OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 2 — Jan. 28, 2013
  • pp: 2236–2244
« Show journal navigation

Double Fano resonances due to interplay of electric and magnetic plasmon modes in planar plasmonic structure with high sensing sensitivity

Junqiao Wang, Chunzhen Fan, Jinna He, Pei Ding, Erjun Liang, and Qianzhong Xue  »View Author Affiliations


Optics Express, Vol. 21, Issue 2, pp. 2236-2244 (2013)
http://dx.doi.org/10.1364/OE.21.002236


View Full Text Article

Acrobat PDF (1715 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Double Fano resonant characteristics are investigated in planar plasmonic structure by embedding a metallic nanorod in symmetric U-shaped split ring resonators, which are caused by a strong interplay between a broad bright mode and narrow dark modes. The bright mode is resulted from the nanorod electric dipole resonance while the dark modes originate from the magnetic dipole induced by LC resonances. The overlapped dual Fano resonances can be decomposed to two separate ones by adjusting the coupling length between the nanorod and U-shaped split ring resonators. Fano resonances in the designed structure exhibit high refractive-index sensing sensitivity and figure of merit, which have potential applications in single or double-wavelength sensing in the near-infrared region.

© 2013 OSA

1. Introduction

Fano resonance property in metallic plasmonic nanostructures has drawn many researchers’ attentions in recent years due to its wide and significant applications in the areas such as surface enhanced Raman scattering (SERS) [1

1. J. R. Lombardi and R. L. Birke, “A Unified View of Surface-Enhanced Raman Scattering,” Acc. Chem. Res. 42(6), 734–742 (2009). [CrossRef] [PubMed]

], biological and chemical sensors [2

2. S. Liu, Z. Yang, R. Liu, and X. Li, “High Sensitivity Localized Surface Plasmon Resonance Sensing Using a Double Split NanoRing Cavity,” J. Phys. Chem. C 115(50), 24469–24477 (2011). [CrossRef]

, 3

3. J. F. O’Hara, R. Singh, I. Brener, E. Smirnova, J. Han, A. J. Taylor, and W. Zhang, “Thin-film sensing with planar terahertz metamaterials: sensitivity and limitations,” Opt. Express 16(3), 1786–1795 (2008). [CrossRef] [PubMed]

], active plasmonic switch [4

4. W. S. Chang, J. B. Lassiter, P. Swanglap, H. Sobhani, S. Khatua, P. Nordlander, N. J. Halas, and S. Link, “A Plasmonic Fano Switch,” Nano Lett. 12(9), 4977–4982 (2012). [CrossRef] [PubMed]

], waveguide modulator [5

5. X. Piao, S. Yu, and N. Park, “Control of Fano asymmetry in plasmon induced transparency and its application to plasmonic waveguide modulator,” Opt. Express 20(17), 18994–18999 (2012). [CrossRef] [PubMed]

] and slow-light devices [6

6. C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband Slow Light Metamaterial Based on a Double-Continuum Fano Resonance,” Phys. Rev. Lett. 106(10), 107403 (2011). [CrossRef] [PubMed]

]. Fano resonance, exhibiting an asymmetric line shape and generating a large electromagnetic field congregation, results from plasmonic hybridization between a narrow discrete resonance (dark mode) and a broad spectral line or continuum (bright mode) [7

7. A. E. Miroshnichenko, S. Flach, and Y. Kivshar, “Fano resonances in nanoscale structures,” Rev. Mod. Phys. 82(3), 2257–2298 (2010). [CrossRef]

,8

8. B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9(9), 707–715 (2010). [CrossRef] [PubMed]

]. The dark mode cannot be directly excited by incident light waves. However, the near-field coupling between two neighboring resonators can significantly change its optical behavior and result in localized electromagnetic field distribution in the sub-radiant resonator [9

9. Z.-G. Dong, P.-G. Ni, J. Zhu, and X. Zhang, “Transparency window for the absorptive dipole resonance in a symmetry-reduced grating structure,” Opt. Express 20(7), 7206–7211 (2012). [CrossRef] [PubMed]

].

Zhang et al. [10

10. S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008). [CrossRef] [PubMed]

] predicted Fano resonance in an individual plasmonic structure. They designed a dolmen-type slab structures consisting of a radiative element and a sub-radiant element to excite Fano resonance and achieved plasmon-induced transparency effect. Subsequently, the Fano resonance in non-concentric ring/disk cavity [11

11. F. Hao, Y. Sonnefraud, P. Van Dorpe, S. A. Maier, N. J. Halas, and P. Nordlander, “Symmetry breaking in plasmonic nanocavities: subradiant LSPR sensing and a tunable Fano resonance,” Nano Lett. 8(11), 3983–3988 (2008). [CrossRef] [PubMed]

] was demonstrated experimentally, which originated from a quadrupolar ring resonance interacting with a dipolar disk resonance. Fano-like resonances in plasmonic nanoparticle clusters [12

12. J. A. Fan, C. Wu, K. Bao, J. Bao, R. Bardhan, N. J. Halas, V. N. Manoharan, P. Nordlander, G. Shvets, and F. Capasso, “Self-Assembled Plasmonic Nanoparticle Clusters,” Science 328(5982), 1135–1138 (2010). [CrossRef] [PubMed]

