Abstract

The behavior of electromagnetic fields near the edge of a plasmonic wedge is investigated. We study the scattering properties, field divergence, and field enhancement near an Au wedge bounded by SiO2 upon illumination by TM-polarized light using hypersingular integral equations, as a function of wavelength, wedge angle, and angle of incidence. The transverse scattered field components show a convergent behavior at wavelengths approaching the surface plasmon energy asymptote (on the corresponding flat Au-SiO2 interface), and become strongly divergent at longer wavelengths. The computed divergence is compared with Meixner’s theory and is found to be in good agreement over a restricted range of parameters.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Sommerfeld, Math. Ann. 47, 317 (1896).
    [CrossRef]
  2. J. Meixner, IEEE Trans. Antennas Propag. 20, 442 (1972).
    [CrossRef]
  3. E. Marx, IEEE Trans. Antennas Propag. 38, 1438 (1990).
    [CrossRef]
  4. P. Y. Ufimtsev, B. Khayatian, and Y. Rahmat-Samii, Microw. Opt. Tech. Lett. 24, 218 (2000).
    [CrossRef]
  5. S. Y. Kim, J. W. Ra, and S. Y. Shin, IEEE Trans. Antennas Propag. 39, 1272 (1991).
    [CrossRef]
  6. J. Y. Jeon and J. W. Ra, Microw. Opt. Technol. Lett. 25, 257 (2000).
    [CrossRef]
  7. H. T. Ha and J. W. Ra, Microw. Opt. Technol. Lett. 16, 89 (1997).
    [CrossRef]
  8. E. Marx, IEEE Trans. Antennas Propag. 41, 1001 (1993).
    [CrossRef]
  9. E. Marx, Radio Sci. 42, RS6S09 (2007).
    [CrossRef]
  10. J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
    [CrossRef]
  11. C. Monzon, D. W. Forester, D. R. Smith, and P. Loschialpo, J. Opt. Soc. Am. A 23, 339 (2006).
    [CrossRef]
  12. A. S. Lapchuk, S. A. Shylo, and I. P. Nevirkovets, J. Opt. Soc. Am. A 25, 1535 (2008).
    [CrossRef]
  13. D. Arbel and M. Orenstein, Opt. Express 16, 3114 (2008).
    [CrossRef]
  14. M. Yan and M. Qiu, J. Opt. Soc. Am. B 24, 2333 (2007).
    [CrossRef]
  15. Y. Luo, J. B. Pendry, and A. Aubry, Nano Lett. 10, 4186 (2010).
    [CrossRef]
  16. W. Zhang, X. Cui, and O. J. F. Martin, J. Raman Spectrosc. 40, 1338 (2009).
    [CrossRef]
  17. L. Li and G. Granet, J. Opt. Soc. Am. A 28, 738 (2011).
    [CrossRef]
  18. E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).
  19. J. M. McMahon, S. K. Gray, and G. C. Schatz, Phys. Rev. B 82, 035423 (2010).
    [CrossRef]

2011 (1)

2010 (2)

Y. Luo, J. B. Pendry, and A. Aubry, Nano Lett. 10, 4186 (2010).
[CrossRef]

J. M. McMahon, S. K. Gray, and G. C. Schatz, Phys. Rev. B 82, 035423 (2010).
[CrossRef]

2009 (1)

W. Zhang, X. Cui, and O. J. F. Martin, J. Raman Spectrosc. 40, 1338 (2009).
[CrossRef]

2008 (2)

2007 (2)

2006 (1)

2001 (1)

J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
[CrossRef]

2000 (2)

J. Y. Jeon and J. W. Ra, Microw. Opt. Technol. Lett. 25, 257 (2000).
[CrossRef]

P. Y. Ufimtsev, B. Khayatian, and Y. Rahmat-Samii, Microw. Opt. Tech. Lett. 24, 218 (2000).
[CrossRef]

1997 (1)

H. T. Ha and J. W. Ra, Microw. Opt. Technol. Lett. 16, 89 (1997).
[CrossRef]

1993 (1)

