Abstract

We analyze an inherent nonlinearity of surface plasmon polaritons at the interface of Fermi–Dirac metal plasma, stemming from the depletion of electron density in high-intensity regions. The derived optical nonlinear coefficients are comparable with the experimental values for metals. We calculate the dispersion relations for the nonlinear propagation of high-intensity surface plasmon polaritons, predicting a nonlinearity-induced cutoff and vanishing group velocity.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
    [CrossRef] [PubMed]
  2. A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
    [CrossRef]
  3. P. Ginzburg, D. Arbel, and M. Orenstein, Opt. Lett. 31, 3288 (2006).
    [CrossRef] [PubMed]
  4. P. Ginzburg and M. Orenstein, Opt. Express 15, 6762 (2007).
    [CrossRef] [PubMed]
  5. S. Nie and S. R. Emory, Science 275, 1102 (1997).
    [CrossRef] [PubMed]
  6. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, Opt. Lett. 30, 3356 (2005).
    [CrossRef]
  7. H. Raether, in Surface Plasmons (Springer-Verlag, 1988), Vol. 111.
  8. A. Maier, in Plasmonics: Fundamentals and Applications (Springer Science + Business Media LLC, 2007), Chap. 2.2, pp. 25-30.
  9. A. R. Davoyan, I. V. Shadrivov, and Y. S. Kivshar, Opt. Express 16, 21209 (2008).
    [CrossRef] [PubMed]
  10. A. R. Davoyan, I. V. Shadrivov, and Y. S. Kivshar, Opt. Express 17, 21732 (2009).
    [CrossRef] [PubMed]
  11. H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
    [CrossRef] [PubMed]
  12. F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
    [CrossRef]
  13. F. Hache, D. Ricard, and C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
    [CrossRef]
  14. S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
    [CrossRef] [PubMed]
  15. G. A. Wurtz and A. V. Zayats, Laser Photonics Rev. 2, 125 (2008).
    [CrossRef]
  16. M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001).
    [CrossRef] [PubMed]
  17. G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
    [CrossRef]
  18. G. Piredda, D. D. Smith, B. Wendling, and R. W. Boyd, J. Opt. Soc. Am. B 25, 945 (2008).
    [CrossRef]
  19. N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
    [CrossRef] [PubMed]
  20. M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
    [CrossRef]
  21. K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
    [CrossRef]
  22. D. R. Nicholson, Introduction to Plasma Theory (Wiley, 1983).
  23. V. L. Ginzburg, in The Propagation of Electromagnetic Waves in Plasmas (Addison-Wesley, 1964).
  24. A. V. Gaponov and M. A. Miller, Sov. Phys. JETP 34, 242 (1958).
  25. P. Kaw, G. Schmidt, and T. Wilcox, Phys. Fluids 16, 1522 (1973).
    [CrossRef]
  26. C. E. Max, Phys. Fluids 19, 74 (1976).
    [CrossRef]
  27. M. Y. Yu, Phys. Rev. A 28, 1855 (1983).
    [CrossRef]
  28. K. M. Leung, Phys. Rev. A 31, 1189 (1985).
    [CrossRef] [PubMed]
  29. 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] [PubMed]
  30. M. Durach, A. Rusina, and M. I. Stockman, Phys. Rev. Lett. 103, 186801 (2009).
    [CrossRef] [PubMed]
  31. S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
    [CrossRef] [PubMed]
  32. J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
    [CrossRef]

2009

2008

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
[CrossRef]

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

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

G. A. Wurtz and A. V. Zayats, Laser Photonics Rev. 2, 125 (2008).
[CrossRef]

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

G. Piredda, D. D. Smith, B. Wendling, and R. W. Boyd, J. Opt. Soc. Am. B 25, 945 (2008).
[CrossRef]

2007

2006

P. Ginzburg, D. Arbel, and M. Orenstein, Opt. Lett. 31, 3288 (2006).
[CrossRef] [PubMed]

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

2005

2004

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

2003

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

2001

M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001).
[CrossRef] [PubMed]