], core-shell structure [13

13. Y. Hu, S. J. Noelck, and R. A. Drezek, “Symmetry breaking in gold-silica-gold multilayer nanoshells,” ACS Nano 4(3), 1521–1528 (2010). [CrossRef] [PubMed]

], plasmon rulers [14

14. N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-Dimensional Plasmon Rulers,” Science 332(6036), 1407–1410 (2011). [CrossRef] [PubMed]

], composite cut-wire structures [15

15. A. Artar, A. A. Yanik, and H. Altug, “Directional Double Fano Resonances in Plasmonic Hetero-Oligomers,” Nano Lett. 11(9), 3694–3700 (2011). [CrossRef] [PubMed]

], and other arrangements [16

16. J. Chen, P. Wang, C. Chen, Y. Lu, H. Ming, and Q. Zhan, “Plasmonic EIT-like switching in bright-dark-bright plasmon resonators,” Opt. Express 19(7), 5970–5978 (2011). [CrossRef] [PubMed]

19

19. S. Zhang, K. Bao, N. J. Halas, H. Xu, and P. Nordlander, “Substrate-Induced Fano Resonances of a Plasmonic Nanocube: A Route to Increased-Sensitivity Localized Surface Plasmon Resonance Sensors Revealed,” Nano Lett. 11(4), 1657–1663 (2011). [CrossRef] [PubMed]

] have been investigated theoretically or experimentally since then.

Split ring resonator (SRR) designed by Pendry in 1999 [20

20. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999). [CrossRef]

] is one of the most important elements to construct plasmonic metamaterials. Recently, structure symmetry breaking was employed to realize single Fano resonance in SRRs [21

21. K. Aydin, I. M. Pryce, and H. A. Atwater, “Symmetry breaking and strong coupling in planar optical metamaterials,” Opt. Express 18(13), 13407–13417 (2010). [CrossRef] [PubMed]

25

25. Z. Li, Y. Ma, R. Huang, R. Singh, J. Gu, Z. Tian, J. Han, and W. Zhang, “Manipulating the plasmon-induced transparency in terahertz metamaterials,” Opt. Express 19(9), 8912–8919 (2011). [CrossRef] [PubMed]

]. Singh & Zhang’s group used a tiny asymmetry U-shaped SRRs to realize electromagnetically induced transparency (EIT) [26

26. R. Singh, I. A. I. Al-Naib, Y. Yang, D. R. Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011). [CrossRef]

] and demonstrated a planar terahertz Fano metamaterial with an ultrahigh quality (Q) factor of 227 [27

27. W. Cao, R. Singh, I. A. I. Al-Naib, M. He, A. J. Taylor, and W. Zhang, “Low-loss ultra-high-Q dark mode plasmonic Fano metamaterials,” Opt. Lett. 37(16), 3366–3368 (2012). [CrossRef]

]. Subsequently, they combined a pair of SRRs with a cut wire to excite and tune the EIT effect, in which the cut wire acted as a bright resonator and the SRRs as a dark element [28

28. X. Liu, J. Gu, R. Singh, Y. Ma, J. Zhu, Z. Tian, M. He, J. Han, and W. Zhang, “Electromagnetically induced transparency in terahertz plasmonic metamaterials via dual excitation pathways of the dark mode,” Appl. Phys. Lett. 100(13), 131101 (2012). [CrossRef]

, 29

29. J. Gu, R. Singh, X. Liu, X. Zhang, Y. Ma, S. Zhang, S. A. Maier, Z. Tian, A. K. Azad, H.-T. Chen, A. J. Taylor, J. Han, and W. Zhang, “Active control of electromagnetically induced transparency analogue in terahertz metamaterials,” Nat Commun 3, 1151 (2012). [CrossRef] [PubMed]

].

2. Structures description

The configuration of the planner plasmonic structure is illustrated in Fig. 1(a)
Fig. 1 (a) Configuration of the designed planar plasmonic structure SRRs/Rod composed of two metallic SRRs and a nanorod. (b) Simulated scattering spectra of SRRs (green), nanorod (blue) and SRRs/Rod (red) structure. The dotted black curve is a fitting of the scattering spectrum (red) using the two oscillators interference model.
, which consists of double symmetrical U-shaped split-ring resonators (SRRs) and a nanorod between the two SRRs. For the sake of simplicity, this composite structure is termed as SRRs/Rod in the following. The corresponding geometric parameters in Fig. 1(a) are given as follows: a = b = 300 nm, d1 = d2 = 30 nm, c = e = f = 60 nm. All metallic elements have the same thickness of h = 60 nm. A plane wave is incident along the z-direction with the Ex polarization. The simulation is performed by using the time domain solver of commercial software (CST Micro Studio), where the computational domain is truncated by perfectly matched layers (PMLs) in all directions. The scattering cross section of the designed structure is obtained by the time domain near-to-far zone field transformation. The material of metallic elements are chosen to be silver, whose material properties are given in the literature [34

34. E. D. Palik, “Handbook of Optical Constants of Solids” (Academic Press, 1985).

].

