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Dynamic study and applications of metamaterial systems |
Xun-ya JIANG(蒋寻涯)1(), Zheng LIU(刘征)1, Zi-xian LIANG(梁子贤)1, Pei-jun YAO(姚培军)2, Xu-lin LIN(林旭林)1 |
1. National Key Laboratory of the Functional Material, Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China; 2. Department of Physics, University of Science and Technology of China, Hefei 230026, China |
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Abstract We investigate the dynamic characteristics of metamaterial systems, such as the temporal coherence gain of the superlens, the causality limitation on the ideal cloaking systems, the relaxation process and essential elements in the dispersive cloaking systems, and the extending of the working frequency range of cloaking systems. The key point of our study is the physical dispersive properties of metamaterials, which are well-known to be intrinsically strongly dispersive. With physical dispersion, new physical pictures can be obtained for the waves propagating inside metamaterial, such as the “group retarded time” for waves inside the superlens and cloak, the causality limitation on real metamaterial systems, and the essential elements for design optimization. Therefore, we believe the dynamic study of metamaterials will be an important direction for further research. All theoretical derivations and conclusions are demonstrated by powerful finite-difference time-domain simulations.
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Keywords
metamaterial
dynamic
dispersion
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Corresponding Author(s):
null,Email:xyjiang@mail.sim.ac.cn
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Issue Date: 05 March 2011
|
|
1 |
V. G. Veselago, Sov. Phys. Usp. , 1968, 10: 509 doi: 10.1070/PU1968v010n04ABEH003699
|
2 |
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
|
3 |
R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. , 2001, 78: 489 doi: 10.1063/1.1343489
|
4 |
R. A. Shelby, D. R. Smith, and S. Schultz, Science , 2001, 292: 77 doi: 10.1126/science.1058847
|
5 |
E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Phys. Rev. Lett. , 2003, 91: 207401 doi: 10.1103/PhysRevLett.91.207401
|
6 |
E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) , 2003, 423: 604 doi: 10.1038/423604b
|
7 |
P. Markos and C. M. Soukoulis, Phys. Rev. B , 2001, 65: 033401 doi: 10.1103/PhysRevB.65.033401
|
8 |
D. R. Smith and N. Kroll, Phys. Rev. Lett. , 2000, 85: 2933 doi: 10.1103/PhysRevLett.85.2933
|
9 |
P. Yao, Z. Liang, and X. Jiang, Appl. Phys. Lett. , 2008, 92: 031111 doi: 10.1063/1.2814039
|
10 |
H. L. Luo, W. Hu, and Z. Z. Ren, Europhys. Lett. , 2006, 74: 1081 doi: 10.1209/epl/i2006-10046-4
|
11 |
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
|
12 |
J. B. Pendry, Phys. Rev. Lett. , 2000, 85: 3966 doi: 10.1103/PhysRevLett.85.3966
|
13 |
J. B. Pendry, Phys. Rev. Lett. , 2003, 91: 099701 doi: 10.1103/PhysRevLett.91.099701
|
14 |
D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. , 2003, 82: 1506 doi: 10.1063/1.1554779
|
15 |
G. Gomez-Santos, Phys. Rev. Lett. , 2003, 90: 077401 doi: 10.1103/PhysRevLett.90.077401
|
16 |
S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. , 2003, 90: 107402 doi: 10.1103/PhysRevLett.90.107402
|
17 |
J. B. Pendry and D. R. Smith, Phys. Rev. Lett. , 2003, 90: 029703 doi: 10.1103/PhysRevLett.90.029703
|
18 |
X. S. Rao and C. K. Ong, Phys. Rev. B , 2003, 68: 113103 doi: 10.1103/PhysRevB.68.113103
|
19 |
