Abstract

Plasmon-polariton transport on chains of noncontacting noble-metal nanoparticles suffers from severe attenuation. A possible way of countering the attenuation by embedding the nanoparticle chain in an optical-gain medium is considered. It is found that short-wavelength surface polaritons can acquire exponential growth that can counter nonradiative loss. This is most pronounced for modes polarized transverse to the chain axis immediately outside the light line; this growth factor is likely to be sufficient to counterbalance losses and so lead to low-attenuation propagation of plasmon polaritons in nanoparticle chains.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Quinten, A. Leitner, J. R. Kren, and F. R. Aussenegg, Opt. Lett. 23, 1331 (1998).
    [CrossRef]
  2. S. A. Maier, P. G. Kik, and H. A. Atwater, Appl. Phys. Lett. 81, 1714 (2002).
    [CrossRef]
  3. S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
    [CrossRef]
  4. C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
    [CrossRef] [PubMed]
  5. T. Klar, M. Perner, S. Grosse, G. von Plessen, W. Spirkl, and J. Feldmann, Phys. Rev. Lett. 80, 4249 (1998).
    [CrossRef]
  6. T. V. Shahbazyan, I. E. Perakis, and J.-Y. Bigot, Phys. Rev. Lett. 81, 3120 (1998).
    [CrossRef]
  7. T. V. Shahbazyan and I. E. Perakis, Phys. Rev. B 60, 9090 (1999).
    [CrossRef]
  8. D. S. Citrin, Nano Lett. 4, 1561 (2004).
    [CrossRef]
  9. D. S. Citrin, Nano Lett. 5, 985 (2005).
    [CrossRef] [PubMed]
  10. R. A. Shore and A. D. Yaghjian, Electron. Lett. 41, 13 (2005).
    [CrossRef]
  11. V. A. Markel, J. Mod. Opt. 40, 2281 (1993).
    [CrossRef]
  12. L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).
  13. K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. 107, 668 (2003).
  14. D. S. Citrin, Opt. Lett. 20, 901 (1995).
    [CrossRef] [PubMed]
  15. D. S. Citrin, Phys. Rev. B 48, 2535 (1993).
    [CrossRef]
  16. D. S. Citrin, Phys. Rev. Lett. 69, 3393 (1992).
    [CrossRef] [PubMed]
  17. V. M. Agranovich and O. A. Dubovskii, Zh. Eksp. Teor. Fiz. Pis'ma Red. 3, 345 (1966) V. M. Agranovich and O. A. Dubovskii,[JETP Lett. 3, 223 (1966)].
  18. F. Tassone and F. Bassani, Nuovo Cimento D 14D, 1241 (1992).
    [CrossRef]
  19. S. Jorda, Solid State Commun. 87, 439 (1993).
    [CrossRef]

2005

D. S. Citrin, Nano Lett. 5, 985 (2005).
[CrossRef] [PubMed]

R. A. Shore and A. D. Yaghjian, Electron. Lett. 41, 13 (2005).
[CrossRef]

2004

D. S. Citrin, Nano Lett. 4, 1561 (2004).
[CrossRef]

2003

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

2002

S. A. Maier, P. G. Kik, and H. A. Atwater, Appl. Phys. Lett. 81, 1714 (2002).
[CrossRef]

S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
[CrossRef]

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

1999

T. V. Shahbazyan and I. E. Perakis, Phys. Rev. B 60, 9090 (1999).
[CrossRef]

1998

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

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

T. V. Shahbazyan, I. E. Perakis, and J.-Y. Bigot, Phys. Rev. Lett. 81, 3120 (1998).
[CrossRef]

1995

1993

D. S. Citrin, Phys. Rev. B 48, 2535 (1993).
[CrossRef]

S. Jorda, Solid State Commun. 87, 439 (1993).
[CrossRef]

V. A. Markel, J. Mod. Opt. 40, 2281 (1993).
[CrossRef]

1992

F. Tassone and F. Bassani, Nuovo Cimento D 14D, 1241 (1992).
[CrossRef]

D. S. Citrin, Phys. Rev. Lett. 69, 3393 (1992).
[CrossRef] [PubMed]

1966

V. M. Agranovich and O. A. Dubovskii, Zh. Eksp. Teor. Fiz. Pis'ma Red. 3, 345 (1966) V. M. Agranovich and O. A. Dubovskii,[JETP Lett. 3, 223 (1966)].