3. Results and discussions

Figure 1(b) presents the simulated far-field back scattering cross sections for the structure of SRRs alone (green line), nanorod alone (blue line), and SRRs/Rod (red line) at normal incidence with electric field E parallel to the x axis. The single nanorod or SRR pair exhibit a typical optical antenna oscillating with same resonance frequencies centered at about 260 THz (blue and green curves in Fig. 1(b)). By induction of a nanorod between the two U-shaped SSRs, a typical Fano-like resonance spectral response with its peak at 206 THz and dip at 211 THz (denoted as D mode) appears in addition to a broad plasmon resonance at 293 THz (denoted as B mode) as indicated in Fig. 1(b). Fano resonance is generally observed in structural symmetry-breaking systems. Here we observed Fano resonance in a non-symmetry breaking system since the introduction of a nanorod between the two U-shaped SRRs does not break the structural symmetry. It can be inferred that the Fano resonance must be caused by destructive interference of a radiative (bright mode) resonance and a non-radiative resonance in the system. From the above results, in our designed planar structure, the nanorod acts as a highly radiative bright plasmon resonator and is directly excited by the incident light wave. At the same time, it acts as a key component of non-radiative dark plasmon resonators for the fundamental LC resonance which is indirectly excited through coupling with the bright resonator. In order to quantify the line-width, characterize the resonance position of the asymmetric Fano resonance, and get insight into the underlying physics, the spectrum is fitted through an analytical model. In the spectral domain, the interference between these two plasmon modes can be expressed with an analytical Fano interference model [35

35. V. Giannini, Y. Francescato, H. Amrania, C. C. Phillips, and S. A. Maier, “Fano Resonances in Nanoscale Plasmonic Systems: A Parameter-Free Modeling Approach,” Nano Lett. 11(7), 2835–2840 (2011). [CrossRef] [PubMed]

39

39. J. Q. Wang, C. Z. Fan, P. Ding, J. N. He, Y. G. Cheng, W. Q. Hu, G. W. Cai, E. J. Liang, and Q. Z. Xue, “Tunable broad-band perfect absorber by exciting of multiple plasmon resonances at optical frequency,” Opt. Express 20(14), 14871–14878 (2012). [CrossRef] [PubMed]

],
s(ω)=ar+jbjΓjeiϕjωωj+i(γj+Γj)
(1)
where ar is constant background amplitude. bjandϕj characterize the amplitudes and phases of each plasmon mode, ωjandΓjrepresent their resonance frequencies and line-widths, γjis nonradiative damping in the metal. A nearly match with a two oscillators (j = 1, 2) model fit (black dotted curve) is obtained for simulated spectrum of SRRs/Rod structure in Fig. 1(b). The line widths of the B and D mode are 165.7 THz and 7.8 THz, and the resonance frequencies of the B and D mode center at 318 THz and 206 THz, respectively.

In order to better understand the physical origin of this sharp plasmon resonance, we investigate the current distribution on the SRRs/Rod structure in the x-y plane, as shown in Fig. 2
Fig. 2 Current and field distributions on the SRRs/Rod structure in the x-y plane. (a) The current distribution of SRRs/Rod structure at 293THz. (b), (c), and (d) show the current, magnetic field component in the z-direction (i.e. Hz), and electric field component in the y-direction (i.e. Ey) distribution of SRRs/Rod structure at 206 THz.
. Figures 2(a) and 2(b) plot the current distribution patterns in the x-y plane at 293THz and 206 THz, respectively. Obviously, both the SRRs and the nanorod support in-phase conduction currents at 293THz (B mode). Similar to an electric dipole oscillation, it corresponds to a broad bright mode due to the radiative damping. For the plasmon resonance at 206 THz (D mode), anti-parallel oscillation currents between the SRRs and the nanorod are observed, where the magnetic dipole moments can be excited by LC resonances. Corresponding magnetic field component Hz in the x-y plane is presented in Fig. 2(c). It is observed that there are two strong magnetic field distributions located in the region between the rod and the SRRs and the two strong magnetic dipoles are out-of-phase. The asymmetric Fano resonance in the scattering spectrum is therefore attributed to the interaction of the electric dipole resonance (the bright mode) with the magnetic dipole resonance (the dark mode), which is governed by the presence of the central nanorod in the plasmonic structures. Obviously, the nanorod plays dual roles in exciting the Fano resonances in our designed structure: as an actor of superradiant bright mode and as a key component of the LC resonators that induce the subradiant dark modes. In addition, the electric filed distribution at 206 THz (Fig. 2(d)) demonstrates strong electric concentrations between the tips of the SRRs and the nanorod. Our result suggests that structural symmetry-breaking may not be necessary for generating Fano resonance, but a bright mode and a dark mode occurring in the same spectral region (or overlapping) is the key for Fano resonance.

It is the interplay between the electric dipole resonance (bright mode) and magnetic dipoles resonance (dark mode) that leads to the Fano resonance. It is evident from Fig. 2 and the discussions above that the two LC resonances and magnetic dipoles with out-of-phase oscillation can be excited in the structure of SRRs/Rod. They occur at the same frequency due to the symmetric nature of the structure. If the structure symmetry were broken, the two magnetic dipoles would occur at different frequencies. Double Fano resonances are expected by the interaction of the electric dipole resonance with the magnetic dipoles at different frequencies. In order to validate this supposition, we change the resonance frequency of one of two magnetic dipoles by breaking the structure symmetry.