X. S. Rao and C. K. Ong, Phys. Rev. E , 2003, 68: 067601 doi: 10.1103/PhysRevE.68.067601
|
20 |
M. W. Feise and Y. S. Kivshar, Phys. Lett. A , 2005, 334: 326 doi: 10.1016/j.physleta.2004.11.031
|
21 |
L. Zhou and C. T. Chan, Appl. Phys. Lett. , 2005, 86: 101104 doi: 10.1063/1.1879104
|
22 |
Y. Zhang, T. M. Grzegorczyk, and J. A. Kong, PIER , 2002, 35: 271 doi: 10.2528/PIER01081901
|
23 |
L. Chen, S. He, and L. Shen, Phys. Rev. Lett. , 2004, 92: 107404 doi: 10.1103/PhysRevLett.92.107404
|
24 |
R. W. Ziolkowski and E. Heyman, Phys. Rev. E , 2001, 64: 056625 doi: 10.1103/PhysRevE.64.056625
|
25 |
S. A. Cummer, Appl. Phys. Lett. , 2003, 82: 1503 doi: 10.1063/1.1554778
|
26 |
P. F. Loschialpo, D. L. Smith, D. W. Forester, F. J. Rachford, and J. Schelleng, Phys. Rev. E , 2003, 67: 025602(R) doi: 10.1103/PhysRevE.67.025602
|
27 |
R. Merlin, Appl. Phys. Lett. , 2004, 84: 1290 doi: 10.1063/1.1650548
|
28 |
C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B , 2003, 68: 045115 doi: 10.1103/PhysRevB.68.045115
|
29 |
N. Engheta, IEEE Antennas and Wireless Propagation Lett. , 2002, 1: 10 doi: 10.1109/LAWP.2002.802576
|
30 |
I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E , 2003, 67: 057602 doi: 10.1103/PhysRevE.67.057602
|
31 |
A. C. Peacock and N. G. R. Broderick, 2003, 11: 2502
|
32 |
B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, New York: John Wiley & Sons, 1991 doi: 10.1002/0471213748
|
33 |
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, Cambridge: Cambridge University Press, 1995
|
34 |
M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge: Cambridge University Press, 1997
|
35 |
X. Jiang and C. M. Soukoulis, Phys. Rev. Lett. , 2000, 85: 70 doi: 10.1103/PhysRevLett.85.70
|
36 |
In our source frequency range, the index range is about - 1 - 0.0029i±(0.006+ 10-6i), so the focal length defference and reflection are very small.
|
37 |
The “group velocity” is not a well-defined value if the working frequency ω0 is near the resonant frequency ωa of the NIM. But the GRT is still well-defined.
|
38 |
X. Y. Jiang, , unpublished
|
39 |
U. Leonhardt, Science , 2006, 312: 1777 doi: 10.1126/science.1126493
|
40 |
J. B. Pendry, D. Schurig, and D. R. Smith, Science , 2006, 312: 1780 doi: 10.1126/science.1125907
|
41 |
S. A. Cummer, B. I. Popa, D. Schurig, and D. R. Smith, Phys. Rev. E , 2006, 74: 036621 doi: 10.1103/PhysRevE.74.036621
|
42 |
W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nature Photonics , 2007, 1: 224 doi: 10.1038/nphoton.2007.28
|
43 |
W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, Appl. Phys. Lett. , 2007, 91: 111105 doi: 10.1063/1.2783266
|
44 |
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
|
45 |
H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. , 2007, 99: 063903 doi: 10.1103/PhysRevLett.99.063903
|
46 |
Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, Phys. Rev. Lett. , 2007, 99: 113903 doi: 10.1103/PhysRevLett.99.113903
|
47 |
U. Leonhardt, New J. Phys. , 2006, 8: 118 doi: 10.1088/1367-2630/8/7/118
|
48 |
S. A. Cummer, Appl. Phys. Lett. , 2003, 82: 2008 doi: 10.1063/1.1564289
|
49 |
X. Jiang, W. Han, P. Yao, and W. Li, Appl. Phys. Lett. , 2006, 89: 221102 doi: 10.1063/1.2390627
|
50 |
P. Yao, W. Li, S. Feng, and X. Jiang, Opt. Express , 2006, 14: 12295 doi: 10.1364/OE.14.012295
|
51 |
A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd Ed., Boston: Artech House, 2000
|
52 |
The approximation of permittivity ? and permeability μ in this section are: Re[μθ(r, ω0)]max = 20, Re[μr(r, ω0)]min = 1/20 and Re[?z(r, ω0)]min = 1/5.
