Abstract

We numerically investigate the efficiency of surface-plasmon-polariton (SPP) focusing by curved chains of gold (silver) nanoparticles located on a gold (silver) surface. The employed model is based on the Green’s function formalism and the dipole approximation for field scattering by nanoparticles. The SPP focusing is considered for two cases of semicircle and parabolic chains of nanoparticles. We demonstrate that the efficiency of the SPP focusing is nonmonotonically dependent on the wavelength of an external light beam exciting the SPPs. Namely, the position of the intensity maximum at the focal point on the wavelength scale is determined by ohmic loss in the metal and scattering cross sections of individual nanoparticles in the chains. The dependence of the SPP focusing on the shape of the nanoparticle chains is also discussed.

© 2008 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  13. L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
    [CrossRef] [PubMed]
  14. A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
    [CrossRef]
  15. Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
    [CrossRef]
  16. A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, R. Kiyan, C. Reinhardt, S. Passinger, and B. N. Chichkov, “Focusing and directing of surface plasmon polaritons by curved chains of nanoparticles,” Opt. Express 15, 16667-16680 (2007).
    [CrossRef] [PubMed]
  17. A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
    [CrossRef]
  18. L. Novotny, B. Hecht, and D. W. Pohl, “Interference of locallyexcited surface plasmons,” J. Appl. Phys. 81, 1798-1806 (1997).
    [CrossRef]
  19. A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by small ellipsoid particles,” Surf. Sci. 590, 173-180 (2005).
    [CrossRef]
  20. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Electrodynamics of Continuous Media (Pergamon, 1984), Vol. 8.
  21. O. J. F. Martin, C. Girard, and A. Dereux, “Generalized field propagator for electromagnetic scattering and light confinement,” Phys. Rev. Lett. 74, 526-529 (1995).
    [CrossRef] [PubMed]
  22. T. Søndergaard and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by a small particle placed near a metal surface: an analytical study,” Phys. Rev. B 69, 045422 (2004).
    [CrossRef]
  23. M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, “Accurate and efficient computation of the Greens tensor for stratified media,” Phys. Rev. E 62, 5797-5807 (2000).
    [CrossRef]
  24. A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton guiding by chains of nanoparticles,” Laser Phys. Lett. 3, 396-400 (2006).
    [CrossRef]
  25. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370-4379 (1972).
    [CrossRef]
  26. A. V. Zayats and I. I. Smolyaninov, “Near-field photonics: surfaceplasmon polaritons and localized surface plasmons,” J. Opt. A, Pure Appl. Opt. 5, S16-S50 (2003).
    [CrossRef]
  27. A. B. Evlyukhin and S. I. Bozhevolnyi, “Point-dipole approximation for surface plasmon polariton scattering: implications and limitations,” Phys. Rev. B 71, 134303 (2005).
    [CrossRef]

2007 (2)

2006 (5)

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
[CrossRef]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

E. Moreno, F. J. García-Vidal, S. G. Rodrigo, L. Martín-Moreno, and S. I. Bozhevolnyi, “Channel plasmon polaritons: modal shape, dispersion, and losses,” Opt. Lett. 31, 3447-3449 (2006).
[CrossRef] [PubMed]

Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton guiding by chains of nanoparticles,” Laser Phys. Lett. 3, 396-400 (2006).
[CrossRef]

2005 (7)

A. B. Evlyukhin and S. I. Bozhevolnyi, “Point-dipole approximation for surface plasmon polariton scattering: implications and limitations,” Phys. Rev. B 71, 134303 (2005).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by small ellipsoid particles,” Surf. Sci. 590, 173-180 (2005).
[CrossRef]

W. Nomura, M. Ohtsu, and T. Yatsui, “Nanodot coupler with a surface plasmon polariton condenser for optical far/near-field conversion,” Appl. Phys. Lett. 86, 181108 (2005).
[CrossRef]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

2004 (1)

T. Søndergaard and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by a small particle placed near a metal surface: an analytical study,” Phys. Rev. B 69, 045422 (2004).
[CrossRef]

2003 (3)