Figure 3(a)
Fig. 3 (a) Simulated scattering spectrum of the asymmetric SRRs/Rod for d1 = 50 nm and d2 = 30 nm. The dotted black curve is a fitting of the scattering spectrum (red) using three oscillators interference model. (b) The evolution of the double Fano resonances against the separation d = d1-d2 (here d2 = 30 nm).
shows the scattering spectrum of the asymmetrical SRRs/Rod structure with the parameters d1 = 50 nm and d2 = 30 nm. Apart from the broad plasmon resonance located around 299THz, two plasmon resonance peaks appear at 206 THz (denoted as D1 mode) and 218 THz (denoted as D2 mode), respectively. The dark mode of the symmetrical SRRs/Rod structure (D mode) is decomposed into two independently detuned ones (D1 and D2 mode) for the asymmetrical structure because the difference of coupling distance between the rod and the two SRRs leads to the two magnetic dipoles oscillating at different resonance frequencies. The dotted black line corresponds to the fitting curve of the simulated scattering spectrum (red) by using a three oscillators Fano interference model according to the Eq. (1). The fitted resonance frequencies (line width) of the D1 and D2 mode are 209 THz and 219 THz (22.6 THz and 37.5 THz), respectively. Figures 4(a)
Fig. 4 The current, magnetic field, and electric field distribution of the asymmetric SRRs/Rod structure in the x-y plane in resonance with D1 (a-b) and D2 (d-f) mode, respectively.
-4(f) show the current, magnetic and electric field distributions in the x-y plane at 206 THz (D1 mode) and 218 THz (D2 mode), respectively. It is obvious that the D1 and D2 modes correspond to different magnetic dipole resonances, which result from the coupling between the nanorod and the SRRs with the spacing of d1 = 50 nm and d2 = 30 nm, respectively.

Figure 3(b) presents the evolution of the double Fano resonances with the parameter of d, where d = d1-d2, d1 varies and d2 = 30 nm keeps unchanged. With the increase of d, the distance between the top SRR and nanorod becomes large, which leads to the D2 mode shifts to the higher frequency together with an increasing of plasmon resonance intensity, while the D1 mode corresponding to the LC resonance between the bottom SRR and the nanorod is almost unchanged (located at 206 THz) due to the distance between them keeps constant.

The metamaterials with the sharp plasmon resonances have broad practical applications by controlling the line shape of the resonances such as active plasmonic switching, slow-light optical devices, SERS, and sensing. The SRRs/Rod structure can be employed as a tunable refractive-index based sensor because its spectral position substantially depends on the dielectric constants of the surrounding media. To investigate the sensing performance of the SRRs/Rod structure, we calculate the scattering spectra with different dielectric environments, as shown in Fig. 5(a)
Fig. 5 (a) The scattering spectra of asymmetric SRRs/Rod structure with d1 = 50 nm and d2 = 30 nm and (b) the plasmon resonance shift of D1, D2, D, and B modes with different refractive indices of surrounding dielectric environment.
. With the increase of the refractive index of the dielectric environment, the plasmon resonances associated with the bright and dark modes exhibit an obvious red-shift. This can be understood by the fact that the resonance wavelength is proportional to the square root of capacitance between the metallic nanorod and the U-shaped SRRs (i.e. λ∝(C)1/2) according to LC circuit resonance model, which is in turn proportional to the dielectric constants (i.e. λ∝(ε)1/2 = n) [21

21. K. Aydin, I. M. Pryce, and H. A. Atwater, “Symmetry breaking and strong coupling in planar optical metamaterials,” Opt. Express 18(13), 13407–13417 (2010). [CrossRef] [PubMed]

]. Figure 5(b) shows the plasmon resonance shift vs. refractive index. The refractive index sensitivities of the D1, D2, D and B mode are calculated to be 1380 nm/RIU, 1330 nm/RIU, 1360 nm/RIU and 920 nm/RIU, respectively. Therefore, the dark modes (D1, D2 and D modes) excited in the symmetrical or asymmetrical SRRs/Rod structure present the same magnitude of sensitivity of refractive index which is higher than the bright one (B mode).

For sensing applications, a high FOM are desired. FOM is usually applied to further evaluate the sensing performance as the following,
FOM=SFWHM=δλ/δnλ
(2)
whereλis the resonance line width as the full width at half maximum (FWHW) centered at the resonance wavelengthλ, S=δλ/δnis the refractive index sensitivity (i.e. spectral shifts per refractive index). The corresponding FWHW and FOM for different plasmon modes are presented in Table 1

Table 1. Evaluation of Sensing Performance by Refractive Index Sensitivity (S) and Figure of Merit (FOM)

table-icon
View This Table
.

From the Table 1, the dark modes (D1, D2 and D modes) excited in the symmetrical or asymmetrical DSRRs/Rod structure present the same magnitude of sensitivity of refractive index (S) that are higher than that of the bright one (B mode). Particularly, the FOM of D mode is the highest one among these plasmon modes. Upon the structure symmetry breaking, the single Fano resonance (D mode) separates into two plasmon modes (D1 and D2 mode). The FOM values of double Fano resonances reduce obviously due to the broadening of plasmon resonance peaks. Our results show that the SRRs/Rod structure can be used for the single or double-wavelength high sensitive sensing in near-infrared region.

