Abstract

We experimentally demonstrate image transmission through a noninstantaneous self-focusing medium. A partially spatially incoherent soliton is used to form a multimode waveguide in a photorefractive crystal, and the modes of that waveguide are used to transmit an incoherent image through this nonlinear medium.

© 2001 Optical Society of America

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  1. A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
    [CrossRef]
  2. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
    [CrossRef] [PubMed]
  3. G. A. Askar’yan, Sov. Phys. JETP 15, 1088 (1962).
  4. For a recent review of spatial solitons, see G. Stegeman and M. Segev, Science 286, 1518 (1999).
    [CrossRef] [PubMed]
  5. A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
    [CrossRef] [PubMed]
  6. A. Yariv, Opt. Commun. 21, 49 (1977).
    [CrossRef]
  7. B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
    [CrossRef]
  8. T. Ogasawara, M. Ohno, K. Karaki, K. Nishizawa, and A. Akiba, J. Opt. Soc. Am. B 13, 2193 (1996).
    [CrossRef]
  9. A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Landouceur, Opt. Lett. 16, 21 (1991).
    [CrossRef] [PubMed]
  10. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
    [CrossRef] [PubMed]
  11. M. Mitchell and M. Segev, Nature 387, 880 (1997).
    [CrossRef]
  12. Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
    [CrossRef] [PubMed]
  13. D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
    [CrossRef]
  14. D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
    [CrossRef]
  15. M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
    [CrossRef]
  16. D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
    [CrossRef]
  17. A. W. Snyder and D. J. Mitchell, Phys. Rev. Lett. 80, 1422 (1998).
    [CrossRef]
  18. V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
    [CrossRef]
  19. M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
    [CrossRef] [PubMed]
  20. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
    [CrossRef] [PubMed]
  21. T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
    [CrossRef] [PubMed]
  22. Y. S. Kivshar, Phys. Rev. A 43, 1677 (1991).
    [CrossRef] [PubMed]
  23. C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
    [CrossRef] [PubMed]

2000 (4)

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

1999 (1)

For a recent review of spatial solitons, see G. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

1998 (5)

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

A. W. Snyder and D. J. Mitchell, Phys. Rev. Lett. 80, 1422 (1998).
[CrossRef]

V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
[CrossRef]

1997 (3)

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

1996 (2)

1995 (1)

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

1991 (2)

1989 (1)

1982 (1)

B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
[CrossRef]

1977 (1)

A. Yariv, Opt. Commun. 21, 49 (1977).
[CrossRef]

1976 (1)

A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
[CrossRef]

1962 (1)

G. A. Askar’yan, Sov. Phys. JETP 15, 1088 (1962).

Akiba, A.

Anastassiou, C.

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

Anderson, D. Z.

V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
[CrossRef]

Askar’yan, G. A.

G. A. Askar’yan, Sov. Phys. JETP 15, 1088 (1962).

Chen, Z.

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Chernikov, S. V.

Christodoulides, D. N.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

Coskun, T. H.

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

Cronin-Golomb, M.

B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
[CrossRef]

Dianov, E. M.

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

Fischer, B.

B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
[CrossRef]

Harris, S. E.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Jain, M.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Karaki, K.

Kasapi, A.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Kim, Y.

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

Kip, D.

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Kivshar, Y. S.

Y. S. Kivshar, Phys. Rev. A 43, 1677 (1991).
[CrossRef] [PubMed]

Landouceur, F.

Mamyshev, P. V.

Mitchell, D. J.

Mitchell, M.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Musslimani, Z. H.

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

Nishizawa, K.

Ogasawara, T.

Ohno, M.

Poladian, L.

Prokhorov, A. M.

Segev, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

For a recent review of spatial solitons, see G. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Shih, M.

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Shkunov, V. V.

V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
[CrossRef]

Snyder, A. W.

Soljacic, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

Stegeman, G.

For a recent review of spatial solitons, see G. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

Vishwanath, A.

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

White, J. O.

B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
[CrossRef]

Yariv, A.

B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
[CrossRef]

A. Yariv, Opt. Commun. 21, 49 (1977).
[CrossRef]

A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
[CrossRef]

Yin, G. Y.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Appl. Phys. Lett. (2)

B. Fischer, M. Cronin-Golomb, J. O. White, and A. Yariv, Appl. Phys. Lett. 41, 141 (1982).
[CrossRef]

A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
[CrossRef]

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

Nature (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Opt. Commun. (1)

A. Yariv, Opt. Commun. 21, 49 (1977).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

Y. S. Kivshar, Phys. Rev. A 43, 1677 (1991).
[CrossRef] [PubMed]

Phys. Rev. Lett. (11)

C. Anastassiou, M. Soljacic, M. Segev, D. Kip, E. Eugenieva, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 85, 4888 (2000).
[CrossRef] [PubMed]

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

A. W. Snyder and D. J. Mitchell, Phys. Rev. Lett. 80, 1422 (1998).
[CrossRef]

V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
[CrossRef]

M. Soljacic, M. Segev, T. H. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

Science (3)

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

For a recent review of spatial solitons, see G. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

G. A. Askar’yan, Sov. Phys. JETP 15, 1088 (1962).

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Figures (3)

Fig. 1
Fig. 1

Experimental setup: PBS’s, polarizing beam splitters; D, rotating diffuser; BS’s, beam splitters; RT, resolution target; A, aperture; SBN, nonlinear crystal; CCD, CCD camera.

Fig. 2
Fig. 2

Images of the soliton and the image beam on the input and output faces of the crystal: a, soliton beam on the input face; b, diffracted soliton beam on the output face without a field; c, trapped soliton beam on the output face for E=7.2 kV/cm; d, e, image beams on the input face; f, diffracted output of the image beam (vertically aligned spots) without a field; g, output of the image beam (vertically aligned spots) with E=7.2 kV/cm but with the soliton beam off; h, i, output of the image beam (vertically and horizontally aligned spots) with E=7.2 kV/cm and the soliton beam on. The picture size is 150 μm×150 μm for a–c and 50 μm×50 μm for d–i.

Fig. 3
Fig. 3

Image of the three spots aligned at 45° with respect to the c axis: a, image beam on the input face; b, image beam on the output face with E=7.2 kV/cm and the soliton beam on. The c axes are marked by arrows. Picture size is 50 μm×50 μm.

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