Abstract

We present a tunable metamodulator to work at terahertz frequencies by employing the dependency of toroidal dipolar resonance on the conductivity of vanadium dioxide. Numerical results show that toroidal dipolar resonance in the proposed planar structure can be observed around 0.288 THz in transmission spectrum. From the distribution of the anti-phase current flowing in the symmetric split ring resonator, the formation of toroidal dipole is validated. Our design may have potential applications in advanced terahertz devices, such as filter, plasmonic sensor, and fast switch.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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Broadband tunable terahertz absorber based on vanadium dioxide metamaterials

Zhengyong Song, Kai Wang, Jiawen Li, and Qing Huo Liu
Opt. Express 26(6) 7148-7154 (2018)

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    [Crossref] [PubMed]
  2. Q. Chu, Z. Song, and Q. H. Liu, “Omnidirectional tunable terahertz analog of electromagnetically induced transparency realized by isotropic vanadium dioxide metasurfaces,” Appl. Phys. Express 11(8), 082203 (2018).
    [Crossref]
  3. Z. Song, Q. Chu, and Q. H. Liu, “Isotropic wide-angle analog of electromagnetically induced transparency in a terahertz metasurface,” Mater. Lett. 223, 90–92 (2018).
    [Crossref]
  4. J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
    [Crossref]
  5. Z. Song, Z. Wang, and M. Wei, “Broadband tunable absorber for terahertz waves based on isotropic silicon metasurfaces,” Mater. Lett. 234, 138–141 (2019).
    [Crossref]
  6. Z. Song, K. Wang, J. Li, and Q. H. Liu, “Broadband tunable terahertz absorber based on vanadium dioxide metamaterials,” Opt. Express 26(6), 7148–7154 (2018).
    [Crossref] [PubMed]
  7. N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
    [Crossref] [PubMed]
  8. Z. Song, Q. Chu, X. Shen, and Q. H. Liu, “Wideband high-efficient linear polarization rotators,” Front. Phys. 13(5), 137803 (2018).
    [Crossref]
  9. Z. Song, L. Zhang, and Q. H. Liu, “High-efficiency broadband cross polarization converter for near-infrared light based on anisotropic plasmonic meta-surfaces,” Plasmonics 11(1), 61–64 (2016).
    [Crossref]
  10. T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal dipolar response in a metamaterial,” Science 330(6010), 1510–1512 (2010).
    [Crossref] [PubMed]
  11. Z. G. Dong, P. Ni, J. Zhu, X. Yin, and X. Zhang, “Toroidal dipole response in a multifold double-ring metamaterial,” Opt. Express 20(12), 13065–13070 (2012).
    [Crossref] [PubMed]
  12. A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
    [Crossref]
  13. N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
    [Crossref] [PubMed]
  14. A. Sayanskiy, M. Danaeifar, P. Kapitanova, and A. E. Miroshnichenko, “All-dielectric metalattice with enhanced toroidal dipole response,” Adv. Opt. Mater. 6(19), 1800302 (2018).
    [Crossref]
  15. V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-dielectric resonant metasurfaces with a strong toroidal response,” ACS Photonics 5(5), 1871–1876 (2018).
    [Crossref]
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    [Crossref] [PubMed]
  18. M. Gupta, Y. K. Srivastava, and R. Singh, “A toroidal metamaterial switch,” Adv. Mater. 30(4), 1704845 (2018).
    [Crossref] [PubMed]
  19. Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
    [Crossref] [PubMed]
  20. A. K. Ospanova, I. V. Stenishchev, and A. A. Basharin, “Anapole mode sustaining silicon metamaterials in visible spectral range,” Laser Photonics Rev. 12(7), 1800005 (2018).
    [Crossref]
  21. N. Talebi, S. Guo, and P. A. van Aken, “Theory and applications of toroidal moments in electrodynamics: their emergence, characteristics, and technological relevance,” Nanophotonics 7(1), 93–110 (2018).
    [Crossref]
  22. P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
    [Crossref] [PubMed]
  23. L. Cong, Y. K. Srivastava, and R. Singh, “Tailoring the multipoles in THz toroidal metamaterials,” Appl. Phys. Lett. 111(8), 081108 (2017).
    [Crossref]
  24. J. Li, J. Shao, Y. H. Wang, M. J. Zhu, J. Q. Li, and Z. G. Dong, “Toroidal dipolar response by a dielectric microtube metamaterial in the terahertz regime,” Opt. Express 23(22), 29138–29144 (2015).
    [Crossref] [PubMed]
  25. X. Chen and W. Fan, “Study of the interaction between graphene and planar terahertz metamaterial with toroidal dipolar resonance,” Opt. Lett. 42(10), 2034–2037 (2017).
    [Crossref] [PubMed]
  26. M. V. Cojocari, K. I. Schegoleva, and A. A. Basharin, “Blueshift and phase tunability in planar THz metamaterials: the role of losses and toroidal dipole contribution,” Opt. Lett. 42(9), 1700–1703 (2017).
    [Crossref] [PubMed]
  27. B. Gerislioglu, A. Ahmadivand, and N. Pala, “Tunable plasmonic toroidal terahertz metamodulator,” Phys. Rev. B 97(16), 161405(R) (2018).
  28. M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
    [Crossref]
  29. M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
    [Crossref] [PubMed]
  30. N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
    [Crossref]
  31. D. J. Park, J. H. Shin, K. H. Park, and H. C. Ryu, “Electrically controllable THz asymmetric split-loop resonator with an outer square loop based on VO2,” Opt. Express 26(13), 17397–17406 (2018).
    [Crossref] [PubMed]
  32. H. Liu, J. Lu, and X. R. Wang, “Metamaterials based on the phase transition of VO2,” Nanotechnology 29(2), 024002 (2018).
    [Crossref] [PubMed]
  33. H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
    [Crossref]
  34. S. Song, X. Ma, M. Pu, X. Li, Y. Guo, P. Gao, and X. Luo, “Tailoring active color rendering and multiband photodetection in a vanadium-dioxide-based metamaterial absorber,” Photon. Res. 6(6), 492–497 (2018).
    [Crossref]
  35. S. Wang, L. Kang, and D. H. Werner, “Hybrid resonators and highly tunable terahertz metamaterials enabled by vanadium dioxide (VO2),” Sci. Rep. 7(1), 4326 (2017).
    [Crossref] [PubMed]
  36. N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
    [Crossref] [PubMed]
  37. M. Naftaly and R. E. Miles, “Terahertz time-domain spectroscopy of silicate glasses and the relationship to material properties,” J. Appl. Phys. 102(4), 043517 (2007).
    [Crossref]
  38. R. Malureanu, M. Zalkovskij, Z. Song, C. Gritti, A. Andryieuski, Q. He, L. Zhou, P. U. Jepsen, and A. V. Lavrinenko, “A new method for obtaining transparent electrodes,” Opt. Express 20(20), 22770–22782 (2012).
    [Crossref] [PubMed]