4. Conclusions

We have demonstrated that the double Fano resonance effect can be achieved in the SRRs/Rod structure due to the strong interplay between the broad bright mode and the narrow dark modes. The bright mode corresponds to the electric dipole plasmon resonance, while the dark modes originate from the magnetic dipole resonance induced by circular currents. Contrast to the symmetrical SRRs/Rod structure that displays a single Fano resonance, the asymmetrical structure obtained by adjusting coupling distance between the nanorod and one of the SRRs generates two detuned dark modes, leading to double Fano resonances. Fano resonances in the SRRs/Rod structure exhibit high refractive-index sensing sensitivity and FOM, which have potential applications in single or double-wavelength sensing in the near-infrared region. Following this design idea, multiple Fano resonances may be realized for the multiple-wavelength active plasmonic switching, sensor, SERS, and slow-light optical devices.

Acknowledgments

We would like to thank Prof. Xinzheng Zhang and Prof. Peter Hertel for careful reading and correcting the manuscript. This work was supported by the Postdoctoral research sponsorship in Henan province (Grant No. 2011002), the National Science Foundation of China (No.10974183 and 11104252), the Ministry of Education of China (No. 20114101110003), the Aeronautical Science Foundation of China (2011ZF55015), the Basic and Frontier Technology Research Program of Henan Province (No. 112300410264), the Foundation for University young Key Teacher by Henan province (No.2012GGJS-146), the fund for Science & Technology innovation team of Zhengzhou (2011-03), and the cooperation fund with Fudan University (No. KL2011_01).

References and links

1.

J. R. Lombardi and R. L. Birke, “A Unified View of Surface-Enhanced Raman Scattering,” Acc. Chem. Res. 42(6), 734–742 (2009). [CrossRef] [PubMed]

2.

S. Liu, Z. Yang, R. Liu, and X. Li, “High Sensitivity Localized Surface Plasmon Resonance Sensing Using a Double Split NanoRing Cavity,” J. Phys. Chem. C 115(50), 24469–24477 (2011). [CrossRef]

3.

J. F. O’Hara, R. Singh, I. Brener, E. Smirnova, J. Han, A. J. Taylor, and W. Zhang, “Thin-film sensing with planar terahertz metamaterials: sensitivity and limitations,” Opt. Express 16(3), 1786–1795 (2008). [CrossRef] [PubMed]

4.

W. S. Chang, J. B. Lassiter, P. Swanglap, H. Sobhani, S. Khatua, P. Nordlander, N. J. Halas, and S. Link, “A Plasmonic Fano Switch,” Nano Lett. 12(9), 4977–4982 (2012). [CrossRef] [PubMed]

5.

X. Piao, S. Yu, and N. Park, “Control of Fano asymmetry in plasmon induced transparency and its application to plasmonic waveguide modulator,” Opt. Express 20(17), 18994–18999 (2012). [CrossRef] [PubMed]

6.

C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband Slow Light Metamaterial Based on a Double-Continuum Fano Resonance,” Phys. Rev. Lett. 106(10), 107403 (2011). [CrossRef] [PubMed]

7.

A. E. Miroshnichenko, S. Flach, and Y. Kivshar, “Fano resonances in nanoscale structures,” Rev. Mod. Phys. 82(3), 2257–2298 (2010). [CrossRef]

8.

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9(9), 707–715 (2010). [CrossRef] [PubMed]

9.

Z.-G. Dong, P.-G. Ni, J. Zhu, and X. Zhang, “Transparency window for the absorptive dipole resonance in a symmetry-reduced grating structure,” Opt. Express 20(7), 7206–7211 (2012). [CrossRef] [PubMed]

10.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008). [CrossRef] [PubMed]

11.

F. Hao, Y. Sonnefraud, P. Van Dorpe, S. A. Maier, N. J. Halas, and P. Nordlander, “Symmetry breaking in plasmonic nanocavities: subradiant LSPR sensing and a tunable Fano resonance,” Nano Lett. 8(11), 3983–3988 (2008). [CrossRef] [PubMed]

12.

J. A. Fan, C. Wu, K. Bao, J. Bao, R. Bardhan, N. J. Halas, V. N. Manoharan, P. Nordlander, G. Shvets, and F. Capasso, “Self-Assembled Plasmonic Nanoparticle Clusters,” Science 328(5982), 1135–1138 (2010). [CrossRef] [PubMed]

13.

Y. Hu, S. J. Noelck, and R. A. Drezek, “Symmetry breaking in gold-silica-gold multilayer nanoshells,” ACS Nano 4(3), 1521–1528 (2010). [CrossRef] [PubMed]

14.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-Dimensional Plasmon Rulers,” Science 332(6036), 1407–1410 (2011). [CrossRef] [PubMed]

15.

A. Artar, A. A. Yanik, and H. Altug, “Directional Double Fano Resonances in Plasmonic Hetero-Oligomers,” Nano Lett. 11(9), 3694–3700 (2011). [CrossRef] [PubMed]

16.

J. Chen, P. Wang, C. Chen, Y. Lu, H. Ming, and Q. Zhan, “Plasmonic EIT-like switching in bright-dark-bright plasmon resonators,” Opt. Express 19(7), 5970–5978 (2011). [CrossRef] [PubMed]

17.

Z. S. Zhang, Z. J. Yang, J. B. Li, Z. H. Hao, and Q. Q. Wang, “Plasmonic interferences in two-dimensional stacked double-disk array,” Appl. Phys. Lett. 98(17), 173111 (2011). [CrossRef]

18.