E. Marx, IEEE Trans. Antennas Propag. 41, 1001 (1993).
[CrossRef]

1991 (1)

S. Y. Kim, J. W. Ra, and S. Y. Shin, IEEE Trans. Antennas Propag. 39, 1272 (1991).
[CrossRef]

1990 (1)

E. Marx, IEEE Trans. Antennas Propag. 38, 1438 (1990).
[CrossRef]

1972 (1)

J. Meixner, IEEE Trans. Antennas Propag. 20, 442 (1972).
[CrossRef]

1896 (1)

A. Sommerfeld, Math. Ann. 47, 317 (1896).
[CrossRef]

Arbel, D.

Aubry, A.

Y. Luo, J. B. Pendry, and A. Aubry, Nano Lett. 10, 4186 (2010).
[CrossRef]

Cui, X.

W. Zhang, X. Cui, and O. J. F. Martin, J. Raman Spectrosc. 40, 1338 (2009).
[CrossRef]

Forester, D. W.

Granet, G.

Gray, S. K.

J. M. McMahon, S. K. Gray, and G. C. Schatz, Phys. Rev. B 82, 035423 (2010).
[CrossRef]

Ha, H. T.

H. T. Ha and J. W. Ra, Microw. Opt. Technol. Lett. 16, 89 (1997).
[CrossRef]

Jeon, J. Y.

J. Y. Jeon and J. W. Ra, Microw. Opt. Technol. Lett. 25, 257 (2000).
[CrossRef]

Khayatian, B.

P. Y. Ufimtsev, B. Khayatian, and Y. Rahmat-Samii, Microw. Opt. Tech. Lett. 24, 218 (2000).
[CrossRef]

Kim, S. Y.

S. Y. Kim, J. W. Ra, and S. Y. Shin, IEEE Trans. Antennas Propag. 39, 1272 (1991).
[CrossRef]

Kottmann, J. P.

J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
[CrossRef]

Lapchuk, A. S.

Li, L.

Loschialpo, P.

Luo, Y.

Y. Luo, J. B. Pendry, and A. Aubry, Nano Lett. 10, 4186 (2010).
[CrossRef]

Martin, O. J. F.

W. Zhang, X. Cui, and O. J. F. Martin, J. Raman Spectrosc. 40, 1338 (2009).
[CrossRef]

J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
[CrossRef]

Marx, E.

E. Marx, Radio Sci. 42, RS6S09 (2007).
[CrossRef]

E. Marx, IEEE Trans. Antennas Propag. 41, 1001 (1993).
[CrossRef]

E. Marx, IEEE Trans. Antennas Propag. 38, 1438 (1990).
[CrossRef]

McMahon, J. M.

J. M. McMahon, S. K. Gray, and G. C. Schatz, Phys. Rev. B 82, 035423 (2010).
[CrossRef]

Meixner, J.

J. Meixner, IEEE Trans. Antennas Propag. 20, 442 (1972).
[CrossRef]

Monzon, C.

Nevirkovets, I. P.

Orenstein, M.

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).

Pendry, J. B.

Y. Luo, J. B. Pendry, and A. Aubry, Nano Lett. 10, 4186 (2010).
[CrossRef]

Qiu, M.

Ra, J. W.

J. Y. Jeon and J. W. Ra, Microw. Opt. Technol. Lett. 25, 257 (2000).
[CrossRef]

H. T. Ha and J. W. Ra, Microw. Opt. Technol. Lett. 16, 89 (1997).
[CrossRef]

S. Y. Kim, J. W. Ra, and S. Y. Shin, IEEE Trans. Antennas Propag. 39, 1272 (1991).
[CrossRef]

Rahmat-Samii, Y.

P. Y. Ufimtsev, B. Khayatian, and Y. Rahmat-Samii, Microw. Opt. Tech. Lett. 24, 218 (2000).
[CrossRef]

Schatz, G. C.

J. M. McMahon, S. K. Gray, and G. C. Schatz, Phys. Rev. B 82, 035423 (2010).
[CrossRef]

Schultz, S.

