1)

1990 (2)

1989 (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
[CrossRef] [PubMed]

1988 (1)

1986 (1)

1984 (1)

P. W. Smith and W. J. Tomlinson, IEEE J. Quantum Electron. 20, 30 (1984).
[CrossRef]

1979 (1)

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

1977 (1)

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

1976 (1)

A. E. Kaplan, JETP Lett. 24, 114 (1976).

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
[CrossRef] [PubMed]

Afanasyev, V. V.

Alvarado-Mendez, E.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Andrade-Lucio, J. A.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Avina-Cervantes, J. G.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Bekki, N.

Chen, H. H.

DeLong, K. W.

Friberg, S. R.

Golles, M.

M. Golles, I. M. Uzunov, and F. Lederer, Phys. Lett. A 231, 195 (1997).
[CrossRef]

Hasegawa, A.

A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993).
[CrossRef]

K. Tai, A. Hasegawa, and N. Bekki, Opt. Lett. 13, 392 (1988).
[CrossRef]

A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, Oxford, 1994).

Hermann, J.-P.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Kaplan, A. E.

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

A. E. Kaplan, JETP Lett. 24, 114 (1976).

Kodama, Y.

A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, Oxford, 1994).

Kubota, H.

Kuzin, E. A.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Lederer, F.

M. Golles, I. M. Uzunov, and F. Lederer, Phys. Lett. A 231, 195 (1997).
[CrossRef]

Lee, Y. C.

Maloney, P. J.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Menyuk, C. R.

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Nakazawa, M.

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
[CrossRef] [PubMed]

Nyu, T.

A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993).
[CrossRef]

Orenstein, M.

Pedraza-Ortega, J. C.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Rojas-Laguna, R.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Sanchez-Mondragon, J. J.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Scheuer, J.

Serkin, V. N.

V. A. Vysloukh, V. N. Serkin, and J. R. Taylor, Electron. Lett. 29, 12 (1993).
[CrossRef]

V. V. Afanasyev, V. A. Vysloukh, and V. N. Serkin, Opt. Lett. 15, 489 (1990).
[CrossRef] [PubMed]

Shadrirov, I.

I. Shadrirov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
[CrossRef]

Silberberg, Y.

Smith, P. W.

P. W. Smith and W. J. Tomlinson, IEEE J. Quantum Electron. 20, 30 (1984).
[CrossRef]

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Tai, K.

Tamura, K.

Taylor, J. R.

V. A. Vysloukh, V. N. Serkin, and J. R. Taylor, Electron. Lett. 29, 12 (1993).
[CrossRef]

Tomlinson, W. J.

P. W. Smith and W. J. Tomlinson, IEEE J. Quantum Electron. 20, 30 (1984).
[CrossRef]

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Torner, L.

Torres, J. P.

Torres-Cisneros, M.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Uzunov, I. M.

M. Golles, I. M. Uzunov, and F. Lederer, Phys. Lett. A 231, 195 (1997).
[CrossRef]

Vysloukh, V.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Vysloukh, V. A.

V. A. Vysloukh, V. N. Serkin, and J. R. Taylor, Electron. Lett. 29, 12 (1993).
[CrossRef]

V. V. Afanasyev, V. A. Vysloukh, and V. N. Serkin, Opt. Lett. 15, 489 (1990).
[CrossRef] [PubMed]

Wai, P. K. A.

Zharov, A. A.

I. Shadrirov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
[CrossRef]

Appl. Phys. Lett. (1)

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Electron. Lett. (1)

V. A. Vysloukh, V. N. Serkin, and J. R. Taylor, Electron. Lett. 29, 12 (1993).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. W. Smith and W. J. Tomlinson, IEEE J. Quantum Electron. 20, 30 (1984).
[CrossRef]

J. Lightwave Technol. (1)

A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993).
[CrossRef]

JETP Lett. (1)

A. E. Kaplan, JETP Lett. 24, 114 (1976).

Opt. Commun. (2)

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

I. Shadrirov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
[CrossRef]

Opt. Lett. (8)

Phys. Lett. A (1)

M. Golles, I. M. Uzunov, and F. Lederer, Phys. Lett. A 231, 195 (1997).
[CrossRef]

Phys. Rev. A (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

Other (1)

A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, Oxford, 1994).

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 (3)

Fig. 1
Fig. 1

Dynamics of reflection of three-soliton BSs from the nonlinear interface for various incident angles. χk denote solitons from BSs with different amplitudes. η0=-10, p=2.

Fig. 2
Fig. 2

Dependences of reflection angles αk and amplitudes χk of solitons that appear on decay of BSs on incident angle αin. (a) Single solitons with amplitudes 1, 3, 5; (b) two-soliton BS; (c) three-soliton BS. η0=-10, p=2.

Fig. 3
Fig. 3

Dynamics of reflection of (a) two- and (b) three-soliton BSs from the nonlinear interface for close incident angles. χk denote solitons from BSs with different amplitudes. η0=-10, p=2.

Equations (4)

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

iqξ=-122qη2-Rηqp+q2.
U=π2-αcrsech2π2χΩ-αindΩ.
χref-χχ12tanhπ2χαcr-αin-1,
αref-αinαin-2π2χπαin+αcrαinexp-π2χαcr-αin.

Metrics