Abstract

Asymmetric transmission (AT) is useful for polarization manipulation. We report narrowband AT that utilizes a triple-layered symmetric trimeric metasurface with near-field coupling of the dark mode of the Fano resonance. The coupling strength of the dark mode was tuned by using a mid-layer to break the dim AT between two slit layers. The peak transmission of linearly polarized waves and percentage bandwidth reached 0.7719 and 1.26% (numerical simulations) and 0.49 and 1.9% (experiments), respectively. Coupled-mode theory and field patterns are utilized to explain the underlying physical mechanisms of the mid-layer assisted field coupling. These results are useful for Fano-resonance-based devices.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

1. Introduction

Metamaterials with various meta-atoms [14] can be designed to exhibit unprecedented electromagnetic properties in many applications [59]. In particular, tailoring the polarization state of light for directionally asymmetric transmission (AT) can be useful for polarization rotators [10,11], circular polarizers [12,13], and polarization state filters [1416]. Many structures have been proposed by breaking the spatial inversion symmetry using artificial structures on the opposite sides of a metasurface [3] and an inserted Fabry–Perot cavity in order to achieve high-performance AT [17,18] in a relatively broad band. The narrow band devices have a significant advantage on selecting the signal and rejecting the noise and interference which may enter the receiver outside its bandwidth. Consequently, transmitter power levels can be low and the effective range of transmissions may be greater than that would typically be the case for technologies which do not provide such selectivity. For narrowband applications, it is difficult to realize AT devices requiring a narrow-band and high-quality factor for intrinsic loss of metallic materials and radiative damping [19,20], even AT devices based on the micro-ring nonlinear effect [21] and plasmonic grating have been proposed recently [22]. The Fano resonance, corresponding to the interference of a broad continuum resonance with a discrete state, has been of significant interest for plasmonic nanostructures [23,24], controllable and tunable materials and devices [2530], and metamaterials [26] operating over optical to microwave frequencies with asymmetric structures and even symmetric structures [31,32]. The high-Q Fano resonance enables the detection of small spectral shifts from minute quantities of analytes interacting with highly concentrated electric fields [33]. In general, the broad band mode in high-Q Fano resonance is sensitive to particularly polarized waves and the narrow band dark mode is non-radiative mode in common. Blocking the broad band mode and reserving the narrow band mode can naturally realize a narrow band AT. Thus, narrowband AT devices with the dark mode of the high-Q Fano resonance are of practical importance. Moreover, despite of numerous theoretical achievements by transmission matrix method have progressed [34,35], the underlying physics of AT is still far from satisfactory. Recently, L. Zhou proposed the coupling mode theory (CMT) for stacking metasurfaces and a complete phase diagram for dark-bright coupled plasmonic systems which provides a unified picture to understand AT based on metasurfaces [3638].

Here, we propose a tri-layered symmetric metasurface supporting narrowband AT based on Fano resonance. Polarization conversion in the transmission map was realized by employing the dark mode interaction between the tri-layered structure. The dark mode coupling was enhanced by inserting a mid-layer to break the nonexistent AT between two crossing slit layers. The AT parameters exhibited narrow bandwidth, both in numerical simulations and experimental measurements, in the microwave region. The underlying physical mechanisms based on the CMT theory reveal that the AT is realized by using the mid-layer to tune the coupling strength of the dark mode between two coupling modes. The realization of such narrowband AT offers opportunities for investigation of Fano-resonance-based devices over a sharp range of frequencies.

2. Theoretical analysis

We assumed that an incident plane wave propagates along the + z direction, and its electric field is defined as ${E_i}({r,t} )= {({{I_{x,}}{I_{y,}}} )^T}{e^{i({kz - \omega t} )}}$, with the annular frequency $\mathrm{\omega }$, wave vector k, and complex amplitudes Ix and Iy in the x and y directions, respectively. The transmitted electric field through the tri-layered structure can be described as ${E_t}({r,t} )= {({{T_{x,}}{T_{y,}}} )^T}{e^{i({kz - \omega t} )}}$. The complex amplitudes of the incident waves and transmitted waves can be linked by the T matrix [34]

$$\left( \begin{array}{l} {T_x}\\ {T_y} \end{array} \right) = \left( {\begin{array}{cc} {{T_{xx}}}&{{T_{xy}}}\\ {{T_{yx}}}&{{T_{yy}}} \end{array}} \right)\left( \begin{array}{l} {I_x}\\ {I_y} \end{array} \right) = T_{lin}^f\left( \begin{array}{l} {I_x}\\ {I_y} \end{array} \right)$$
where superscript f denotes propagation in the forward (+z) direction. These components (${T_{xx}}$,${T_{xy}}$,${T_{yx}}$,${T_{yy}}$) obey fixed relations for certain symmetries of the dielectric. For a medium made of reciprocal materials, by applying the reciprocity theorem, a four-port system renders the T matrix for the backward propagation
$$T = \left( {\begin{array}{cc} {{T_{xx}}}&{-{T_{yx}}}\\ {-{T_{xy}}}&{{T_{yy}}} \end{array}} \right)$$
From Eqs. (1) and (2), the AT for a certain polarization state can be defined as the difference between the transmittances in the two different propagation directions. For a linearly polarized wave, the AT parameters can be expressed as [35]
$$\Delta _{lin}^x = {|{T_{xx}^f} |^2} + {|{T_{yx}^f} |^2} - {|{T_{xx}^b} |^2} - {|{T_{xy}^f} |^2} = {|{T_{yx}^f} |^2} - {|{T_{xy}^f} |^2}$$
$$\Delta _{lin}^y = {|{T_{yy}^f} |^2} + {|{T_{xy}^f} |^2} - {|{T_{yy}^b} |^2} - {|{T_{xy}^b} |^2} = {|{T_{xy}^f} |^2} - {|{T_{yx}^f} |^2}$$
In the above, superscripts b and f denote propagation in the backward (-z) and forward (+z) directions, respectively. From Eqs. (3) and (4), we conclude that $\Delta _{lin}^x$=-$\Delta _{lin}^y$.