A. V. Zayats and I. I. Smolyaninov, “Near-field photonics: surfaceplasmon polaritons and localized surface plasmons,” J. Opt. A, Pure Appl. Opt. 5, S16-S50 (2003).
[CrossRef]

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

2002 (1)

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

2000 (1)

M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, “Accurate and efficient computation of the Greens tensor for stratified media,” Phys. Rev. E 62, 5797-5807 (2000).
[CrossRef]

1998 (1)

S. I. Bozhevolnyi and V. Coello, “Elastic scattering of surface plasmon polaritons: modeling and experiment,” Phys. Rev. B 58, 10899-10910 (1998).
[CrossRef]

1997 (2)

I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, “Experimental study of surface-plasmon scattering by individual surface defects,” Phys. Rev. B 56, 1601-1611 (1997).
[CrossRef]

L. Novotny, B. Hecht, and D. W. Pohl, “Interference of locallyexcited surface plasmons,” J. Appl. Phys. 81, 1798-1806 (1997).
[CrossRef]

1995 (1)

O. J. F. Martin, C. Girard, and A. Dereux, “Generalized field propagator for electromagnetic scattering and light confinement,” Phys. Rev. Lett. 74, 526-529 (1995).
[CrossRef] [PubMed]

1972 (1)

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

Aussenegg, F. R.

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

Boltasseva, A.

Bozhevolnyi, S. I.

I. P. Radko, S. I. Bozhevolnyi, A. B. Evlyukhin, and A. Boltasseva, “Surface plasmon polariton beam focusing with parabolic nanoparticle chains,” Opt. Express 15, 6576-6582 (2007).
[CrossRef] [PubMed]

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, R. Kiyan, C. Reinhardt, S. Passinger, and B. N. Chichkov, “Focusing and directing of surface plasmon polaritons by curved chains of nanoparticles,” Opt. Express 15, 16667-16680 (2007).
[CrossRef] [PubMed]

E. Moreno, F. J. García-Vidal, S. G. Rodrigo, L. Martín-Moreno, and S. I. Bozhevolnyi, “Channel plasmon polaritons: modal shape, dispersion, and losses,” Opt. Lett. 31, 3447-3449 (2006).
[CrossRef] [PubMed]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton guiding by chains of nanoparticles,” Laser Phys. Lett. 3, 396-400 (2006).
[CrossRef]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by small ellipsoid particles,” Surf. Sci. 590, 173-180 (2005).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Point-dipole approximation for surface plasmon polariton scattering: implications and limitations,” Phys. Rev. B 71, 134303 (2005).
[CrossRef]

T. Søndergaard and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by a small particle placed near a metal surface: an analytical study,” Phys. Rev. B 69, 045422 (2004).
[CrossRef]

S. I. Bozhevolnyi and V. Coello, “Elastic scattering of surface plasmon polaritons: modeling and experiment,” Phys. Rev. B 58, 10899-10910 (1998).
[CrossRef]

Brown, D. E.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Chichkov, B. N.

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

Coello, V.

S. I. Bozhevolnyi and V. Coello, “Elastic scattering of surface plasmon polaritons: modeling and experiment,” Phys. Rev. B 58, 10899-10910 (1998).
[CrossRef]

Davis, C. C.

I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, “Experimental study of surface-plasmon scattering by individual surface defects,” Phys. Rev. B 56, 1601-1611 (1997).
[CrossRef]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

O. J. F. Martin, C. Girard, and A. Dereux, “Generalized field propagator for electromagnetic scattering and light confinement,” Phys. Rev. Lett. 74, 526-529 (1995).
[CrossRef] [PubMed]

Devaux, E.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

Ditlbacher, H.

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

Drezet, A.

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

Ebbesen, T. W.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

Evlyukhin, A. B.

