Abstract

We reveal the existence of the surface plasmonic lattice solitons (surface PLSs) at the boundary of a semi-infinite metallic-dielectric periodic nanostructure. We find that the truncation of the periodic structure imposes a threshold power for the existence of surface PLSs, and significantly enhances the modal localization. The propagation and excitation of surface PLSs as well as their potential application in the all-optical subwavelength switching are also demonstrated.

© 2012 Optical Society of America

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Errata

Yao Kou, Fangwei Ye, and Xianfeng Chen, "Surface plasmonic lattice solitons: errata," Opt. Lett. 38, 253-253 (2013)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-38-3-253

References

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  1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
    [CrossRef]
  2. Y. Kivshar and G. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
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    [CrossRef]
  4. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
    [CrossRef]
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    [CrossRef]
  6. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
    [CrossRef]
  7. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
    [CrossRef]
  8. C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
    [CrossRef]
  9. Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
    [CrossRef]
  10. F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
    [CrossRef]
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    [CrossRef]
  12. Y. Kou, F. Ye, and X. Chen, Phys. Rev. A 84, 033855(2011).
    [CrossRef]
  13. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  14. M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
    [CrossRef]
  15. J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
    [CrossRef]
  16. J. Wen, S. Romanov, and U. Peschel, Opt. Express 17, 5925 (2009).
    [CrossRef]

2011

2010

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

2009

J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
[CrossRef]

J. Wen, S. Romanov, and U. Peschel, Opt. Express 17, 5925 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Prog. Opt. 52, 63 (2009).
[CrossRef]

2008

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

2007

Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef]

2006

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

2005

2003

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef]

1997

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

1988

1972

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Agrawal, G.

Y. Kivshar and G. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Assanto, G.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

Bartal, G.

Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef]

Chen, X.

Y. Kou, F. Ye, and X. Chen, Phys. Rev. A 84, 033855(2011).
[CrossRef]

Christodoulides, D. N.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef]

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

D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Coskun, T. H.

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

Genov, D. A.

Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef]

Hache, A.

Hu, B.

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Opt. Lett. 36, 1179 (2011).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Joseph, R. I.

Kartashov, Y. V.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Prog. Opt. 52, 63 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef]

Kivshar, Y.

Y. Kivshar and G. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Kivshar, Y. S.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Kou, Y.

Y. Kou, F. Ye, and X. Chen, Phys. Rev. A 84, 033855(2011).
[CrossRef]

Krolikowski, W.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Lederer, F.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef]

Liu, Y.

Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef]

Makris, K. G.

Mihalache, D.

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Opt. Lett. 36, 1179 (2011).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Mitchell, A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Mitchell, M.

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

Molina, M. I.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Neshev, D. N.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Panoiu, N. C.

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Opt. Lett. 36, 1179 (2011).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Peschel, U.

Qiu, M.

J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
[CrossRef]

Romanov, S.

Rosberg, C. R.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Segev, M.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

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

Silberberg, Y.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef]

Stegeman, G. I.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
[CrossRef]

Suntsov, S.

Tian, J.

J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
[CrossRef]

Torner, L.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Prog. Opt. 52, 63 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef]

Vicencio, R. A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Prog. Opt. 52, 63 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef]

Wen, J.

Yan, W.

J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
[CrossRef]

Ye, F.

Y. Kou, F. Ye, and X. Chen, Phys. Rev. A 84, 033855(2011).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Opt. Lett. 36, 1179 (2011).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Yu, S.

J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
[CrossRef]

Zhang, X.

Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef]

Appl. Phys. Lett.

J. Tian, S. Yu, W. Yan, and M. Qiu, Appl. Phys. Lett. 95, 013504 (2009).
[CrossRef]

Nature

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rep.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1(2008).
[CrossRef]

Phys. Rev. A

Y. Kou, F. Ye, and X. Chen, Phys. Rev. A 84, 033855(2011).
[CrossRef]

Phys. Rev. B

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Phys. Rev. Lett.

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

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Prog. Opt.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Prog. Opt. 52, 63 (2009).
[CrossRef]

Other

Y. Kivshar and G. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

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Figures (4)

Fig. 1.
Fig. 1.

Normalized electric field (Ex) profiles of surface PLSs for the nonlinear index change of (a), (c) Δn=0.05; (b), (d) Δn=0.05. The gray regions stand for metallic layers, while the white regions for dielectric domains. The red (dashed) lines in (a) and (b) represent the electric field (Ex) profiles of PLSs in the corresponding homogenous plasmonic lattices.

Fig. 2.
Fig. 2.

(a), (b) Power versus normalized propagation constants for staggered and unstaggered surface PLSs, respectively. (c) Threshold power Pc of the unstaggered surface PLSs (m=1) as a function of metal layer width tm. (d) Fraction of power concentrating in the first waveguide versus nonlinear index change Δn, for the unstaggered surface PLSs (m=1).

Fig. 3.
Fig. 3.

Propagation of (a) staggered surface PLSs, and (b) unstaggered surface PLSs in the lossless plasmonic lattices, corresponding to Δn=0.05 and Δn=0.05, respectively. λ=1550nm. (c), (d) propagation of the same surface PLSs in the real (lossy) plasmonic lattices.

Fig. 4.
Fig. 4.

Nonlinear propagation of lossy SPP beams using single-waveguide excitation with input power (a) 360W/μm and (b) 16W/μm. λ=1550nm. (c) The output position of SPP beams versus input power, for a plasmonic lattice with length of 50 μm.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Ex(x,z,t)=[ux(x)x^]ei(βzωt),
Hy(x,z,t)=[vy(x)y^]ei(βzωt),
k0εz0ux=βvy,
z0k0[ddx(1εddx)+k02]vy=βux,

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