Agranovich, V. M.

V. M. Agranovich and O. A. Dubovskii, Zh. Eksp. Teor. Fiz. Pis'ma Red. 3, 345 (1966) V. M. Agranovich and O. A. Dubovskii,[JETP Lett. 3, 223 (1966)].

Atwater, H. A.

S. A. Maier, P. G. Kik, and H. A. Atwater, Appl. Phys. Lett. 81, 1714 (2002).
[CrossRef]

S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
[CrossRef]

Aussenegg, F. R.

Bassani, F.

F. Tassone and F. Bassani, Nuovo Cimento D 14D, 1241 (1992).
[CrossRef]

Bigot, J.-Y.

T. V. Shahbazyan, I. E. Perakis, and J.-Y. Bigot, Phys. Rev. Lett. 81, 3120 (1998).
[CrossRef]

Brongersma, M. L.

S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
[CrossRef]

Citrin, D. S.

D. S. Citrin, Nano Lett. 5, 985 (2005).
[CrossRef] [PubMed]

D. S. Citrin, Nano Lett. 4, 1561 (2004).
[CrossRef]

D. S. Citrin, Opt. Lett. 20, 901 (1995).
[CrossRef] [PubMed]

D. S. Citrin, Phys. Rev. B 48, 2535 (1993).
[CrossRef]

D. S. Citrin, Phys. Rev. Lett. 69, 3393 (1992).
[CrossRef] [PubMed]

Coldren, L. A.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

Coronado, E.

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

Corzine, S. W.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

Dubovskii, O. A.

V. M. Agranovich and O. A. Dubovskii, Zh. Eksp. Teor. Fiz. Pis'ma Red. 3, 345 (1966) V. M. Agranovich and O. A. Dubovskii,[JETP Lett. 3, 223 (1966)].

Feldmann, J.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

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

Franzl, T.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

Grosse, S.

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

Jorda, S.

S. Jorda, Solid State Commun. 87, 439 (1993).
[CrossRef]

Kelly, K. L.

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

Kik, P. G.

S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
[CrossRef]

S. A. Maier, P. G. Kik, and H. A. Atwater, Appl. Phys. Lett. 81, 1714 (2002).
[CrossRef]

Klar, T.

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

Kren, J. R.

Leitner, A.

Maier, S. A.

S. A. Maier, P. G. Kik, and H. A. Atwater, Appl. Phys. Lett. 81, 1714 (2002).
[CrossRef]

S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
[CrossRef]

Markel, V. A.

V. A. Markel, J. Mod. Opt. 40, 2281 (1993).
[CrossRef]

Mulvaney, P.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

Perakis, I. E.

T. V. Shahbazyan and I. E. Perakis, Phys. Rev. B 60, 9090 (1999).
[CrossRef]

T. V. Shahbazyan, I. E. Perakis, and J.-Y. Bigot, Phys. Rev. Lett. 81, 3120 (1998).
[CrossRef]

Perner, M.

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

Quinten, M.

Schatz, G. C.

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

Shahbazyan, T. V.

T. V. Shahbazyan and I. E. Perakis, Phys. Rev. B 60, 9090 (1999).
[CrossRef]

T. V. Shahbazyan, I. E. Perakis, and J.-Y. Bigot, Phys. Rev. Lett. 81, 3120 (1998).
[CrossRef]

Shore, R. A.

R. A. Shore and A. D. Yaghjian, Electron. Lett. 41, 13 (2005).
[CrossRef]

Sönnichsen, C.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

Spirkl, W.

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

Tassone, F.

F. Tassone and F. Bassani, Nuovo Cimento D 14D, 1241 (1992).
[CrossRef]

von Plessen, G.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

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

Wilk, T.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

Wilson, O.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

Yaghjian, A. D.

R. A. Shore and A. D. Yaghjian, Electron. Lett. 41, 13 (2005).
[CrossRef]

Zhao, L. L.

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

Appl. Phys. Lett.

S. A. Maier, P. G. Kik, and H. A. Atwater, Appl. Phys. Lett. 81, 1714 (2002).
[CrossRef]

Electron. Lett.