I. P. Radko, S. I. Bozhevolnyi, A. B. Evlyukhin, and A. Boltasseva, “Surface plasmon polariton beam focusing with parabolic nanoparticle chains,” Opt. Express 15, 6576-6582 (2007).
[CrossRef] [PubMed]

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, R. Kiyan, C. Reinhardt, S. Passinger, and B. N. Chichkov, “Focusing and directing of surface plasmon polaritons by curved chains of nanoparticles,” Opt. Express 15, 16667-16680 (2007).
[CrossRef] [PubMed]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton guiding by chains of nanoparticles,” Laser Phys. Lett. 3, 396-400 (2006).
[CrossRef]

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by small ellipsoid particles,” Surf. Sci. 590, 173-180 (2005).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Point-dipole approximation for surface plasmon polariton scattering: implications and limitations,” Phys. Rev. B 71, 134303 (2005).
[CrossRef]

García-Vidal, F. J.

Gay-Balmaz, P.

M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, “Accurate and efficient computation of the Greens tensor for stratified media,” Phys. Rev. E 62, 5797-5807 (2000).
[CrossRef]

Girard, C.

O. J. F. Martin, C. Girard, and A. Dereux, “Generalized field propagator for electromagnetic scattering and light confinement,” Phys. Rev. Lett. 74, 526-529 (1995).
[CrossRef] [PubMed]

Hecht, B.

L. Novotny, B. Hecht, and D. W. Pohl, “Interference of locallyexcited surface plasmons,” J. Appl. Phys. 81, 1798-1806 (1997).
[CrossRef]

Hiller, J. M.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Hohenau, A.

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

Hua, J.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

Kimball, C. W.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Kiyan, R.

Krenn, J. R.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
[CrossRef]

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

Laluet, J.-Y.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

Landau, L. D.

L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Electrodynamics of Continuous Media (Pergamon, 1984), Vol. 8.

Lee, H.

Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
[CrossRef]

Leitner, A.

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

Lifshitz, E. M.

L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Electrodynamics of Continuous Media (Pergamon, 1984), Vol. 8.

Liu, Z.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

Liu, Z. W.

Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
[CrossRef]

Mait, J.

I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, “Experimental study of surface-plasmon scattering by individual surface defects,” Phys. Rev. B 56, 1601-1611 (1997).
[CrossRef]

Martin, O. J. F.

M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, “Accurate and efficient computation of the Greens tensor for stratified media,” Phys. Rev. E 62, 5797-5807 (2000).
[CrossRef]

O. J. F. Martin, C. Girard, and A. Dereux, “Generalized field propagator for electromagnetic scattering and light confinement,” Phys. Rev. Lett. 74, 526-529 (1995).
[CrossRef] [PubMed]

Martín-Moreno, L.

Mazzoni, D. L.

I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, “Experimental study of surface-plasmon scattering by individual surface defects,” Phys. Rev. B 56, 1601-1611 (1997).
[CrossRef]

Moreno, E.

Nomura, W.

W. Nomura, M. Ohtsu, and T. Yatsui, “Nanodot coupler with a surface plasmon polariton condenser for optical far/near-field conversion,” Appl. Phys. Lett. 86, 181108 (2005).
[CrossRef]

Novotny, L.

L. Novotny, B. Hecht, and D. W. Pohl, “Interference of locallyexcited surface plasmons,” J. Appl. Phys. 81, 1798-1806 (1997).
[CrossRef]

Ohtsu, M.

W. Nomura, M. Ohtsu, and T. Yatsui, “Nanodot coupler with a surface plasmon polariton condenser for optical far/near-field conversion,” Appl. Phys. Lett. 86, 181108 (2005).
[CrossRef]

Passinger, S.

Paulus, M.

M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, “Accurate and efficient computation of the Greens tensor for stratified media,” Phys. Rev. E 62, 5797-5807 (2000).
[CrossRef]

Pearson, J.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Pikus, Y.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

Pohl, D. W.

L. Novotny, B. Hecht, and D. W. Pohl, “Interference of locallyexcited surface plasmons,” J. Appl. Phys. 81, 1798-1806 (1997).
[CrossRef]

Radko, I. P.

Raether, H.

H. Raether, “Surface Plasmon,” in Springer Tracts in Modern Physics (Springer, 1988), Vol. 111.

Reinhardt, C.

Rodrigo, S. G.

Schider, G.

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

Smolyaninov, I. I.

