Abstract

We show that the spatial decay of plasmons in a periodic metal-nanoparticle chain is composed of exponential and power-law decays. Our results show a high level of similarity between the absorptive and radiative decay channels. By analyzing the poles (and the corresponding residues) of the generating function for the lattice Green’s function, we explain the details of the spatial decay profile. We also present an analytical formula for the decay profile.

© 2011 Optical Society of America

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References

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2010 (2)

2007 (2)

V. A. Markel and A. K. Sarychev, Phys. Rev. B 75, 085426(2007).
[CrossRef]

K. H. Fung and C. T. Chan, Opt. Lett. 32, 973 (2007).
[CrossRef] [PubMed]

2006 (3)

A. Alù and N. Engheta, Phys. Rev. B 74, 205436 (2006).
[CrossRef]

E. N. Economou, Green’s Functions in Quantum Physics, 3rd ed. (Springer, 2006).

P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena, 2nd ed. (Springer, 2006).

2005 (2)

C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, Phys. Rev. E 72, 066606 (2005).
[CrossRef]

K. Sakoda, Optical Properties of Photonic Crystals, 2nd ed. (Springer, 2005).

2004 (1)

W. H. Weber and G. W. Ford, Phys. Rev. B 70, 125429(2004).
[CrossRef]

2002 (1)

J. K. Tomfohr and O. F. Sankey, Phys. Rev. B 65, 245105(2002).
[CrossRef]

2001 (1)

S. A. Maier, M. L. Brongersma, and H. A. Atwater, Appl. Phys. Lett. 78, 16 (2001).
[CrossRef]

1999 (1)

H. J. Choi and J. Ihm, Phys. Rev. B 59, 2267 (1999).
[CrossRef]

1998 (1)

1995 (1)

1992 (1)

N. Stefanou, V. Karathanos, and A. Modinos, J. Phys. Condens. Matter 4, 7389 (1992);
[CrossRef]

1936 (1)

L. P. Bouckaert, R. Smoluchowski, and E. Wigner, Phys. Rev. 50, 58 (1936).
[CrossRef]

Alù, A.

A. Alù and N. Engheta, Phys. Rev. B 74, 205436 (2006).
[CrossRef]

Atwater, H. A.

S. A. Maier, M. L. Brongersma, and H. A. Atwater, Appl. Phys. Lett. 78, 16 (2001).
[CrossRef]

Aussenegg, F. R.

Bouckaert, L. P.

L. P. Bouckaert, R. Smoluchowski, and E. Wigner, Phys. Rev. 50, 58 (1936).
[CrossRef]

Brongersma, M. L.

S. A. Maier, M. L. Brongersma, and H. A. Atwater, Appl. Phys. Lett. 78, 16 (2001).
[CrossRef]

Chan, C. T.

Choi, H. J.

H. J. Choi and J. Ihm, Phys. Rev. B 59, 2267 (1999).
[CrossRef]

Conforti, M.

Economou, E. N.

E. N. Economou, Green’s Functions in Quantum Physics, 3rd ed. (Springer, 2006).

Engheta, N.

A. Alù and N. Engheta, Phys. Rev. B 74, 205436 (2006).
[CrossRef]

Fainman, Y.

Ford, G. W.

W. H. Weber and G. W. Ford, Phys. Rev. B 70, 125429(2004).
[CrossRef]

Fung, K. H.

Guasoni, M.

Ihm, J.

H. J. Choi and J. Ihm, Phys. Rev. B 59, 2267 (1999).
[CrossRef]

Karathanos, V.

N. Stefanou, V. Karathanos, and A. Modinos, J. Phys. Condens. Matter 4, 7389 (1992);
[CrossRef]

Krenn, J. R.

Leitner, A.

Lomakin, V.

Maier, S. A.

S. A. Maier, M. L. Brongersma, and H. A. Atwater, Appl. Phys. Lett. 78, 16 (2001).
[CrossRef]

Markel, V. A.

V. A. Markel and A. K. Sarychev, Phys. Rev. B 75, 085426(2007).
[CrossRef]

Modinos, A.

N. Stefanou, V. Karathanos, and A. Modinos, J. Phys. Condens. Matter 4, 7389 (1992);
[CrossRef]

Quinten, M.

