Abstract

We address the reflection of vector solitons, comprising several components that exhibit multiple field oscillations, at the interface between two nonlinear media. We reveal that reflection causes fission of the input signal into sets of solitons propagating at different angles. We find that the maximum number of solitons that arises upon fission is given by the number of field oscillations in the highest-order input vector soliton.

© 2007 Optical Society of America

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  1. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
    [Crossref] [PubMed]
  2. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).
  3. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
    [Crossref] [PubMed]
  4. Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, Opt. Lett. 21, 1436 (1996).
    [Crossref] [PubMed]
  5. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 53 (1988).
    [Crossref] [PubMed]
  6. J. Yang, Physica D 108, 92 (1997).
    [Crossref]
  7. M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
    [Crossref]
  8. N. Akhmediev, W. Krolikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
    [Crossref]
  9. E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
    [Crossref]
  10. A. E. Kaplan, JETP Lett. 24, 114 (1976).
  11. P. W. Smith, J. P. Hermann, W. J. Tomlinson, and P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
    [Crossref]
  12. N. N. Akhmediev, V. I. Korneev, and Y. V. Kuzmenko, Sov. Phys. JETP 61, 62 (1985).
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    [Crossref] [PubMed]
  14. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1828 (1989).
    [Crossref] [PubMed]
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    [Crossref]
  19. V. A. Aleshkevich, Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, J. P. Torres, and L. Torner, Opt. Lett. 29, 483 (2004).
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    [Crossref]
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    [Crossref]

2006 (1)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[Crossref]

2004 (2)

2003 (2)

2001 (1)

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

1999 (3)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

J. Scheuer and M. Orenstein, Opt. Lett. 24, 1735 (1999).
[Crossref]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[Crossref]

1998 (2)

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

N. Akhmediev, W. Krolikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
[Crossref]

1997 (1)

J. Yang, Physica D 108, 92 (1997).
[Crossref]

1996 (2)

Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, Opt. Lett. 21, 1436 (1996).
[Crossref] [PubMed]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[Crossref] [PubMed]

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)

1985 (1)

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuzmenko, Sov. Phys. JETP 61, 62 (1985).

1979 (1)

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

1976 (1)

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

1974 (1)

S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).

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]

Aitchison, J. S.

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[Crossref] [PubMed]

Akhmediev, N.

N. Akhmediev, W. Krolikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
[Crossref]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[Crossref] [PubMed]

Akhmediev, N. N.

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuzmenko, Sov. Phys. JETP 61, 62 (1985).

Aleshkevich, V. A.

Alvarado Mendez, E.

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

Andrade Lucio, J. A.

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

Assanto, G.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[Crossref]

Aviña Cervantes, J. G.

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

Baronio, F.

Barthelemy, A.

Carrasco, S.

Chen, Z.

Christodoulides, D. N.

Coskun, T. H.

Couderc, V.

De Angelis, C.

Dyadyusha, A.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[Crossref]

Firth, W. J.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[Crossref]

Hermann, J. P.

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

Jankovic, L.

Joseph, R. I.

Kaczmarek, M.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[Crossref]

Kang, J. U.

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[Crossref] [PubMed]

Kaplan, A. E.

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

Kartashov, Y. V.

Katz, M.

Kim, H.

Kivshar, Y. S.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[Crossref]

Korneev, V. I.

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuzmenko, Sov. Phys. JETP 61, 62 (1985).

Krolikowski, W.

N. Akhmediev, W. Krolikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
[Crossref]

Kuzin, E. A.

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

Kuzmenko, Y. V.

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuzmenko, Sov. Phys. JETP 61, 62 (1985).

Maloney, P. J.

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

Manakov, S. V.

S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).

Mitchell, M.

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

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]

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]

Orenstein, M.

Ostrovskaya, E. A.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[Crossref]

Peccianti, M.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[Crossref]

Pedraza-Ortega, J. C.

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

Pioger, P.-H.

Rojas Laguna, R.

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

Sánchez Mondragón, J. J.

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

Scheuer, J.

Segev, M.

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, Opt. Lett. 21, 1436 (1996).
[Crossref] [PubMed]

Shadrivov, I.

I. Shadrivov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
[Crossref]

Skryabin, D. V.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[Crossref]

Smith, P. W.

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

Snyder, A. W.

N. Akhmediev, W. Krolikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
[Crossref]

Stegeman, G.

Stegeman, G. I.

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[Crossref] [PubMed]

Tomlinson, W. J.

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. Aviña Cervantes, M. Torres Cisneros, J. A. Andrade Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Vysloukh, V.

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

Vysloukh, V. A.

Yang, J.

J. Yang, Physica D 108, 92 (1997).
[Crossref]

Zelenina, A. S.

Zharov, A. A.

I. Shadrivov 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]

JETP Lett. (1)

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

Nat. Phys. (1)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[Crossref]

Opt. Commun. (2)

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

I. Shadrivov and A. A. Zharov, Opt. Commun. 216, 47 (2003).
[Crossref]

Opt. Lett. (6)

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]

Phys. Rev. Lett. (4)

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[Crossref] [PubMed]

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

N. Akhmediev, W. Krolikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
[Crossref]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[Crossref]

Physica D (1)

J. Yang, Physica D 108, 92 (1997).
[Crossref]

Science (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

Sov. Phys. JETP (2)

S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuzmenko, Sov. Phys. JETP 61, 62 (1985).

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Figures (4)

Fig. 1
Fig. 1

Profiles of vector solitons at (a) b 1 = 3 , b 2 = 1.2 and (b) b 1 = 3 , b 2 = 2.6 . (c) Splitting angle versus incident angle for the vector soliton depicted in panel (a). (d) Splitting angle versus b 2 for the incident angle α in = 0.5 and b 1 = 3 . In (c) and (d) p = 100 .

Fig. 2
Fig. 2

Splitting of two-component vector soliton with b 1 = 3 , b 2 = 1.2 into two scalar solitons at α in = 1 and p = 100 . Intensities of (a) first and (b) second components; (c) total intensity.

Fig. 3
Fig. 3

Profiles of three-component vector solitons at (a) b 1 = 2.89 , b 2 = 1.66 , b 3 = 0.86 and (b) b 1 = 3.4 , b 2 = 3.4 , b 3 = 0.64 . Splitting of solitons from panels (a) and (b) is depicted in panels (c) and (d), correspondingly. In both cases α in = 0.5 and p = 100 . In (c) and (d) the total intensity distribution is shown.

Fig. 4
Fig. 4

Splitting of a two-component vector soliton with a three-humped second component corresponding to b 1 = 1.06 , b 2 = 0.66 , at α in = 0.5 and p = 100 in a saturable medium with S = 0.8 . (a) First component, (b) second component, (c) total intensity.

Equations (1)

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i q n ξ = 1 2 2 q n η 2 [ k = 1 N q k 2 + H ( η ) ] q n .

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