Abstract

The influence of strongly focused radiation on the electromagnetic interaction of metal particles is studied. The near-field distribution of silver dimers is calculated by combining a multiple scattering approach and the multipolar expansion of focused beams based on the Richards–Wolf description of diffracting systems. The results show that tight focusing can induce larger maximum field enhancement and stronger localization of the near field than can plane wave illumination. Additional plasmonic resonances can be obtained due to the presence of different polarization contributions at focus.

© 2011 Optical Society of America

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    [CrossRef]
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    [CrossRef]

2010

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

2009

K. Şendur and E. Baran, Appl. Phys. B 96, 325 (2009).
[CrossRef]

2008

K. Şendur, W. Challener, and O. Mryasov, Opt. Express 16, 2874 (2008).
[CrossRef] [PubMed]

N. M. Mojarad, V. Sandoghdar, and M. Agio, J. Opt. Soc. Am. B 25, 651 (2008).
[CrossRef]

B. Stout, J. C. Auger, and A. Devilez, J. Opt. Soc. Am. A 25, 2549 (2008).
[CrossRef]

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

2005

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, Nat. Biotechnol. 23, 741 (2005).
[CrossRef] [PubMed]

2004

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

2003

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

2001

1998

1997

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

C. J. R. Sheppard and P. Török, J. Mod. Opt. 44, 803 (1997).
[CrossRef]

1982

J. M. Gérardy and M. Ausloos, Phys. Rev. B 25, 4204 (1982).
[CrossRef]

1972

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

1959

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

Agio, M.

Alivisatos, A. P.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, Nat. Biotechnol. 23, 741 (2005).
[CrossRef] [PubMed]

Auger, J. C.

Ausloos, M.

J. M. Gérardy and M. Ausloos, Phys. Rev. B 25, 4204 (1982).
[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]

M. Quinten, A. Leitner, J. R. Krenn, and F. R. Aussenegg, Opt. Lett. 23, 1331 (1998).
[CrossRef]

Baran, E.

K. Şendur and E. Baran, Appl. Phys. B 96, 325 (2009).
[CrossRef]

Biagioni, P.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Bonnet, C.

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

Broyer, M.

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

Challener, W.

Cherukulappurath, S.

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

Christy, R. W.

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

Cottancin, E.

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

Dasari, R. R.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Devilez, A.

Feld, M. S.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Forchel, A.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Geisler, P.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Gérardy, J. M.

J. M. Gérardy and M. Ausloos, Phys. Rev. B 25, 4204 (1982).
[CrossRef]

Ghenuche, P.

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

Hao, E.

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

Hecht, B.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[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]

Huang, J.-S.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Itzkan, I.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Johnson, P. B.

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

Kamp, M.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Kern, J.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Kneipp, H.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Kneipp, K.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Kottmann, J.

Krenn, J. R.

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

M. Quinten, A. Leitner, J. R. Krenn, and F. R. Aussenegg, Opt. Lett. 23, 1331 (1998).
[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]

M. Quinten, A. Leitner, J. R. Krenn, and F. R. Aussenegg, Opt. Lett. 23, 1331 (1998).
[CrossRef]

Lermé, J.

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

Liphardt, J.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, Nat. Biotechnol. 23, 741 (2005).
[CrossRef] [PubMed]

Marhaba, S.

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

Martin, O.

Mojarad, N. M.

Mryasov, O.

Pellarin, M.

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

Perelman, L. T.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Quidant, R.

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

Quinten, M.

Rechberger, W.

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

Reinhard, B. M.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, Nat. Biotechnol. 23, 741 (2005).
[CrossRef] [PubMed]

Richards, B.

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

Sandoghdar, V.

Schatz, G. C.

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

Sendur, K.

Sheppard, C. J. R.

C. J. R. Sheppard and P. Török, J. Mod. Opt. 44, 803 (1997).
[CrossRef]

Sonnichsen, C.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, Nat. Biotechnol. 23, 741 (2005).
[CrossRef] [PubMed]

Stout, B.

Taminiau, T. H.

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

Török, P.

C. J. R. Sheppard and P. Török, J. Mod. Opt. 44, 803 (1997).
[CrossRef]

van Hulst, N. F.

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

Wang, Y.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Weinmann, P.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Wolf, E.

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

Appl. Phys. B

K. Şendur and E. Baran, Appl. Phys. B 96, 325 (2009).
[CrossRef]

J. Chem. Phys.

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

J. Mod. Opt.

C. J. R. Sheppard and P. Török, J. Mod. Opt. 44, 803 (1997).
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Nano Lett.

J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, Nano Lett. 10, 2105(2010).
[CrossRef] [PubMed]

Nat. Biotechnol.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, Nat. Biotechnol. 23, 741 (2005).
[CrossRef] [PubMed]

Opt. Commun.

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

Opt. Express

Opt. Lett.

Phys. Rev. B

J. Lermé, C. Bonnet, M. Broyer, E. Cottancin, S. Marhaba, and M. Pellarin, Phys. Rev. B 77, 245406 (2008).
[CrossRef]

J. M. Gérardy and M. Ausloos, Phys. Rev. B 25, 4204 (1982).
[CrossRef]

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

Phys. Rev. Lett.

P. Ghenuche, S. Cherukulappurath, T. H. Taminiau, N. F. van Hulst, and R. Quidant, Phys. Rev. Lett. 101, 116805(2008).
[CrossRef] [PubMed]

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667(1997).
[CrossRef]

Proc. R. Soc. London Ser. A

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Electric field components at focus for an x-polarized plane wave with photon energy of 3 eV focused by a lens with semiaperture (a), (b), (c)  20 ° and (d), (e), (f)  70 ° : (a), (d) x, (b), (d) y, and (c), (f) z components. The field is calculated at z = 0 in an area of 400 nm × 400 nm and the medium is air.

Fig. 2
Fig. 2

Spectral and semiaperture dependence of K [Eq. (1)] for (a) a single silver particle with R = 75 nm placed at the origin and (b) a silver dimer with R = 75 nm and d = 5 nm located symmetrically on the x axis.

Fig. 3
Fig. 3

Near-field intensity enhancement maps for a silver dimer with R = 75 nm and d = 5 nm (a), (b) under plane wave illumination at 2.33 eV and (c), (d) under focused radiation at 2.18 eV with α = 90 ° . The maps are calculated at (a), (c)  y = 0 and (b), (d)  x = 0 planes and are normalized to the incident intensity at the origin.

Fig. 4
Fig. 4

Spectral and semiaperture dependence of K [Eq. (1)] for dimers with d = 5 nm and (a)  R = 10 nm and (b)  R = 25 nm .

Fig. 5
Fig. 5

(a), (b) Near-field intensity enhancement maps and (c), (d) surface charge density distribution for a silver dimer with R = 25 nm and d = 5 nm at 2.65 eV (a), (c) under plane wave illumination and (b), (d) under focused radiation with α = 90 ° . The near-field maps are calculated at the y = 0 plane and are normalized to the incident intensity at the origin.

Equations (1)

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K = 1 4 π 1 | E inc ( 0 , 0 , 0 ) | 2 S | E total | 2 d S ,

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