2019 (2)

Z. Song, Z. Wang, and M. Wei, “Broadband tunable absorber for terahertz waves based on isotropic silicon metasurfaces,” Mater. Lett. 234, 138–141 (2019).
[Crossref]

M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
[Crossref]

2018 (15)

M. Gupta, Y. K. Srivastava, and R. Singh, “A toroidal metamaterial switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref] [PubMed]

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

D. J. Park, J. H. Shin, K. H. Park, and H. C. Ryu, “Electrically controllable THz asymmetric split-loop resonator with an outer square loop based on VO2,” Opt. Express 26(13), 17397–17406 (2018).
[Crossref] [PubMed]

H. Liu, J. Lu, and X. R. Wang, “Metamaterials based on the phase transition of VO2,” Nanotechnology 29(2), 024002 (2018).
[Crossref] [PubMed]

H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
[Crossref]

S. Song, X. Ma, M. Pu, X. Li, Y. Guo, P. Gao, and X. Luo, “Tailoring active color rendering and multiband photodetection in a vanadium-dioxide-based metamaterial absorber,” Photon. Res. 6(6), 492–497 (2018).
[Crossref]

Z. Song, K. Wang, J. Li, and Q. H. Liu, “Broadband tunable terahertz absorber based on vanadium dioxide metamaterials,” Opt. Express 26(6), 7148–7154 (2018).
[Crossref] [PubMed]

Q. Chu, Z. Song, and Q. H. Liu, “Omnidirectional tunable terahertz analog of electromagnetically induced transparency realized by isotropic vanadium dioxide metasurfaces,” Appl. Phys. Express 11(8), 082203 (2018).
[Crossref]

Z. Song, Q. Chu, and Q. H. Liu, “Isotropic wide-angle analog of electromagnetically induced transparency in a terahertz metasurface,” Mater. Lett. 223, 90–92 (2018).
[Crossref]

