Abstract

We demonstrate the existence of a bound optical mode supported by a slot in a thin metallic film deposited on a substrate, with slot dimensions much smaller than the wavelength. The modal size is almost completely dominated by the near field of the slot. Consequently, the size is very small compared with the wavelength, even when the dispersion relation of the mode approaches the light line of the surrounding media. In addition, the group velocity of this mode is close to the speed of light in the substrate, and its propagation length is tens of micrometers at the optical communication wavelength.

© 2005 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2005

F. Kusunoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

2004

2003

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

L. Vivien, S. Laval, E. Cassan, X. Le Roux, and D. Pascal, J. Lightwave Technol. 21, 2429 (2003).
[CrossRef]

J. A. Pereda, A. Vegas, and A. Prieto, Microwave Opt. Technol. Lett. 38, 331 (2003).
[CrossRef]

K. Tanaka and M. Tanaka, Appl. Phys. Lett. 82, 1158 (2003).
[CrossRef]

2002

I. V. Novikov and A. A. Maradudin, Phys. Rev. B 66, 035403 (2002).
[CrossRef]

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

2000

P. Berini, Phys. Rev. B 61, 10484 (2000).
[CrossRef]

M. L. Brongersma, J. W. Hartman, and H. A. Atwater, Phys. Rev. B 62, R16356 (2000).
[CrossRef]

1999

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

1997

1986

J. J. Burke, G. I. Stegeman, and T. Tamir, Phys. Rev. B 33, 5186 (1986).
[CrossRef]

1969

E. A. Mariani, C. P. Heinzman, J. P. Agrios, and S. B. Cohn, IEEE Trans. Microwave Theory Tech. 17, 1091 (1969).
[CrossRef]

Agrios, J. P.

E. A. Mariani, C. P. Heinzman, J. P. Agrios, and S. B. Cohn, IEEE Trans. Microwave Theory Tech. 17, 1091 (1969).
[CrossRef]

Al-Bader, S. J.

S. J. Al-Bader, IEEE J. Quantum Electron. 40, 325 (2004).
[CrossRef]

Almeida, V. R.

Atwater, H. A.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

M. L. Brongersma, J. W. Hartman, and H. A. Atwater, Phys. Rev. B 62, R16356 (2000).
[CrossRef]

Aussenegg, F. R.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Barrios, C. A.

Berini, P.

P. Berini, Phys. Rev. B 61, 10484 (2000).
[CrossRef]

Brongersma, M. L.

Burke, J. J.

J. J. Burke, G. I. Stegeman, and T. Tamir, Phys. Rev. B 33, 5186 (1986).
[CrossRef]

Cassan, E.

Catrysse, P. B.

Chuang, S. L.

S. L. Chuang, Physics of Optoelectronic Devices (Wiley, 1995).

Cohn, S. B.

E. A. Mariani, C. P. Heinzman, J. P. Agrios, and S. B. Cohn, IEEE Trans. Microwave Theory Tech. 17, 1091 (1969).
[CrossRef]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

Ditlbacher, H.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Girard, C.

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

Goudonnet, J. P.

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

Gramotnev, D. K.

Harel, E.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Hartman, J. W.

M. L. Brongersma, J. W. Hartman, and H. A. Atwater, Phys. Rev. B 62, R16356 (2000).
[CrossRef]

Heinzman, C. P.

E. A. Mariani, C. P. Heinzman, J. P. Agrios, and S. B. Cohn, IEEE Trans. Microwave Theory Tech. 17, 1091 (1969).
[CrossRef]

Jin, J.

J. Jin, The Finite Element Method in Electromagnetics (Wiley, 2002).

Kik, P. G.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Kobayashi, T.

F. Kusunoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

J. Takahara, S. Yamagishi, H. Taki, A. Morimoto, and T. Kobayashi, Opt. Lett. 22, 475 (1997).
[CrossRef] [PubMed]

Koel, B. E.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Krenn, J. R.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

Kusunoki, F.

F. Kusunoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

Lamprecht, B.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

Laval, S.

Le Roux, X.

Leitner, A.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

Lipson, M.

Maier, S. A.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Maradudin, A. A.

I. V. Novikov and A. A. Maradudin, Phys. Rev. B 66, 035403 (2002).
[CrossRef]

Mariani, E. A.

E. A. Mariani, C. P. Heinzman, J. P. Agrios, and S. B. Cohn, IEEE Trans. Microwave Theory Tech. 17, 1091 (1969).
[CrossRef]

Meltzer, S.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Morimoto, A.

Novikov, I. V.

I. V. Novikov and A. A. Maradudin, Phys. Rev. B 66, 035403 (2002).
[CrossRef]

Pascal, D.

Pereda, J. A.

