Abstract

A compact wavelength band-pass filter based on metal-insulator-metal (MIM) nanodisk cavity is proposed and numerically investigated by using Finite-Difference Time-Domain (FDTD) simulations. It is found that the transmission characteristics of the filter can be easily adjusted by changing the geometrical parameters of the radius of the nanodisk and coupling distance between the nanodisk and waveguide. By extending the length of input/output waveguides, the filter shows the resonant mode inhibition function. Basing on this characteristic, a two-port wavelength demultiplexer is designed, which can separate resonant modes inside the nanodisk with high transmission up to 70%. The waveguide filter may become a potential application for the design of devices in highly integrated optical circuits.

© 2014 Optical Society of America

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    [CrossRef]

2013 (2)

F. Moharrami, M. S. Abrishamian, “Plasmonic multi-channel filters with separately tunable pass-bands,” J. Opt. 15(7), 075001 (2013).
[CrossRef]

V. F. Nezhad, S. Abaslou, M. S. Abrishamian, “Plasmonic band-stop filter with asymmetric rectangular ring for WDM networks,” J. Opt. 15(5), 055007 (2013).
[CrossRef]

2012 (3)

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

J. X. Tan, Y. B. Xie, J. W. Dong, H. Z. Wang, “Flat-top transmission band in periodic plasmonic ring resonators,” Plasmonics 7(3), 435–439 (2012).
[CrossRef]

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

2011 (4)

2010 (3)

2009 (2)

2008 (1)

2007 (1)

Z. Han, E. Forsberg, S. He, “Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides,” IEEE Photon. Technol. Lett. 19(2), 91–93 (2007).
[CrossRef]

2006 (1)

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

2005 (5)

2004 (3)

2003 (1)

W. L. Barnes, A. Dereux, T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

1991 (1)

H. A. Haus, W. Huang, “Coupled-mode theory,” Proc. IEEE 79(10), 1505–1518 (1991).
[CrossRef]

1972 (1)

P. B. Johnson, R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[CrossRef]

Abaslou, S.

V. F. Nezhad, S. Abaslou, M. S. Abrishamian, “Plasmonic band-stop filter with asymmetric rectangular ring for WDM networks,” J. Opt. 15(5), 055007 (2013).
[CrossRef]

Abrishamian, M. S.

V. F. Nezhad, S. Abaslou, M. S. Abrishamian, “Plasmonic band-stop filter with asymmetric rectangular ring for WDM networks,” J. Opt. 15(5), 055007 (2013).
[CrossRef]

F. Moharrami, M. S. Abrishamian, “Plasmonic multi-channel filters with separately tunable pass-bands,” J. Opt. 15(7), 075001 (2013).
[CrossRef]

Aussenegg, F. R.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Badenes, G.

Barnes, W. L.

W. L. Barnes, A. Dereux, T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

Bolivar, P. H.

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

Chen, P.

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

Chremmos, I.

Christy, R. W.

P. B. Johnson, R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[CrossRef]

Deng, Q.

Dereux, A.

W. L. Barnes, A. Dereux, T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

Devaux, E.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

Ditlbacher, H.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Dong, J. W.

J. X. Tan, Y. B. Xie, J. W. Dong, H. Z. Wang, “Flat-top transmission band in periodic plasmonic ring resonators,” Plasmonics 7(3), 435–439 (2012).
[CrossRef]

Du, C.

Duan, L.

Ebbesen, T. W.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

Enoch, S.

Ford, G. W.

W. H. Weber, G. W. Ford, “Propagation of optical excitations by dipolar interactions in metal nanoparticle chains,” Phys. Rev. B 70(12), 125429 (2004).
[CrossRef]

Forsberg, E.

Z. Han, E. Forsberg, S. He, “Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides,” IEEE Photon. Technol. Lett. 19(2), 91–93 (2007).
[CrossRef]

Gao, H.

Gong, Y.

Gray, S. K.

Guo, Y.

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

Guo, Z.

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

Han, Z.

Z. Han, E. Forsberg, S. He, “Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides,” IEEE Photon. Technol. Lett. 19(2), 91–93 (2007).
[CrossRef]

Haus, H. A.

H. A. Haus, W. Huang, “Coupled-mode theory,” Proc. IEEE 79(10), 1505–1518 (1991).
[CrossRef]

He, M. D.

He, S.

Z. Han, E. Forsberg, S. He, “Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides,” IEEE Photon. Technol. Lett. 19(2), 91–93 (2007).
[CrossRef]

Hofer, F.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Hohenau, A.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Hu, F.

Huang, Q.