A. V. Zayats and I. I. Smolyaninov, “Near-field photonics: surfaceplasmon polaritons and localized surface plasmons,” J. Opt. A, Pure Appl. Opt. 5, S16-S50 (2003).
[CrossRef]

I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, “Experimental study of surface-plasmon scattering by individual surface defects,” Phys. Rev. B 56, 1601-1611 (1997).
[CrossRef]

Søndergaard, T.

T. Søndergaard and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by a small particle placed near a metal surface: an analytical study,” Phys. Rev. B 69, 045422 (2004).
[CrossRef]

Srituravanich, W.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

Steele, J. M.

Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
[CrossRef]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

Steinberger, B.

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

Stepanov, A. L.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, R. Kiyan, C. Reinhardt, S. Passinger, and B. N. Chichkov, “Focusing and directing of surface plasmon polaritons by curved chains of nanoparticles,” Opt. Express 15, 16667-16680 (2007).
[CrossRef] [PubMed]

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
[CrossRef]

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

A. L. Stepanov, J. R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, and F. R. Aussenegg, “Quantitative analysis of surface plasmon interaction with silver nanoparticles,” Opt. Lett. 30, 1524-1526 (2005).
[CrossRef] [PubMed]

Sun, C.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

Vlasko-Vlasov, V. K.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Volkov, V. S.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

Welp, U.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Yatsui, T.

W. Nomura, M. Ohtsu, and T. Yatsui, “Nanodot coupler with a surface plasmon polariton condenser for optical far/near-field conversion,” Appl. Phys. Lett. 86, 181108 (2005).
[CrossRef]

Yin, L.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Zayats, A. V.

A. V. Zayats and I. I. Smolyaninov, “Near-field photonics: surfaceplasmon polaritons and localized surface plasmons,” J. Opt. A, Pure Appl. Opt. 5, S16-S50 (2003).
[CrossRef]

Zhang, X.

Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
[CrossRef]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

Appl. Phys. B (1)

A. B. Evlyukhin, S. I. Bozhevolnyi, A. L. Stepanov, and J. R. Krenn, “Splitting of a surface plasmon polariton beam by chains of nanoparticles,” Appl. Phys. B 84, 29-34 (2006).
[CrossRef]

Appl. Phys. Lett. (4)

W. Nomura, M. Ohtsu, and T. Yatsui, “Nanodot coupler with a surface plasmon polariton condenser for optical far/near-field conversion,” Appl. Phys. Lett. 86, 181108 (2005).
[CrossRef]

A. Drezet, A. L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon propagation in an elliptical corral,” Appl. Phys. Lett. 86, 074104 (2005).
[CrossRef]

Z. W. Liu, J. M. Steele, H. Lee, and X. Zhang, “Tuning the focus of a plasmonic lens by the incident angle,” Appl. Phys. Lett. 88, 171108 (2006).
[CrossRef]

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, “Two-dimensional optics with surface plasmon polaritons,”Appl. Phys. Lett. 81, 1762-1764 (2002).
[CrossRef]

J. Appl. Phys. (1)

L. Novotny, B. Hecht, and D. W. Pohl, “Interference of locallyexcited surface plasmons,” J. Appl. Phys. 81, 1798-1806 (1997).
[CrossRef]

J. Microsc. (1)

J. R. Krenn, H. Ditlbacher, G. Schider, A. Hohenau, A. Leitner, and F. R. Aussenegg, “Surface plasmon micro- and nano-optics,” J. Microsc. 209, 167-172 (2003).
[CrossRef] [PubMed]

J. Opt. A, Pure Appl. Opt. (1)

A. V. Zayats and I. I. Smolyaninov, “Near-field photonics: surfaceplasmon polaritons and localized surface plasmons,” J. Opt. A, Pure Appl. Opt. 5, S16-S50 (2003).
[CrossRef]

Laser Phys. Lett. (1)

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton guiding by chains of nanoparticles,” Laser Phys. Lett. 3, 396-400 (2006).
[CrossRef]

Nano Lett. (2)

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5, 1726-1729 (2005).
[CrossRef] [PubMed]

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5, 1399-1402 (2005).
[CrossRef] [PubMed]

Nature (2)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440, 508-511 (2006).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. B (5)

