Abstract

A novel subwavelength surface plasmon polaritons optical filter based on an incompletely directional coupler is proposed and numerically simulated by using the finite difference time domain method with perfectly matched layer absorbing boundary condition. An analytical solution for the resonant condition of the structure is derived by means of the cavity theory. Both analytical and simulative results reveal that the resonant wavelengths are proportional to the length of the slit segment, inversely proportional to the antinode number of a standing wave in the segment, and are related to the slit width and the gap between the two slits. The analytical solution being consistent with the numerical simulation verifies the feasibility of the concept of the new filter structure.

© 2009 OSA

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2008

2007

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

W. Lin and G. Wang, “Metal heterowaveguide superlattices for a plasmonic analog to electronic Bloch oscillations,” Appl. Phys. Lett. 91(14), 143121 (2007).
[CrossRef]

2006

2005

2004

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyia, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85(24), 5833 (2004).
[CrossRef]

Atwater, H. A.

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, “Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization,” Phys. Rev. B 73(3), 035407 (2006).
[CrossRef]

Boltasseva, A.

Bozhevolnyi, S. I.

Bozhevolnyia, S. I.

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyia, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85(24), 5833 (2004).
[CrossRef]

Deng, Q.

Dionne, J. A.

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, “Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization,” Phys. Rev. B 73(3), 035407 (2006).
[CrossRef]

Du, C.

Fan, S.

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87(13), 131102 (2005).
[CrossRef]

Forsberg, E.

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

Gao, H.

Gray, S.

Guang, X.

H. Zhao, X. Guang, and J. Huang, “Novel optical directional coupler based on surface plasmon polaritons,” Physica E 40(10), 3025–3029 (2008).
[CrossRef]

Han, Z.

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

L. Liu, Z. Han, and S. He, “Novel surface plasmon waveguide for high integration,” Opt. Express 13(17), 6645–6650 (2005).
[CrossRef] [PubMed]

He, M. D.

He, S.

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

L. Liu, Z. Han, and S. He, “Novel surface plasmon waveguide for high integration,” Opt. Express 13(17), 6645–6650 (2005).
[CrossRef] [PubMed]

Hosseini, A.

Hossieni, A.

Huang, J.

H. Zhao, X. Guang, and J. Huang, “Novel optical directional coupler based on surface plasmon polaritons,” Physica E 40(10), 3025–3029 (2008).
[CrossRef]

Huang, W. Q.

Huang, X. G.

Kim, H.

Lee, B.

Lee, T.

Leosson, K.

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for Long-Range surface plasmon polaritons,” J. Lightwave Technol. 24(2), 912–918 (2006).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyia, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85(24), 5833 (2004).
[CrossRef]

Lin, W.

W. Lin and G. Wang, “Metal heterowaveguide superlattices for a plasmonic analog to electronic Bloch oscillations,” Appl. Phys. Lett. 91(14), 143121 (2007).
[CrossRef]

Lin, X.

Lin, X. S.

Liu, J. Q.

Liu, L.

Luo, X.

Lv, Y.

Massoud, Y.

Nejati, H.

Nikolajsen, T.

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for Long-Range surface plasmon polaritons,” J. Lightwave Technol. 24(2), 912–918 (2006).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyia, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85(24), 5833 (2004).
[CrossRef]

Park, J.

Shi, H.

Sweatlock, L. A.

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, “Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization,” Phys. Rev. B 73(3), 035407 (2006).
[CrossRef]

Veronis, G.

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87(13), 131102 (2005).
[CrossRef]

Wang, B.

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

Wang, C.

Wang, D. Y.

Wang, G.

W. Lin and G. Wang, “Metal heterowaveguide superlattices for a plasmonic analog to electronic Bloch oscillations,” Appl. Phys. Lett. 91(14), 143121 (2007).
[CrossRef]

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

Wang, L. L.

Wen, S. C.

Yao, H.

Zhao, H.

H. Zhao, X. Guang, and J. Huang, “Novel optical directional coupler based on surface plasmon polaritons,” Physica E 40(10), 3025–3029 (2008).
[CrossRef]

Zou, B. S.

Appl. Phys. Lett.

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87(13), 131102 (2005).
[CrossRef]

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

W. Lin and G. Wang, “Metal heterowaveguide superlattices for a plasmonic analog to electronic Bloch oscillations,” Appl. Phys. Lett. 91(14), 143121 (2007).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyia, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85(24), 5833 (2004).
[CrossRef]

IEEE Photon. Technol. Lett.

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

J. Lightwave Technol.

Opt. Express

Opt. Lett.

Phys. Rev. B

J. A. Dionne, L. A. Sweatlock, and H. A. Atwater, “Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization,” Phys. Rev. B 73(3), 035407 (2006).
[CrossRef]

Physica E

H. Zhao, X. Guang, and J. Huang, “Novel optical directional coupler based on surface plasmon polaritons,” Physica E 40(10), 3025–3029 (2008).
[CrossRef]

Other

H. Raether, Surface Plasmon on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin, Germany, 1988).

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Figures (5)

Fig. 1
Fig. 1

The basic two-dimension structure map of the SPPs coupler-type filter.

Fig. 2
Fig. 2

The spectra of the transmission at location B and the reflection at location A of the new structure with the segment length of L = 0.5µm, the gap of 20nm, and the same slit-waveguide width of W = 50nm. The wavelengths of the reflection peaks appear at λ 1 = 1.57µm and λ 2 = 0.78µm

Fig. 3
Fig. 3

(a) The reflection spectra of the optical filter for different gaps, with the same slit waveguide width of 50nm and the segment length of L = 0.5µm. (b) The wavelength shifts of the two resonant peaks of the reflection spectrum with the gap between the two slit waveguides.

Fig. 4
Fig. 4

(a) The wavelengths of the two resonant peaks of the reflection spectrum versus the segment length of L, with the given waveguide width of W = 50nm and the gap of 25nm; (b) The wavelengths of the two resonant peaks of the reflection spectrum as functions of slit-waveguide width W, with other parameters unchanged

Fig. 5
Fig. 5

(a) The dependences of the quality factor on the gap with the other parameters unchanged; (b) The dependences of the quality factor on the the segment width with the other parameters unchanged.

Equations (2)

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Δ ϕ = m 2 π
λ m = 2 n e f f L m ϕ r e f / π

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