Abstract

Multiple plasmon-induced transparencies are numerically predicted in an ultracompact plasmonic structure, comprising series of stub resonators side-coupled with a metal-isolator-metal waveguide. Because of the phase-coupled effect, electromagnetically induced transparency (EIT)-like spectral response occurs between two adjacent stub resonators with detuned resonant wavelengths. In this approach, multiple EIT-like spectral responses, with bandwidths of the order of several nanometers, are obtained in the plasmonic structure with a small footprint of about 0.6μm2. An analytic model and the relative phase analysis based on the scattering matrix theory are used to explain this phenomenon.

© 2012 Optical Society of America

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    [CrossRef]
  2. S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
    [CrossRef]
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    [CrossRef]
  4. K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2012 (3)

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

2011 (7)

2010 (2)

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. Brongersma, Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

D. K. Gramotnev and S. I. Bozhevolnyi, Nat. Photon. 4, 83 (2010).
[CrossRef]

2009 (1)

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

2008 (1)

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

2007 (1)

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef]

1991 (1)

K. J. Boller, A. Imamoglu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef]

1990 (1)

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef]

Bai, W. L.

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Barnard, E. S.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. Brongersma, Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Boller, K. J.

K. J. Boller, A. Imamoglu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef]

Bozhevolnyi, S. I.

Z. Han and S. I. Bozhevolnyi, Opt. Express 19, 3251 (2011).
[CrossRef]

D. K. Gramotnev and S. I. Bozhevolnyi, Nat. Photon. 4, 83 (2010).
[CrossRef]

Brongersma, M.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. Brongersma, Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Cai, L. K.

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Cai, W.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. Brongersma, Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Chen, J. J.

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, and Q. H. Gong, Nano Lett. 11, 2933 (2011).
[CrossRef]

J. J. Chen, Z. Li, J. Li, and Q. H. Gong, Opt. Express 19, 9976 (2011).
[CrossRef]

Darmawan, S.

Duelk, M.

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

Field, J. E.

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef]

Fleischhauer, M.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Fu, X. L.

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

Gan, Q. Q.

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Genov, D. A.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Giessen, H.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Gong, Q. H.

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, and Q. H. Gong, Nano Lett. 11, 2933 (2011).
[CrossRef]

J. J. Chen, Z. Li, J. Li, and Q. H. Gong, Opt. Express 19, 9976 (2011).
[CrossRef]

Gong, Y. K.

Gramotnev, D. K.

D. K. Gramotnev and S. I. Bozhevolnyi, Nat. Photon. 4, 83 (2010).
[CrossRef]

Hamamoto, K.

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

Han, Z.

Harris, S. E.

K. J. Boller, A. Imamoglu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef]

Haus, H. A.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice–Hall, 1984).

He, S. L.

Y. R. He, H. Zhou, Y. Jin, and S. L. He, Appl. Phys. Lett. 99, 043113 (2011).
[CrossRef]

He, Y. R.

Y. R. He, H. Zhou, Y. Jin, and S. L. He, Appl. Phys. Lett. 99, 043113 (2011).
[CrossRef]

Imamoglu, A.

K. J. Boller, A. Imamoglu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef]

Jin, Y.

Y. R. He, H. Zhou, Y. Jin, and S. L. He, Appl. Phys. Lett. 99, 043113 (2011).
[CrossRef]

Kastel, J.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Kekatpure, R. D.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. Brongersma, Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Kobayashi, N.

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef]

Langguth, L.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Lei, M.

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

Li, J.

Li, Z.

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

J. J. Chen, Z. Li, J. Li, and Q. H. Gong, Opt. Express 19, 9976 (2011).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, and Q. H. Gong, Nano Lett. 11, 2933 (2011).
[CrossRef]

Liu, M.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Liu, N.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Liu, X. M.

Lu, H.

Mao, D.

Mei, T.

Mukai, K.

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

Navaretti, P.

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

Pfau, T.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Song, G. F.

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Tobing, L. Y. M.

Tomita, M.

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef]

Totsuka, K.

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef]

Velez, C.

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

Wang, G. X.

Wang, Y.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Weiss, T.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Xiao, J. H.

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

Xu, Y.

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Yue, S.

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, and Q. H. Gong, Nano Lett. 11, 2933 (2011).
[CrossRef]

Zang, Z.

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

Zhang, D. H.

Zhang, J.

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Zhang, S.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Zhang, X.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Zhang, Y.

Zhou, H.

Y. R. He, H. Zhou, Y. Jin, and S. L. He, Appl. Phys. Lett. 99, 043113 (2011).
[CrossRef]

Appl. Phys. Lett. (3)

Z. Zang, K. Mukai, P. Navaretti, M. Duelk, C. Velez, and K. Hamamoto, Appl. Phys. Lett. 100, 031108 (2012).
[CrossRef]

J. Zhang, W. L. Bai, L. K. Cai, Y. Xu, G. F. Song, and Q. Q. Gan, Appl. Phys. Lett. 99, 181120 (2011).
[CrossRef]

Y. R. He, H. Zhou, Y. Jin, and S. L. He, Appl. Phys. Lett. 99, 043113 (2011).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nano Lett. (2)

J. J. Chen, Z. Li, S. Yue, J. H. Xiao, and Q. H. Gong, Nano Lett. 12, 2494 (2012).
[CrossRef]

J. J. Chen, Z. Li, S. Yue, and Q. H. Gong, Nano Lett. 11, 2933 (2011).
[CrossRef]

Nat. Mater. (1)

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, Nat. Mater. 8, 758 (2009).
[CrossRef]

Nat. Photon. (1)

D. K. Gramotnev and S. I. Bozhevolnyi, Nat. Photon. 4, 83 (2010).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. Lett. (5)

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef]

K. J. Boller, A. Imamoglu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. Brongersma, Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Plasmonics (1)

J. J. Chen, Z. Li, M. Lei, X. L. Fu, J. H. Xiao, and Q. H. Gong, Plasmonics 7, 441 (2012).
[CrossRef]

Other (1)

H. A. Haus, Waves and Fields in Optoelectronics (Prentice–Hall, 1984).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Transmission spectrum of the two-resonator-coupled system. Inset shows the schematic of the two-resonator-coupled system and the geometrical parameters. Field distributions (|Hz|) of the SPPs in the two-resonator-coupled system at (b) λ=970nm, (c) λ=1001nm, and (d) λ=1030nm.

Fig. 2.
Fig. 2.

(a) Transmission spectrum of the three-resonator-coupled system. Inset shows the schematic of the three-resonator-coupled system and the geometrical parameters. Field distributions (|Hz|) of SPPs in the system at (b) λ=999nm, and (c) λ=1062nm.

Fig. 3.
Fig. 3.

(a) Transmission spectrum of the four-resonator-coupled system. Inset shows the schematic of the four-resonator-coupled system and the geometrical parameters. Field distributions (|Hz|) of SPPs in the system at (b) λ=926nm, (c) λ=1001nm, and (d) λ=1062nm.

Fig. 4.
Fig. 4.

Analytic model results of the transmission spectra for (a) two stubs, (b) three stubs, and (c) four stubs systems.

Equations (4)

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

[AObAIb]=TSm[AIaAOa]=[1iδωω0iδωω0iδωω01+iδωω0][AIaAOa],
Tpmn=[exp(iφ)00exp(iφ)],
Tall=Ts1×Tp12×Ts2×Tp23×Ts3×.
φmn(λ)=4πneffLmn/λ+θm+θn.

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