|
53 |
H. Chen, Z. Liang, P. Yao, X. Jiang, H. Ma, and C. T. Chan, Phys. Rev. B , 2007, 76: 241104 doi: 10.1103/PhysRevB.76.241104
|
54 |
R. L. Fante and M. T. McCormack, IEEE Trans. Antennas Propag. , 1968, 30: 1443
|
55 |
M. Kerker, J. Opt. Soc. Am. , 1975, 65: 376 doi: 10.1364/JOSA.65.000376
|
56 |
Z. C. Ruan, M. Yan, C. W. Neff, and M. Qiu, Phys. Rev. Lett. , 2007, 99: 113903 doi: 10.1103/PhysRevLett.99.113903
|
57 |
H. Y. Chen, X. Y. Jiang, and C. T. Chan, arXiv: 0707.1126v2 , 2007
|
58 |
D. Schurig, J. B. Pendry, and D. R. Smith, Opt. Express , 2006, 14: 9794 doi: 10.1364/OE.14.009794
|
59 |
H. Chen and C. T. Chan, Appl. Phys. Lett. , 2007, 90: 241105 doi: 10.1063/1.2748302
|
60 |
U. Leonhardt and T. G. Philbin, New J. Phys. , 2006, 8: 247 doi: 10.1088/1367-2630/8/10/247
|
61 |
When r′ → R1, μθ′ will tend to infinite. In order that it can be realizable in our numerical simulation, we limit its maximum value to 103.
|
62 |
Z. X. Liang, P. J. Yao, X. Y. Jiang, and X. W. Sun, unpublished
|
63 |
R. A. Shelby, D. R. Smith, and S. Schultz, Science , 2001, 92: 792
|
64 |
D. R. Smith and D. Schurig, Phys. Rev. Lett. , 2003, 90: 077405 doi: 10.1103/PhysRevLett.90.077405
|
65 |
C. G. Parazzoli, R. B. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. , 2003, 90: 107401 doi: 10.1103/PhysRevLett.90.107401
|
66 |
J. B. Pendry, Phys. Rev. Lett. , 2000, 85: 3966 doi: 10.1103/PhysRevLett.85.3966
|
67 |
N. Fang, H. Lee, C. Sun, and X. Zhang, Science , 2005, 308: 534 doi: 10.1126/science.1108759
|
68 |
T. Taubner, D. Korobkin, Y. Urzhumov, G. Shvets, and R. Hillenbrand, Science , 2006, 313: 1595 doi: 10.1126/science.1131025
|
69 |
J. B. Pendry, Opt. Express , 2003, 11: 755 doi: 10.1364/OE.11.000755
|
70 |
Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science , 2007, 315: 1686 doi: 10.1126/science.1137368
|
71 |
I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, Science , 2007, 315: 1699 doi: 10.1126/science.1138746
|
72 |
Z. Jacob, L. V. Alekseyev, and E. Narimanov, Opt. Express , 2006, 14: 8247 doi: 10.1364/OE.14.008247
|
73 |
A. Salandrino and N. Engheta, Phys. Rev. B , 2006, 74: 075103 doi: 10.1103/PhysRevB.74.075103
|
74 |
Z. B. Jacob, L. V. Alekseyev, and E. Narimanov, J. Opt. Soc. Am. A , 2007, 24: A52 doi: 10.1364/JOSAA.24.000A52
|
75 |
J. B. Pendry and S. A. Ramakrishna, J. Phys.: Condens. Matter , 2002, 14: 8463 doi: 10.1088/0953-8984/14/36/306
|
76 |
X. Li, Z. X. Liang, X. H. Liu, X. Y. Jiang, and J. Zi, Appl. Phys. Lett. , 2008, 93: 171111 doi: 10.1063/1.3012375
|
77 |
P. W. Milonni, Fast Light, Slow Light and Left-Handed Light, Institute of Physics, Great Britain: CRC Press, 2004 doi: 10.1201/9781420034332
|
78 |
As for the explanation of the static solution of the HI, it will be given in another paper.
