Abstract

We demonstrate experimentally the transport of information from one vector (Manakov-like) spatial soliton to another via collisions with a third, intermediate soliton.

© 2001 Optical Society of America

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  1. V. E. Zakharov and A. B. Shabhat, Sov. Phys. JETP 34, 62 (1972).
  2. A. W. Snyder, D. J. Mitchell, L. Polodian, and F. Ladouceur, Opt. Lett. 16, 21 (1991).
    [CrossRef] [PubMed]
  3. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
    [CrossRef] [PubMed]
  4. A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
    [CrossRef]
  5. M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 56, 7267 (1997).
    [CrossRef]
  6. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).
  7. R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
    [CrossRef]
  8. M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
    [CrossRef]
  9. C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
    [CrossRef]
  10. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
    [CrossRef] [PubMed]
  11. Z. Chen, M. Segev, T. Coskun, and D. N. Christodo-ulides, Opt. Lett. 21, 1436 (1996).
    [CrossRef] [PubMed]
  12. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
    [CrossRef] [PubMed]
  13. D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
    [CrossRef]
  14. D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
    [CrossRef]

1999 (2)

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

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

1998 (1)

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

1997 (2)

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 56, 7267 (1997).
[CrossRef]

1996 (3)

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

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Z. Chen, M. Segev, T. Coskun, and D. N. Christodo-ulides, Opt. Lett. 21, 1436 (1996).
[CrossRef] [PubMed]

1995 (1)

1994 (1)

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

1991 (1)

1974 (1)

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

1973 (1)

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

1972 (1)

V. E. Zakharov and A. B. Shabhat, Sov. Phys. JETP 34, 62 (1972).

Aitchison, J. S.

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

Akhmediev, N. N.

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

Anastassiou, C.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Carvalho, M. I.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
[CrossRef]

Chen, Z.

Christodoulides, D. N.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
[CrossRef]

Christodo-ulides, D. N.

Coskun, T.

Crosignani, B.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

DiPorto, P.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Giordmaine, J. A.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Hasegawa, A.

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Hietarinta, J.

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

Jakubowski, M. H.

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 56, 7267 (1997).
[CrossRef]

Kang, J. U.

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

Ladouceur, F.

Lakshmanan, M.

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

Lan, S.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Manakov, S. V.

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

Martin, J.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Mitchell, D. J.

Mitchell, M.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Polodian, L.

Radhakrishnan, R.

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

Segev, M.

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

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Z. Chen, M. Segev, T. Coskun, and D. N. Christodo-ulides, Opt. Lett. 21, 1436 (1996).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Shabhat, A. B.

V. E. Zakharov and A. B. Shabhat, Sov. Phys. JETP 34, 62 (1972).

Shih, M.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Singh, S. R.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Snyder, A. W.

Squier, R.

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 56, 7267 (1997).
[CrossRef]

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. N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
[CrossRef] [PubMed]

Steiglitz, K.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 56, 7267 (1997).
[CrossRef]

Tappert, F.

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Valley, G. C.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Zakharov, V. E.

V. E. Zakharov and A. B. Shabhat, Sov. Phys. JETP 34, 62 (1972).

Appl. Phys. Lett. (2)

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (2)

Phys. Rev. E (3)

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 56, 7267 (1997).
[CrossRef]

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

Phys. Rev. Lett. (3)

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

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

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

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).

V. E. Zakharov and A. B. Shabhat, Sov. Phys. JETP 34, 62 (1972).

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Figures (2)

Fig. 1
Fig. 1

(a) Two Manakov solitons, showing the A-field (solid curve) and the B-field (dotted curve) constituents. A1,B1 are one vector soliton, and A2,B2 are the other vector soliton. (b) Schematic representation of the cascaded collisions. A scalar soliton, A2, collides with a vector A1,B1 and the another scalar soliton, A3. For illustration purposes A1 and B1 are slightly separated, but in reality they overlap. (c) Experiment for the first collision with A3 is off. The top row shows the input conditions for the total input (left), the A field (middle), and the B field (right). The bottom row shows the output, from left to right: the total, B1, A1, and A2 intensities after the collision. The total energy in each vector soliton is conserved, but the components exchange energy. The arrows in the geometry and the schematic point out the energy exchange.

Fig. 2
Fig. 2

Same conditions as in Fig.  1(c) but with A3 on, so two collisions occur. The input and output conditions are shown at the top and bottom row, respectively. From the bottom row, we see that the B field has split twice as a result of the collision, but the total energy in each vector soliton is still conserved as expected.

Equations (2)

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iAz+122Ax2+A2+B2A=0,
iAz+122Bx2+A2+B2B=0,

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