Abstract

We numerically analyze the spectral properties of localized plasmon resonances in metal nanoparticles when these are above a dielectric substrate. This analysis is performed as a function of the various parameters involved in the problem (relative optical properties, particle–substrate separation, angle of incidence, etc.). It can be shown that from the spectral behavior of the resonance in the far field, information about particle near-field interactions can be obtained.

© 2006 Optical Society of America

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2005 (2)

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

J. Césario, R. Quidant, G. Badenes, and S. Enoch, Opt. Lett. 30, 3404 (2005).
[CrossRef]

2004 (2)

E. Hao and G. C. Schatz, J. Chem. Phys. 120, 357 (2004).
[CrossRef] [PubMed]

H. Mertens, J. Verhoeven, A. Polman, and F. D. Tichelaar, Appl. Phys. Lett. 85(8), 1317 (2004).
[CrossRef]

2003 (3)

K. Lance Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
[CrossRef]

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

2001 (1)

1998 (1)

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

1995 (1)

1994 (1)

1972 (1)

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

Aussenegg, F. R.

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Badenes, G.

Burger, S.

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

Césario, J.

Christy, R. W.

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

Coronado, E.

K. Lance Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
[CrossRef]

Enoch, S.

Feldmann, J.

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

González, F.

Grosse, S.

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

Håkanson, U.

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

Hao, E.

E. Hao and G. C. Schatz, J. Chem. Phys. 120, 357 (2004).
[CrossRef] [PubMed]

Henkel, C.

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

Hohenau, A.

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Johnson, P. B.

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

Kalkbrenner, T.

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

Kelly, K. Lance

K. Lance Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
[CrossRef]

Klar, T.

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

Kottmann, J. P.

Krenn, J. R.

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Lamprecht, B.

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Leitner, A.

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Madrazo, A.

Martin, O. J. F.

Mertens, H.

H. Mertens, J. Verhoeven, A. Polman, and F. D. Tichelaar, Appl. Phys. Lett. 85(8), 1317 (2004).
[CrossRef]

Mock, J. J.

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Moreno, F.

Nieto-Vesperinas, M.

Perner, M.

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

Polman, A.

H. Mertens, J. Verhoeven, A. Polman, and F. D. Tichelaar, Appl. Phys. Lett. 85(8), 1317 (2004).
[CrossRef]

Quidant, R.

Rechberger, W.

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Sandoghdar, V.

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

Schädle, A.

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

Schatz, G. C.

E. Hao and G. C. Schatz, J. Chem. Phys. 120, 357 (2004).
[CrossRef] [PubMed]

K. Lance Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
[CrossRef]

Schultz, S.

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Smith, D. R.

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Spirkl, W.

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

Su, K.-H.

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Tichelaar, F. D.

H. Mertens, J. Verhoeven, A. Polman, and F. D. Tichelaar, Appl. Phys. Lett. 85(8), 1317 (2004).
[CrossRef]

Valle, P. J.

Verhoeven, J.

H. Mertens, J. Verhoeven, A. Polman, and F. D. Tichelaar, Appl. Phys. Lett. 85(8), 1317 (2004).
[CrossRef]

von Plessen, G.

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

Wei, Q.-H.

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Zhang, X.

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Zhao, L. L.

K. Lance Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

H. Mertens, J. Verhoeven, A. Polman, and F. D. Tichelaar, Appl. Phys. Lett. 85(8), 1317 (2004).
[CrossRef]

J. Chem. Phys. (1)

E. Hao and G. C. Schatz, J. Chem. Phys. 120, 357 (2004).
[CrossRef] [PubMed]

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

J. Phys. Chem. B (1)

K. Lance Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
[CrossRef]

Nanoletters (1)

K.-H. Su, Q.-H. Wei, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, Nanoletters 3, 1087 (2003).
[CrossRef]

Opt. Commun. (1)

W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. B (1)

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

Phys. Rev. Lett. (2)

T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
[CrossRef]

T. Kalkbrenner, U. Håkanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar, Phys. Rev. Lett. 95, 200801 (2005).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

SCS ( λ ) for an isolated silver cylinder in vacuum ( R = 25 nm ) (◻, λ max = 347 nm ) and for the same cylinder above a dielectric substrate ( n = 1.5 ) for d = 2 nm (엯, λ max = 359 nm ) and d = 1 nm (◇, λ max = 395 nm ); normal incidence. Inset, scattering geometry.

Fig. 2
Fig. 2

Evolution of the spectral position of the dipolar resonance as a function of the cylinder-substrate gap, d. 엯, n = 1 , n = 1.5 , R = 25 nm ; ◻, n = 1 , n = 3 , R = 25 nm ; ◆, n = 1 , n = 1.5 , R = 10 nm ; ▴, n = 1.5 , n = 1 , R = 25 nm . The fitted functions (solid curves) to A + ( B r 6 + C r 4 ) 1 2 are also shown. Inset, Modulus of the electric near field behind an isolated silver cylinder of R = 25 nm in the direction of the illuminating beam (P polarized) as a function of the distance to the cylinder surface, d. ◻, n = 1 ; 엯, n = 1.5

Fig. 3
Fig. 3

2D plots (axis in micrometers) of the modulus of the scattered electric field (arbitrary units) around a silver cylinder ( R = 25 nm ) when excited at normal incidence (white arrow) by a P-polarized Gaussian beam for λ = λ max (black arrows). Isolated cylinder with [(a), top] n = 1 and [(b), top] n = 1.5 , and the cylinder above a dielectric substrate at d = 1 nm with [(a), bottom] n = 1 , n = 1.5 and [(b), bottom] n = 1.5 , n = 1 . Insets, SCS ( λ ) (λ in nanometers).

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