3. Physical model and AT characteristics

Figure 1 schematically shows the fabricated sample of the metasurface and the experimental setup. In the cell, three copper layers (period, p = 15 mm) are bonded with a dielectric substrate in vacuum. The top (bottom) layer in Fig. 1(a) (Fig. 1(c)) emerges as trimmers along the y(x)-direction, and the mid-layer in Fig. 1(c) exhibits double-L-shaped slits. The dielectric layer is made up of F4B with the optimal thickness t = 2 mm and permittivity $\varepsilon $ = 2.6, and the tangential loss is tan $\mathrm{\delta }$ = 0.002. The three rectangular slits in the top and bottom layers have the same dimensions (w = 1.8 mm, h = 9 mm, d = 3 mm). The double-L-shaped slits in the mid-layer have the dimensions w = 1.8 mm, length l, and the gaps between the slits and borders are given by g = (p-2d-w)/2. Here, we define m = $l/h$ = 0.44 as a proportionality factor. The dashed ‘L’ shapes denote the shadows of the mid-layer on the top and bottom layers. Figure 1(d) shows the combined view of the cell with three copper layers. The magnetic field H, the wave vector k, and the electric field E of the incident plane wave are oriented in the y, z and x directions, respectively. The positive z direction is considered as the forward direction. Commercial simulation software (CST MICROWAVE STUDIO, Germany) was used for numerical simulations in the 8–12 GHz range of frequencies, by using periodic boundary conditions along the x and y directions and an open boundary condition for the z direction, and the minimum grid interval of the mesh is w/10. Figure 1(e) shows the metasurface array sample fabricated using the standard printed circuit board technique. The sample consists of 12 × 12 unit cells with 180 × 180 mm2 stacked three-layer copper metasurfaces. The 3-D device are assembled by combining the two layers together with several bolts. As is schematically shown in Fig. 1(f), the measurements were made in an anechoic chamber, where the sample was settled between two horn antennas linked to the ports of a vector network analyzer (Agilent N5230C) by 50 Ω coaxial cables. To ensure the illumination of a linear plane wave in Fig. 1(d), the distance between the two antennas was maintained at ∼1300 mm, and the slits of the top layer metasurface were settled as shown in Fig. 1(e).

 

Fig. 1. Schematic of (a) the top layer, (b) the double-L-shaped mid-layer, (c) the bottom layer, and (d) the combination unit cell with (a) to (c). (e) Profile of the fabricated sample and (f) the experimental setup.

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After the optimization of geometric parameters, transmission matrix elements ($T_{yx}^f$, $T_{xy}^f$) were obtained and are shown in Fig. 2(a). There exists one significant peak for $T_{yx}^f$ that reaches 0.7719 at the frequency of 10.252 GHz for proportionality factor m = 0.44. While $T_{xy}^f\; $ is suppressed nearly to zero throughout the entire range, it remains weak and exhibits a slight trend, compared with $T_{yx}^f$. The obviously different cross-polarization across the entire frequency range may contribute to the strong AT effect and polarization conversion. From Fig. 2(a), when the x-polarized wave is normally incident on the structure along the positive z direction, the wave is well-coupled to the structure and is converted mostly into a y-polarized wave. However, a y-polarized wave traveling through the structure in the forward direction can hardly couple with the structure. Furthermore, to verify the results of numerical simulations, the corresponding experimental results are shown in Fig. 2(b), revealing that the experimental data exhibit a roughly consistent frequency response. The transmission of a linearly polarized wave and the percentage bandwidth reached 0.7719 and 1.26% in numerical simulations and 0.49 and 1.9% in experiments, respectively.

 

Fig. 2. AT coefficients $T_{yx}^f$, $T_{xy}^f$ for different linearly polarized waves, for (a) simulations and (b) experimental tests in the forward direction. (c) Simulated AT spectra and (d) experimental AT spectra.

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The value of the AT parameter ${\Delta ^y} = {|{T_{xy}^f} |^2} - {|{T_{yx}^f} |^2}$ for the forward-propagating wave is equivalent to ${|{T_{xy}^b} |^2} - {|{T_{yx}^b} |^2}$ for the backward-propagating wave. Therefore, only the AT parameters for the forward wave are illustrated in Figs. 2(c) and 2(d). Obviously, the peaks reach 0.5958 and 0.237 for the frequencies of 10.252 GHz and 10.46 GHz, in simulations (Fig. 2(c)) and experiments (Fig. 2(d)). These results indicate that for the forward propagation direction, an x-polarized wave can transform into a y-polarized wave in a sharp range of frequencies.

Compared with the simulated transmission matrix elements and AT parameters with only one peak in Fig. 2(a) and 2(c), the spectral lines of the experimental results split into two peaks in Figs. 2(b) and 2(d). The 3-D metamaterials are fabricated by combining two F4B board together with bolts. The unavoidable offsets between two layers brings about the bias of m which generates the peak splitting. The underlying physical mechanisms of the tunability of m will be discussed in the following section. Moreover, the tangential loss of the F4B materials may have higher values than that of in simulation tanδ = 0.002. Therefore, the inevitable errors lead to the total deviation between simulation and experimental results.

To validate the critical role of the double-L-shaped layer in forming narrowband AT, the corresponding transmission matrix elements for a structure without the mid-layer are illustrated in Figs. 3(a) and 3(b), respectively. Obviously, in Fig. 3(a),$\textrm{\; }$ all of the transmission coefficients exhibit no sharp peaks in the entire range, except a tiny bump for $T_{yx}^f$. In Fig. 3(b), the trend lines reveal that a linearly polarized wave does not change direction passing through the structure. This confirms the indispensable role of the double-L-shaped layer in narrowband AT, notwithstanding the presence of interference, noise, and fabrication/measurement errors in the experimental results.

 

Fig. 3. (a) Simulated and (b) experimental transmission maps, for a structure without the double-L-shaped layer.

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4. Analysis of the underlying mechanism

Before explaining the mechanism of the sharp AT effect, the Fano resonance in the trimeric system was generated owing to the interference between the antiphase dark and the in-phase bright modes of the stripes in our previous work [39]. In Fig. 4, according to Babinet’s principle, an x-polarized plane wave incident onto the metasurface can also stimulate the Fano resonance by two modes with different phases. The frequencies of Fano resonance are very sensitive to the geometric parameters and the permittivity of the medium. The schematic of Fig. 4 is totally different with the combination unit cell in Fig. 1(d). It is not rigorous to focus the Fano frequency as evidence of AT instead of the field distribution. Hence, the in-phase bright mode (+ + +) with a broad band and the antiphase dark mode (+ $- $ +) with a narrow band are indicated in the inset field maps in Fig. 4. The broad band bright mode has same phases at the ends of the three strips or slits, which is like a dipole mode induced by linear polarized wave. The bright mode is only sensitive to the corresponding linear polarized wave. A typically asymmetric line of Fano resonance is clearly shown that the broad band bright mode interferes with the antiphase dark mode, the phase spectra with red color represents a π-phase difference in the Fano resonance frequency. A linearly polarized wave is hardly transmitted through the crossing trimeric metasurface without a middle layer, as shown in Fig. 3, even for the dark-mode point; this is because the broad-band bright mode of the polarized wave can hardly be rotated without coupling units.

