Abstract

Fibonacci-sequence gratings based on metal–insulator–metal waveguides are proposed. The spectrum properties of this structure are numerically investigated by using the transfer matrix method. Numerical results demonstrate that the proposed structure can generate high-channel-count plasmonic stop bands and can find significant applications in highly integrated dense wavelength division multiplexing networks.

© 2010 Optical Society of America

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2008

2007

Z. H. Han, E. Forsberg, and S. L. He, IEEE Photon. Technol. Lett. 19, 91 (2007).
[CrossRef]

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

2006

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

A. Hossieni and Y. Massoud, Opt. Express 14, 11318 (2006).
[CrossRef] [PubMed]

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, Phys. Rev. B 73, 035407 (2006).
[CrossRef]

L. Zhou, X. Q. Yu, and Y. Y. Zhu, Appl. Phys. Lett. 89, 051901 (2006).
[CrossRef]

N. Baker, H. W. Lee, I. C. Littler, C. Sterke, B. J. Eggleton, D. Choi, S. Madden, and B. L. Davies, Opt. Express 14, 9451 (2006).
[CrossRef] [PubMed]

2005

2003

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

K. Li, M. I. Stockman, and D. J. Bergman, Phys. Rev. Lett. 91, 227402 (2003).
[CrossRef] [PubMed]

2002

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

1999

X. Yang, Y. Liu, and X. Fu, Phys. Rev. B 59, 4545 (1999).
[CrossRef]

1998

E. Macia, Appl. Phys. Lett. 73, 3330 (1998).
[CrossRef]

1997

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

1994

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72, 633 (1994).
[CrossRef] [PubMed]

1987

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
[CrossRef] [PubMed]

Atwater, H. A.

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, Phys. Rev. B 73, 035407 (2006).
[CrossRef]

Aussenegg, F. R.

Baker, N.

Barclay, P. E.

S. A. Maier, M. D. Friedman, P. E. Barclay, and O. Painter, Appl. Phys. Lett. 86, 071103 (2005).
[CrossRef]

Barnes, W. L.

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

Bergman, D. J.

K. Li, M. I. Stockman, and D. J. Bergman, Phys. Rev. Lett. 91, 227402 (2003).
[CrossRef] [PubMed]

Bolivar, P. H.

Bouhelier, A.

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Chichkov, B.

Choi, D.

Davies, B. L.

Dereux, A.

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

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

Des, F. G.

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

Devaux, E.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Dionne, J. A.

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, Phys. Rev. B 73, 035407 (2006).
[CrossRef]

Ditlbacher, H.

Drezet, A.

Ebbesen, T. W.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

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

Eggleton, B. J.

Erdogan, T.

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Forsberg, E.

Z. H. Han, E. Forsberg, and S. L. He, IEEE Photon. Technol. Lett. 19, 91 (2007).
[CrossRef]

Friedman, M. D.

S. A. Maier, M. D. Friedman, P. E. Barclay, and O. Painter, Appl. Phys. Lett. 86, 071103 (2005).
[CrossRef]

Fu, X.

X. Yang, Y. Liu, and X. Fu, Phys. Rev. B 59, 4545 (1999).
[CrossRef]

Gellermann, W.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72, 633 (1994).
[CrossRef] [PubMed]

Han, Z. H.

Z. H. Han, E. Forsberg, and S. L. He, IEEE Photon. Technol. Lett. 19, 91 (2007).
[CrossRef]

He, S. L.

Z. H. Han, E. Forsberg, and S. L. He, IEEE Photon. Technol. Lett. 19, 91 (2007).
[CrossRef]

Hohenau, A.

Hossieni, A.

Hu, A.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Huang, X. G.

Huang, X. Q.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Iguchi, K.

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
[CrossRef] [PubMed]

Janke, C.

Jian, S. S.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Kiyan, R.

Kohmoto, M.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72, 633 (1994).
[CrossRef] [PubMed]

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
[CrossRef] [PubMed]

Krenn, J. R.

Kurz, H.

Laluet, J. Y.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Lee, H. W.

Leitner, A.

Li, K.

K. Li, M. I. Stockman, and D. J. Bergman, Phys. Rev. Lett. 91, 227402 (2003).
[CrossRef] [PubMed]

Lin, X. S.

Littler, I. C.

Liu, Y.

X. Yang, Y. Liu, and X. Fu, Phys. Rev. B 59, 4545 (1999).
[CrossRef]

Macia, E.

E. Macia, Appl. Phys. Lett. 73, 3330 (1998).
[CrossRef]

Madden, S.

Maier, S. A.

S. A. Maier, M. D. Friedman, P. E. Barclay, and O. Painter, Appl. Phys. Lett. 86, 071103 (2005).
[CrossRef]

Markey, L.

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

Massoud, Y.

Mazzer, M.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Ohrt, C.

Painter, O.

S. A. Maier, M. D. Friedman, P. E. Barclay, and O. Painter, Appl. Phys. Lett. 86, 071103 (2005).
[CrossRef]

Passinger, S.

Peng, R. W.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Qiu, F.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Rather, H.

H. Rather, Surface Plasmons (Springer-Verlag, 1988).

Reinhardt, C.

Rivas, J. G.

Seidel, A.

Steinberger, B.

Stepanov, A.

