Abstract

We analyze stability of the TM polarized optical solitons and nonlinear guided waves localized at a metal-dielectric interface. We demonstrate, both analytically and numerically, that the spatial solitons can experience vectorial transverse modulational instability that leads to the generation of arrays of two-dimensional TM polarized self-trapped localized beams. In a sharp contrast, we reveal that the transverse instability is completely eliminated for nonlinear surface plasmons.

© 2009 Optical Society of America

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  1. V. E. Zakharov and A. M. Rubenchik, Sov. Phys. JETP 38, 494 (1974).
  2. Yu. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
    [CrossRef]
  3. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, 2003).
  4. C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
    [CrossRef]
  5. A. W. Snyder, D. J. Mitchell, and Y. Chen, Opt. Lett. 19, 524 (1994).
    [CrossRef]
  6. B. V. Gisin and B. A. Malomed, J. Opt. Soc. Am. B 18, 1356 (2001).
    [CrossRef]
  7. A. Ciattoni, B. Crosignani, P. D. Porto, and A. Yariv, J. Opt. Soc. Am. B 22, 1384 (2005).
    [CrossRef]
  8. A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
    [CrossRef]
  9. A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, Opt. Express 16, 21209 (2008) and references therein.
    [CrossRef]
  10. G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
    [CrossRef]
  11. D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
    [CrossRef]
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    [CrossRef]
  13. M. S. Kushwaha, Jpn. J. Appl. Phys. 29, L1826 (1990).
    [CrossRef]

2009 (1)

C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
[CrossRef]

2008 (1)

2005 (2)

A. Ciattoni, B. Crosignani, P. D. Porto, and A. Yariv, J. Opt. Soc. Am. B 22, 1384 (2005).
[CrossRef]

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
[CrossRef]

2001 (1)

2000 (1)

Yu. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[CrossRef]

1994 (1)

1990 (1)

M. S. Kushwaha, Jpn. J. Appl. Phys. 29, L1826 (1990).
[CrossRef]

1987 (2)

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
[CrossRef]

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

1985 (1)

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

1974 (1)

V. E. Zakharov and A. M. Rubenchik, Sov. Phys. JETP 38, 494 (1974).

Agrawal, G. P.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, 2003).

Ariyasu, J.

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

Boardman, A. D.

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
[CrossRef]

Chen, Y.

Ciattoni, A.

Crosignani, B.

Davoyan, A. R.

Gisin, B. V.

Hong, R. -C.

C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
[CrossRef]

Jeng, C. -C.

C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
[CrossRef]

Kivshar, Yu. S.

A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, Opt. Express 16, 21209 (2008) and references therein.
[CrossRef]

Yu. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[CrossRef]

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, 2003).

Kushwaha, M. S.

M. S. Kushwaha, Jpn. J. Appl. Phys. 29, L1826 (1990).
[CrossRef]

Lee, R. -K.

C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
[CrossRef]

Lin, Y. Y.

C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
[CrossRef]

Malomed, B. A.

Maradudin, A. A.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
[CrossRef]

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

Mihalache, D.

Mitchell, D. J.

Pelinovsky, D. E.

Yu. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[CrossRef]

Porto, P. D.

Rubenchik, A. M.

V. E. Zakharov and A. M. Rubenchik, Sov. Phys. JETP 38, 494 (1974).

Seaton, C. T.

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
[CrossRef]

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

Shadrivov, I. V.

Smolyaninov, I. I.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
[CrossRef]

Snyder, A. W.

Stegeman, G. I.

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
[CrossRef]

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

Twardowski, T.

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
[CrossRef]

Wallis, R. F.

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

Wright, E. M.

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987).
[CrossRef]

Yariv, A.

Zakharov, V. E.

V. E. Zakharov and A. M. Rubenchik, Sov. Phys. JETP 38, 494 (1974).

Zanoni, R.

Zayats, A. V.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
[CrossRef]

J. Appl. Phys. (1)

G. I. Stegeman, C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, J. Appl. Phys. 58, 2453 (1985).
[CrossRef]

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

Jpn. J. Appl. Phys. (1)

M. S. Kushwaha, Jpn. J. Appl. Phys. 29, L1826 (1990).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rep. (2)

Yu. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[CrossRef]

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
[CrossRef]

Phys. Rev. A (1)

A. D. Boardman, A. A. Maradudin, G. I. Stegeman, T. Twardowski, and E. M. Wright, Phys. Rev. A 35, 1159 (1987).
[CrossRef]

Phys. Rev. Lett. (1)

C.-C. Jeng, Y. Y. Lin, R.-C. Hong, and R.-K. Lee, Phys. Rev. Lett. 102, 153905 (2009).
[CrossRef]

Sov. Phys. JETP (1)

V. E. Zakharov and A. M. Rubenchik, Sov. Phys. JETP 38, 494 (1974).

Other (1)

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, 2003).

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