 

Fig. 4. Fano resonance for a symmetric trimeric metasurface.

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Herein, the middle layer was confirmed to play an important role in the AT. To examine the physical origin of this narrowband AT effect, the plane wave-induced current density and magnetic field Hy distributions at 10.252 GHz are shown in detail in Fig. 5. Figure 5(a) shows that groups of vectors marked with black arrows distribute along the center line, and a vortex current is observed to generate the magnetic field Hy in the figure below. The antiphase dark mode of the sharp Fano resonance is induced by the plane wave on the top layer. The profiles of the mode are similar with that of shown in Fig. 4. The same vortex current pierces the top layer and couples to the top surface of the middle layer in Fig. 5(b). On the other hand, the distributions of the current vectors and magnetic field on the bottom surface of the middle layer are almost rotated by 90° in the plane in Fig. 5(c). Therefore, a similar coupled vortex current generates the antiphase dark mode in the bottom layer. The polarized wave Hy becomes Hx. This mechanism suggests that sharp-band AT strongly depends on the length of the elaborated ‘L’ shape. In the following, we further pinpoint the AT evolution with respect to the proportionality factor m.

 

Fig. 5. The current density vector and magnetic field distributions at 10.252 GHz for (a) z = −2.019 mm relative to the bottom layer, (b) z = −0.019 mm relative to the top surface of the middle layer, (c) z = 0.019 mm relative to the bottom surface of the middle layer and (d) z = 2.019 mm relative to the top layer.

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In Fig. 6, transmittance is quantified as a function of m. A clear sharp AT transmission band appears in Fig. 6 with an appropriate m. From the schematic in Fig. 1(a) with dashed lines, three regimes can be identified, depending on l (m). In cases where l is smaller than d or close to d (m < 0.33), the coupling between the electric field and the middle slit of the bottom layer is quite weak. Neither the broad-band bright mode nor the dark mode is motivated in the bottom layer. The energy leak owing to the ‘L’ shape yields minor transmission, as shown in Fig. 6(b) for m = 0.36. As l increases to d + w (0.33 < m < 0.43), the ‘L’ shape starts to overlap with the middle slits of both the top and bottom layers. Only the dark mode in the middle slits, which has the antiphase field and vortex current characteristics as shown in Fig. 5, can convert the x-polarized wave from the top layer into the y-polarized wave passing through the bottom layer. Transmission attains a peak value of 0.7719 for m = 0.44, as shown in Fig. 6(b). However, the transmission lines split into two peaks and the band width are enlarged in Figs. 6(a) and 6(b), as l continues to increase (m = 0.48, 0.52).

 

Fig. 6. Transmittance obtained by varying m (a) simulated transmission as a function of m, (b) transmission plots for different m and (c) comparison of transmission obtained by simulation (black) and CMT method (red).

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For further explore the underlying physical mechanisms, we employ the CMT model to exhibit the independently controlled transmission properties due to the parameter m [3739]. Noting that the metallic mesh can well block electromagnetic waves at frequencies below 20 GHz, thus severing as an optically opaque background for the whole system, and the trimeric slits of the two layers provide Fano resonances. We can describe such a system as a two-port model with two resonators embedded inside the background. According to the CMT method, the time evolution of the amplitudes of the two resonant modes are governed by the following equations [37].

$$\frac{\textrm{1}}{{\textrm{2}\pi }}\frac{d}{{dt}}\left( {\begin{array}{c} {{a_1}}\\ {{a_2}} \end{array}} \right) = \left[ {\textrm{i}\left( {\begin{array}{cc} {{f_0}}&\mathit{\boldsymbol{K}}\\ \mathit{\boldsymbol{K}}&{{f_0}} \end{array}} \right) + \left( {\begin{array}{cc} { - {\Gamma _ - }}&0\\ 0&{ - {\Gamma _ + }} \end{array}} \right) + \left( {\begin{array}{cc} { - {\Gamma _a}}&0\\ 0&{ - {\Gamma _a}} \end{array}} \right)} \right]\left( {\begin{array}{c} {{a_1}}\\ {{a_2}} \end{array}} \right)$$
where ${\mathrm{\Gamma }_ + }$ and ${\mathrm{\Gamma }_ - }$ are the radiation decay rates of the two collective modes, ${\mathrm{\Gamma }_a}$ is the absorptive decay rates. The fitting parameters ${\mathrm{\Gamma }_ + }$, ${\mathrm{\Gamma }_ - }$, and ${\mathrm{\Gamma }_a}$ are normalized by the resonant frequency of the mode supported by a single resonator ${f_0}$. These two resonators can couple with each other through near-field coupling with a strength of K. The transmission coefficients t is simply given by
$$t = \frac{{{\Gamma _ + }}}{{i(f - (1 + K)) + {\Gamma _ + } + {\Gamma _a}}} - \frac{{{\Gamma _ - }}}{{i(f - (1 - K)) + {\Gamma _ - } + {\Gamma _a}}}$$
The fitting parameters are retrieved by the fitting the CMT curves with their simulation counterpart. In Fig. 6(c), three transmission coefficients depicted in Fig. 6(c) are well described by the CMT through carefully determining the four fitting parameters. We find that the fitting parameters should be set as (${f_0}$ = 10.2295, ${\mathrm{\Gamma }_ + }$ = 0.0373, ${\mathrm{\Gamma }_ - }$ = 0.0403, ${\mathrm{\Gamma }_a}$ = 0.0044 and K = 0.0042) with m=0.33, (${f_0}$ = 10.2442, ${\mathrm{\Gamma }_ + }$ = 0.0351, ${\mathrm{\Gamma }_ - }$ = 0.0245, ${\mathrm{\Gamma }_a}$ = 0.0086 and K = 0.0323) with m=0.44 and (${f_0}$ = 10.1233, ${\mathrm{\Gamma }_ + }$ = 0.0223, ${\mathrm{\Gamma }_ - }$ = 0.0416, ${\mathrm{\Gamma }_a}$ = 0.0184 and K = 0.1224) with m=0.52, all in units of GHz. The transmission spectra computed via Eq. (6) with above fitting parameters are plotted in Fig. 6(c) respectively. The fitting results are in good agreement with the simulation results. To explore the underlying physics more clearly, we examine the fitting parameters finely and then find $K \ll {f_0}$, indicating a weak coupling between resonators in neighboring layers. The significant increasement of K signifies the coupling strength is tuned dramatically by the parameter m. On the contrary, the minor increasement of ${\mathrm{\Gamma }_a}$ means the tiny increasing absorptive loss. Therefore, adjusting the parameter m of the middle layer can tune the coupling strength of the dark mode to realize a narrow band AT.

5. Conclusions

A triple-layered Babinet metasurface structure with a double-L-shaped slit was designed. This structure supports narrowband AT and exhibits a high peak value, indicating that it is able to convert a forward-propagating x-polarized waves into a y-polarized waves or convert a backward-propagating y-polarized waves into an x-polarized waves. This proposed structure can be categorized as a reciprocal medium. Based on the Fano resonance phenomenon, a magnetic dark mode was induced in the top trimeric metasurface when forward-propagating x-polarized electromagnetic waves illuminated the structure. This magnetic dipole was rotated by 90° with double-L-shaped slits on the mid-layer surface. Then, coupling with the dark mode in the slits at the bottom metasurface yielded the outward propagation of linearly y-polarized waves from the metasurface structure. Finally, we utilized the CMT to explain the underlying physical mechanisms of AT. The coupling strength between the two modes of two layers plays an important role on AT management. The currently proposed structure supports narrowband AT and can be used in filters, polarization switches, and wavelength division multiplexers.

Funding

National Natural Science Foundation of China (11965009, 61761010, 61764001, 61765004); Natural Science Foundation of Guangxi Province (2018GXNSFAA281193, 2018JJA170010).

Disclosures

The authors declare no conflicts of interest.

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35. R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009). [CrossRef]  

36. Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020). [CrossRef]  

37. B. Yang, T. Liu, H. Guo, S. Xiao, and L. Zhou, “High-performance meta-devices based on multilayer meta-atoms: interplay between the number of layers and phase coverage,” Sci. Bull. 64(12), 823–835 (2019). [CrossRef]  

38. W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020). [CrossRef]  

39. Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016). [CrossRef]  

References

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  1. A. Artar, A. A. Yanik, and H. Altug, “Multispectral plasmon induced transparency in coupled meta-atoms,” Nano Lett. 11(4), 1685–1689 (2011).
    [Crossref]
  2. V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007).
    [Crossref]
  3. C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
    [Crossref]
  4. Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
    [Crossref]
  5. J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
    [Crossref]
  6. X. Zhang and Z. Liu, “Superlenses to overcome the diffraction limit,” Nat. Mater. 7(6), 435–441 (2008).
    [Crossref]
  7. N. Landy and D. R. Smith, “A full-parameter unidirectional metamaterial cloak for microwaves,” Nat. Mater. 12(1), 25–28 (2013).
    [Crossref]
  8. Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
    [Crossref]
  9. E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
    [Crossref]
  10. Y. Ye and S. He, “90° polarization rotator using a bilayered chiral metamaterial with giant optical activity,” Appl. Phys. Lett. 96(20), 203501 (2010).
    [Crossref]
  11. M. Mutlu and E. Ozbay, “A transparent 90° polarization rotator by combining chirality and electromagnetic wave tunneling,” Appl. Phys. Lett. 100(5), 051909 (2012).
    [Crossref]
  12. 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]
  13. Y. Zhao, M. A. Belkin, and A. Alu, “Twisted optical metamaterials for planarized ultrathin broadband circular polarizers,” Nat. Commun. 3(1), 870 (2012).
    [Crossref]
  14. J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
    [Crossref]
  15. N. I. Zheludev, E. Plum, and V. A. Fedotov, “Metamaterial polarization spectral filter: Isolated transmission line at any prescribed wavelength,” Appl. Phys. Lett. 99(17), 171915 (2011).
    [Crossref]
  16. J. H. Shi, H. F. Ma, W. X. Jiang, and T. J. Cui, “Multiband stereometamaterial-based polarization spectral filter,” Phys. Rev. B 86(3), 035103 (2012).
    [Crossref]
  17. C. Pfeiffer, C. Zhang, V. Ray, L. J. Guo, and A. Grbic, “High performance bianisotropic metasurfaces: asymmetric transmission of light,” Phys. Rev. Lett. 113(2), 023902 (2014).
    [Crossref]
  18. D. F. Tang, C. Wang, W. K. Pan, M. H. Li, and J. F. Dong, “Broad dual-band asymmetric transmission of circular polarized waves in near-infrared communication band,” Opt. Express 25(10), 11329–11339 (2017).
    [Crossref]
  19. L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, and M. Qi, “An all-silicon passive optical diode,” Science 335(6067), 447–450 (2012).
    [Crossref]
  20. C. Ba, L. Huang, W. Liu, S. Li, Y. Ling, and H. Li, “Narrow-band and high-contrast asymmetric transmission based on metal-metal-metal asymmetric gratings,” Opt. Express 27(18), 25107–25118 (2019).
    [Crossref]
  21. G. Zheng, H. Muhlenbernd, M. Kenney, G. Li, T. Zentgraf, and S. Zhang, “Metasurface holograms reaching 80% efficiency,” Nat. Nanotechnol. 10(4), 308–312 (2015).
    [Crossref]
  22. Y. Ling, L. Huang, W. Hong, T. Liu, L. Jing, W. Liu, and Z. Wang, “Polarization-switchable and wavelength-controllable multi-functional metasurface for focusing and surface-plasmon-polariton wave excitation,” Opt. Express 25(24), 29812–29821 (2017).
    [Crossref]
  23. P. Gu, M. Wan, W. Wu, Z. Chen, and Z. Wang, “Excitation and tuning of Fano-like cavity plasmon resonances in dielectric-metal core-shell resonators,” Nanoscale 8(19), 10358–10363 (2016).
    [Crossref]
  24. G. Dayal, X. Y. Chin, C. Soci, and R. Singh, “High-Q whispering-gallery-mode-based plasmonic Fano resonances in coupled metallic metasurfaces at near infrared frequencies,” Adv. Opt. Mater. 4(8), 1295–1301 (2016).
    [Crossref]
  25. N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
    [Crossref]
  26. M. Manjappa, Y. K. Srivastava, L. Cong, I. Al-Naib, and R. Singh, “Active photoswitching of sharp Fano resonances in THz metadevices,” Adv. Mater. 29(3), 1603355 (2017).
    [Crossref]
  27. Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
    [Crossref]
  28. F. Xiao, W. Zhu, W. Shang, T. Mei, M. Premaratne, and J. Zhao, “Electrical control of second harmonic generation in a graphene-based plasmonic Fano structure,” Opt. Express 23(3), 3236–3244 (2015).
    [Crossref]
  29. G. D. Liu, X. Zhai, L. L. Wang, B. X. Wang, Q. Lin, and X. J. Shang, “Actively tunable Fano resonance based on a T-shaped graphene nanodimer,” Plasmonics 11(2), 381–387 (2016).
    [Crossref]
  30. Y. Yu, H. Hu, L. K. Oxenlowe, K. Yvind, and J. Mork, “Ultrafast all-optical modulation using a photonic-crystal Fano structure with broken symmetry,” Opt. Lett. 40(10), 2357–2360 (2015).
    [Crossref]
  31. S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
    [Crossref]
  32. S. Karmakar, D. Kumar, R. Varshney, and D. Chowdhury, “Lattice-induced plasmon hybridization in metamaterials,” Opt. Lett. 45(13), 3386 (2020).
    [Crossref]
  33. S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
    [Crossref]
  34. C. Menzel, C. Rockstuhl, and F. Lederer, “Advanced Jones calculus for the classification of periodic metamaterials,” Phys. Rev. A 82(5), 053811 (2010).
    [Crossref]
  35. R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009).
    [Crossref]
  36. Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020).
    [Crossref]
  37. B. Yang, T. Liu, H. Guo, S. Xiao, and L. Zhou, “High-performance meta-devices based on multilayer meta-atoms: interplay between the number of layers and phase coverage,” Sci. Bull. 64(12), 823–835 (2019).
    [Crossref]
  38. W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
    [Crossref]
  39. Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016).
    [Crossref]