J. A. Pereda, A. Vegas, and A. Prieto, Microwave Opt. Technol. Lett. 38, 331 (2003).
[CrossRef]

Pile, D. F. P.

Pozar, D. M.

D. M. Pozar, Microwave Engineering (Wiley, 1998).

Prieto, A.

J. A. Pereda, A. Vegas, and A. Prieto, Microwave Opt. Technol. Lett. 38, 331 (2003).
[CrossRef]

Requicha, A. A. G.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Salerno, M.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

Schider, G.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

Selker, M. D.

Stegeman, G. I.

J. J. Burke, G. I. Stegeman, and T. Tamir, Phys. Rev. B 33, 5186 (1986).
[CrossRef]

Takahara, J.

F. Kusunoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

J. Takahara, S. Yamagishi, H. Taki, A. Morimoto, and T. Kobayashi, Opt. Lett. 22, 475 (1997).
[CrossRef] [PubMed]

Taki, H.

Tamir, T.

J. J. Burke, G. I. Stegeman, and T. Tamir, Phys. Rev. B 33, 5186 (1986).
[CrossRef]

Tanaka, K.

K. Tanaka and M. Tanaka, Appl. Phys. Lett. 82, 1158 (2003).
[CrossRef]

Tanaka, M.

K. Tanaka and M. Tanaka, Appl. Phys. Lett. 82, 1158 (2003).
[CrossRef]

Vegas, A.

J. A. Pereda, A. Vegas, and A. Prieto, Microwave Opt. Technol. Lett. 38, 331 (2003).
[CrossRef]

Vivien, L.

Weeber, J. C.

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

Xu, Q.

Yamagishi, S.

Yotsuya, T.

F. Kusunoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

Zia, R.

Appl. Phys. Lett.

F. Kusunoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

K. Tanaka and M. Tanaka, Appl. Phys. Lett. 82, 1158 (2003).
[CrossRef]

Europhys. Lett.

J. R. Krenn, B. Lamprecht, H. Ditlbacher, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, Europhys. Lett. 60, 663 (2002).
[CrossRef]

IEEE J. Quantum Electron.

S. J. Al-Bader, IEEE J. Quantum Electron. 40, 325 (2004).
[CrossRef]

IEEE Trans. Microwave Theory Tech.

E. A. Mariani, C. P. Heinzman, J. P. Agrios, and S. B. Cohn, IEEE Trans. Microwave Theory Tech. 17, 1091 (1969).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am. A

Microwave Opt. Technol. Lett.

J. A. Pereda, A. Vegas, and A. Prieto, Microwave Opt. Technol. Lett. 38, 331 (2003).
[CrossRef]

Nat. Mater.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. G. Requicha, Nat. Mater. 2, 229 (2003).
[CrossRef] [PubMed]

Nature

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Opt. Lett.

Phys. Rev. B

J. J. Burke, G. I. Stegeman, and T. Tamir, Phys. Rev. B 33, 5186 (1986).
[CrossRef]

J. C. Weeber, A. Dereux, C. Girard, J. R. Krenn, and J. P. Goudonnet, Phys. Rev. B 60, 9061 (1999).
[CrossRef]

P. Berini, Phys. Rev. B 61, 10484 (2000).
[CrossRef]

M. L. Brongersma, J. W. Hartman, and H. A. Atwater, Phys. Rev. B 62, R16356 (2000).
[CrossRef]

I. V. Novikov and A. A. Maradudin, Phys. Rev. B 66, 035403 (2002).
[CrossRef]

Other

J. Jin, The Finite Element Method in Electromagnetics (Wiley, 2002).

E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1985).

D. M. Pozar, Microwave Engineering (Wiley, 1998).

S. L. Chuang, Physics of Optoelectronic Devices (Wiley, 1995).

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Figures (3)

Fig. 1
Fig. 1

(a) Dispersion relation of the fundamental mode of the plasmonic slotline (solid curve) for w , t = 50 nm (see inset) and of a PEC slotline (dashed curve). The upper, middle, and lower thin dotted curves are the light lines of air and silica and the lowest frequency mode of the silver film, respectively. (b) Propagation length of the fundamental mode of the plasmonic slotline as a function of wavelength for w , t = 50 nm .

Fig. 2
Fig. 2

(a) Power density profile at λ 0 = 1.55 μ m , and (b) Modal size as a function of frequency of the fundamental mode of the plasmonic slotline for w , t = 50 nm .

Fig. 3
Fig. 3

(a) Power density profile at λ 0 = 1.55 μ m of the fundamental mode of the plasmonic slotline at x = 0 [Fig. 1(a)] for w , t = 25 , 50, and 100 nm (dashed–dotted, dashed, and solid curves, respectively). (b) Power density profile at x = 0 in the vicinity of the slot for w , t = 25 , 50 , 100 nm . Note that the horizontal axis is normalized with respect to w.

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