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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2019 Impact Factor: 2.502

Front. Phys.   2010, Vol. 5 Issue (3): 277-290   https://doi.org/10.1007/s11467-010-0101-z
  Research articles 本期目录
Hybridization effect in coupled metamaterials
Hybridization effect in coupled metamaterials
Hui LIU(刘辉),Tao LI(李涛),Shu-ming WANG(王漱明),Shi-ning ZHU(祝世宁),
National Laboratory of Solid State Microstructures, Department of Physics, Nanjing University, Nanjing 210093, China;
 全文: PDF(736 KB)  
Abstract:Although the invention of the metamaterials has stimulated the interest of many researchers and possesses many important applications, the basic design idea is very simple: composing effective media from many small structured elements and controlling its artificial EM properties. According to the effective-media model, the coupling interactions between the elements in metamaterials are somewhat ignored; therefore, the effective properties of metamaterials can be viewed as the “averaged effect” of the resonance property of the individual elements. However, the coupling interaction between elements should always exist when they are arranged into metamaterials. Sometimes, especially when the elements are very close, this coupling effect is not negligible and will have a substantial effect on the metamaterials’ properties. In recent years, it has been shown that the interaction between resonance elements in metamaterials could lead to some novel phenomena and interesting applications that do not exist in conventional uncoupled metamaterials. In this paper, we will give a review of these recent developments in coupled metamaterials. For the “metamolecule” composed of several identical resonators, the coupling between these units produces multiple discrete resonance modes due to hybridization. In the case of a “metacrystal” comprising an infinite number of resonators, these multiple discrete resonances can be extended to form a continuous frequency band by strong coupling. This kind of broadband and tunable coupled metamaterial may have interesting applications. Many novel metamaterials and nanophotonic devices could be developed from coupled resonator systems in the future.
Key wordsmetamaterial    plasmon    negative refraction    hybridization effect
出版日期: 2010-09-05
 引用本文:   
. Hybridization effect in coupled metamaterials[J]. Front. Phys. , 2010, 5(3): 277-290.
Hui LIU(刘辉), Tao LI(李涛), Shu-ming WANG(王漱明), Shi-ning ZHU(祝世宁), . Hybridization effect in coupled metamaterials. Front. Phys. , 2010, 5(3): 277-290.
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https://academic.hep.com.cn/fop/CN/10.1007/s11467-010-0101-z
https://academic.hep.com.cn/fop/CN/Y2010/V5/I3/277
V. G. Veselago, Sov. Phys. USPEKHI, 1968, 10: 509

doi: 10.1070/PU1968v010n04ABEH003699
J. Brown, Proc. IEE, 1953, 100C: 51
W. Rotman, IEEE Trans. Antennas Propag., 1962, 10: 82

doi: 10.1109/TAP.1962.1137809
J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett., 1996, 76: 4773

doi: 10.1103/PhysRevLett.76.4773
J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech., 1999, 47: 2075

doi: 10.1109/22.798002
D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett., 2000, 84: 4184

doi: 10.1103/PhysRevLett.84.4184
R. A. Shelby, D. R. Smith, and S. Schultz, Science, 2001, 292: 77

doi: 10.1126/science.1058847
J. B. Pendry, Phys. Rev. Lett., 2000, 85: 3966

doi: 10.1103/PhysRevLett.85.3966
N. Fang, H. Lee, C. Sun, and X. Zhang, Science, 2005, 308: 534

doi: 10.1126/science.1108759
Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science, 2007, 315: 1686

doi: 10.1126/science.1137368
X. Zhang and Z. W. Liu, Nature Materials, 2008, 7: 435

doi: 10.1038/nmat2141
M. C. K. Wiltshire, J. B. Pendry, I. R. Young, D. J. Larkman, D. J. Gilderdale, and J. V. Hajnal, Science, 2001, 291: 849

doi: 10.1126/science.291.5505.849
M. C. K. Wiltshire, J. V. Hajnal, J. B. Pendry, D. J. Edwards, and C. J. Stevens, Opt. Express, 2003, 11: 709

doi: 10.1364/OE.11.000709
T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science, 2004, 303: 1494

doi: 10.1126/science.1094025
S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science, 2004, 306: 1351

doi: 10.1126/science.1105371
C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Phys. Rev. Lett., 2005, 95: 203901

doi: 10.1103/PhysRevLett.95.203901
Y. Svirko, N. Zheludev, and M. Osipov, Appl. Phys. Lett., 2001, 78: 498

doi: 10.1063/1.1342210
V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys.Mater., 2002, 11: 65