2020 (3)

S. Karmakar, D. Kumar, R. Varshney, and D. Chowdhury, “Lattice-induced plasmon hybridization in metamaterials,” Opt. Lett. 45(13), 3386 (2020).
[Crossref]

Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020).
[Crossref]

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
[Crossref]

2019 (3)

B. Yang, T. Liu, H. Guo, S. Xiao, and L. Zhou, “High-performance meta-devices based on multilayer meta-atoms: interplay between the number of layers and phase coverage,” Sci. Bull. 64(12), 823–835 (2019).
[Crossref]

S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
[Crossref]

C. Ba, L. Huang, W. Liu, S. Li, Y. Ling, and H. Li, “Narrow-band and high-contrast asymmetric transmission based on metal-metal-metal asymmetric gratings,” Opt. Express 27(18), 25107–25118 (2019).
[Crossref]

2018 (2)

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

2017 (5)

E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
[Crossref]

D. F. Tang, C. Wang, W. K. Pan, M. H. Li, and J. F. Dong, “Broad dual-band asymmetric transmission of circular polarized waves in near-infrared communication band,” Opt. Express 25(10), 11329–11339 (2017).
[Crossref]

M. Manjappa, Y. K. Srivastava, L. Cong, I. Al-Naib, and R. Singh, “Active photoswitching of sharp Fano resonances in THz metadevices,” Adv. Mater. 29(3), 1603355 (2017).
[Crossref]

Y. Ling, L. Huang, W. Hong, T. Liu, L. Jing, W. Liu, and Z. Wang, “Polarization-switchable and wavelength-controllable multi-functional metasurface for focusing and surface-plasmon-polariton wave excitation,” Opt. Express 25(24), 29812–29821 (2017).
[Crossref]

S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
[Crossref]

2016 (5)

G. D. Liu, X. Zhai, L. L. Wang, B. X. Wang, Q. Lin, and X. J. Shang, “Actively tunable Fano resonance based on a T-shaped graphene nanodimer,” Plasmonics 11(2), 381–387 (2016).
[Crossref]

P. Gu, M. Wan, W. Wu, Z. Chen, and Z. Wang, “Excitation and tuning of Fano-like cavity plasmon resonances in dielectric-metal core-shell resonators,” Nanoscale 8(19), 10358–10363 (2016).
[Crossref]

G. Dayal, X. Y. Chin, C. Soci, and R. Singh, “High-Q whispering-gallery-mode-based plasmonic Fano resonances in coupled metallic metasurfaces at near infrared frequencies,” Adv. Opt. Mater. 4(8), 1295–1301 (2016).
[Crossref]

Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
[Crossref]

Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016).
[Crossref]

2015 (4)

F. Xiao, W. Zhu, W. Shang, T. Mei, M. Premaratne, and J. Zhao, “Electrical control of second harmonic generation in a graphene-based plasmonic Fano structure,” Opt. Express 23(3), 3236–3244 (2015).
[Crossref]

G. Zheng, H. Muhlenbernd, M. Kenney, G. Li, T. Zentgraf, and S. Zhang, “Metasurface holograms reaching 80% efficiency,” Nat. Nanotechnol. 10(4), 308–312 (2015).
[Crossref]

N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
[Crossref]

Y. Yu, H. Hu, L. K. Oxenlowe, K. Yvind, and J. Mork, “Ultrafast all-optical modulation using a photonic-crystal Fano structure with broken symmetry,” Opt. Lett. 40(10), 2357–2360 (2015).
[Crossref]

2014 (1)

C. Pfeiffer, C. Zhang, V. Ray, L. J. Guo, and A. Grbic, “High performance bianisotropic metasurfaces: asymmetric transmission of light,” Phys. Rev. Lett. 113(2), 023902 (2014).
[Crossref]

2013 (3)

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
[Crossref]

N. Landy and D. R. Smith, “A full-parameter unidirectional metamaterial cloak for microwaves,” Nat. Mater. 12(1), 25–28 (2013).
[Crossref]

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

2012 (4)

M. Mutlu and E. Ozbay, “A transparent 90° polarization rotator by combining chirality and electromagnetic wave tunneling,” Appl. Phys. Lett. 100(5), 051909 (2012).
[Crossref]

L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, and M. Qi, “An all-silicon passive optical diode,” Science 335(6067), 447–450 (2012).
[Crossref]

Y. Zhao, M. A. Belkin, and A. Alu, “Twisted optical metamaterials for planarized ultrathin broadband circular polarizers,” Nat. Commun. 3(1), 870 (2012).
[Crossref]

J. H. Shi, H. F. Ma, W. X. Jiang, and T. J. Cui, “Multiband stereometamaterial-based polarization spectral filter,” Phys. Rev. B 86(3), 035103 (2012).
[Crossref]

2011 (2)

N. I. Zheludev, E. Plum, and V. A. Fedotov, “Metamaterial polarization spectral filter: Isolated transmission line at any prescribed wavelength,” Appl. Phys. Lett. 99(17), 171915 (2011).
[Crossref]

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

2010 (3)

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

Y. Ye and S. He, “90° polarization rotator using a bilayered chiral metamaterial with giant optical activity,” Appl. Phys. Lett. 96(20), 203501 (2010).
[Crossref]

C. Menzel, C. Rockstuhl, and F. Lederer, “Advanced Jones calculus for the classification of periodic metamaterials,” Phys. Rev. A 82(5), 053811 (2010).
[Crossref]

2009 (2)

R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (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]

2008 (1)

X. Zhang and Z. Liu, “Superlenses to overcome the diffraction limit,” Nat. Mater. 7(6), 435–441 (2008).
[Crossref]

2007 (1)

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

Al-Naib, I.

