Abstract

In this paper we present a simulation study of nanostructures with unit cells of periodic coupled cut-wire pairs for band-stop properties in the optical frequency range. A band-stop filter with a broader stop band for space transmission is realized by making use of plasmon hybridization. The bandwidth of the filter is tunable over a large range from 56.6 to 182.2 THz by magnetic and electric couplings between adjacent unit cells. An equivalent RLC resonant circuit is proposed to analyze the origin of the coupling effects. The bandwidth tunability by the coupling effect provides good guidance for a metamaterial design that works in broadband frequencies.

© 2011 OSA

1. Introduction

Metamaterials built by artificial subwavelength structures have attracted enormous interest in recent years due to their unique electromagnetic properties, which are not available in natural materials [1,2]. Unit cells such as metallic split ring resonators [3], continuous wires [4], fishnets [5] and cut-wire pairs [6] have been proposed as building blocks for metamaterials. Functional devices based on metamaterials, such as superlenses [7], invisibility cloaks [8], perfect absorbers [9], polarizers [10], and filters [1116] have been reported in previous works. With regard to metamaterial-based filters, some integrated transmission line filters, including band-pass and band-stop filters, have been designed in the microwave range [1114]. Recently some works have been focused on THz band-pass filters, which filtrate THz electromagnetic signals in free space [15,16]. However, to the best of our knowledge, there is no related work being carried out on space transmission band-stop filters for the suppression of undesired responses or for the elimination of interfering signals. Actually, metamaterials with either electric or magnetic responses are inherent transmission band-stop filters owing to their transmission dips. However, the bandwidth is always narrow due to the resonant nature of the response, which greatly limits certain applications in which wider forbidden bands are required. In addition, the coupling effect between the unit cells of metamaterials is an important topic that triggers great interest [1719]. In this paper, we demonstrate that a band-stop filter with a broad bandwidth can be achieved by making use of the plasmon hybridization of nanostructures with periodic coupled cut-wire pairs in the optical frequency range. The bandwidth of the filter is tunable by coupling the adjacent unit cells, which can be analyzed qualitatively by a simple RLC coupling circuit model. The tunable broadband optical filter of the proposed structure can readily be scaled up to the structures that are working in terahertz and microwave frequency ranges as well.

2. Structures and Design

For its simplicity of design for modulation of permeability in the optical range with the participation of surface plasmons [6,20,21], a cut-wire pair structure is used in this paper as the basic nanostructure of an optical band-stop filter, as shown in Fig. 1 . The unit cell has the dimensions of Px=300nm and Py=120nm in the x and y directions. The single metal cut-wire has the dimension of a=160nm and b=40nm. We introduce a curvature of 20 nm at the corners of the wire to approach the actual fabrication [22,23]. The symmetrical metal wires and the central dielectric layer have thicknesses of tm=20nm and td=150nm, respectively. The structure with the aforementioned dimensions can be fabricated using focus-ion-beam milling or electron-beam lithography [24]. The simulation is performed by using commercial software (CST Microwave Studio), where a plane wave polarized in the x direction illuminates normally to the structure from the top, as depicted in Fig. 1. Corresponding periodic boundary conditions are considered. A Drude model is used to describe the realistic characteristics of Ag at optical frequencies where the high-frequency bulk permittivity isε=4.2, the corresponding plasma frequency is ωp=1.346×104THz, and the collision frequency is γ=96.17THz [25]. Quartz with refraction index n=1.46is adopted as the central dielectric layer material.

 

Fig. 1 Schematic of the coupled cut-wire pair structure. (a) Top view and (b) side view located at the dashed-dotted line marked in (a).