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

Huang, T.

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

Huang, W.

H. A. Haus, W. Huang, “Coupled-mode theory,” Proc. IEEE 79(10), 1505–1518 (1991).
[CrossRef]

Huang, W. Q.

Huang, X.

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

Huang, X. G.

Janke, C.

Jin, X.

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

Johnson, P. B.

P. B. Johnson, R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[CrossRef]

Kreibig, U.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Krenn, J. R.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Kurz, H.

Laluet, J. Y.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

Lee, T. W.

Liang, R.

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

Lin, X.

Liu, J. Q.

Liu, X.

Lu, H.

Luo, B.

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

Luo, X.

Lv, Y.

Mao, D.

Mei, X.

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

Moharrami, F.

F. Moharrami, M. S. Abrishamian, “Plasmonic multi-channel filters with separately tunable pass-bands,” J. Opt. 15(7), 075001 (2013).
[CrossRef]

Nezhad, V. F.

V. F. Nezhad, S. Abaslou, M. S. Abrishamian, “Plasmonic band-stop filter with asymmetric rectangular ring for WDM networks,” J. Opt. 15(5), 055007 (2013).
[CrossRef]

Pan, W.

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

Quidant, R.

Rivas, J. G.

Rogers, M.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Shi, H.

Tan, J. X.

J. X. Tan, Y. B. Xie, J. W. Dong, H. Z. Wang, “Flat-top transmission band in periodic plasmonic ring resonators,” Plasmonics 7(3), 435–439 (2012).
[CrossRef]

Tao, J.

J. Tao, X. G. Huang, J. H. Zhu, “A wavelength demultiplexing structure based on metal-dielectric-metal plasmonic nano-capillary resonators,” Opt. Express 18(11), 11111–11116 (2010).
[CrossRef] [PubMed]

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

Volkov, V. S.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

Wagner, D.

H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, J. R. Krenn, “Silver nanowires as surface plasmon resonators,” Phys. Rev. Lett. 95(25), 257403 (2005).
[CrossRef] [PubMed]

Wang, B.

B. Wang, G. P. Wang, “Plasmon Bragg reflectors and nanocavities on flat metallic surfaces,” Appl. Phys. Lett. 87(1), 013107 (2005).
[CrossRef]

B. Wang, G. P. Wang, “Surface plasmon polariton propagation in nanoscale metal gap waveguides,” Opt. Lett. 29(17), 1992–1994 (2004).
[CrossRef] [PubMed]

Wang, C.

Wang, D.

Wang, G.

Wang, G. P.

B. Wang, G. P. Wang, “Plasmon Bragg reflectors and nanocavities on flat metallic surfaces,” Appl. Phys. Lett. 87(1), 013107 (2005).
[CrossRef]

B. Wang, G. P. Wang, “Surface plasmon polariton propagation in nanoscale metal gap waveguides,” Opt. Lett. 29(17), 1992–1994 (2004).
[CrossRef] [PubMed]

Wang, H. Z.

J. X. Tan, Y. B. Xie, J. W. Dong, H. Z. Wang, “Flat-top transmission band in periodic plasmonic ring resonators,” Plasmonics 7(3), 435–439 (2012).
[CrossRef]

T. B. Wang, X. W. Wen, C. P. Yin, H. Z. Wang, “The transmission characteristics of surface plasmon polaritons in ring resonator,” Opt. Express 17(26), 24096–24101 (2009).
[CrossRef] [PubMed]

Wang, L.

Wang, L. L.

Wang, T. B.

Weber, W. H.

W. H. Weber, G. W. Ford, “Propagation of optical excitations by dipolar interactions in metal nanoparticle chains,” Phys. Rev. B 70(12), 125429 (2004).
[CrossRef]

Wen, K.

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

Wen, S.

Wen, X. W.

Xie, Y. B.

J. X. Tan, Y. B. Xie, J. W. Dong, H. Z. Wang, “Flat-top transmission band in periodic plasmonic ring resonators,” Plasmonics 7(3), 435–439 (2012).
[CrossRef]

Xu, X.

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

Yan, L.

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

Yao, H.

Yi, H.

Yin, C. P.

Yu, Z.

Z. Yu, R. Liang, P. Chen, Q. Huang, T. Huang, X. Xu, “Integrated Tunable Optofluidics Optical Filter Based on MIM Side-Coupled-Cavity Waveguide,” Plasmonics 7(4), 603–607 (2012).
[CrossRef]

Zhou, Z.

Zhu, J.

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

Zhu, J. H.

Zhu, Y.

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

Zou, B. S.