M. Manjappa, Y. K. Srivastava, L. Cong, I. Al-Naib, and R. Singh, “Active photoswitching of sharp Fano resonances in THz metadevices,” Adv. Mater. 29(3), 1603355 (2017).
[Crossref]

Altug, H.

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

Alu, A.

Y. Zhao, M. A. Belkin, and A. Alu, “Twisted optical metamaterials for planarized ultrathin broadband circular polarizers,” Nat. Commun. 3(1), 870 (2012).
[Crossref]

Artar, A.

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

Azad, A. K.

R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009).
[Crossref]

Ba, C.

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]

Banerjee, S.

S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
[Crossref]

Belkin, M. A.

Y. Zhao, M. A. Belkin, and A. Alu, “Twisted optical metamaterials for planarized ultrathin broadband circular polarizers,” Nat. Commun. 3(1), 870 (2012).
[Crossref]

Brady, D.

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

Cao, Y.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Chen, W.-J.

Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
[Crossref]

Chen, X.-D.

Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
[Crossref]

Chen, Z.

P. Gu, M. Wan, W. Wu, Z. Chen, and Z. Wang, “Excitation and tuning of Fano-like cavity plasmon resonances in dielectric-metal core-shell resonators,” Nanoscale 8(19), 10358–10363 (2016).
[Crossref]

Cheng, X.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

Cheville, R. A.

R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009).
[Crossref]

Chi, Y.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Chin, X. Y.

G. Dayal, X. Y. Chin, C. Soci, and R. Singh, “High-Q whispering-gallery-mode-based plasmonic Fano resonances in coupled metallic metasurfaces at near infrared frequencies,” Adv. Opt. Mater. 4(8), 1295–1301 (2016).
[Crossref]

Chowdhury, D.

S. Karmakar, D. Kumar, R. Varshney, and D. Chowdhury, “Lattice-induced plasmon hybridization in metamaterials,” Opt. Lett. 45(13), 3386 (2020).
[Crossref]

S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
[Crossref]

Cong, L.

M. Manjappa, Y. K. Srivastava, L. Cong, I. Al-Naib, and R. Singh, “Active photoswitching of sharp Fano resonances in THz metadevices,” Adv. Mater. 29(3), 1603355 (2017).
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S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
[Crossref]

Cui, T. J.

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
[Crossref]

J. H. Shi, H. F. Ma, W. X. Jiang, and T. J. Cui, “Multiband stereometamaterial-based polarization spectral filter,” Phys. Rev. B 86(3), 035103 (2012).
[Crossref]

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N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
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G. Dayal, X. Y. Chin, C. Soci, and R. Singh, “High-Q whispering-gallery-mode-based plasmonic Fano resonances in coupled metallic metasurfaces at near infrared frequencies,” Adv. Opt. Mater. 4(8), 1295–1301 (2016).
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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).
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Deng, J.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Deng, Z.-L.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
[Crossref]

Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016).
[Crossref]

Dong, J. F.

Dong, J.-W.

Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
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J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

Fan, L.

L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, and M. Qi, “An all-silicon passive optical diode,” Science 335(6067), 447–450 (2012).
[Crossref]

Fedotov, V. A.

N. I. Zheludev, E. Plum, and V. A. Fedotov, “Metamaterial polarization spectral filter: Isolated transmission line at any prescribed wavelength,” Appl. Phys. Lett. 99(17), 171915 (2011).
[Crossref]

Fu, T.

Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016).
[Crossref]

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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]

Grbic, A.

C. Pfeiffer, C. Zhang, V. Ray, L. J. Guo, and A. Grbic, “High performance bianisotropic metasurfaces: asymmetric transmission of light,” Phys. Rev. Lett. 113(2), 023902 (2014).
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P. Gu, M. Wan, W. Wu, Z. Chen, and Z. Wang, “Excitation and tuning of Fano-like cavity plasmon resonances in dielectric-metal core-shell resonators,” Nanoscale 8(19), 10358–10363 (2016).
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E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
[Crossref]

Guo, H.

Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020).
[Crossref]

B. Yang, T. Liu, H. Guo, S. Xiao, and L. Zhou, “High-performance meta-devices based on multilayer meta-atoms: interplay between the number of layers and phase coverage,” Sci. Bull. 64(12), 823–835 (2019).
[Crossref]

Guo, L. J.

C. Pfeiffer, C. Zhang, V. Ray, L. J. Guo, and A. Grbic, “High performance bianisotropic metasurfaces: asymmetric transmission of light,” Phys. Rev. Lett. 113(2), 023902 (2014).
[Crossref]

He, Q.

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
[Crossref]

He, S.

Y. Ye and S. He, “90° polarization rotator using a bilayered chiral metamaterial with giant optical activity,” Appl. Phys. Lett. 96(20), 203501 (2010).
[Crossref]

Helgert, C.

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

Hong, W.

Hu, H.

Huang, L.

Huang, Q.

S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
[Crossref]

Huang, W.

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
[Crossref]

Hunt, J.

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

Jiang, W. X.

J. H. Shi, H. F. Ma, W. X. Jiang, and T. J. Cui, “Multiband stereometamaterial-based polarization spectral filter,” Phys. Rev. B 86(3), 035103 (2012).
[Crossref]

Jing, L.

Kamble, G.

S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
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Karmakar, S.

S. Karmakar, D. Kumar, R. Varshney, and D. Chowdhury, “Lattice-induced plasmon hybridization in metamaterials,” Opt. Lett. 45(13), 3386 (2020).
[Crossref]

S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
[Crossref]

Kenney, M.

G. Zheng, H. Muhlenbernd, M. Kenney, G. Li, T. Zentgraf, and S. Zhang, “Metasurface holograms reaching 80% efficiency,” Nat. Nanotechnol. 10(4), 308–312 (2015).
[Crossref]

Khanikaev, A. B.

N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
[Crossref]

Kholmanov, I.

N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
[Crossref]

Kim, S. M.

E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
[Crossref]

Kley, E. B.

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

Kumar, D.

S. Karmakar, D. Kumar, R. Varshney, and D. Chowdhury, “Lattice-induced plasmon hybridization in metamaterials,” Opt. Lett. 45(13), 3386 (2020).
[Crossref]

S. Karmakar, S. Banerjee, D. Kumar, G. Kamble, R. Varshney, and D. Chowdhury, “Deep-Subwavelength Coupling-Induced Fano Resonances in Symmetric Terahertz Metamaterials,” Phys. Status Solidi RRL 13(10), 1900310 (2019).
[Crossref]

Kung, P.

E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
[Crossref]

Landy, N.

N. Landy and D. R. Smith, “A full-parameter unidirectional metamaterial cloak for microwaves,” Nat. Mater. 12(1), 25–28 (2013).
[Crossref]

Lederer, F.

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

C. Menzel, C. Rockstuhl, and F. Lederer, “Advanced Jones calculus for the classification of periodic metamaterials,” Phys. Rev. A 82(5), 053811 (2010).
[Crossref]

R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009).
[Crossref]

Li, G.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

G. Zheng, H. Muhlenbernd, M. Kenney, G. Li, T. Zentgraf, and S. Zhang, “Metasurface holograms reaching 80% efficiency,” Nat. Nanotechnol. 10(4), 308–312 (2015).
[Crossref]

Li, H.

Li, K.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Li, M. H.

Li, S.

Li, X.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

Li, Y.

Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020).
[Crossref]

S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
[Crossref]

Lin, J.

Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020).
[Crossref]

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
[Crossref]

Lin, Q.

G. D. Liu, X. Zhai, L. L. Wang, B. X. Wang, Q. Lin, and X. J. Shang, “Actively tunable Fano resonance based on a T-shaped graphene nanodimer,” Plasmonics 11(2), 381–387 (2016).
[Crossref]

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]

Ling, Y.

Lipworth, G.

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

Liu, G. D.

G. D. Liu, X. Zhai, L. L. Wang, B. X. Wang, Q. Lin, and X. J. Shang, “Actively tunable Fano resonance based on a T-shaped graphene nanodimer,” Plasmonics 11(2), 381–387 (2016).
[Crossref]

Liu, T.

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
[Crossref]

B. Yang, T. Liu, H. Guo, S. Xiao, and L. Zhou, “High-performance meta-devices based on multilayer meta-atoms: interplay between the number of layers and phase coverage,” Sci. Bull. 64(12), 823–835 (2019).
[Crossref]

Y. Ling, L. Huang, W. Hong, T. Liu, L. Jing, W. Liu, and Z. Wang, “Polarization-switchable and wavelength-controllable multi-functional metasurface for focusing and surface-plasmon-polariton wave excitation,” Opt. Express 25(24), 29812–29821 (2017).
[Crossref]

Liu, W.

Liu, X.

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
[Crossref]

Liu, Z.

X. Zhang and Z. Liu, “Superlenses to overcome the diffraction limit,” Nat. Mater. 7(6), 435–441 (2008).
[Crossref]

Lv, T.

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
[Crossref]

Ma, H. F.

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
[Crossref]

J. H. Shi, H. F. Ma, W. X. Jiang, and T. J. Cui, “Multiband stereometamaterial-based polarization spectral filter,” Phys. Rev. B 86(3), 035103 (2012).
[Crossref]

Magnuson, C.

N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
[Crossref]

Manjappa, M.

M. Manjappa, Y. K. Srivastava, L. Cong, I. Al-Naib, and R. Singh, “Active photoswitching of sharp Fano resonances in THz metadevices,” Adv. Mater. 29(3), 1603355 (2017).
[Crossref]

Mei, T.

Menzel, C.

C. Menzel, C. Rockstuhl, and F. Lederer, “Advanced Jones calculus for the classification of periodic metamaterials,” Phys. Rev. A 82(5), 053811 (2010).
[Crossref]

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009).
[Crossref]

Mork, J.

Mousavi, S. H.

N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
[Crossref]

Mrozack, A.

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

Muhlenbernd, H.

G. Zheng, H. Muhlenbernd, M. Kenney, G. Li, T. Zentgraf, and S. Zhang, “Metasurface holograms reaching 80% efficiency,” Nat. Nanotechnol. 10(4), 308–312 (2015).
[Crossref]

Mutlu, M.

M. Mutlu and E. Ozbay, “A transparent 90° polarization rotator by combining chirality and electromagnetic wave tunneling,” Appl. Phys. Lett. 100(5), 051909 (2012).
[Crossref]

Niu, B.

L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, and M. Qi, “An all-silicon passive optical diode,” Science 335(6067), 447–450 (2012).
[Crossref]

Ouyang, Z.

Z.-L. Deng, N. Yogesh, X.-D. Chen, W.-J. Chen, J.-W. Dong, Z. Ouyang, and G. P. Wang, “Full controlling of Fano resonances in metal-slit superlattice,” Sci. Rep. 5(1), 18461 (2016).
[Crossref]

Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016).
[Crossref]

Oxenlowe, L. K.

Ozbay, E.

M. Mutlu and E. Ozbay, “A transparent 90° polarization rotator by combining chirality and electromagnetic wave tunneling,” Appl. Phys. Lett. 100(5), 051909 (2012).
[Crossref]

Pal, S.

E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
[Crossref]

Pan, W. K.

Pertsch, T.

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

Pfeiffer, C.

C. Pfeiffer, C. Zhang, V. Ray, L. J. Guo, and A. Grbic, “High performance bianisotropic metasurfaces: asymmetric transmission of light,” Phys. Rev. Lett. 113(2), 023902 (2014).
[Crossref]

Philip, E.

E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
[Crossref]

Plum, E.

N. I. Zheludev, E. Plum, and V. A. Fedotov, “Metamaterial polarization spectral filter: Isolated transmission line at any prescribed wavelength,” Appl. Phys. Lett. 99(17), 171915 (2011).
[Crossref]

R. Singh, E. Plum, C. Menzel, C. Rockstuhl, A. K. Azad, R. A. Cheville, F. Lederer, W. Zhang, and N. I. Zheludev, “Terahertz metamaterial with asymmetric transmission,” Phys. Rev. B 80(15), 153104 (2009).
[Crossref]

Premaratne, M.

Qi, M.

L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, and M. Qi, “An all-silicon passive optical diode,” Science 335(6067), 447–450 (2012).
[Crossref]

Qiu, M.

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
[Crossref]

Qiu, X.

S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
[Crossref]

Ray, V.

C. Pfeiffer, C. Zhang, V. Ray, L. J. Guo, and A. Grbic, “High performance bianisotropic metasurfaces: asymmetric transmission of light,” Phys. Rev. Lett. 113(2), 023902 (2014).
[Crossref]

Reynolds, M.

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref]

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]

Rochstuhl, C.

C. Menzel, C. Helgert, C. Rochstuhl, E. B. Kley, A. Tunnermann, T. Pertsch, and F. Lederer, “Asymmetric transmission of linearly polarized light at optical metamaterials,” Phys. Rev. Lett. 104(25), 253902 (2010).
[Crossref]

Rockstuhl, C.

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S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
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Zhu, W.

Zhu, Z.

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
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Zhuang, X.

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
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ACS Nano (1)

S. Yuan, X. Qiu, C. Cui, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, and J. Xia, “Strong photoluminescence enhancement in all-dielectric Fano metasurface with high quality factor,” ACS Nano 11(11), 10704–10711 (2017).
[Crossref]

ACS Photonics (1)

N. Dabidian, I. Kholmanov, A. B. Khanikaev, K. Tatar, S. Trendafilov, S. H. Mousavi, C. Magnuson, R. S. Ruoff, and G. Shvets, “Electrical switching of infrared light using graphene integration with plasmonic Fano resonant metasurfaces,” ACS Photonics 2(2), 216–227 (2015).
[Crossref]

Adv. Mater. (1)

M. Manjappa, Y. K. Srivastava, L. Cong, I. Al-Naib, and R. Singh, “Active photoswitching of sharp Fano resonances in THz metadevices,” Adv. Mater. 29(3), 1603355 (2017).
[Crossref]

Adv. Opt. Mater. (2)

G. Dayal, X. Y. Chin, C. Soci, and R. Singh, “High-Q whispering-gallery-mode-based plasmonic Fano resonances in coupled metallic metasurfaces at near infrared frequencies,” Adv. Opt. Mater. 4(8), 1295–1301 (2016).
[Crossref]

Y. Li, J. Lin, H. Guo, W. Sun, S. Xiao, and L. Zhou, “A tunable metasurface with switchable functionalities from perfect transparency to perfect absorption,” Adv. Opt. Mater. 8(6), 1901548 (2020).
[Crossref]

Appl. Phys. Lett. (5)

J. Shi, X. Liu, S. Yu, T. Lv, Z. Zhu, H. F. Ma, and T. J. Cui, “Dual-band asymmetric transmission of linear polarization in bilayered chiral metamaterial,” Appl. Phys. Lett. 102(19), 191905 (2013).
[Crossref]

N. I. Zheludev, E. Plum, and V. A. Fedotov, “Metamaterial polarization spectral filter: Isolated transmission line at any prescribed wavelength,” Appl. Phys. Lett. 99(17), 171915 (2011).
[Crossref]

Y. Ye and S. He, “90° polarization rotator using a bilayered chiral metamaterial with giant optical activity,” Appl. Phys. Lett. 96(20), 203501 (2010).
[Crossref]

M. Mutlu and E. Ozbay, “A transparent 90° polarization rotator by combining chirality and electromagnetic wave tunneling,” Appl. Phys. Lett. 100(5), 051909 (2012).
[Crossref]

Z.-L. Deng, T. Fu, Z. Ouyang, and G. P. Wang, “Trimeric metasurfaces for independent control of bright and dark modes of Fano resonances,” Appl. Phys. Lett. 108(8), 081109 (2016).
[Crossref]

J. Infrared, Millimeter, Terahertz Waves (1)

E. Philip, M. Z. Gungordu, S. Pal, P. Kung, and S. M. Kim, “Review on polarization selective terahertz metamaterials: from chiral metamaterials to stereometamaterials,” J. Infrared, Millimeter, Terahertz Waves 38(9), 1047–1066 (2017).
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Light: Sci. Appl. (1)

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, T. Shi, G. P. Wang, Y. Wang, J. Xu, Y. Cao, X. Wang, X. Cheng, G. Li, and X. Li, “Facile metagrating holograms with broadband and extreme angle tolerance,” Light: Sci. Appl. 7(1), 78 (2018).
[Crossref]

Nano Lett. (2)

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

Z.-L. Deng, J. Deng, X. Zhuang, S. Wang, K. Li, Y. Wang, Y. Chi, X. Ye, J. Xu, G. P. Wang, R. Zhao, X. Wang, Y. Cao, X. Cheng, G. Li, and X. Li, “Diatomic Metasurface for Vectorial Holography,” Nano Lett. 18(5), 2885–2892 (2018).
[Crossref]

Nanophotonics (1)

W. Huang, J. Lin, M. Qiu, T. Liu, Q. He, S. Xiao, and L. Zhou, “A complete phase diagram for dark-bright coupled plasmonic systems: applicability of Fano’s formula,” Nanophotonics 9(10), 3251–3262 (2020).
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Nanoscale (1)

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Figures (6)

Fig. 1.
Fig. 1. Schematic of (a) the top layer, (b) the double-L-shaped mid-layer, (c) the bottom layer, and (d) the combination unit cell with (a) to (c). (e) Profile of the fabricated sample and (f) the experimental setup.
Fig. 2.
Fig. 2. AT coefficients $T_{yx}^f$, $T_{xy}^f$ for different linearly polarized waves, for (a) simulations and (b) experimental tests in the forward direction. (c) Simulated AT spectra and (d) experimental AT spectra.
Fig. 3.
Fig. 3. (a) Simulated and (b) experimental transmission maps, for a structure without the double-L-shaped layer.
Fig. 4.
Fig. 4. Fano resonance for a symmetric trimeric metasurface.
Fig. 5.
Fig. 5. The current density vector and magnetic field distributions at 10.252 GHz for (a) z = −2.019 mm relative to the bottom layer, (b) z = −0.019 mm relative to the top surface of the middle layer, (c) z = 0.019 mm relative to the bottom surface of the middle layer and (d) z = 2.019 mm relative to the top layer.
Fig. 6.
Fig. 6. Transmittance obtained by varying m (a) simulated transmission as a function of m, (b) transmission plots for different m and (c) comparison of transmission obtained by simulation (black) and CMT method (red).

Equations (6)

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( T x T y ) = ( T x x T x y T y x T y y ) ( I x I y ) = T l i n f ( I x I y )
T = ( T x x T y x T x y T y y )
Δ l i n x = | T x x f | 2 + | T y x f | 2 | T x x b | 2 | T x y f | 2 = | T y x f | 2 | T x y f | 2
Δ l i n y = | T y y f | 2 + | T x y f | 2 | T y y b | 2 | T x y b | 2 = | T x y f | 2 | T y x f | 2
1 2 π d d t ( a 1 a 2 ) = [ i ( f 0 K K f 0 ) + ( Γ 0 0 Γ + ) + ( Γ a 0 0 Γ a ) ] ( a 1 a 2 )
t = Γ + i ( f ( 1 + K ) ) + Γ + + Γ a Γ i ( f ( 1 K ) ) + Γ + Γ a

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