Download Full Size | PPT Slide | PDF

3. Simulation Results and Discussion

Figure 2(a) shows a simulated transmission of the coupled cut-wire pairs by a black solid line with the aforementioned dimensional parameters. For reference, the transmission of the nanostructure with the unit cell of a single cut-wire layer is also presented (red, short dashed line). Compared to the case of a single cut-wire layer nanostructure, the transmission stop band of the coupled cut-wire pair nanostructure is expanded due to plasmon hybridization, which originates from longitudinal coupling (parallel to the transmission direction). The two resonances of the anti-symmetrical plasmon mode (corresponding to the lower transmission minimum at fh=365.7THz) and the symmetrical plasmon mode (corresponding to the higher transmission minimum at fe=409.4 THz) are located at each side of the bare plasmon mode resonance at f0=387.1THz [18,26]. As depicted in Fig. 2(a), the two transmission stop bands resulting from plasmon hybridization are combined to be a continuously broader stop band. The retrieved frequency-dependent material parameters are given in Fig. 2(b). Magnetic resonance and dielectric resonance take place at fh and fe, respectively, which is consistent with the corresponding hybrid anti-symmetrical and symmetrical plasmon resonance positions. Thus a negative μ band and negative ε band are realized in the vicinity of the corresponding resonant frequencies. The closed two single negative bands bring a wider-range impedance z mismatch between the structure and free space, as shown in inset of Fig. 2(b), which finally shows the broader transmission stop band. Different from the previous works [6,20] that show the overlap of the negative μ band and negative ε band to achieve a negative refractive index of the metamaterials, our design brings the two single negative bands close in order to expand the stop band. Meanwhile, the dielectric thickness td, plays a key role in obtaining a broad and continuous stop band, because it primarily determines the hybridized electric and magnetic resonant frequencies of the cut-wire pair [18,26]. It should be noted that both of the hybridized resonances at fh and fe are much stronger than the bare plasmon mode resonance at f0, thus leading to a steep transformation between pass and stop bands, as shown in Fig. 2(a). The transmission out of the resonant band is higher than 0.9 with the consideration of the dielectric loss in silver.

 

Fig. 2 (a) Transmission spectra for the coupled cut-wire pairs and single cut-wire layer nanostructures. (b) Retrieved frequency dependent Real(μ) and Real(ε) for the coupled cut-wire pairs. The insert shows the retrieved frequency dependent Real(z).

Download Full Size | PPT Slide | PDF

The bandwidth of the stop band can be tuned by the transverse coupling (vertical to transmission direction) between the unit cells without a distinct change in the shape of the transmission spectra. Recently, novel properties have been reported by introducing coupling between the unit cells. It is pointed out that both electric and magnetic dipole couplings contribute to the resonant properties of single-layered split-ring metamaterial arrays, and the effects on bandwidth of transverse couplings are also discussed by analyzing the effective extinction cross section in [19]. We demonstrate that the bandwidth of our band-stop filter can be modulated by both magnetic coupling in the y direction and electric coupling in the x direction.

Figures 3(a) and 3(b) reveal that the stop band is expanded with a decrease of space Px and Py between the unit cells. The 3 dB bandwidth, which is defined as the range between fhigh (the higher-frequency point at which 50% energy transmits through the structure) and flow (the lower-frequency point at which 50% energy transmits through the structure) in this paper is increased from 56.6 THz to 147.7 THz with a decrease of Py from 360 nm to 90 nm, as shown in Fig. 3(c). Similarly, it is increased from 108.2 THz to 182.2 THz with a decrease of Px from 380 nm to 180 nm, as shown in Fig. 3(d). The shift of the central frequency, defined asfcen=(fhigh+flow)/2, is opposite in the case of a decrease of Py and Px, namely, it decreases with Py, while it increases with Px, as shown in Figs. 3(c) and 3(d). The shift tends to saturate at a larger space for both cases because of the negligible coupling.

 

Fig. 3 Transmission spectra for (a) different Py values at a fixedPx=300nm, and (b) different Px values at a fixedPy=120nm, where other parameters are fixed asa=160nm, b=40nm, tm=20nm, andtd=150nm. Resonant frequency and 3 dB bandwidth of the coupled cut-wire pairs nanostructure as functions of (c) Py and (d) Px.