J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
[CrossRef]

Shin, S. Y.

S. Y. Kim, J. W. Ra, and S. Y. Shin, IEEE Trans. Antennas Propag. 39, 1272 (1991).
[CrossRef]

Shylo, S. A.

Smith, D. R.

C. Monzon, D. W. Forester, D. R. Smith, and P. Loschialpo, J. Opt. Soc. Am. A 23, 339 (2006).
[CrossRef]

J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
[CrossRef]

Sommerfeld, A.

A. Sommerfeld, Math. Ann. 47, 317 (1896).
[CrossRef]

Ufimtsev, P. Y.

P. Y. Ufimtsev, B. Khayatian, and Y. Rahmat-Samii, Microw. Opt. Tech. Lett. 24, 218 (2000).
[CrossRef]

Yan, M.

Zhang, W.

W. Zhang, X. Cui, and O. J. F. Martin, J. Raman Spectrosc. 40, 1338 (2009).
[CrossRef]

IEEE Trans. Antennas Propag. (4)

J. Meixner, IEEE Trans. Antennas Propag. 20, 442 (1972).
[CrossRef]

E. Marx, IEEE Trans. Antennas Propag. 38, 1438 (1990).
[CrossRef]

S. Y. Kim, J. W. Ra, and S. Y. Shin, IEEE Trans. Antennas Propag. 39, 1272 (1991).
[CrossRef]

E. Marx, IEEE Trans. Antennas Propag. 41, 1001 (1993).
[CrossRef]

J. Opt. Soc. Am. A (3)

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

J. Raman Spectrosc. (1)

W. Zhang, X. Cui, and O. J. F. Martin, J. Raman Spectrosc. 40, 1338 (2009).
[CrossRef]

Math. Ann. (1)

A. Sommerfeld, Math. Ann. 47, 317 (1896).
[CrossRef]

Microw. Opt. Tech. Lett. (1)

P. Y. Ufimtsev, B. Khayatian, and Y. Rahmat-Samii, Microw. Opt. Tech. Lett. 24, 218 (2000).
[CrossRef]

Microw. Opt. Technol. Lett. (2)

J. Y. Jeon and J. W. Ra, Microw. Opt. Technol. Lett. 25, 257 (2000).
[CrossRef]

H. T. Ha and J. W. Ra, Microw. Opt. Technol. Lett. 16, 89 (1997).
[CrossRef]

Nano Lett. (1)

Y. Luo, J. B. Pendry, and A. Aubry, Nano Lett. 10, 4186 (2010).
[CrossRef]

Opt. Express (1)

Phys. Rev. B (1)

J. M. McMahon, S. K. Gray, and G. C. Schatz, Phys. Rev. B 82, 035423 (2010).
[CrossRef]

Phys. Rev. B. (1)

J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, Phys. Rev. B. 64, 235402 (2001).
[CrossRef]

Radio Sci. (1)

E. Marx, Radio Sci. 42, RS6S09 (2007).
[CrossRef]

Other (1)

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).

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 (2)

Fig. 1.
Fig. 1.

Divergence law of Au wedges bounded by SiO2 as a function of wavelength computed via HIE (points) and Meixner’s theory (curves). (a) Various wedge angles. (b) Comparison with the lossless case (Im{εm,εd}=0, β=60°). Inset: cross-section of the structure illuminated by a TM-polarized plane wave at ϕinc.; ζ(ρ,ψ) stands for E or H at the observation point (ρ,ψ).

Fig. 2.
Fig. 2.

Scattered fields versus distance computed via HIE. (a),(b) Normalized |Hscat| and |Escat| at λ0=356.75, 500, and 1000 nm for β=60°; lossy—thick curves, lossless—thin curves. (c) Normalized |Escat| at λ0=500 and 1000 nm for β=30°, 60°, and 90°. (d) Normalized |Escat| at λ0=1200nm for ϕinc=30°, 60°, 75°, 85°, and 90° and β=60°.

Metrics