Z. Song, Q. Chu, X. Shen, and Q. H. Liu, “Wideband high-efficient linear polarization rotators,” Front. Phys. 13(5), 137803 (2018).
[Crossref]

A. Sayanskiy, M. Danaeifar, P. Kapitanova, and A. E. Miroshnichenko, “All-dielectric metalattice with enhanced toroidal dipole response,” Adv. Opt. Mater. 6(19), 1800302 (2018).
[Crossref]

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-dielectric resonant metasurfaces with a strong toroidal response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

A. K. Ospanova, I. V. Stenishchev, and A. A. Basharin, “Anapole mode sustaining silicon metamaterials in visible spectral range,” Laser Photonics Rev. 12(7), 1800005 (2018).
[Crossref]

N. Talebi, S. Guo, and P. A. van Aken, “Theory and applications of toroidal moments in electrodynamics: their emergence, characteristics, and technological relevance,” Nanophotonics 7(1), 93–110 (2018).
[Crossref]

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

2017 (5)

L. Cong, Y. K. Srivastava, and R. Singh, “Tailoring the multipoles in THz toroidal metamaterials,” Appl. Phys. Lett. 111(8), 081108 (2017).
[Crossref]

S. Wang, L. Kang, and D. H. Werner, “Hybrid resonators and highly tunable terahertz metamaterials enabled by vanadium dioxide (VO2),” Sci. Rep. 7(1), 4326 (2017).
[Crossref] [PubMed]

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
[Crossref] [PubMed]

X. Chen and W. Fan, “Study of the interaction between graphene and planar terahertz metamaterial with toroidal dipolar resonance,” Opt. Lett. 42(10), 2034–2037 (2017).
[Crossref] [PubMed]

M. V. Cojocari, K. I. Schegoleva, and A. A. Basharin, “Blueshift and phase tunability in planar THz metamaterials: the role of losses and toroidal dipole contribution,” Opt. Lett. 42(9), 1700–1703 (2017).
[Crossref] [PubMed]

2016 (3)

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
[Crossref] [PubMed]

Z. Song, L. Zhang, and Q. H. Liu, “High-efficiency broadband cross polarization converter for near-infrared light based on anisotropic plasmonic meta-surfaces,” Plasmonics 11(1), 61–64 (2016).
[Crossref]

2015 (2)

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

J. Li, J. Shao, Y. H. Wang, M. J. Zhu, J. Q. Li, and Z. G. Dong, “Toroidal dipolar response by a dielectric microtube metamaterial in the terahertz regime,” Opt. Express 23(22), 29138–29144 (2015).
[Crossref] [PubMed]

2013 (1)

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

2012 (3)

Z. G. Dong, P. Ni, J. Zhu, X. Yin, and X. Zhang, “Toroidal dipole response in a multifold double-ring metamaterial,” Opt. Express 20(12), 13065–13070 (2012).
[Crossref] [PubMed]

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

R. Malureanu, M. Zalkovskij, Z. Song, C. Gritti, A. Andryieuski, Q. He, L. Zhou, P. U. Jepsen, and A. V. Lavrinenko, “A new method for obtaining transparent electrodes,” Opt. Express 20(20), 22770–22782 (2012).
[Crossref] [PubMed]

2010 (2)

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal dipolar response in a metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref] [PubMed]

J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
[Crossref]

2009 (1)

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[Crossref] [PubMed]

2008 (1)

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

2007 (1)

M. Naftaly and R. E. Miles, “Terahertz time-domain spectroscopy of silicate glasses and the relationship to material properties,” J. Appl. Phys. 102(4), 043517 (2007).
[Crossref]

Andryieuski, A.

Averitt, R. D.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Azad, A. K.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Basharin, A. A.

A. K. Ospanova, I. V. Stenishchev, and A. A. Basharin, “Anapole mode sustaining silicon metamaterials in visible spectral range,” Laser Photonics Rev. 12(7), 1800005 (2018).
[Crossref]

M. V. Cojocari, K. I. Schegoleva, and A. A. Basharin, “Blueshift and phase tunability in planar THz metamaterials: the role of losses and toroidal dipole contribution,” Opt. Lett. 42(9), 1700–1703 (2017).
[Crossref] [PubMed]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Butakov, N. A.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Cai, H.

H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
[Crossref]

Chen, H.

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

Chen, H. T.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Chen, Q.

M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
[Crossref]

Chen, S.

H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
[Crossref]

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
[Crossref] [PubMed]

Chen, X.

Chorsi, H. T.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Chowdhury, D. R.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Chu, Q.

Q. Chu, Z. Song, and Q. H. Liu, “Omnidirectional tunable terahertz analog of electromagnetically induced transparency realized by isotropic vanadium dioxide metasurfaces,” Appl. Phys. Express 11(8), 082203 (2018).
[Crossref]

Z. Song, Q. Chu, and Q. H. Liu, “Isotropic wide-angle analog of electromagnetically induced transparency in a terahertz metasurface,” Mater. Lett. 223, 90–92 (2018).
[Crossref]

Z. Song, Q. Chu, X. Shen, and Q. H. Liu, “Wideband high-efficient linear polarization rotators,” Front. Phys. 13(5), 137803 (2018).
[Crossref]

Cojocari, M. V.

Cong, L.

L. Cong, Y. K. Srivastava, and R. Singh, “Tailoring the multipoles in THz toroidal metamaterials,” Appl. Phys. Lett. 111(8), 081108 (2017).
[Crossref]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

Cui, A.

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
[Crossref] [PubMed]

Dalvit, D. A. R.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Danaeifar, M.

A. Sayanskiy, M. Danaeifar, P. Kapitanova, and A. E. Miroshnichenko, “All-dielectric metalattice with enhanced toroidal dipole response,” Adv. Opt. Mater. 6(19), 1800302 (2018).
[Crossref]

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J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
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P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
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H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
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N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
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H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
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H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
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M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
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N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
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Kaelberer, T.

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A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
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N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
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A. Sayanskiy, M. Danaeifar, P. Kapitanova, and A. E. Miroshnichenko, “All-dielectric metalattice with enhanced toroidal dipole response,” Adv. Opt. Mater. 6(19), 1800302 (2018).
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N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
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M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
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V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-dielectric resonant metasurfaces with a strong toroidal response,” ACS Photonics 5(5), 1871–1876 (2018).
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N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
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N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
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Lewi, T.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
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P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
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Li, J. Q.

Li, W.

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
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Li, Z.

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
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M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
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S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
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N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
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Z. Song, L. Zhang, and Q. H. Liu, “High-efficiency broadband cross polarization converter for near-infrared light based on anisotropic plasmonic meta-surfaces,” Plasmonics 11(1), 61–64 (2016).
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J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
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Liu, Y.

M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
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H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
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Liu, Z.

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
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H. Liu, J. Lu, and X. R. Wang, “Metamaterials based on the phase transition of VO2,” Nanotechnology 29(2), 024002 (2018).
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M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
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H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
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M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
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Omenetto, F. G.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
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J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
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Papasimakis, N.

N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
[Crossref] [PubMed]

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal dipolar response in a metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref] [PubMed]

Park, D. J.

Park, K. H.

Pfau, T.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[Crossref] [PubMed]

Pu, M.

Qin, P.

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
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Qiu, M.

J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
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N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
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N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
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Savinov, V.

N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
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M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
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A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
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A. Sayanskiy, M. Danaeifar, P. Kapitanova, and A. E. Miroshnichenko, “All-dielectric metalattice with enhanced toroidal dipole response,” Adv. Opt. Mater. 6(19), 1800302 (2018).
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Schegoleva, K. I.

Schuller, I. K.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Schuller, J. A.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Shao, J.

Shen, X.

Z. Song, Q. Chu, X. Shen, and Q. H. Liu, “Wideband high-efficient linear polarization rotators,” Front. Phys. 13(5), 137803 (2018).
[Crossref]

Shin, J. H.

Singh, R.

M. Gupta, Y. K. Srivastava, and R. Singh, “A toroidal metamaterial switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref] [PubMed]

L. Cong, Y. K. Srivastava, and R. Singh, “Tailoring the multipoles in THz toroidal metamaterials,” Appl. Phys. Lett. 111(8), 081108 (2017).
[Crossref]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

Song, S.

Song, Z.