Download Full Size | PPT Slide | PDF

It can be concluded unambiguously that both stop band expansion and central frequency shift resulted from the coupling of the unit cells. The resonant frequency and bandwidth of the single cut-wire layer nanostructure as functions of Py and Px are also plotted in Figs. 4(a) and 4(b), respectively, where we can find that the variations of resonance frequency and bandwidth with Py and Px for the single cut-wire layer nanostructure are similar to coupled cut-wire pair nanostructures. The resonant frequency of the single cut-wire layer nanostructure is overlapped approximately with the central frequency of the coupled cut-wire pairs nanostructure for the same Py and Px, as depicted in the insets in Figs. 4(a) and 4(b). It indicates two unique properties: one is that the transverse coupling between unit cells has little influence on the symmetrical plasmon hybridization between the cut-wire pairs; the other is that the stop band shift of the cut-wire pairs with transverse coupling originates from the shift of bare plasmonic resonant frequency for single cut-wire layer nanostructures. For conveniently comprehending the origin of the stop band shift and expansion properties of coupled cut-wire pairs, an equivalent RLC circuit model is introduced to analyze the resonant characteristics of the single cut-wire layer as shown in Fig. 4(c). The resonant frequency and the bandwidth can be calculated as follows [27]:

f=12πLC,
BW=fQ=RtotalL,
where L is the inductance, C the capacitance, Q the quality factor, and Rtotal is the total electric resistance.

 

Fig. 4 Resonant frequency and 3dB bandwidth of the single cut-wire layer nanostructure as functions of (a) Py and (b) Px. (c) and (d) The equivalent RLC circuits for magnetic and electric couplings. Insets in (a) and (b) are the resonant frequencies (RF) of the single cut-wire layer nanostructure as a function of central frequencies (CF) of the coupled cut-wire pair nanostructures at different Py and Px values.

Download Full Size | PPT Slide | PDF

Stop band expansion and resonant frequency blue shift with the decrease of Py are caused by the magnetic coupling in the y direction. The incident light excites electric current I in the metal wires, which stimulates a directionally opposite magnetic field in the intermediate areas between the adjacent cut wires, as shown in Fig. 4(c). Therefore, an extra equivalent negative mutual inductance (-Lc) is introduced in the equivalent RLC circuit because of the cancellation of the magnetic field. Meanwhile, the absolute value of mutual inductance increases with the enhancement of coupling, which reduces the total inductance in the circuit. As a result, both the resonant frequency and the bandwidth increase with Py decreasing, based on Eqs. (1) and (2). On the other hand, the electric coupling between the adjacent unit cells in the x direction accounts for the stop band expansion and the red shift of the resonant frequency. An equivalent parallel capacitance Cc is introduced in the equivalent RLC circuit because of E-field coupling. The increasing capacitance with the enhancement of coupling decreases the resonant frequency, as shown in Fig. 4(b). It should be noticed that the silver in the optical frequency range induces energy loss. The enhanced E-field around the silver by the strong electric coupling greatly increases the loss [22,23]. The extra coupling resistance Rc increases the total resistance Rtotal in the RLC circuit, as sketched in Fig. 4(d). The increase of Rtotal therefore expands the bandwidth, according to Eq. (2), which agrees with the results shown in Fig. 4(b). From analysis of the single cut-wire layer nanostructure, we can deduce that the stop band shift of the coupled cut-wire pair nanostructure originates from a decrease of equivalent inductance by magnetic coupling in the y direction and the increase of equivalent capacitance by electric coupling in the x direction, respectively. The stop band expansion of the coupled cut-wire pair nanostructure originates from a decrease of equivalent inductance by magnetic coupling in the y direction and an increase of equivalent resistance by electric coupling in the x direction, respectively. However, the enhanced electric resistance also decreases the transmission in the transmission band. As plotted in Fig. 3(b), when Px equals to 180 nm, the transmission at the transmission band decreases to about 0.8.

4. Conclusions

In summary, we demonstrate a band-stop filter in the optical frequency range by a coupled cut-wire pair nanostructure. Wider bandwidth and steeper transformations between pass and stop bands are realized by making use of plasmon hybridization as compared to bare plasmonic resonance. The transmission out of the resonant band is higher than 0.9. The bandwidth of the filter is tunable by the magnetic and electric couplings between adjacent unit cells. This outstanding property provides good guidance for metamaterial design that works in broadband frequencies. The origin of the coupling effect is studied in simple equivalent RLC circuit models. The band-stop filter with tunable bandwidth is a great supplementation for application in metamaterials.

Acknowledgements

This work was supported by the funding provided by NUS Start-up Grant (Project No. R-263-000-515-133) and 973 Program of China (No. 2011CB301800).

