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Terahertz imaging employing graphene modulator arrays |
Optics Express, Vol. 21, