Abstract
We proposed and fabricated a Z-shaped toroidal dipole terahertz metasurfaces, consisting of two incomplete U-shaped split rings, and the two incomplete U-shapes are rotationally symmetric with respect to the Z-axis. The effects of the structural parameters on the electromagnetic characteristics of toroidal resonances are investigated via simulation and experiment. The mechanism of toroidal dipole resonance is studied deeply by establishing an LC resonance model and calculating the multipoles scattering energy. The capacitance was highly depended on the value of lx, and the inductance was determined by the value of ly. Hence, the red shift was observed as the increasing of ly/lx. The resonant frequency of the toroidal dipole resonance is red shifted, as the ly/lx of the metallic pattern increases. The tunability of toroidal dipole resonant frequencies explores the interaction of toroidal multipoles with terahertz wave that could have extensive applications in the terahertz functional devices.
Similar content being viewed by others
References
Z. Yan, Y. Ying, H. Zhang, H. Yu, Proc. SPIE Int. Soc. Opt. Eng. 6373, 6373OR (6373OR)
Y. Bao, X. Zhe, Z. Fang, Sci. Rep. 5, 11793 (2015)
J. Gu, R. Singh, Z. Tian, W. Cao, Q. Xing, M. He, J.W. Zhang, J. Han, H.T. Chen, W. Zhang, Appl. Phys. Lett. 97, 071102 (2010)
H.T. Chen, W.J. Padilla, J.M.O. Zide, A.C. Gossard, A.J. Taylor, R.D. Averitt, Nature 444, 597 (2006)
W.M. Zhu, A.Q. Liu, X.M. Zhang, D.P. Tsai, Adv. Mater. 23, 1792 (2011)
X. Zhang, Z. Tian, W. Yue, J. Gu, S. Zhang, J. Han, W. Zhang, Adv. Mater. 25, 4567 (2013)
X. Zhang, S. Yang, W. Yue, Q. Xu, C. Tian, X. Zhang, E. Plum, S. Zhang, J. Han, W. Zhang, Optica 6, 1190 (2019)
M. Gupta, N. Savinov, L. Xu, C. Cong, S. Dayal, Adv. Mater. 28, 8206 (2016)
C.M. Soukoulis, M. Wegener, Nat. Photonics 5, 523 (2011)
Z. Liu, S. Du, A. Cui, Z. Li, Y. Fan, S. Chen, W. Li, J. Li, C. Gu, Adv. Mater. 29, 1606298 (2017)
A.A. Basharin, M. Kafesaki, E.N. Economou, C.M. Soukoulis, Phys. Rev. X 5, 011036 (2014)
V. Yannopapas, A.G. Vanakaras, ACS Photonics 2, 1030 (2015)
H. Xiang, L. Ge, L. Liu, T. Jiang, Z.Q. Zhang, C.T. Chan, D. Ham, Phys. Rev. B 95(6), 045403 (2016)
S.L. Wang, J.J. Xiao, Q. Zhang, X.M. Zhang, Opt. Express 22, 24358 (2014)
W. Liu, J. Zhang, B. Lei, H. Hu, A.E. Miroshnichenko, Opt. Lett. 40(11), 113105 ((2015))
S.H. Kim, S.S. Oh, K.J. Kim, J.E. Kim, H.Y. Park, O. Hess, C.S. Kee, Phys. Rev. B 91, 035116 (2015)
W.X. Lim, S. Han, M. Gupta, K.F. Macdonald, R. Singh, Appl. Phys. Lett. 111(6), 061104 (2017)
M. Gupta, Y.K. Srivastava, M. Manjappa, R. Singh, Appl. Phys. Lett. 110(12), 121108 (2017)
L. Cong, Y.K. Srivastava, R. Singh, Appl. Phys. Lett. 111(8), 081108 (2017)
S. Han, M. Gupta, L. Cong, Y.K. Srivastava, R. Singh, J. Appl. Phys. 122(11), 113105 (2017)
T.C.W. Tan, E. Plum, R. Singh, Photonics 6(3), 75 (2019)