Z. Y. Fang, J. Cai, Z. Yan, P. Nordlander, N. J. Halas, and X. Zhu, “Removing a wedge from a metallic nanodisk reveals a Fano resonance,” Nano Lett. 11(10), 4475–4479 (2011). [CrossRef] [PubMed]

19.

S. Zhang, K. Bao, N. J. Halas, H. Xu, and P. Nordlander, “Substrate-Induced Fano Resonances of a Plasmonic Nanocube: A Route to Increased-Sensitivity Localized Surface Plasmon Resonance Sensors Revealed,” Nano Lett. 11(4), 1657–1663 (2011). [CrossRef] [PubMed]

20.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999). [CrossRef]

21.

K. Aydin, I. M. Pryce, and H. A. Atwater, “Symmetry breaking and strong coupling in planar optical metamaterials,” Opt. Express 18(13), 13407–13417 (2010). [CrossRef] [PubMed]

22.

R. Singh, I. A. I. Al-Naib, M. Koch, and W. Zhang, “Asymmetric planar terahertz metamaterials,” Opt. Express 18(12), 13044–13050 (2010). [CrossRef] [PubMed]

23.

P. Ding, E. J. Liang, W. Q. Hu, G. W. Cai, and Q. Z. Xue, “Tunable plasmonic properties and giant field enhancement in asymmetric double split ring arrays,” Photon. Nanostructures-Fundam.and Applic. 9(1), 42–48 (2011). [CrossRef]

24.

R. Singh, I. A. I. Al-Naib, M. Koch, and W. Zhang, “Sharp Fano resonances in THz metamaterials,” Opt. Express 19(7), 6312–6319 (2011). [CrossRef] [PubMed]

25.

Z. Li, Y. Ma, R. Huang, R. Singh, J. Gu, Z. Tian, J. Han, and W. Zhang, “Manipulating the plasmon-induced transparency in terahertz metamaterials,” Opt. Express 19(9), 8912–8919 (2011). [CrossRef] [PubMed]

26.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. R. Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011). [CrossRef]

27.

W. Cao, R. Singh, I. A. I. Al-Naib, M. He, A. J. Taylor, and W. Zhang, “Low-loss ultra-high-Q dark mode plasmonic Fano metamaterials,” Opt. Lett. 37(16), 3366–3368 (2012). [CrossRef]

28.

X. Liu, J. Gu, R. Singh, Y. Ma, J. Zhu, Z. Tian, M. He, J. Han, and W. Zhang, “Electromagnetically induced transparency in terahertz plasmonic metamaterials via dual excitation pathways of the dark mode,” Appl. Phys. Lett. 100(13), 131101 (2012). [CrossRef]

29.

J. Gu, R. Singh, X. Liu, X. Zhang, Y. Ma, S. Zhang, S. A. Maier, Z. Tian, A. K. Azad, H.-T. Chen, A. J. Taylor, J. Han, and W. Zhang, “Active control of electromagnetically induced transparency analogue in terahertz metamaterials,” Nat Commun 3, 1151 (2012). [CrossRef] [PubMed]

30.

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]

31.

D. Dregely, M. Hentschel, and H. Giessen, “Excitation and Tuning of Higher-Order Fano Resonances in Plasmonic Oligomer Clusters,” ACS Nano 5(10), 8202–8211 (2011). [CrossRef] [PubMed]

32.

S.-D. Liu, Z. Yang, R.-P. Liu, and X.-Y. Li, “Multiple Fano Resonances in Plasmonic Heptamer Clusters Composed of Split Nanorings,” ACS Nano 6(7), 6260–6271 (2012). [CrossRef] [PubMed]

33.

A. Artar, A. A. Yanik, and H. Altug, “Directional Double Fano Resonances in Plasmonic Hetero-Oligomers,” Nano Lett. 11(9), 3694–3700 (2011). [CrossRef] [PubMed]

34.

E. D. Palik, “Handbook of Optical Constants of Solids” (Academic Press, 1985).

35.

V. Giannini, Y. Francescato, H. Amrania, C. C. Phillips, and S. A. Maier, “Fano Resonances in Nanoscale Plasmonic Systems: A Parameter-Free Modeling Approach,” Nano Lett. 11(7), 2835–2840 (2011). [CrossRef] [PubMed]

36.

N. Verellen, P. Van Dorpe, D. Vercruysse, G. A. E. Vandenbosch, and V. V. Moshchalkov, “Dark and bright localized surface plasmons in nanocrosses,” Opt. Express 19(12), 11034–11051 (2011). [CrossRef] [PubMed]

37.

F. Hao, P. Nordlander, Y. Sonnefraud, P. Van Dorpe, and S. A. Maier, “Tunability of Subradiant Dipolar and Fano-Type Plasmon Resonances in Metallic Ring/Disk Cavities: Implications for Nanoscale Optical Sensing,” ACS Nano 3(3), 643–652 (2009). [CrossRef] [PubMed]

38.

N. Verellen, P. Van Dorpe, C. Huang, K. Lodewijks, G. A. E. Vandenbosch, L. Lagae, and V. V. Moshchalkov, “Plasmon Line Shaping Using Nanocrosses for High Sensitivity Localized Surface Plasmon Resonance Sensing,” Nano Lett. 11(2), 391–397 (2011). [CrossRef] [PubMed]

39.