I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, “Experimental study of surface-plasmon scattering by individual surface defects,” Phys. Rev. B 56, 1601-1611 (1997).
[CrossRef]

S. I. Bozhevolnyi and V. Coello, “Elastic scattering of surface plasmon polaritons: modeling and experiment,” Phys. Rev. B 58, 10899-10910 (1998).
[CrossRef]

T. Søndergaard and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by a small particle placed near a metal surface: an analytical study,” Phys. Rev. B 69, 045422 (2004).
[CrossRef]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

A. B. Evlyukhin and S. I. Bozhevolnyi, “Point-dipole approximation for surface plasmon polariton scattering: implications and limitations,” Phys. Rev. B 71, 134303 (2005).
[CrossRef]

Phys. Rev. E (1)

M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, “Accurate and efficient computation of the Greens tensor for stratified media,” Phys. Rev. E 62, 5797-5807 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

O. J. F. Martin, C. Girard, and A. Dereux, “Generalized field propagator for electromagnetic scattering and light confinement,” Phys. Rev. Lett. 74, 526-529 (1995).
[CrossRef] [PubMed]

Surf. Sci. (1)

A. B. Evlyukhin and S. I. Bozhevolnyi, “Surface plasmon polariton scattering by small ellipsoid particles,” Surf. Sci. 590, 173-180 (2005).
[CrossRef]

Other (2)

L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Electrodynamics of Continuous Media (Pergamon, 1984), Vol. 8.

H. Raether, “Surface Plasmon,” in Springer Tracts in Modern Physics (Springer, 1988), Vol. 111.

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Figures (8)

Fig. 1
Fig. 1

Schematic top view of the considered system: a curved chain of identical metal particles with constant interparticle (center-to-center) spacing D and with curvature radius R is located on the metal surface in the air half-space. The dashed circle indicates the incident light spot exciting the SPPs. Only the particles located inside this circle efficiently interact with the incident light. The angle β determines the length of a circle segment.

Fig. 2
Fig. 2

Spectrum of the dielectric functions of gold and silver. (a) Real part and (b) imaginary part.

Fig. 3
Fig. 3

Normalized SPP intensities in focus (a) along the y axis in Fig. 1 (transverse cross section) and (b) along the x axis in Fig. 1 (longitudinal cross section). In calculations W = 10 μ m is used. The metal is gold.

Fig. 4
Fig. 4

FWHM of the SPP intensity in focus along the y direction for the semicircle nanoparticle chain with the radius of 10 μ m . In calculations W = 10 μ m is used.

Fig. 5
Fig. 5

Wavelength dependence of the SPP’s propagation length on a planar metal surface.

Fig. 6
Fig. 6

Wavelength dependence of the SPP intensity at the focal point for the system presented in Fig. 1. In calculations W = 10 μ m is used.

Fig. 7
Fig. 7

Normalized SPP intensities along the cross section through the SPP focus parallel to the x axis in Fig. 1 (longitudinal cross section) for parabolic and semicircle chains of gold nanoparticles located on a gold surface. The excitation light wavelength corresponds to the maximum intensity at the focal point.

Fig. 8
Fig. 8

Normalized SPP intensities along the cross section through the SPP focus parallel to the y axis in Fig. 1 (transverse cross section) for parabolic and semicircle chains of gold nanoparticles located on a gold surface. The excitation light wavelength corresponds to the maximum intensity at the focal point.

Equations (3)

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

p i = α ̂ E 0 ( r i ) + k 0 2 ε 0 α ̂ [ G ̂ s ( r i , r i ) p i + j i N G ̂ ( r i , r j ) p j ] , i = 1 , , N ,
E ( r ) = k 0 2 ε 0 i = 1 N G ̂ SPP ( r , r i ) p i ,
G ̂ SPP ( r , r ) = i a k SPP H 0 ( 1 ) ( k SPP ρ ) e a k SPP ( z + z ) 2 ( 1 a 4 ) ( 1 a 2 ) ( z ̂ z ̂ + a 2 ρ ̂ ρ ̂ + ( z ̂ ρ ̂ ρ ̂ z ̂ ) i a ) ,

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