1998

J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
[CrossRef]

1997

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef] [PubMed]

1988

F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
[CrossRef]

1987

1986

1985

K. M. Leung, Phys. Rev. A 31, 1189 (1985).
[CrossRef] [PubMed]

1983

M. Y. Yu, Phys. Rev. A 28, 1855 (1983).
[CrossRef]

1976

C. E. Max, Phys. Fluids 19, 74 (1976).
[CrossRef]

1973

P. Kaw, G. Schmidt, and T. Wilcox, Phys. Fluids 16, 1522 (1973).
[CrossRef]

1958

A. V. Gaponov and M. A. Miller, Sov. Phys. JETP 34, 242 (1958).

Arbel, D.

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Becker, U.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Bennink, R. S.

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

Bergman, D. J.

M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001).
[CrossRef] [PubMed]

Boardman, A. D.

Bost, P.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Boyd, R. W.

G. Piredda, D. D. Smith, B. Wendling, and R. W. Boyd, J. Opt. Soc. Am. B 25, 945 (2008).
[CrossRef]

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

Brandl, D. W.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

Cai, W.

Chen, A.

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

Chettiar, U. K.

Dalton, L.

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

Davoyan, A. R.

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Drachev, V. P.

Durach, M.

M. Durach, A. Rusina, and M. I. Stockman, Phys. Rev. Lett. 103, 186801 (2009).
[CrossRef] [PubMed]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Emory, S. R.

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef] [PubMed]

Faleev, S. V.

M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001).
[CrossRef] [PubMed]

Feldmann, J.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Flytzanis, C.

F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
[CrossRef]

F. Hache, D. Ricard, and C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
[CrossRef]

Gaponov, A. V.

A. V. Gaponov and M. A. Miller, Sov. Phys. JETP 34, 242 (1958).

Ginzburg, P.

Ginzburg, V. L.

V. L. Ginzburg, in The Propagation of Electromagnetic Waves in Plasmas (Addison-Wesley, 1964).

Güdde, J.

J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
[CrossRef]

Hache, F.

F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
[CrossRef]

F. Hache, D. Ricard, and C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
[CrossRef]

Halas, N. J.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

Harrison, P.

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Hohlfeld, J.

J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
[CrossRef]

Ikonic, Z.

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Indjin, D.

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Isic, G.

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Jin, J.

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kaw, P.

P. Kaw, G. Schmidt, and T. Wilcox, Phys. Fluids 16, 1522 (1973).
[CrossRef]

Kildishev, A. V.

Kim, S.

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kim, Y.

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kivshar, Y. S.

Kreibig, U.

F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
[CrossRef]

Le, F.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

Lemmer, U.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Lepeshkin, N. N.

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

Leung, K. M.

K. M. Leung, Phys. Rev. A 31, 1189 (1985).
[CrossRef] [PubMed]

MacDonald, K. F.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
[CrossRef]

Maier, A.

A. Maier, in Plasmonics: Fundamentals and Applications (Springer Science + Business Media LLC, 2007), Chap. 2.2, pp. 25-30.

Matthias, E.

J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
[CrossRef]

Max, C. E.

C. E. Max, Phys. Fluids 19, 74 (1976).
[CrossRef]

Mennig, M.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Mihalache, D.

Milanovic, V.

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Miller, M. A.

A. V. Gaponov and M. A. Miller, Sov. Phys. JETP 34, 242 (1958).

Müller, J. G.

J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
[CrossRef]

Nicholson, D. R.

D. R. Nicholson, Introduction to Plasma Theory (Wiley, 1983).

Nie, S.

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef] [PubMed]

Nordlander, P.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

Novotny, L.

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

Orenstein, M.

Palomba, S.

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

Park, I.

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Perner, M.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Piredda, G.