M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
[Crossref]

Z. Song, Z. Wang, and M. Wei, “Broadband tunable absorber for terahertz waves based on isotropic silicon metasurfaces,” Mater. Lett. 234, 138–141 (2019).
[Crossref]

Z. Song, Q. Chu, and Q. H. Liu, “Isotropic wide-angle analog of electromagnetically induced transparency in a terahertz metasurface,” Mater. Lett. 223, 90–92 (2018).
[Crossref]

Q. Chu, Z. Song, and Q. H. Liu, “Omnidirectional tunable terahertz analog of electromagnetically induced transparency realized by isotropic vanadium dioxide metasurfaces,” Appl. Phys. Express 11(8), 082203 (2018).
[Crossref]

Z. Song, Q. Chu, X. Shen, and Q. H. Liu, “Wideband high-efficient linear polarization rotators,” Front. Phys. 13(5), 137803 (2018).
[Crossref]

Z. Song, K. Wang, J. Li, and Q. H. Liu, “Broadband tunable terahertz absorber based on vanadium dioxide metamaterials,” Opt. Express 26(6), 7148–7154 (2018).
[Crossref] [PubMed]

Z. Song, L. Zhang, and Q. H. Liu, “High-efficiency broadband cross polarization converter for near-infrared light based on anisotropic plasmonic meta-surfaces,” Plasmonics 11(1), 61–64 (2016).
[Crossref]

R. Malureanu, M. Zalkovskij, Z. Song, C. Gritti, A. Andryieuski, Q. He, L. Zhou, P. U. Jepsen, and A. V. Lavrinenko, “A new method for obtaining transparent electrodes,” Opt. Express 20(20), 22770–22782 (2012).
[Crossref] [PubMed]

Soukoulis, C. M.

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Srivastava, Y. K.

M. Gupta, Y. K. Srivastava, and R. Singh, “A toroidal metamaterial switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref] [PubMed]

L. Cong, Y. K. Srivastava, and R. Singh, “Tailoring the multipoles in THz toroidal metamaterials,” Appl. Phys. Lett. 111(8), 081108 (2017).
[Crossref]

Stenishchev, I. V.

A. K. Ospanova, I. V. Stenishchev, and A. A. Basharin, “Anapole mode sustaining silicon metamaterials in visible spectral range,” Laser Photonics Rev. 12(7), 1800005 (2018).
[Crossref]

Sternbach, A. J.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Strikwerda, A. C.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Talebi, N.

N. Talebi, S. Guo, and P. A. van Aken, “Theory and applications of toroidal moments in electrodynamics: their emergence, characteristics, and technological relevance,” Nanophotonics 7(1), 93–110 (2018).
[Crossref]

Tao, H.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Taylor, A. J.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Trastoy, J.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Tsai, D. P.

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal dipolar response in a metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref] [PubMed]

Tuz, V. R.

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-dielectric resonant metasurfaces with a strong toroidal response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

Urban, C.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Valmianski, I.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

van Aken, P. A.

N. Talebi, S. Guo, and P. A. van Aken, “Theory and applications of toroidal moments in electrodynamics: their emergence, characteristics, and technological relevance,” Nanophotonics 7(1), 93–110 (2018).
[Crossref]

Wang, J.

J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
[Crossref]

Wang, K.

Wang, P. Y.

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Wang, S.

S. Wang, L. Kang, and D. H. Werner, “Hybrid resonators and highly tunable terahertz metamaterials enabled by vanadium dioxide (VO2),” Sci. Rep. 7(1), 4326 (2017).
[Crossref] [PubMed]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

Wang, X. R.

H. Liu, J. Lu, and X. R. Wang, “Metamaterials based on the phase transition of VO2,” Nanotechnology 29(2), 024002 (2018).
[Crossref] [PubMed]

Wang, Y.

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

Wang, Y. H.

Wang, Z.

Z. Song, Z. Wang, and M. Wei, “Broadband tunable absorber for terahertz waves based on isotropic silicon metasurfaces,” Mater. Lett. 234, 138–141 (2019).
[Crossref]

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

Wei, M.

M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
[Crossref]

Z. Song, Z. Wang, and M. Wei, “Broadband tunable absorber for terahertz waves based on isotropic silicon metasurfaces,” Mater. Lett. 234, 138–141 (2019).
[Crossref]

Weiss, T.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[Crossref] [PubMed]

Werner, D. H.

S. Wang, L. Kang, and D. H. Werner, “Hybrid resonators and highly tunable terahertz metamaterials enabled by vanadium dioxide (VO2),” Sci. Rep. 7(1), 4326 (2017).
[Crossref] [PubMed]

West, K. G.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Wolf, S. A.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Xu, N.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

Yang, Y.

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

Yin, W.

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

Yin, X.

