Abstract

We report what is to our knowledge the first observation of pixellike spatial solitons from partially spatially incoherent light. We created an array of as many as 32×32 soliton pixels by launching a spatially modulated incoherent light beam into a noninstantaneous self-focusing photorefraction medium. These solitons were stable and robust, forming a steady-state two-dimensional waveguide array in which optical coupling and control of local waveguide channels could be realized.

© 2002 Optical Society of America

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  1. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
    [CrossRef] [PubMed]
  2. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
    [CrossRef] [PubMed]
  3. M. Mitchell and M. Segev, Nature 387, 880 (1997).
    [CrossRef]
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    [CrossRef] [PubMed]
  5. B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
    [CrossRef] [PubMed]
  6. S. Lan, E. DelRe, Z. Chen, M. Shih, and M. Segev, Opt. Lett. 24, 475 (1999).
    [CrossRef]
  7. S. Lan, M. Shih, G. Mizell, J. Giordmaine, Z. Chen, C. Anastassiou, J. Martin, and M. Segev, Opt. Lett. 24, 1145 (1999).
    [CrossRef]
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    [CrossRef]
  9. W. Krolikowski and Y. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  13. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
    [CrossRef] [PubMed]
  14. J. Klinger, H. Martin, and Z. Chen, Opt. Lett. 26, 271 (2001).
    [CrossRef]
  15. Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
    [CrossRef]
  16. A. Guo, M. Henry, G. J. Salamo, M. Segev, and G. L. Wood, Opt. Lett. 26, 1274 (2001).
    [CrossRef]
  17. B. A. Malomed, Z. H. Wang, P. L. Chu, and G. D. Peng, J. Opt. Soc. Am. B 16, 1197 (1999).
    [CrossRef]
  18. Z. Chen, J. Klinger, and D. N. Christodoulides, “Induced incoherent modulation instability with varying perturbation periods,” Phys. Rev. E (to be published).

2002 (1)

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

2001 (3)

A. Guo, M. Henry, G. J. Salamo, M. Segev, and G. L. Wood, Opt. Lett. 26, 1274 (2001).
[CrossRef]

J. Klinger, H. Martin, and Z. Chen, Opt. Lett. 26, 271 (2001).
[CrossRef]

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

2000 (3)

S. Minardi, S. Sapone, W. Chinaglia, P. Di Trapani, and A. Berzanskis, Opt. Lett. 25, 326 (2000).
[CrossRef]

M. Soljacic, M. Segev, T. 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]

1999 (4)

1998 (1)

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

1997 (2)

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

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

1996 (2)

W. Krolikowski and Y. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996).
[CrossRef]

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

1994 (1)

Anastassiou, C.

Anderson, B. P.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Berzanskis, A.

Bosshard, C.

Brambilla, M.

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

Chen, Z.

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

J. Klinger, H. Martin, and Z. Chen, Opt. Lett. 26, 271 (2001).
[CrossRef]

S. Lan, M. Shih, G. Mizell, J. Giordmaine, Z. Chen, C. Anastassiou, J. Martin, and M. Segev, Opt. Lett. 24, 1145 (1999).
[CrossRef]

S. Lan, E. DelRe, Z. Chen, M. Shih, and M. Segev, Opt. Lett. 24, 475 (1999).
[CrossRef]

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

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

Z. Chen, J. Klinger, and D. N. Christodoulides, “Induced incoherent modulation instability with varying perturbation periods,” Phys. Rev. E (to be published).

Chinaglia, W.

Christodoulides, D. N.

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

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

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

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

Z. Chen, J. Klinger, and D. N. Christodoulides, “Induced incoherent modulation instability with varying perturbation periods,” Phys. Rev. E (to be published).

Chu, P. L.

Clark, C. W.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Collins, L. A.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Cornell, E. A.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Coskun, T.

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

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

DelRe, E.

Di Trapani, P.

Eugenieva, E.

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

Feder, D. L.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Firth, W. J.

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

Giordmaine, J.

Guo, A.

Haljan, P. C.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Henry, M.

Kip, D.

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

Kivshar, Y. S.

Klinger, J.

J. Klinger, H. Martin, and Z. Chen, Opt. Lett. 26, 271 (2001).
[CrossRef]

Z. Chen, J. Klinger, and D. N. Christodoulides, “Induced incoherent modulation instability with varying perturbation periods,” Phys. Rev. E (to be published).

Krolikowski, W.

Lan, S.

Lugiato, L. A.

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

Malomed, B. A.

Mamyshev, P. V.

Martin, H.

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

J. Klinger, H. Martin, and Z. Chen, Opt. Lett. 26, 271 (2001).
[CrossRef]

Martin, J.

Minardi, S.

Mitchell, M.

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

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

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

Mizell, G.

Peng, G. D.

Prati, F.

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

Regal, C. A.

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

Salamo, G. J.

Sapone, S.

Sears, S.

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

Segev, M.

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

A. Guo, M. Henry, G. J. Salamo, M. Segev, and G. L. Wood, Opt. Lett. 26, 1274 (2001).
[CrossRef]

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

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

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

S. Lan, M. Shih, G. Mizell, J. Giordmaine, Z. Chen, C. Anastassiou, J. Martin, and M. Segev, Opt. Lett. 24, 1145 (1999).
[CrossRef]

S. Lan, E. DelRe, Z. Chen, M. Shih, and M. Segev, Opt. Lett. 24, 475 (1999).
[CrossRef]

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

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

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

Shih, M.

Soljacic, M.

M. Soljacic, M. Segev, T. 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]

Spinelli, L.

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

Stegeman, G. I.

Vishwanath, A.

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

Wang, Z. H.

Wood, G. L.

J. Opt. Soc. Am. B (2)

Nature (1)

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

Opt. Lett. (6)

Phys. Rev. Lett. (4)

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

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001).
[CrossRef] [PubMed]

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, Phys. Rev. Lett. 79, 2042 (1997).
[CrossRef]

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

Proc. Natl. Acad. Sci. USA (1)

Z. Chen, S. Sears, H. Martin, M. Segev, and D. N. Christodoulides, Proc. Natl. Acad. Sci. USA 99, 5223 (2002).
[CrossRef]

Science (3)

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

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

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

Other (1)

Z. Chen, J. Klinger, and D. N. Christodoulides, “Induced incoherent modulation instability with varying perturbation periods,” Phys. Rev. E (to be published).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: PBS, polarization beam splitter; BS, beam splitter; V, voltage.

Fig. 2
Fig. 2

Spatial soliton pixels of partially incoherent light. Shown are intensity patterns from (a) input, (b) output with linear diffraction, and (c) output with nonlinearity. (d) Three-dimensional intensity plot of (c).

Fig. 3
Fig. 3

Waveguide arrays tested by (a)–(c) a focused beam and (d) a broad beam. Shown are (a) input, (b) diffraction, (c) guidance of the focused beam into a soliton channel, and (d) guidance of a broad beam into all waveguide channels.

Fig. 4
Fig. 4

Control of soliton pixels. Shown are intensity patterns from (a) input, (b) nonlinear output with the control beam on, and (c) nonlinear output with control beam off. The pixel spacing is 70 µm (top) and 110 µm (bottom).

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