G. Piredda, D. D. Smith, B. Wendling, and R. W. Boyd, J. Opt. Soc. Am. B 25, 945 (2008).
[CrossRef]

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

Pyayt, A.

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

Radovanovic, J.

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Raether, H.

H. Raether, in Surface Plasmons (Springer-Verlag, 1988), Vol. 111.

Ricard, D.

F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
[CrossRef]

F. Hache, D. Ricard, and C. Flytzanis, J. Opt. Soc. Am. B 3, 1647 (1986).
[CrossRef]

Rusina, A.

M. Durach, A. Rusina, and M. I. Stockman, Phys. Rev. Lett. 103, 186801 (2009).
[CrossRef] [PubMed]

Samson, Z. L.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
[CrossRef]

Sarychev, A. K.

Schmidt, G.

P. Kaw, G. Schmidt, and T. Wilcox, Phys. Fluids 16, 1522 (1973).
[CrossRef]

Schmidt, H.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Schmitt, M.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Schweinsberg, A.

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

Seaton, C. T.

Shadrivov, I. V.

Shalaev, M.

Smith, D. D.

Stegeman, G. I.

Stockman, M. I.

M. Durach, A. Rusina, and M. I. Stockman, Phys. Rev. Lett. 103, 186801 (2009).
[CrossRef] [PubMed]

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
[CrossRef]

M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001).
[CrossRef] [PubMed]

Twardowski, T.

von Plessen, G.

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Wang, H.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

Wendling, B.

Wilcox, T.

P. Kaw, G. Schmidt, and T. Wilcox, Phys. Fluids 16, 1522 (1973).
[CrossRef]

Wiley, B. J.

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

Wright, E. M.

Wurtz, G. A.

G. A. Wurtz and A. V. Zayats, Laser Photonics Rev. 2, 125 (2008).
[CrossRef]

Xia, Y.

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

Yu, M. Y.

M. Y. Yu, Phys. Rev. A 28, 1855 (1983).
[CrossRef]

Yuan, H.

Zanoni, R.

Zayats, A. V.

G. A. Wurtz and A. V. Zayats, Laser Photonics Rev. 2, 125 (2008).
[CrossRef]

Zheludev, N. I.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
[CrossRef]

Appl. Phys. A

F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Appl. Phys. A 47, 347 (1988).
[CrossRef]

Appl. Surf. Sci.

J. Güdde, J. Hohlfeld, J. G. Müller, and E. Matthias, Appl. Surf. Sci. 127-129, 40 (1998).
[CrossRef]

J. Opt. Soc. Am. B

Laser Photonics Rev.

G. A. Wurtz and A. V. Zayats, Laser Photonics Rev. 2, 125 (2008).
[CrossRef]

Nano Lett.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, Nano Lett. 6, 827 (2006).
[CrossRef] [PubMed]

Nat. Nanotechnol.

A. Pyayt, B. J. Wiley, Y. Xia, A. Chen, and L. Dalton, Nat. Nanotechnol. 3, 660 (2008).
[CrossRef]

Nat. Photonics

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, Nat. Photonics 3, 55 (2008).
[CrossRef]

Nature

S. Kim, J. Jin, Y. Kim, I. Park, Y. Kim, and S. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Fluids

P. Kaw, G. Schmidt, and T. Wilcox, Phys. Fluids 16, 1522 (1973).
[CrossRef]

C. E. Max, Phys. Fluids 19, 74 (1976).
[CrossRef]

Phys. Rev. A

M. Y. Yu, Phys. Rev. A 28, 1855 (1983).
[CrossRef]

K. M. Leung, Phys. Rev. A 31, 1189 (1985).
[CrossRef] [PubMed]

G. Isić, V. Milanović, J. Radovanović, Z. Ikonić, D. Indjin, and P. Harrison, Phys. Rev. A 77, 033821 (2008).
[CrossRef]

Phys. Rev. Lett.