doi: 10.1142/S0218863502000833
V. M. Shalaev, W. S. Cai, U. K. Chettiar, H. K. Yuan, A.K. Sarychev, V. P. Drachev, and A. V. Kildishev, Opt. Lett., 2005, 30: 3356

doi: 10.1364/OL.30.003356
S. Zhang, W. J. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett., 2005, 95: 137404

doi: 10.1103/PhysRevLett.95.137404
J. Yao, Z. W. Liu, Y. M. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, Science, 2008, 321: 930

doi: 10.1126/science.1157566
J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature, 2008, 455: 376

doi: 10.1038/nature07247
J. B. Pendry, Contemporary Physics, 2004, 45: 191

doi: 10.1080/00107510410001667434
J. B. Pendry, Nature Materials, 2006, 5: 599

doi: 10.1038/nmat1697
V. M. Shalaev, Nature Photonics, 2007, 1: 41

doi: 10.1038/nphoton.2006.49
C. M. Soukoulis, S. Linden, and M. Wegener, Science, 2007, 315: 47

doi: 10.1126/science.1136481
V. G. Veselago and E. E. Narimanov, Nature Materials, 2006, 5: 759

doi: 10.1038/nmat1746
J. B. Pendry, D. Schurig, and D. R. Smith, Science, 2006, 312: 1780

doi: 10.1126/science.1125907
D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science, 2006, 314: 977

doi: 10.1126/science.1133628
R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science, 2009, 323: 366

doi: 10.1126/science.1166949
J. Valentine, J. S. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nature Materials, 2009, 8: 568

doi: 10.1038/nmat2461
E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, Science, 2003, 302: 419

doi: 10.1126/science.1089171
E. Prodan and P. Nordlander, J. Chem. Phys., 2004, 120: 5444

doi: 10.1063/1.1647518
P. Nordlander, C. Oubre, E. Prodan, K. Li, and M. I. Stockman, Nano Lett., 2004, 4: 899

doi: 10.1021/nl049681c
D. W. Brandl, C. Oubre, and P. Nordlander, J. Chem. Phys., 2005, 123: 024701

doi: 10.1063/1.1949169
C. Oubre and P. Nordlander, J. Chem. Phys. B, 2005, 109: 10042

doi: 10.1021/jp044382x
P. Nordlander and E. Prodan, Nano Lett., 2004, 4: 2209

doi: 10.1021/nl0486160
H. Liu, D. A. Genov, D. M.Wu, Y. M. Liu, Z. W. Liu, C. Sun, S. N. Zhu, and X. Zhang, Phys. Rev. B, 2007, 76: 073101

doi: 10.1103/PhysRevB.76.073101
T. Q. Li, H. Liu, T. Li, S. M. Wang, F. M. Wang, R. X. Wu, P. Chen, S. N. Zhu, and X. Zhang, Appl. Phys. Lett., 2008, 92: 131111

doi: 10.1063/1.2905285
T. Q. Li, H. Liu, T. Li, S. M. Wang, J. X. Cao, Z. H. Zhu, Z. G. Dong, S. N. Zhu, and X. Zhang, Phys. Rev. B, 2009, 80: 115113

doi: 10.1103/PhysRevB.80.115113
N. Liu, H. Liu, S. N. Zhu, and H. Giessen, Nature Photonics, 2009, 3: 157

doi: 10.1038/nphoton.2009.4
N. Liu, H. C. Guo, L.W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Nature Materials, 2008, 7: 31

doi: 10.1038/nmat2072
H. C. Guo, N. Liu, L. W. Fu, T. P. Meyrath, T. Zentgraf, H. Schweizer, and H. Giessen, Opt. Express, 2007, 15: 12095

doi: 10.1364/OE.15.012095
N. Liu, H. C. Guo, L.W. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater., 2007, 19: 3628

doi: 10.1002/adma.200700123
F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, Phys. Rev. B, 2007, 76: 075110

doi: 10.1103/PhysRevB.76.075110
J. X. Cao, H. Liu, T. Li, S. M. Wang, T. Q. Li, S. N. Zhu, and X. Zhang, J. Opt. Soc. Am. B, 2009, 26: B96

doi: 10.1364/JOSAB.26.000B96
D. Y. Lu, H. Liu, T. Li, S. M. Wang, F. M. Wang, S. N. Zhu, and X. Zhang, Phys. Rev. B, 2008, 77: 214302

doi: 10.1103/PhysRevB.77.214302
M. Quinten, A. Leitner, J. R. Krenn, and F. R. Aussenegg, Opt. Lett., 1998, 23: 1331