Y.K. Srivastava, R.T. Ako, M. Gupta, M. Bhaskaran, S. Sriram, R. Singh, Appl. Phys. Lett. 115, 151105 (2019)
Q. Li, L. Cong, R. Singh, N. Xu, W. Cao, X. Zhang, Z. Tian, L. Du, J. Han, W. Zhang, Nanoscale 8, 17278 (2016)
Y. Fan, T. Qiao, F. Zhang, Q. Fu, J. Dong, B. Kong, H. Li, Sci. Rep. 7, 40441 (2017)
M. Manjappa, Y.K. Srivastava, R. Singh, Phys. Rev. B 94, 161103(R) (2016)
R. Yahiaoui, J.A. Burrow, S.M. Mekonen, A. Sarangan, J. Mathews, I. Agha, T.A. Searles, Phy. Rev. B 97, 155403 (2017)
J.A. Burrow, Y. Riad, S. Andrew, I. Agha, J. Mathews, T.A. Searles, Opt. Express 25, 32540 (2017)
M. Papaioannou, E. Plum, J. Valente, E.T. Rogers, N.I. Zheludev, Light Sci. Appl. 5, e16070 (2016)
L. Cong, V. Savinov, Y.K. Srivastava, S. Han, R. Singh, Adv. Mater. 30, 1804210 (2018)
M. Gupta, Y.K. Srivastava, M. Manjappa, R. Singh, Appl. Phys. Lett 110, 121108 (2017)
M. Gupta, R. Singh, Adv. Opt. Mater. 4, 2119 (2016)
K. Sawada, N. Nagaosa, Phys. Rev. Lett. 95, 237402 (2005)
N. Papasimakis, V.A. Fedotov, K.B. Marinov, N.I. Zheludev, Phys. Rev. Lett. 103, 093901 (2009)
I.B. Zel'Dovich, J. Exp. Theor. Phys. 6, 1184 (1958)
S. Wang, S. Wang, Q. Li, X. Zhao, J. Zhu, Materials 11, 2036 (2018)
V. Savinov, V.A. Fedotov, N.I. Zheludev, Phys. Rev. B 89, 205112 (2014)
K.B. Marinov, A.D. Boardman, V.A. Fedotov, N.I. Zheludev, New J. Phys. 9, 324 (2007)
K. Baryshnikova, D. Smirnova, B. Luk'Yanchuk, Y. Kivshar, Adv. Opt. Mater. 7, 1801350 (2019)
L. Cong, R. Singh, Y.K. Srivastava, Conf. Lasers Electro. Opt. (CLEO) 37, JTu5A (2017)
Z. Song, Y. Deng, Y. Zhou, Z. Liu, IEEE Photonics J. 11, 1 (2019)
D. Grischkowsky, J. Opt. Soc. B 7, 2006 (1990)
M.A. Ordal, L.L. Long, R.J. Bell, S.E. Bell, R.R. Bell, R.W. Alexander Jr., C.A. Ward, Appl. Opt. 22, 1099 (1983)
A. Ahmadivand, B. Gerislioglu, A. Tomitaka, P. Manickam, A. Kaushik, S. Bhansali, M. Nair, N. Pala, Biomed. Opt. Express 9, 373 (2018)
J. Zhou, E.N. Economon, T. Koschny, C.M. Soukoulis, Opt. Lett. 31, 3620 (2006)
Z.G. Dong, J. Zhu, J. Rho, J.Q. Li, C. Lu, X. Yin, X. Zhang, Appl. Phys. Lett. 101, 144105 (2012)
Y.W. Huang, W.T. Chen, P.C. Wu, V. Fedotov, V. Savinov, Y.Z. Ho, Y.F. Chau, N.I. Zheludev, D.P. Tsai, Opt. Express 20, 1760 (2012)
Acknowledgement
This research was supported by the National Natural Science Foundation of China (Grant numbers 61505146 and 61705167), and the Science Development Foundation of Tianjin University of Technology and Education (Grant number KJ1920), and the Start-up project of scientific research of Tianjin University of Technology and Education (Grant number KYQD1718 and KYQD1907).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Zhu, J., Wang, S., Zhao, X. et al. Z-Shaped toroidal dipole planar terahertz metasurfaces. Appl. Phys. B 126, 48 (2020). https://doi.org/10.1007/s00340-020-7395-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00340-020-7395-5