|
79 |
D. R. Smith and N. Kroll, Phys. Rev. Lett. , 2000, 85: 2933 doi: 10.1103/PhysRevLett.85.2933
|
80 |
V. A. Podolskiy and E. E. Narimanov, Phys. Rev. B , 2005, 71: 201101 doi: 10.1103/PhysRevB.71.201101
|
81 |
R. Wangberg, J. Elser, E. E. Narimanov, and V. A. Podolskiy, J. Opt. Soc. Am. B , 2006, 23: 498 doi: 10.1364/JOSAB.23.000498
|
82 |
A. A. Govyadinov and V. A. Podolskiy, Phys. Rev. B , 2006, 73: 115108 doi: 10.1103/PhysRevB.73.155108
|
83 |
A. Salandrino and N. Engheta, Phys. Rev. B , 2006, 74: 115108 doi: 10.1103/PhysRevB.74.075103
|
84 |
N. Fang, H. Lee, C. Sun, and X. Zhang, Science , 2005, 308: 534 doi: 10.1126/science.1108759
|
85 |
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
|
86 |
J. B. Pendry and A. J. Holden, and W. J. Stewart, Phys. Rev. Lett. , 1996, 76: 4773 doi: 10.1103/PhysRevLett.76.4773
|
87 |
B. E. A. Saleh and M. C. Teich, Foundamentals of Photonics, New York: John Wiley & Sons, Inc., 1991 doi: 10.1002/0471213748
|
88 |
S. A. Cummer, B. I. Popa, D. Schurig, and D. R. Smith, Phys. Rev. E , 2006, 74: 036621 doi: 10.1103/PhysRevE.74.036621
|
89 |
S. Zhang, D. A. Genov, C. Sun, and X. Zhang, Phys. Rev. Lett. , 2008, 85: 123002 doi: 10.1103/PhysRevLett.100.123002
|
90 |
D. A. Genov, S. Zhang, and X. Zhang, Nature Physics , 2009, 5: 687 doi: 10.1038/nphys1338
|
91 |
P. Yao, Z. Liang, and X. Jiang, Appl. Phys. Lett. , 2008, 92: 031111
|
92 |
H. Chen, Z. Liang, P. Yao, X. Jiang, H. Ma, and C. T. Chan, Phys. Rev. B , 2007, 76: 241104(R) doi: 10.1103/PhysRevB.76.241104
|
93 |
H. Chen and C. T. Chan, J. Appl. Phys. , 2008, 104: 033113 doi: 10.1063/1.2967815
|
94 |
Z. Liang, P. Yao, X. Sun, and X. Jiang, Appl. Phys. Lett. , 2008, 92: 131118 doi: 10.1063/1.2840703
|
95 |
B. Zhang, B. I. Wu, and H. Chen, Opt. Express , 2009, 17: 6721 doi: 10.1364/OE.17.006721
|
96 |
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
|
97 |
J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nature Materials , 2009, 8: 568 doi: 10.1038/nmat2461
|
98 |
D. H. Kwon and D. H. Werner, Opt. Express , 2008, 16: 18731 doi: 10.1364/OE.16.018731
|
99 |
T. Yang, H. Chen, X. Luo, and H. Ma, Opt. Express , 2008, 16: 18545 doi: 10.1364/OE.16.018545
|
100 |
H. Chen, X. Luo, H. Ma, and C. T. Chan, Opt. Express , 2008, 16: 14603 doi: 10.1364/OE.16.014603
|
101 |
Y. Lai, H. Chen, Z. Q. Zhang, and C. T. Chan, New J. Phys. , 2009, 11: 033010 doi: 10.1088/1367-2630/11/11/113035
|
102 |
J. B. Pendry, Phys. Rev. Lett. , 2000, 85: 3966 doi: 10.1103/PhysRevLett.85.3966
|
103 |
J. B. Pendry and S. A. Ramakrishna, J. Phys.: Condens. Matter , 2002, 14: 8463 8479 doi: 10.1088/0953-8984/14/36/306
|
104 |
J. B. Pendry and S. A. Ramakrishna, J. Phys.: Condens. Matter , 2003, 15: 6345 doi: 10.1088/0953-8984/15/37/004
|
105 |
U. Leonhardt and T. G. Philbin, New J. Phys. , 2006, 8: 247 doi: 10.1088/1367-2630/8/10/247
|
106 |
X. Jiang and C. M. Soukoulis, Phys. Rev. Lett. , 2000, 85: 70 doi: 10.1103/PhysRevLett.85.70
|
107 |
Y. Lai, J. Ng, H. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. , 2009, 102: 253902 doi: 10.1103/PhysRevLett.102.253902
|
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