Zalkovskij, M.

Zeng, Y.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Zhang, L.

Z. Song, L. Zhang, and Q. H. Liu, “High-efficiency broadband cross polarization converter for near-infrared light based on anisotropic plasmonic meta-surfaces,” Plasmonics 11(1), 61–64 (2016).
[Crossref]

Zhang, S.

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

Zhang, W.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

Zhang, X.

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Z. G. Dong, P. Ni, J. Zhu, X. Yin, and X. Zhang, “Toroidal dipole response in a multifold double-ring metamaterial,” Opt. Express 20(12), 13065–13070 (2012).
[Crossref] [PubMed]

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

Zhao, Y.

H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
[Crossref]

Zheludev, N. I.

N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
[Crossref] [PubMed]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal dipolar response in a metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref] [PubMed]

Zheng, B.

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

Zhou, L.

R. Malureanu, M. Zalkovskij, Z. Song, C. Gritti, A. Andryieuski, Q. He, L. Zhou, P. U. Jepsen, and A. V. Lavrinenko, “A new method for obtaining transparent electrodes,” Opt. Express 20(20), 22770–22782 (2012).
[Crossref] [PubMed]

J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
[Crossref]

Zhu, J.

Zhu, M. J.

Zou, C.

H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
[Crossref]

ACS Photonics (2)

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-dielectric resonant metasurfaces with a strong toroidal response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

N. A. Butakov, M. W. Knight, T. Lewi, P. P. Iyer, D. Higgs, H. T. Chorsi, J. Trastoy, J. Del Valle Granda, I. Valmianski, C. Urban, Y. Kalcheim, P. Y. Wang, P. W. C. Hon, I. K. Schuller, and J. A. Schuller, “Broadband electrically tunable dielectric resonators using metal-insulator transitions,” ACS Photonics 5(10), 4056–4060 (2018).
[Crossref]

Adv. Mater. (3)

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp toroidal resonances in planar terahertz metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref] [PubMed]

M. Gupta, Y. K. Srivastava, and R. Singh, “A toroidal metamaterial switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref] [PubMed]

Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, and C. Gu, “High-quality-factor mid-infrared toroidal excitation in folded 3D metamaterials,” Adv. Mater. 29(17), 1606298 (2017).
[Crossref] [PubMed]

Adv. Opt. Mater. (2)

A. Sayanskiy, M. Danaeifar, P. Kapitanova, and A. E. Miroshnichenko, “All-dielectric metalattice with enhanced toroidal dipole response,” Adv. Opt. Mater. 6(19), 1800302 (2018).
[Crossref]

H. Cai, S. Chen, C. Zou, Q. Huang, Y. Liu, X. Hu, Z. Fu, Y. Zhao, H. He, and Y. Lu, “Multifunctional hybrid metasurfaces for dynamic tuning of terahertz waves,” Adv. Opt. Mater. 6(14), 1800257 (2018).
[Crossref]

Adv. Sci. (Weinh.) (1)

P. Qin, Y. Yang, M. Y. Musa, B. Zheng, Z. Wang, R. Hao, W. Yin, H. Chen, and E. Li, “Toroidal localized spoof plasmons on compact metadisks,” Adv. Sci. (Weinh.) 5(3), 1700487 (2018).
[Crossref] [PubMed]

Appl. Phys. Express (1)

Q. Chu, Z. Song, and Q. H. Liu, “Omnidirectional tunable terahertz analog of electromagnetically induced transparency realized by isotropic vanadium dioxide metasurfaces,” Appl. Phys. Express 11(8), 082203 (2018).
[Crossref]

Appl. Phys. Lett. (2)

J. M. Hao, J. Wang, X. L. Liu, W. J. Padilla, L. Zhou, and M. Qiu, “High performance optical absorber based on a plasmonic metamaterial,” Appl. Phys. Lett. 96(25), 251104 (2010).
[Crossref]

L. Cong, Y. K. Srivastava, and R. Singh, “Tailoring the multipoles in THz toroidal metamaterials,” Appl. Phys. Lett. 111(8), 081108 (2017).
[Crossref]

Front. Phys. (1)

Z. Song, Q. Chu, X. Shen, and Q. H. Liu, “Wideband high-efficient linear polarization rotators,” Front. Phys. 13(5), 137803 (2018).
[Crossref]

J. Appl. Phys. (1)

M. Naftaly and R. E. Miles, “Terahertz time-domain spectroscopy of silicate glasses and the relationship to material properties,” J. Appl. Phys. 102(4), 043517 (2007).
[Crossref]

Laser Photonics Rev. (1)

A. K. Ospanova, I. V. Stenishchev, and A. A. Basharin, “Anapole mode sustaining silicon metamaterials in visible spectral range,” Laser Photonics Rev. 12(7), 1800005 (2018).
[Crossref]

Mater. Lett. (3)

Z. Song, Q. Chu, and Q. H. Liu, “Isotropic wide-angle analog of electromagnetically induced transparency in a terahertz metasurface,” Mater. Lett. 223, 90–92 (2018).
[Crossref]

Z. Song, Z. Wang, and M. Wei, “Broadband tunable absorber for terahertz waves based on isotropic silicon metasurfaces,” Mater. Lett. 234, 138–141 (2019).
[Crossref]

M. Wei, Z. Song, Y. Deng, Y. Liu, and Q. Chen, “Large-angle mid-infrared absorption switch enabled by polarization-independent GST metasurfaces,” Mater. Lett. 236, 350–353 (2019).
[Crossref]

Nanophotonics (1)

N. Talebi, S. Guo, and P. A. van Aken, “Theory and applications of toroidal moments in electrodynamics: their emergence, characteristics, and technological relevance,” Nanophotonics 7(1), 93–110 (2018).
[Crossref]

Nanotechnology (1)

H. Liu, J. Lu, and X. R. Wang, “Metamaterials based on the phase transition of VO2,” Nanotechnology 29(2), 024002 (2018).
[Crossref] [PubMed]

Nat. Mater. (2)

N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, “Electromagnetic toroidal excitations in matter and free space,” Nat. Mater. 15(3), 263–271 (2016).
[Crossref] [PubMed]

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[Crossref] [PubMed]

Nature (1)

M. Liu, H. Y. Hwang, H. Tao, A. C. Strikwerda, K. Fan, G. R. Keiser, A. J. Sternbach, K. G. West, S. Kittiwatanakul, J. Lu, S. A. Wolf, F. G. Omenetto, X. Zhang, K. A. Nelson, and R. D. Averitt, “Terahertz-field-induced insulator-to-metal transition in vanadium dioxide metamaterial,” Nature 487(7407), 345–348 (2012).
[Crossref] [PubMed]

Opt. Express (5)

Opt. Lett. (2)

Photon. Res. (1)

Phys. Rev. Lett. (1)

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

Phys. Rev. X (1)

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric metamaterials with toroidal dipolar response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Plasmonics (1)

Z. Song, L. Zhang, and Q. H. Liu, “High-efficiency broadband cross polarization converter for near-infrared light based on anisotropic plasmonic meta-surfaces,” Plasmonics 11(1), 61–64 (2016).
[Crossref]

Sci. Rep. (1)

S. Wang, L. Kang, and D. H. Werner, “Hybrid resonators and highly tunable terahertz metamaterials enabled by vanadium dioxide (VO2),” Sci. Rep. 7(1), 4326 (2017).
[Crossref] [PubMed]

Science (2)

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal dipolar response in a metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref] [PubMed]

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Other (2)

B. Gerislioglu, A. Ahmadivand, and N. Pala, “Tunable plasmonic toroidal terahertz metamodulator,” Phys. Rev. B 97(16), 161405(R) (2018).

B. Gerislioglu, A. Ahmadivand, and N. Pala, “Tunable plasmonic toroidal terahertz metamodulator,” Phys. Rev. B 97(16), 161405(R) (2018).

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Figures (4)

Fig. 1
Fig. 1 Schematic of the designed toroidal metamaterial.
Fig. 2
Fig. 2 (a) Simulated transmission spectra of the proposed toroidal dipole. Simulated electric current (b) and magnetic field (c) distributions at the resonant frequency of 0.288 THz, when the conductivity of V O 2 is 10 Ω -1 c m -1 .
Fig. 3
Fig. 3 (a) Simulated transmission spectra as a function of frequency and thicknesses of SiO 2 (a) and V O 2 (b), when the conductivity of V O 2 is 10 Ω -1 c m -1 .
Fig. 4
Fig. 4 Simulated transmission spectra of the proposed toroidal dipole for polarization angle under normal incidence (a), TE oblique incidence (b), and TM oblique incidence (c), when the conductivity of V O 2 is 10 Ω -1 c m -1 .

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