Stepanov, L. A.

Sterke, C.

Stockman, M. I.

K. Li, M. I. Stockman, and D. J. Bergman, Phys. Rev. Lett. 91, 227402 (2003).
[CrossRef] [PubMed]

Sugiyama, T.

Sutherland, B.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72, 633 (1994).
[CrossRef] [PubMed]

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
[CrossRef] [PubMed]

Sweatlock, L. A.

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, Phys. Rev. B 73, 035407 (2006).
[CrossRef]

Tanaka, K.

Tanaka, M.

Taylor, P. C.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72, 633 (1994).
[CrossRef] [PubMed]

Volkov, V. S.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Wang, B.

B. Wang and G. P. Wang, Appl. Phys. Lett. 87, 013107 (2005).
[CrossRef]

Wang, G. P.

B. Wang and G. P. Wang, Appl. Phys. Lett. 87, 013107 (2005).
[CrossRef]

Wang, M.

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

Weeber, J. C.

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

Yang, X.

X. Yang, Y. Liu, and X. Fu, Phys. Rev. B 59, 4545 (1999).
[CrossRef]

Yu, X. Q.

L. Zhou, X. Q. Yu, and Y. Y. Zhu, Appl. Phys. Lett. 89, 051901 (2006).
[CrossRef]

Zhou, L.

L. Zhou, X. Q. Yu, and Y. Y. Zhu, Appl. Phys. Lett. 89, 051901 (2006).
[CrossRef]

Zhu, Y. Y.

L. Zhou, X. Q. Yu, and Y. Y. Zhu, Appl. Phys. Lett. 89, 051901 (2006).
[CrossRef]

Appl. Phys. Lett.

S. A. Maier, M. D. Friedman, P. E. Barclay, and O. Painter, Appl. Phys. Lett. 86, 071103 (2005).
[CrossRef]

B. Wang and G. P. Wang, Appl. Phys. Lett. 87, 013107 (2005).
[CrossRef]

L. Zhou, X. Q. Yu, and Y. Y. Zhu, Appl. Phys. Lett. 89, 051901 (2006).
[CrossRef]

E. Macia, Appl. Phys. Lett. 73, 3330 (1998).
[CrossRef]

R. W. Peng, M. Mazzer, X. Q. Huang, F. Qiu, M. Wang, A. Hu, and S. S. Jian, Appl. Phys. Lett. 80, 3063 (2002).
[CrossRef]

IEEE Photon. Technol. Lett.

Z. H. Han, E. Forsberg, and S. L. He, IEEE Photon. Technol. Lett. 19, 91 (2007).
[CrossRef]

J. Lightwave Technol.

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Nano Lett.

J. C. Weeber, A. Bouhelier, F. G. Des, L. Markey, and A. Dereux, Nano Lett. 7, 1352 (2007).
[CrossRef] [PubMed]

Nature

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

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. B

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, Phys. Rev. B 73, 035407 (2006).
[CrossRef]

X. Yang, Y. Liu, and X. Fu, Phys. Rev. B 59, 4545 (1999).
[CrossRef]

Phys. Rev. Lett.

K. Li, M. I. Stockman, and D. J. Bergman, Phys. Rev. Lett. 91, 227402 (2003).
[CrossRef] [PubMed]

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
[CrossRef] [PubMed]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72, 633 (1994).
[CrossRef] [PubMed]

Other

H. Rather, Surface Plasmons (Springer-Verlag, 1988).

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Figures (4)

Fig. 1
Fig. 1

Structure of the proposed high- channel-count plasmonic filter. (a) Schematic of the MIM gratings consisting of an insulator core and two semi-infinite metal claddings. (b) The cross section of the insulator core, where A and B are arrayed according to the F 3 ( 10 ) Fibonacci sequence.

Fig. 2
Fig. 2

Design of three-channel plasmonic filter with F 3 ( 10 ) Fibonacci-sequence MIM gratings. (a) Dependence of the optical spectrum on n a for n b = 3.8 , L a = 100   nm , and L b = 140   nm . (b) Dependence of the optical spectrum on n b for n a = 3.2 , L a = 100   nm , and L b = 140   nm . (c) Dependence of the optical spectrum on L a for L b = 140   nm , n a = 3.2 , and n b = 3.8 .

Fig. 3
Fig. 3

Dependence of the optical filtering property on L b .

Fig. 4
Fig. 4

Design of ten-channel plasmonic filter. (a) The real part of effective index for silicon (red solid line) and zinc sulfide (black dashed line). (b) The profile of the optical spectrum.

Equations (10)

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

F 1 ( n ) = S 1 = B ,
F 2 ( n ) = S 2 = B n 1 A ,
F 3 ( n ) = S 3 = ( B n 1 A ) n B , ,
F j ( n ) = S j = S j 1 n S j 2 ,
F 3 ( 10 ) = S 3 = ( B 9 A ) 10 B .
ε m = ε w p 2 / ( w 0 2 + i w 0 γ ) ,
k d ε m   tanh ( k d w / 2 ) + ε d k m = 0 ,
k d , m = β spp 2 ε d , m k 0 2 ,
n eff = β spp / k 0 ,
Δ λ m = λ m 2 / ( 2 ( L a n a + 9 L b n b ) ) .

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