References and links

1. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968). [CrossRef]  

2. 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]  

3. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001). [CrossRef]   [PubMed]  

4. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs I, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996). [CrossRef]   [PubMed]  

5. S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005). [CrossRef]   [PubMed]  

6. V. M. Shalaev, W. Cai, U. K. Chettiar, H.-K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30(24), 3356–3358 (2005). [CrossRef]  

7. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000). [CrossRef]   [PubMed]  

8. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006). [CrossRef]   [PubMed]  

9. N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008). [CrossRef]   [PubMed]  

10. J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009). [CrossRef]   [PubMed]  

11. F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003). [CrossRef]  

12. J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006). [CrossRef]  

13. R. Marqués, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications (Wiley, 2008).

14. M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008). [CrossRef]  

15. J. Han, J. Gu, X. Lu, M. He, Q. Xing, and W. Zhang, “Broadband resonant terahertz transmission in a composite metal-dielectric structure,” Opt. Express 17(19), 16527–16534 (2009). [CrossRef]   [PubMed]  

16. O. Paul, R. Beigang, and M. Rahm, “Highly selective terahertz bandpass filters based on trapped mode excitation,” Opt. Express 17(21), 18590–18595 (2009). [CrossRef]  

17. N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008). [CrossRef]  

18. N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007). [CrossRef]  

19. I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009). [CrossRef]  

20. J. Zhou, E. N. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31(24), 3620–3622 (2006). [CrossRef]   [PubMed]  

21. V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007). [CrossRef]  

22. P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005). [CrossRef]   [PubMed]  

23. E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006). [CrossRef]  

24. X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010). [CrossRef]  

25. H. Gao, H. Shi, C. Wang, C. Du, X. Luo, Q. Deng, Y. Lv, X. Lin, and H. Yao, “Surface plasmon polariton propagation and combination in Y-shaped metallic channels,” Opt. Express 13(26), 10795–10800 (2005). [CrossRef]   [PubMed]  

26. N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010). [CrossRef]  

27. T. M. Floyd, Principles of Electric Circuits (Prentice Hall, 2010).

References

  • View by:
  • |
  • |
  • |

  1. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
    [Crossref]
  2. 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]
  3. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
    [Crossref] [PubMed]
  4. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
    [Crossref] [PubMed]
  5. S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
    [Crossref] [PubMed]
  6. V. M. Shalaev, W. Cai, U. K. Chettiar, H.-K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30(24), 3356–3358 (2005).
    [Crossref]
  7. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
    [Crossref] [PubMed]
  8. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
    [Crossref] [PubMed]
  9. N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
    [Crossref] [PubMed]
  10. J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
    [Crossref] [PubMed]
  11. F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
    [Crossref]
  12. J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
    [Crossref]
  13. R. Marqués, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications (Wiley, 2008).
  14. M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008).
    [Crossref]
  15. J. Han, J. Gu, X. Lu, M. He, Q. Xing, and W. Zhang, “Broadband resonant terahertz transmission in a composite metal-dielectric structure,” Opt. Express 17(19), 16527–16534 (2009).
    [Crossref] [PubMed]
  16. O. Paul, R. Beigang, and M. Rahm, “Highly selective terahertz bandpass filters based on trapped mode excitation,” Opt. Express 17(21), 18590–18595 (2009).
    [Crossref]
  17. N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
    [Crossref]
  18. N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
    [Crossref]
  19. I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
    [Crossref]
  20. J. Zhou, E. N. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31(24), 3620–3622 (2006).
    [Crossref] [PubMed]
  21. V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007).
    [Crossref]
  22. P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
    [Crossref] [PubMed]
  23. E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
    [Crossref]
  24. X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
    [Crossref]
  25. H. Gao, H. Shi, C. Wang, C. Du, X. Luo, Q. Deng, Y. Lv, X. Lin, and H. Yao, “Surface plasmon polariton propagation and combination in Y-shaped metallic channels,” Opt. Express 13(26), 10795–10800 (2005).
    [Crossref] [PubMed]
  26. N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
    [Crossref]
  27. T. M. Floyd, Principles of Electric Circuits (Prentice Hall, 2010).