J. Q. Wang, C. Z. Fan, P. Ding, J. N. He, Y. G. Cheng, W. Q. Hu, G. W. Cai, E. J. Liang, and Q. Z. Xue, “Tunable broad-band perfect absorber by exciting of multiple plasmon resonances at optical frequency,” Opt. Express 20(14), 14871–14878 (2012). [CrossRef] [PubMed]

OCIS Codes
(240.6680) Optics at surfaces : Surface plasmons
(260.5740) Physical optics : Resonance
(160.3918) Materials : Metamaterials

ToC Category:
Optics at Surfaces

History
Original Manuscript: November 8, 2012
Revised Manuscript: December 24, 2012
Manuscript Accepted: January 11, 2013
Published: January 23, 2013

Citation
Junqiao Wang, Chunzhen Fan, Jinna He, Pei Ding, Erjun Liang, and Qianzhong Xue, "Double Fano resonances due to interplay of electric and magnetic plasmon modes in planar plasmonic structure with high sensing sensitivity," Opt. Express 21, 2236-2244 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-2-2236


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. R. Lombardi and R. L. Birke, “A Unified View of Surface-Enhanced Raman Scattering,” Acc. Chem. Res.42(6), 734–742 (2009). [CrossRef] [PubMed]
  2. S. Liu, Z. Yang, R. Liu, and X. Li, “High Sensitivity Localized Surface Plasmon Resonance Sensing Using a Double Split NanoRing Cavity,” J. Phys. Chem. C115(50), 24469–24477 (2011). [CrossRef]
  3. J. F. O’Hara, R. Singh, I. Brener, E. Smirnova, J. Han, A. J. Taylor, and W. Zhang, “Thin-film sensing with planar terahertz metamaterials: sensitivity and limitations,” Opt. Express16(3), 1786–1795 (2008). [CrossRef] [PubMed]
  4. W. S. Chang, J. B. Lassiter, P. Swanglap, H. Sobhani, S. Khatua, P. Nordlander, N. J. Halas, and S. Link, “A Plasmonic Fano Switch,” Nano Lett.12(9), 4977–4982 (2012). [CrossRef] [PubMed]
  5. X. Piao, S. Yu, and N. Park, “Control of Fano asymmetry in plasmon induced transparency and its application to plasmonic waveguide modulator,” Opt. Express20(17), 18994–18999 (2012). [CrossRef] [PubMed]
  6. C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband Slow Light Metamaterial Based on a Double-Continuum Fano Resonance,” Phys. Rev. Lett.106(10), 107403 (2011). [CrossRef] [PubMed]
  7. A. E. Miroshnichenko, S. Flach, and Y. Kivshar, “Fano resonances in nanoscale structures,” Rev. Mod. Phys.82(3), 2257–2298 (2010). [CrossRef]
  8. B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater.9(9), 707–715 (2010). [CrossRef] [PubMed]
  9. Z.-G. Dong, P.-G. Ni, J. Zhu, and X. Zhang, “Transparency window for the absorptive dipole resonance in a symmetry-reduced grating structure,” Opt. Express20(7), 7206–7211 (2012). [CrossRef] [PubMed]
  10. S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett.101(4), 047401 (2008). [CrossRef] [PubMed]
  11. F. Hao, Y. Sonnefraud, P. Van Dorpe, S. A. Maier, N. J. Halas, and P. Nordlander, “Symmetry breaking in plasmonic nanocavities: subradiant LSPR sensing and a tunable Fano resonance,” Nano Lett.8(11), 3983–3988 (2008). [CrossRef] [PubMed]
  12. J. A. Fan, C. Wu, K. Bao, J. Bao, R. Bardhan, N. J. Halas, V. N. Manoharan, P. Nordlander, G. Shvets, and F. Capasso, “Self-Assembled Plasmonic Nanoparticle Clusters,” Science328(5982), 1135–1138 (2010). [CrossRef] [PubMed]
  13. Y. Hu, S. J. Noelck, and R. A. Drezek, “Symmetry breaking in gold-silica-gold multilayer nanoshells,” ACS Nano4(3), 1521–1528 (2010). [CrossRef] [PubMed]
  14. N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-Dimensional Plasmon Rulers,” Science332(6036), 1407–1410 (2011). [CrossRef] [PubMed]
  15. A. Artar, A. A. Yanik, and H. Altug, “Directional Double Fano Resonances in Plasmonic Hetero-Oligomers,” Nano Lett.11(9), 3694–3700 (2011). [CrossRef] [PubMed]
  16. J. Chen, P. Wang, C. Chen, Y. Lu, H. Ming, and Q. Zhan, “Plasmonic EIT-like switching in bright-dark-bright plasmon resonators,” Opt. Express19(7), 5970–5978 (2011). [CrossRef] [PubMed]
  17. Z. S. Zhang, Z. J. Yang, J. B. Li, Z. H. Hao, and Q. Q. Wang, “Plasmonic interferences in two-dimensional stacked double-disk array,” Appl. Phys. Lett.98(17), 173111 (2011). [CrossRef]
  18. Z. Y. Fang, J. Cai, Z. Yan, P. Nordlander, N. J. Halas, and X. Zhu, “Removing a wedge from a metallic nanodisk reveals a Fano resonance,” Nano Lett.11(10), 4475–4479 (2011). [CrossRef] [PubMed]