R. A. Shore and A. D. Yaghjian, Electron. Lett. 41, 13 (2005).
[CrossRef]

J. Mod. Opt.

V. A. Markel, J. Mod. Opt. 40, 2281 (1993).
[CrossRef]

J. Phys. Chem.

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

Nano Lett.

D. S. Citrin, Nano Lett. 4, 1561 (2004).
[CrossRef]

D. S. Citrin, Nano Lett. 5, 985 (2005).
[CrossRef] [PubMed]

Nuovo Cimento D

F. Tassone and F. Bassani, Nuovo Cimento D 14D, 1241 (1992).
[CrossRef]

Opt. Lett.

Phys. Rev. B

T. V. Shahbazyan and I. E. Perakis, Phys. Rev. B 60, 9090 (1999).
[CrossRef]

S. A. Maier, M. L. Brongersma, P. G. Kik, and H. A. Atwater, Phys. Rev. B 65, 193408 (2002).
[CrossRef]

D. S. Citrin, Phys. Rev. B 48, 2535 (1993).
[CrossRef]

Phys. Rev. Lett.

D. S. Citrin, Phys. Rev. Lett. 69, 3393 (1992).
[CrossRef] [PubMed]

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef] [PubMed]

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

T. V. Shahbazyan, I. E. Perakis, and J.-Y. Bigot, Phys. Rev. Lett. 81, 3120 (1998).
[CrossRef]

Solid State Commun.

S. Jorda, Solid State Commun. 87, 439 (1993).
[CrossRef]

Zh. Eksp. Teor. Fiz. Pis'ma Red.

V. M. Agranovich and O. A. Dubovskii, Zh. Eksp. Teor. Fiz. Pis'ma Red. 3, 345 (1966) V. M. Agranovich and O. A. Dubovskii,[JETP Lett. 3, 223 (1966)].

Other

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

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 (1)

Fig. 1
Fig. 1

Radiative decay (or growth) rate (left column) and PP dispersion (right column) for Au δ = 50 nm NPC with d = 75 nm embedded in a semiconductor. (a) Im Σ T ( L ) ( q , k p ) for n = 3.5 , (c) n = 3.5 + 0.05 i , and (e) n = 3.5 0.05 i . (b) Re Σ T ( L ) ( q , k p ) for n = 3.5 , (d) n = 3.5 + 0.05 i , and (f) n = 3.5 0.05 i . The solid (dashed) curves are for the T ( L ) polarization. The inset of (e) shows a detail of where gain leads to substantial temporal growth of the modes.

Equations (7)

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

E ρ ( ρ , ϕ ) = 2 ω 3 p n 4 π ϵ 0 c 3 cos ϕ ( 1 k 3 ρ 3 i k 2 ρ 2 ) e i k ρ ,
E ϕ ( ρ , ϕ ) = ω 2 p n 4 π ϵ 0 c 3 sin ϕ ( 1 k 3 ρ 3 i k 2 ρ 2 + 1 k ρ ) e i k ρ ,
β 1 ( q , k ) = j = [ 1 ( k d ) 3 j 3 i ( k d ) 2 j 2 ] e i q d j e i k d j = 1 ( k d ) 3 { Li 3 [ e i ( k q ) d ] + Li 3 [ e i ( k + q ) d ] } i ( k d ) 2 { Li 2 [ e i ( k q ) d ] + Li 2 [ e i ( k + q ) d ] } ,
β 3 ( q , k ) = j = 1 k d j e i q d j e i k d j = 1 k d log [ 2 e i k d ( cos k d cos q d ) ] ,
Σ T ( q , ϵ ) = ω 3 p 2 n 4 π ϵ 0 c 3 [ β 1 ( q , k ) + β 2 ( q , k ) ] ,
Σ L ( q , ϵ ) = 2 ω 3 p 2 n 4 π ϵ 0 c 3 β 1 ( q , k ) .
Σ 0 = ω 3 n 4 π ϵ 0 c 3 d 3 r 1 d 3 r 2 P ( r 1 ) 1 3 { 2 [ 1 ( k r ) 3 i ( k r ) 2 1 k r ] 2 [ 1 ( k r ) 3 i ( k r ) 2 ] } e i k r P ( r 2 ) ,

Metrics