2010 (2)

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

2009 (4)

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
[Crossref]

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

J. Han, J. Gu, X. Lu, M. He, Q. Xing, and W. Zhang, “Broadband resonant terahertz transmission in a composite metal-dielectric structure,” Opt. Express 17(19), 16527–16534 (2009).
[Crossref] [PubMed]

O. Paul, R. Beigang, and M. Rahm, “Highly selective terahertz bandpass filters based on trapped mode excitation,” Opt. Express 17(21), 18590–18595 (2009).
[Crossref]

2008 (3)

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008).
[Crossref]

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

2007 (2)

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007).
[Crossref]

2006 (4)

J. Zhou, E. N. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31(24), 3620–3622 (2006).
[Crossref] [PubMed]

E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
[Crossref]

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

2005 (4)

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

V. M. Shalaev, W. Cai, U. K. Chettiar, H.-K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30(24), 3356–3358 (2005).
[Crossref]

H. Gao, H. Shi, C. Wang, C. Du, X. Luo, Q. Deng, Y. Lv, X. Lin, and H. Yao, “Surface plasmon polariton propagation and combination in Y-shaped metallic channels,” Opt. Express 13(26), 10795–10800 (2005).
[Crossref] [PubMed]

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

2003 (1)

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

2000 (1)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

1999 (1)

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]

1996 (1)

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

1968 (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
[Crossref]

Bade, K.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Beigang, R.

Bonache, J.

M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008).
[Crossref]

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

Brueck, S. R. J.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

Cai, W.

Capasso, F.

E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
[Crossref]

Chettiar, U. K.

Crozier, K. B.

E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
[Crossref]

Cubukcu, E.

E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
[Crossref]

Decker, M.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Deng, Q.

Dong, X.

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

Drachev, V. P.

Du, C.

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

H. Gao, H. Shi, C. Wang, C. Du, X. Luo, Q. Deng, Y. Lv, X. Lin, and H. Yao, “Surface plasmon polariton propagation and combination in Y-shaped metallic channels,” Opt. Express 13(26), 10795–10800 (2005).
[Crossref] [PubMed]

Economon, E. N.

Eisler, H. J.

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

Falcone, F.

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

Fan, W.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

Frimmer, M.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
[Crossref]

Fu, L.

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Fu, L. W.

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

Gansel, J. K.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Gao, H.

Garcia-Garcia, J.

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

Giessen, H.

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Gil, I.

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

Gil, M.

M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008).
[Crossref]

Gu, J.

Guo, H.

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Guo, H. C.

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

Han, J.

He, M.

Hecht, B.

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

Holden, A. J.

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]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Jang, W. H.

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

Kaiser, S.

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Kildishev, A. V.

Koenderink, A. F.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
[Crossref]

Kort, E. A.

E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
[Crossref]

Koschny, T.

Lam, V. D.

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

Landy, N. I.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

Lee, Y. P.

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

Lin, X.

Linden, S.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Liu, N.

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Lu, X.

Lu, Y.

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

Luo, X.

Lv, Y.

Malloy, K. J.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

Marques, R.

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

Martel, J.

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

Martin, F.

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

Martin, O. J. F.

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

Martín, F.

M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008).
[Crossref]

Mock, J. J.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

Mühlschlegel, P.

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

Osgood, R. M.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

Padilla, W. J.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

Panoiu, N. C.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

Park, J. W.

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

Paul, O.

Pendry, J. B.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

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]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Pohl, D. W.

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

Rahm, M.

Rill, M. S.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Robbins, D. J.

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]

Saile, V.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Sajuyigbe, S.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

Sarychev, A. K.

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

Schweizer, H.

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Sersic, I.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
[Crossref]

Shalaev, V. M.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

Shi, H.

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

H. Gao, H. Shi, C. Wang, C. Du, X. Luo, Q. Deng, Y. Lv, X. Lin, and H. Yao, “Surface plasmon polariton propagation and combination in Y-shaped metallic channels,” Opt. Express 13(26), 10795–10800 (2005).
[Crossref] [PubMed]

Smith, D. R.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

Sorolla, M.

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

Soukoulis, C. M.

Stewart, W. J.

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]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Thiel, M.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Tung, N. T.

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

Velazquez-Ahumada, M. D.

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

Verhagen, E.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
[Crossref]

Veselago, V. G.

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
[Crossref]

von Freymann, G.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Wang, C.

Wegener, M.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

Wei, X.

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

Xing, Q.

Yao, H.

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Yuan, H.-K.

Zhang, S.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

Zhang, W.

Zhou, J.

Adv. Mater. (1)

N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mater. 19(21), 3628–3632 (2007).
[Crossref]

Appl. Phys. Lett. (2)

E. Cubukcu, E. A. Kort, K. B. Crozier, and F. Capasso, “Plasmonic laser antenna,” Appl. Phys. Lett. 89(9), 093120–093123 (2006).
[Crossref]

X. Wei, H. Shi, X. Dong, Y. Lu, and C. Du, “A high refractive index metamaterial at visible frequencies formed by stacked cut-wire plasmonic structures,” Appl. Phys. Lett. 97(1), 011904 (2010).
[Crossref]

IEEE Microw. Wirel. Compon. Lett. (1)

F. Martin, F. Falcone, J. Bonache, R. Marques, and M. Sorolla, “Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators,” IEEE Microw. Wirel. Compon. Lett. 13(12), 511–513 (2003).
[Crossref]

IEEE Trans. Microw. Theory Tech. (2)

J. Garcia-Garcia, J. Bonache, I. Gil, F. Martin, M. D. Velazquez-Ahumada, and J. Martel, “Miniaturized microstrip and CPW filters using coupled metamaterial resonators,” IEEE Trans. Microw. Theory Tech. 54(6), 2628–2635 (2006).
[Crossref]

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]

J. Korean Phys. Soc. (1)

N. T. Tung, J. W. Park, Y. P. Lee, V. D. Lam, and W. H. Jang, “Detailed numerical study of cut-wire pair structures,” J. Korean Phys. Soc. 56(41), 1291–1297 (2010).
[Crossref]

Metamaterials (Amst.) (1)

M. Gil, J. Bonache, and F. Martín, “Metamaterial filters: a review,” Metamaterials (Amst.) 2(4), 186–197 (2008).
[Crossref]

Nat. Mater. (1)

N. Liu, H. C. Guo, L. W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, “Three-dimensional photonic metamaterials at optical frequencies,” Nat. Mater. 7(1), 31–37 (2008).
[Crossref]

Nat. Photonics (1)

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007).
[Crossref]

Opt. Express (3)

Opt. Lett. (2)

Phys. Rev. Lett. (5)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005).
[Crossref] [PubMed]

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett. 103(21), 213902 (2009).
[Crossref]

Science (4)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325(5947), 1513–1515 (2009).
[Crossref] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

P. Mühlschlegel, H. J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, “Resonant optical antennas,” Science 308(5728), 1607–1609 (2005).
[Crossref] [PubMed]

Sov. Phys. Usp. (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
[Crossref]

Other (2)

R. Marqués, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications (Wiley, 2008).

T. M. Floyd, Principles of Electric Circuits (Prentice Hall, 2010).

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.


Figures (4)

Fig. 1
Fig. 1

Schematic of the coupled cut-wire pair structure. (a) Top view and (b) side view located at the dashed-dotted line marked in (a).

Fig. 2
Fig. 2

(a) Transmission spectra for the coupled cut-wire pairs and single cut-wire layer nanostructures. (b) Retrieved frequency dependent Real(μ) and Real(ε) for the coupled cut-wire pairs. The insert shows the retrieved frequency dependent Real(z).

Fig. 3
Fig. 3

Transmission spectra for (a) different Py values at a fixed P x = 300 nm, and (b) different Px values at a fixed P y = 120 nm, where other parameters are fixed as a = 160 nm, b = 40 nm, t m = 20 nm, and t d = 150 nm. Resonant frequency and 3 dB bandwidth of the coupled cut-wire pairs nanostructure as functions of (c) Py and (d) Px.

Fig. 4
Fig. 4

Resonant frequency and 3dB bandwidth of the single cut-wire layer nanostructure as functions of (a) Py and (b) Px. (c) and (d) The equivalent RLC circuits for magnetic and electric couplings. Insets in (a) and (b) are the resonant frequencies (RF) of the single cut-wire layer nanostructure as a function of central frequencies (CF) of the coupled cut-wire pair nanostructures at different Py and Px values.

Equations (2)

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

f = 1 2 π L C ,
B W = f Q = R t o t a l L ,

Metrics