  19. S. Zhang, K. Bao, N. J. Halas, H. Xu, and P. Nordlander, “Substrate-Induced Fano Resonances of a Plasmonic Nanocube: A Route to Increased-Sensitivity Localized Surface Plasmon Resonance Sensors Revealed,” Nano Lett.11(4), 1657–1663 (2011). [CrossRef] [PubMed]
  20. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech.47(11), 2075–2084 (1999). [CrossRef]
  21. K. Aydin, I. M. Pryce, and H. A. Atwater, “Symmetry breaking and strong coupling in planar optical metamaterials,” Opt. Express18(13), 13407–13417 (2010). [CrossRef] [PubMed]
  22. R. Singh, I. A. I. Al-Naib, M. Koch, and W. Zhang, “Asymmetric planar terahertz metamaterials,” Opt. Express18(12), 13044–13050 (2010). [CrossRef] [PubMed]
  23. P. Ding, E. J. Liang, W. Q. Hu, G. W. Cai, and Q. Z. Xue, “Tunable plasmonic properties and giant field enhancement in asymmetric double split ring arrays,” Photon. Nanostructures-Fundam.and Applic.9(1), 42–48 (2011). [CrossRef]
  24. R. Singh, I. A. I. Al-Naib, M. Koch, and W. Zhang, “Sharp Fano resonances in THz metamaterials,” Opt. Express19(7), 6312–6319 (2011). [CrossRef] [PubMed]
  25. Z. Li, Y. Ma, R. Huang, R. Singh, J. Gu, Z. Tian, J. Han, and W. Zhang, “Manipulating the plasmon-induced transparency in terahertz metamaterials,” Opt. Express19(9), 8912–8919 (2011). [CrossRef] [PubMed]
  26. R. Singh, I. A. I. Al-Naib, Y. Yang, D. R. Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett.99(20), 201107 (2011). [CrossRef]
  27. W. Cao, R. Singh, I. A. I. Al-Naib, M. He, A. J. Taylor, and W. Zhang, “Low-loss ultra-high-Q dark mode plasmonic Fano metamaterials,” Opt. Lett.37(16), 3366–3368 (2012). [CrossRef]
  28. X. Liu, J. Gu, R. Singh, Y. Ma, J. Zhu, Z. Tian, M. He, J. Han, and W. Zhang, “Electromagnetically induced transparency in terahertz plasmonic metamaterials via dual excitation pathways of the dark mode,” Appl. Phys. Lett.100(13), 131101 (2012). [CrossRef]
  29. J. Gu, R. Singh, X. Liu, X. Zhang, Y. Ma, S. Zhang, S. A. Maier, Z. Tian, A. K. Azad, H.-T. Chen, A. J. Taylor, J. Han, and W. Zhang, “Active control of electromagnetically induced transparency analogue in terahertz metamaterials,” Nat Commun3, 1151 (2012). [CrossRef] [PubMed]
  30. 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]
  31. D. Dregely, M. Hentschel, and H. Giessen, “Excitation and Tuning of Higher-Order Fano Resonances in Plasmonic Oligomer Clusters,” ACS Nano5(10), 8202–8211 (2011). [CrossRef] [PubMed]
  32. S.-D. Liu, Z. Yang, R.-P. Liu, and X.-Y. Li, “Multiple Fano Resonances in Plasmonic Heptamer Clusters Composed of Split Nanorings,” ACS Nano6(7), 6260–6271 (2012). [CrossRef] [PubMed]
  33. A. Artar, A. A. Yanik, and H. Altug, “Directional Double Fano Resonances in Plasmonic Hetero-Oligomers,” Nano Lett.11(9), 3694–3700 (2011). [CrossRef] [PubMed]
  34. E. D. Palik, “Handbook of Optical Constants of Solids” (Academic Press, 1985).
  35. V. Giannini, Y. Francescato, H. Amrania, C. C. Phillips, and S. A. Maier, “Fano Resonances in Nanoscale Plasmonic Systems: A Parameter-Free Modeling Approach,” Nano Lett.11(7), 2835–2840 (2011). [CrossRef] [PubMed]
  36. N. Verellen, P. Van Dorpe, D. Vercruysse, G. A. E. Vandenbosch, and V. V. Moshchalkov, “Dark and bright localized surface plasmons in nanocrosses,” Opt. Express19(12), 11034–11051 (2011). [CrossRef] [PubMed]
  37. F. Hao, P. Nordlander, Y. Sonnefraud, P. Van Dorpe, and S. A. Maier, “Tunability of Subradiant Dipolar and Fano-Type Plasmon Resonances in Metallic Ring/Disk Cavities: Implications for Nanoscale Optical Sensing,” ACS Nano3(3), 643–652 (2009). [CrossRef] [PubMed]
  38. N. Verellen, P. Van Dorpe, C. Huang, K. Lodewijks, G. A. E. Vandenbosch, L. Lagae, and V. V. Moshchalkov, “Plasmon Line Shaping Using Nanocrosses for High Sensitivity Localized Surface Plasmon Resonance Sensing,” Nano Lett.11(2), 391–397 (2011). [CrossRef] [PubMed]
  39. J. Q. Wang, C. Z. Fan, P. Ding, J. N. He, Y. G. Cheng, W. Q. Hu, G. W. Cai, E. J. Liang, and Q. Z. Xue, “Tunable broad-band perfect absorber by exciting of multiple plasmon resonances at optical frequency,” Opt. Express20(14), 14871–14878 (2012). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited