Fano resonance in concentric ring apertures

Jie Shu; Weilu Gao; Qianfan Xu

doi:10.1364/OE.21.011101

Fano resonance in concentric ring apertures

Jie Shu, Weilu Gao, and Qianfan Xu

Optics Express
Vol. 21,
Issue 9,
pp. 11101-11106
(2013)
•https://doi.org/10.1364/OE.21.011101

Get Citation
Copy Citation Text
Jie Shu, Weilu Gao, and Qianfan Xu, "Fano resonance in concentric ring apertures," Opt. Express 21, 11101-11106 (2013)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (2198 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Optics at Surfaces
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Transmission (120.7000)
- Resonance (260.5740)
- Spectroscopy, infrared (300.6340)
- Subwavelength structures, nanostructures (310.6628)

About this Article
History
- Original Manuscript: January 22, 2013
- Revised Manuscript: April 5, 2013
- Manuscript Accepted: April 22, 2013
- Published: April 29, 2013

Accessible

Open Access

Abstract

We demonstrate a polarization-independent mid-infrared Fano resonance with extraordinary transmission when light passes through two concentric metallic ring apertures. A high-Q dark mode is indirectly excitated by coupling with a low-Q bright mode. A coupled optical resonator model is used to analyze the coupling process between the bright and dark modes. We find the Q of the dark mode is 3~6 times higher than that of the bright mode. We show that the dark mode can be selectively disabled without affecting the bright mode.

Full Article | PDF Article

OSA Recommended Articles

High-Q terahertz Fano resonance with extraordinary transmission in concentric ring apertures

Jie Shu, Weilu Gao, Kimberly Reichel, Daniel Nickel, Jason Dominguez, Igal Brener, Daniel M. Mittleman, and Qianfan Xu
Opt. Express 22(4) 3747-3753 (2014)

Narrow dark resonance modes in concentric ring/disk cavities

Yi Zhang, Xianbing Ming, Guifen Liu, Haiming Zhang, and Tianqing Jia
J. Opt. Soc. Am. B 32(9) 1979-1985 (2015)

Controlling Fano resonance of ring/crescent-ring plasmonic nanostructure with Bessel beam

Fajun Xiao, Weiren Zhu, Malin Premaratne, and Jianlin Zhao
Opt. Express 22(2) 2132-2140 (2014)

References

View by:
Article Order
|
Year
|
Author
|
Publication

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. E. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]
Y. Zhang, T. Q. Jia, H. M. Zhang, and Z. Z. Xu, “Fano resonances in disk-ring plasmonic nanostructure: strong interaction between bright dipolar and dark multipolar mode,” Opt. Lett. 37(23), 4919–4921 (2012).
[Crossref] [PubMed]
Z. Dong, M. Xu, S. Lei, H. Liu, T. Li, F. Wang, and S. Zhu, “Negative refraction with magnetic resonance in a metallic a double-ring metamaterial,” Appl. Phys. Lett. 92(6), 064101 (2008).
[Crossref]
V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99(14), 147401 (2007).
[Crossref] [PubMed]
J. Kim, R. Soref, and W. R. Buchwald, “Multi-peak electromagnetically induced transparency (EIT)-like transmission from bull’s-eye-shaped metamaterial,” Opt. Express 18(17), 17997–18002 (2010).
[Crossref] [PubMed]
P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102(5), 053901 (2009).
[Crossref] [PubMed]
S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]
H. R. Park, Y. M. Bahk, K. J. Ahn, Q. H. Park, D. S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano 5(10), 8340–8345 (2011).
[Crossref] [PubMed]
Y.-M. Bahk, J.-W. Choi, J. Kyoung, H.-R. Park, K. J. Ahn, and D.-S. Kim, “Selective enhanced resonances of two asymmetric terahertz nano resonators,” Opt. Express 20(23), 25644–25653 (2012).
[Crossref] [PubMed]
A. Artar, A. A. Yanik, and H. Altug, “Multi-spectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
[Crossref] [PubMed]
C. W. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, “Fano-resonant asymmetric metamaterials for ultrasensitive spectroscopy and identification of molecular monolayers,” Nat. Mater. 11(1), 69–75 (2011).
[Crossref] [PubMed]
F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]
M. Seo, J. Kyoung, H. Park, S. Koo, H. S. Kim, H. Bernien, B.-J. Kim, J. H. Choe, Y. H. Ahn, H.-T. Kim, N. Park, Q. H. Park, K. Ahn, and D.-S. Kim, “Active terahertz nanoantennas based on VO2 phase transition,” Nano Lett. 10(6), 2064–2068 (2010).
[Crossref] [PubMed]
J. Shu, C. Qiu, V. Astley, D. Nickel, D. M. Mittleman, and Q. Xu, “High-contrast terahertz modulator based on extraordinary transmission through a ring aperture,” Opt. Express 19(27), 26666–26671 (2011).
[Crossref] [PubMed]
E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]
S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref] [PubMed]
C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35(9), 1322–1331 (1999).
[Crossref]
P. R. Griffiths and J. A. de Haseth, Fourier Transform Infrared Spectrometry (Wiley, 2007).

2012 (2)

Y. Zhang, T. Q. Jia, H. M. Zhang, and Z. Z. Xu, “Fano resonances in disk-ring plasmonic nanostructure: strong interaction between bright dipolar and dark multipolar mode,” Opt. Lett. 37(23), 4919–4921 (2012).
[Crossref] [PubMed]

Y.-M. Bahk, J.-W. Choi, J. Kyoung, H.-R. Park, K. J. Ahn, and D.-S. Kim, “Selective enhanced resonances of two asymmetric terahertz nano resonators,” Opt. Express 20(23), 25644–25653 (2012).
[Crossref] [PubMed]

2011 (4)

A. Artar, A. A. Yanik, and H. Altug, “Multi-spectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
[Crossref] [PubMed]

C. W. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, “Fano-resonant asymmetric metamaterials for ultrasensitive spectroscopy and identification of molecular monolayers,” Nat. Mater. 11(1), 69–75 (2011).
[Crossref] [PubMed]

J. Shu, C. Qiu, V. Astley, D. Nickel, D. M. Mittleman, and Q. Xu, “High-contrast terahertz modulator based on extraordinary transmission through a ring aperture,” Opt. Express 19(27), 26666–26671 (2011).
[Crossref] [PubMed]

H. R. Park, Y. M. Bahk, K. J. Ahn, Q. H. Park, D. S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano 5(10), 8340–8345 (2011).
[Crossref] [PubMed]

2010 (4)

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. E. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]

M. Seo, J. Kyoung, H. Park, S. Koo, H. S. Kim, H. Bernien, B.-J. Kim, J. H. Choe, Y. H. Ahn, H.-T. Kim, N. Park, Q. H. Park, K. Ahn, and D.-S. Kim, “Active terahertz nanoantennas based on VO2 phase transition,” Nano Lett. 10(6), 2064–2068 (2010).
[Crossref] [PubMed]

J. Kim, R. Soref, and W. R. Buchwald, “Multi-peak electromagnetically induced transparency (EIT)-like transmission from bull’s-eye-shaped metamaterial,” Opt. Express 18(17), 17997–18002 (2010).
[Crossref] [PubMed]

2009 (1)

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102(5), 053901 (2009).
[Crossref] [PubMed]

2008 (2)

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Z. Dong, M. Xu, S. Lei, H. Liu, T. Li, F. Wang, and S. Zhu, “Negative refraction with magnetic resonance in a metallic a double-ring metamaterial,” Appl. Phys. Lett. 92(6), 064101 (2008).
[Crossref]

2007 (1)

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99(14), 147401 (2007).
[Crossref] [PubMed]

2003 (2)

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]

S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref] [PubMed]

1999 (1)

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35(9), 1322–1331 (1999).
[Crossref]

Adato, R.

Ahn, K.

Ahn, K. J.

Ahn, Y. H.

Altug, H.

A. Artar, A. A. Yanik, and H. Altug, “Multi-spectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
[Crossref] [PubMed]

Arju, N.

Artar, A.

A. Artar, A. A. Yanik, and H. Altug, “Multi-spectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
[Crossref] [PubMed]

Astley, V.

Bahk, Y. M.

Bahk, Y.-M.

Bernien, H.

Bravo-Abad, J.

Buchwald, W. R.

Choe, J. H.

Choi, J.-W.

Dong, Z.

Ebbesen, T. W.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]

Economou, E. N.

Fan, S.

S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref] [PubMed]

Fedotov, V. A.

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]

García-Vidal, F. J.

Genov, D. A.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Halas, N. J.

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]

Haus, H. A.

Jia, T. Q.

Joannopoulos, J. D.

S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref] [PubMed]

Khan, M. J.

Khanikaev, A. B.

Kim, B.-J.

Kim, D. S.

Kim, D.-S.

Kim, H. S.

Kim, H.-T.

Kim, J.

Koo, S.

Koschny, T.

Kuipers, L.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]

Kyoung, J.

Lei, S.

Li, T.

Liu, H.

Liu, M.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Maier, S. A.

Manolatou, C.

Martin-Moreno, L.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]

Martín-Moreno, L.

Mittleman, D. M.

Moshchalkov, V. V.

Nickel, D.

Nordlander, P.

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]

Papasimakis, N.

Park, H.

Park, H. R.

Park, H.-R.

Park, N.

Park, Q. H.

Prodan, E.

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]

Prosvirnin, S. L.

Qiu, C.

Radloff, C.

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]

Rose, M.

Seo, M.

Shu, J.

Shvets, G.

Sobhani, H.

Sonnefraud, Y.

Soref, R.

Soukoulis, C. M.

Suh, W.

S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref] [PubMed]

Tassin, P.

Van Dorpe, P.

Vandenbosch, G. A. E.

Verellen, N.

Villeneuve, P. R.

Wang, F.

Wang, Y.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Wu, C. W.

Xu, M.

Xu, Q.

Xu, Z. Z.

Yanik, A. A.

A. Artar, A. A. Yanik, and H. Altug, “Multi-spectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
[Crossref] [PubMed]

Zhang, H. M.

Zhang, L.

Zhang, S.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Zhang, X.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Zhang, Y.

Zheludev, N. I.

Zhu, S.

ACS Nano (2)

Appl. Phys. Lett. (1)

IEEE J. Quantum Electron. (1)

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

S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref] [PubMed]

Nano Lett. (2)

A. Artar, A. A. Yanik, and H. Altug, “Multi-spectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
[Crossref] [PubMed]

Nat. Mater. (1)

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. Lett. (3)

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401–047404 (2008).
[Crossref] [PubMed]

Rev. Mod. Phys. (1)

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010).
[Crossref]

Science (1)

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
[Crossref] [PubMed]

Other (1)

P. R. Griffiths and J. A. de Haseth, Fourier Transform Infrared Spectrometry (Wiley, 2007).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.

Click here to see a list of articles that cite this paper

Fig. 1 (a) Top-view of Ex field amplitude distribution at frequency of 760 cm⁻¹ when the dark mode is excitated in the concentric ring apertures. (b) and (c) show the cross-sectional Ex field distribution of the bright mode (excitated at frequency of 980 cm⁻¹) and the dark mode, respectively, with the cross-section cut along the horizontal dashed line in (a). Black arrows indicate the field direction, and red circles indicate the charge distribution. (d) The simulated power transmission spectrum for the concentric two-ring apertures is shown as the solid red line, which is fitted by a coupled optical oscillator model (dotted black line). The dashed blue and dashed green lines are the transmission spectra of the single ring apertures. (e) The phases of the Ex field in the two apertures (the dashed lines) and their difference (the solid line). (f) Solid lines: energies in the dark mode (the red line) and the bright mode (the black line) calculated from the analytical model, which are normalized to the maximum energy in the dark mode. Blue dashed line: absorption of the structure calculated from FDTD simulation.

Download Full Size | PPT Slide | PDF

Fig. 2 (a) Hybridization schemes. (b)-(e) Quality factors for the dark (red) and the bright (black) modes extracted from the simulated transmission spectra by fitting them with the analytical model. Unless otherwise specified by the x-axis of each panel, the geometric parameters of the device are h = 100 nm, r₁ = 950 nm, r₂ = 700 nm, w = 100 nm, d = 150 nm, p = 2.6 µm. (b) Q versus the metal thickness h. (c) Q versus the gap size d between the two apertures. (d) Q versus the width of the aperture w. (e) Q versus radius r₁ when r₁, r₂ and w are scaled with the same factor. The resonant wavelength scales proportional to the radii.

Download Full Size | PPT Slide | PDF

Fig. 3 (a) An SEM picture of fabricated concentric two-ring apertures. (b) Red solid line shows measured power transmission spectrum for the concentric two-ring apertures with r₁ = 600 nm and r₂ = 350 nm. The dashed lines are the measured transmission spectra of single-ring apertures (blue: r = 600 nm, green: r = 350 nm). The spectra are normalized to the transmission of a bare silicon substrate. The black dotted line is analytical fitting of transmission of concentric two-ring apertures using coupled optical resonator model.

Download Full Size | PPT Slide | PDF

Fig. 4 (a) Scheme of charge motions for the dark mode with a cut between the apertures. (b) An SEM picture of fabricated concentric two-ring apertures with a cut between the apertures. (c) Measured transmission spectra of concentric two-ring apertures with a cut in the metal between the two apertures, as shown in (b), with different polarization of incident light. The transmission is normalized to the transmission of a bare silicon wafer.

Download Full Size | PPT Slide | PDF

Equations (7)

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

\frac{d a_{1}}{d t} = (i ω_{1} - \frac{1}{τ_{1}} - \frac{k_{1}^{2} + k_{2}^{2}}{2}) a_{1} - i κ a_{2} + k_{1} s_{1}^{+} + k_{2} s_{2}^{-},

\frac{d a_{2}}{d t} = (i ω_{2} - \frac{1}{τ_{2}}) a_{2} - i κ a_{1},

s_{1}^{-} = s_{1}^{+} - k_{1}^{*} a_{1},

s_{2}^{+} = s_{2}^{-} - k_{2}^{*} a_{1},

Q_{1} = ω_{1} / (\frac{1}{τ_{1}} + \frac{{| k_{1} |}^{2} + {| k_{2} |}^{2}}{2}),

Q_{2} = ω_{2} τ_{2} .

T (ω) = {| \frac{s_{2}^{+}}{s_{1}^{+}} |}^{2} = {| \frac{k_{1} k_{2}^{*} (i ω_{2} - i ω - \frac{1}{τ_{2}})}{(i ω_{1} - i ω - \frac{1}{τ_{1}} - \frac{{| k_{1} |}^{2} + {| k_{2} |}^{2}}{2}) (i ω_{2} - i ω - \frac{1}{τ_{2}}) + κ^{2}} |}^{2} .