Appl. Phys. Lett. (1)

B. Wang, G. P. Wang, “Plasmon Bragg reflectors and nanocavities on flat metallic surfaces,” Appl. Phys. Lett. 87(1), 013107 (2005).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

Z. Han, E. Forsberg, S. He, “Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides,” IEEE Photon. Technol. Lett. 19(2), 91–93 (2007).
[CrossRef]

J. Opt. (3)

K. Wen, L. Yan, W. Pan, B. Luo, Z. Guo, Y. Guo, “Wavelength demultiplexing structure based on a plasmonic metal–insulator–metal waveguide. Journal of Optics,” J. Opt. 14(7), 075001 (2012).
[CrossRef]

F. Moharrami, M. S. Abrishamian, “Plasmonic multi-channel filters with separately tunable pass-bands,” J. Opt. 15(7), 075001 (2013).
[CrossRef]

V. F. Nezhad, S. Abaslou, M. S. Abrishamian, “Plasmonic band-stop filter with asymmetric rectangular ring for WDM networks,” J. Opt. 15(5), 055007 (2013).
[CrossRef]

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

X. Mei, X. Huang, J. Tao, J. Zhu, Y. Zhu, X. Jin, “A wavelength demultiplexing structure based on plasmonic MDM side-coupled cavities,” J. Opt. Soc. Am. A 27(12), 2707–2713 (2010).
[CrossRef]

I. Chremmos, “Magnetic field integral equation analysis of interaction between a surface plasmon polariton and a circular dielectric cavity embedded in the metal,” J. Opt. Soc. Am. A 26(12), 2623–2633 (2009).
[CrossRef] [PubMed]

Nature (2)

W. L. Barnes, A. Dereux, T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, T. W. Ebbesen, “Channel plasmon subwavelength waveguide components including interferometers and ring resonators,” Nature 440(7083), 508–511 (2006).
[CrossRef] [PubMed]

Opt. Express (9)

S. Enoch, R. Quidant, G. Badenes, “Optical sensing based on plasmon coupling in nanoparticle arrays,” Opt. Express 12(15), 3422–3427 (2004).
[CrossRef] [PubMed]

T. W. Lee, S. K. Gray, “Subwavelength light bending by metal slit structures,” Opt. Express 13(24), 9652–9659 (2005).
[CrossRef] [PubMed]

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Figures (8)

Fig. 1
Fig. 1

(a) The schematic diagram of nanodisk filter (b) The transmission spectrum of the nanodisk filter with r = 410nm, d = 8nm, t = 50nm.

Fig. 2
Fig. 2

(a) Transmission spectra about different radii of the nanodisk cavity with d = 8nm, t = 50nm. (b) Relationship between peak resonance wavelengths and the radius of the cavity.

Fig. 3
Fig. 3

(a) Transmission spectra about different distance between the boundaries of the waveguides and the cavity d with r = 410, t = 50nm. (b) Relationship between the peak resonance wavelengths and the distance of d.

Fig. 4
Fig. 4

The schematic diagram of an asymmetric nanodisk filter with d = 8nm, r = 410nm, and t = 50nm.

Fig. 5
Fig. 5

(a) Transmission spectra of different length of L from 0nm to 50nm. (b) Transmittance contrast image between 0nm and 135nm of length of L.

Fig. 6
Fig. 6

Magnetic fields of the band-pass filter with inhibiting structure for monochromatic light at different wavelengths, (a) λ = 956nm, (b) λ = 1550nm, and all geometric parameters are the same as used in Fig. 5(a).

Fig. 7
Fig. 7

(a) Schematic diagram of a 1 × 2 wavelength demultiplexing structure based on nanodisk cavity. (b) The transmission spectra of a 1 × 2 wavelength demultiplexing structure with d = 8nm, r = 410nm, and t = 50nm.

Fig. 8
Fig. 8

Magnetic fields of the 1 × 2 wavelength demultiplexing schematic diagram for monochromatic light at different wavelengths, (a) λ = 956nm, (b) λ = 1550nm, and all geometric parameters are the same as used in Fig. 5(a).

Equations (4)

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ε m (ω)= ε ω D 2 ω 2 +i γ D ω m=1 2 g Lm ω Lm 2 Δε ω 2 ω Lm 2 +i2 γ Lm ω .
k d H n (1)' ( k m r) H n (1) ( k m r) = k m J n ' ( k d r) J n ( k d r) .
T= ( 1 τ w ) 2 (ω ω 0 ) 2 + ( 1 τ w + 1 τ i ) 2 .
λ m = 4 n eff L (2m1) φ r /π .

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