doi: 10.1364/OL.23.001331
M. L. Brongersma, J. W. Hartman, and H. A. Atwater, Phys. Rev. B, 2000, 62: 16356

doi: 10.1103/PhysRevB.62.R16356
S. A. Maier, P. G. Kik, and H. A. Atwater, Phys. Rev. B, 2003, 67: 205402

doi: 10.1103/PhysRevB.67.205402
W. H. Weber and G. W. Ford, Phys. Rev. B, 2004, 70: 125429

doi: 10.1103/PhysRevB.70.125429
C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, Phys. Rev. E, 2005, 72: 066606

doi: 10.1103/PhysRevE.72.066606
A. F. Koenderink and A. Polman, Phys. Rev. B, 2006, 74: 033402

doi: 10.1103/PhysRevB.74.033402
J. D. Jackson, Classical Eletrodynamics, New York: Wiley, 1999
E. Shamonina, V. Kalinin, K. H. Ringhofer, and L. Solymar, J. Appl. Phys., 2002, 92: 6252

doi: 10.1063/1.1510945
M. J. Freire, R. Marques, F. Medina, M. A. G. Laso, and F. Martin, Appl. Phys. Lett., 2004, 85: 4439

doi: 10.1063/1.1814428
R. R. A. Syms, E. Shamonina, V. Kalinin, and L. Solymar, J. Appl. Phys., 2005, 97: 064909

doi: 10.1063/1.1850182
I. V. Shadrivov, A. N. Reznik, and Y. S. Kivshar, Physica B, 2007, 394: 180

doi: 10.1016/j.physb.2006.12.038
O. Sydoruk, O. Zhuromskyy, E. Shamonina, and L. Solymar, Appl. Phys. Lett., 2005, 87: 072501

doi: 10.1063/1.2011789
O. Sydoruk, A. Radkovskaya, O. Zhuromskyy, E. Shamonina, M. Shamonin, C. J. Stevens, G. Faulkner, D. J. Edwards, and L. Solymar, Phys. Rev. B, 2006, 73: 224406

doi: 10.1103/PhysRevB.73.224406
M. Beruete, F. Falcone, M. J. Freire, R. Marques, and J. D. Baena, Appl. Phys. Lett., 2006, 88: 2006

doi: 10.1063/1.2176850
F. Hesmer, E. Tatartschuk, O. Zhuromskyy, A. A. Radkovskaya, M. Shamonin, T. Hao, C. J. Stevens, G. Faulkner, D. J. Edwards, and E. Shamonina, Phys. Stat. Sol. (B), 2007, 244: 1170

doi: 10.1002/pssb.200674501
R. R. A. Syms, E. Shamonina, and L. Solymar, IEE. Proc. Microw. Antennas Propag., 2006, 153: 111

doi: 10.1049/ip-map:20050119
I. S. Nefedov and S. A. Tretyakov, Microw. Opt. Tech.Lett., 2005, 45: 98

doi: 10.1002/mop.20735
R. R. A. Syms, L. Solymar, and I. R. Young, Metamaterials, 2008, 2: 122

doi: 10.1016/j.metmat.2008.03.003
M. J. Freire and R. Marques, Appl. Phys. Lett., 2005, 86: 182505

doi: 10.1063/1.1922074
O. Sydoruk, M. Shamonin, A. Radkovskaya, O. Zhuromskyy, E. Shamonina, R. Trautner, C. J. Stevens, G. Faulkner, D. J. Edwards, and L. Solymar, J. Appl. Phys., 2007, 101: 073903

doi: 10.1063/1.2714782
H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, Phys. Rev. Lett., 2006, 97: 243902

doi: 10.1103/PhysRevLett.97.243902
T. Li, R. X. Ye, C. Li, H. Liu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, Opt. Express, 2009, 17: 11486

doi: 10.1364/OE.17.011486
J. Zhou, T. Koschny, M. Kafesaki, E. N. Economou, J. B. Pendry, and C. M. Soukoulis, Phys. Rev. Lett., 2005, 95: 223902

doi: 10.1103/PhysRevLett.95.223902
H. Liu, T. Li, Q. J. Wang, Z. H. Zhu, S. M. Wang, J. Q. Li, S. N. Zhu, Y. Y. Zhu, and X. Zhang, Phys. Rev. B, 2009, 79: 024304

doi: 10.1103/PhysRevB.79.024304
S. M. Wang, T. Li, H. Liu, F. M. Wang, S. N. Zhu, and X. Zhang, Opt. Express, 2008, 16: 3560

doi: 10.1364/OE.16.003560
S. M. Wang, T. Li, H. Liu, F. M. Wang, S. N. Zhu, and X. Zhang, Appl. Phys. Lett., 2008, 93: 233102

doi: 10.1063/1.3023064
D. R. Smith, P. Kolinko, and D. Schurig, J. Opt. Soc. Am. B, 2004, 21: 1032

doi: 10.1364/JOSAB.21.001032
A. B. Kozyrev, C. Qin, I. V. Shadrivov, Y. S. Kivshar, I. L. Chuang, and D. W. V. D. Weide, Opt. Express, 2007, 15: 11714

doi: 10.1364/OE.15.011714
R. R. A. Syms, E. Shamonina, and L. Solymar, Eur. Phys. J. B, 2005, 46: 301

doi: 10.1140/epjb/e2005-00253-9
O. Zhuromskyy, E. Shamonina, and L. Solymar, Opt. Express, 2005, 13: 9299

doi: 10.1364/OPEX.13.009299
T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature, 1998, 391: 667

doi: 10.1038/35570
S. Zhang, W. J. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, Opt. Express, 2005, 13: 4922

doi: 10.1364/OPEX.13.004922
S. Zhang, W. J. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. O. Osgood, J. Opt. Soc. Am. B, 2006, 23: 434

doi: 10.1364/JOSAB.23.000434
G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, Opt. Lett., 2006, 31: 1800

doi: 10.1364/OL.31.001800
G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, Science, 2006, 312: 892

doi: 10.1126/science.1126021
G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, Opt. Lett., 2007, 32: 53

doi: 10.1364/OL.32.000053
S. Zhang, W. J. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. Brueck, Opt. Express, 2006, 14: 6778

doi: 10.1364/OE.14.006778
T. Li, H. Liu, F. M. Wang, Z. G. Dong, S. N. Zhu, and X. Zhang, Opt. Express, 2006, 14: 11155

doi: 10.1364/OE.14.011155
G. Dolling, M. Wegener, A. Schadle, S. Burger, and S. Linden, Appl. Phys. Lett., 2006, 89: 231118

doi: 10.1063/1.2403905
T. Li, J. Q. Li, F. M. Wang, Q. J. Wang, H. Liu, S. N. Zhu, and Y. Y. Zhu, Appl. Phys. Lett., 2007, 90: 251112

doi: 10.1063/1.2750394
T. Li, S. M. Wang, H. Liu, J. Q. Li, F. M. Wang, S. N. Zhu, and X. Zhang, J. Appl. Phys., 2008, 103: 023104

doi: 10.1063/1.2828178
A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, Phys. Rev. Lett., 2008, 101: 103902

doi: 10.1103/PhysRevLett.101.103902
R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, Phys. Rev. B, 2009, 79: 079425

doi: 10.1103/PhysRevB.79.075425
C. Garcia-Meca, R. Ortuno, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, Opt. Lett., 2009, 34: 1603

doi: 10.1364/OL.34.001603
A. Mary, S. G. Rodrigo, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. B, 2009, 80: 165431

doi: 10.1103/PhysRevB.80.165431
T. Li, H. Liu, F. M. Wang, J. Q. Li, Y. Y. Zhu, and S. N. Zhu, Phys. Rev. E, 2007, 76: 016606

doi: 10.1103/PhysRevE.76.016606
M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, Science, 2006, 313: 502

doi: 10.1126/science.1129198
N. Feth, S. Linden, M. W. Klein, M. Decker, F. B. P. Niesler, Y. Zeng, W. Hoyer, J. Liu, S. W. Koch, J. V. Moloney, and M. Wegener, Opt. Lett., 2008, 33: 1975

doi: 10.1364/OL.33.001975
A. K. Sarychev and G. Tartakovsky, Phys. Rev. B, 2007, 75: 085436

doi: 10.1103/PhysRevB.75.085436
Z. H. Zhu, H. Liu, S. M. Wang, T. Li, J. X. Cao, W. M. Ye, X. D. Yuan, and S. N. Zhu, Appl. Phys. Lett., 2009, 94: 103106

doi: 10.1063/1.3095437
N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nature Photonics, 2008, 2: 351

doi: 10.1038/nphoton.2008.82
Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, Opt. Express, 2008, 16: 20974

doi: 10.1364/OE.16.020974
Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, Phys. Rev. B, 2009, 80: 235116

doi: 10.1103/PhysRevB.80.235116
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