M. Durach, A. Rusina, and M. I. Stockman, Phys. Rev. Lett. 103, 186801 (2009).
[CrossRef] [PubMed]

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001).
[CrossRef] [PubMed]

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, and R. W. Boyd, Phys. Rev. Lett. 93, 123902 (2004).
[CrossRef] [PubMed]

M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldmann, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, Phys. Rev. Lett. 78, 2192 (1997).
[CrossRef]

Science

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef] [PubMed]

Sov. Phys. JETP

A. V. Gaponov and M. A. Miller, Sov. Phys. JETP 34, 242 (1958).

Other

D. R. Nicholson, Introduction to Plasma Theory (Wiley, 1983).

V. L. Ginzburg, in The Propagation of Electromagnetic Waves in Plasmas (Addison-Wesley, 1964).

H. Raether, in Surface Plasmons (Springer-Verlag, 1988), Vol. 111.

A. Maier, in Plasmonics: Fundamentals and Applications (Springer Science + Business Media LLC, 2007), Chap. 2.2, pp. 25-30.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Nonlinear effective index β N L , normalized by the low-intensity linear effective index β L versus the electric field magnitude in the metal at the air–gold interface for wavelength of 1.5 μ m calculated by: effective index method (dashed red curve), scalar dispersion equation (dashed–dotted black curve) and the full vectorial method (solid blue curve).

Fig. 2
Fig. 2

Nonlinear dispersion relation of a single-surface SPP on air–gold interface at different interface electric field amplitudes: dashed blue, 12 GV m ; red circles, 11.5 GV m ; black crosses, 11 GV m ; green diamonds, 10.5 GV m ; brown triangles, 10 GV m ; purple stars, 9.5 GV m . The inset is the nonlinear effective index normalized by the linear one versus the wavelength and field amplitude.

Fig. 3
Fig. 3

Group index versus wavelength at different electric field amplitudes: dashed blue, 12 GV m ; red circles, 11.5 GV m ; black crosses, 11 GV m ; green diamonds, 10.5 GV m ; brown triangles, 10 GV m ; purple stars, 9.5 GV m . The inset is the nonlinear group index normalized by the linear one versus the wavelength and field amplitude.

Equations (9)

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

F PM ( r ) = 1 m ( e ω ) 2 ( E ( r ) × ( × E ( r ) ) + E ( r ) E ( r ) ) ,
Φ PM ( r ) = e 2 | E ( r ) | 2 2 m ω 2 .
n PM ( r ) = 1 3 π 2 ( 2 m 2 ) 3 2 ( E f Φ PM ( r ) ) 3 2 ,
ε PM ( | E ( r ) | 2 ) = 1 e 2 3 π 2 ε 0 m ω 2 ( 2 m 2 ) 3 2 ( E f e 2 | E ( r ) | 2 2 m ω 2 ) 3 2 ,
ε PM ( | E ( r ) | 2 ) = 1 ( ω p ω ) 2 + 3 2 ( ω p 3 π 2 ε 0 m e ) 2 3 e 4 ω 4 | E ( r ) | 2 = ε M + χ PM | E ( r ) | 2 ,
β = ε D ε PM ε D + ε PM ,
ε D β 2 ε D + ( β 2 ε M ) 1 2 χ PM E z 0 2 ( ε M + χ PM | E z ( 0 ) | 2 ) β 2 ( ε M + χ PM | E z ( 0 ) | 2 ) = 0 ,
[ ε M + ε D 2 β 2 ε D ] E z 0 2 ε D β E z ( 0 ) E x ( 0 ) β 2 ε D 1 2 χ PM E x 4 ( 0 ) + 1 2 χ PM E z 4 ( 0 ) = 0 ,
β ε D E z ( 0 ) β 2 ε D = ( ε M + χ PM E x 2 ( 0 ) + χ PM E z 2 ( 0 ) ) E x ( 0 ) ,

Metrics