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals, 2nd ed. (Springer, 2005).

Sankey, O. F.

J. K. Tomfohr and O. F. Sankey, Phys. Rev. B 65, 245105(2002).
[CrossRef]

Sarychev, A. K.

V. A. Markel and A. K. Sarychev, Phys. Rev. B 75, 085426(2007).
[CrossRef]

Sheng, P.

P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena, 2nd ed. (Springer, 2006).

Simovski, C. R.

C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, Phys. Rev. E 72, 066606 (2005).
[CrossRef]

Smoluchowski, R.

L. P. Bouckaert, R. Smoluchowski, and E. Wigner, Phys. Rev. 50, 58 (1936).
[CrossRef]

Stefanou, N.

N. Stefanou, V. Karathanos, and A. Modinos, J. Phys. Condens. Matter 4, 7389 (1992);
[CrossRef]

Suzuki, T.

Tomfohr, J. K.

J. K. Tomfohr and O. F. Sankey, Phys. Rev. B 65, 245105(2002).
[CrossRef]

Tretyakov, S. A.

C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, Phys. Rev. E 72, 066606 (2005).
[CrossRef]

Van Orden, D.

Viitanen, A. J.

C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, Phys. Rev. E 72, 066606 (2005).
[CrossRef]

Weber, W. H.

W. H. Weber and G. W. Ford, Phys. Rev. B 70, 125429(2004).
[CrossRef]

Wigner, E.

L. P. Bouckaert, R. Smoluchowski, and E. Wigner, Phys. Rev. 50, 58 (1936).
[CrossRef]

Yu, K. L.

Appl. Phys. Lett. (1)

S. A. Maier, M. L. Brongersma, and H. A. Atwater, Appl. Phys. Lett. 78, 16 (2001).
[CrossRef]

J. Opt. Soc. Am. B (2)

J. Phys. Condens. Matter (1)

N. Stefanou, V. Karathanos, and A. Modinos, J. Phys. Condens. Matter 4, 7389 (1992);
[CrossRef]

Opt. Lett. (3)

Phys. Rev. (1)

L. P. Bouckaert, R. Smoluchowski, and E. Wigner, Phys. Rev. 50, 58 (1936).
[CrossRef]

Phys. Rev. B (5)

H. J. Choi and J. Ihm, Phys. Rev. B 59, 2267 (1999).
[CrossRef]

J. K. Tomfohr and O. F. Sankey, Phys. Rev. B 65, 245105(2002).
[CrossRef]

W. H. Weber and G. W. Ford, Phys. Rev. B 70, 125429(2004).
[CrossRef]

V. A. Markel and A. K. Sarychev, Phys. Rev. B 75, 085426(2007).
[CrossRef]

A. Alù and N. Engheta, Phys. Rev. B 74, 205436 (2006).
[CrossRef]

Phys. Rev. E (1)

C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, Phys. Rev. E 72, 066606 (2005).
[CrossRef]

Other (3)

K. Sakoda, Optical Properties of Photonic Crystals, 2nd ed. (Springer, 2005).

E. N. Economou, Green’s Functions in Quantum Physics, 3rd ed. (Springer, 2006).

P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena, 2nd ed. (Springer, 2006).

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Figures (2)

Fig. 1
Fig. 1

Complex band structure for the 1D array of MNPs with (a)  Re ( k ) and (b)  Im ( k ) . (c)–(f) Contour plots of | g ( ω , z ) | at different frequencies for both lossless and lossy metal.

Fig. 2
Fig. 2

Plasmon decay profiles in the 1D MNP chain. (a) Schematic diagram of the dipole source location. (b)–(d) Values of G ( ω , m ) and comparisons with the ansatz functions for the same cases as in Figs. 1d, 1e, 1f, respectively. The insets show the same graphs, but in log-log scale.

Equations (3)

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a 3 / α ( ω ) κ ( ω , k ) = 0 ,
G ( ω , m ) = ( a / 2 π ) π / a π / a α e i g ( ω , k ) e i k m a d k ,
G ans ( ω , m ) c 1 z 1 | m | + c 2 z 2 | m | + ξ ( m ) ,

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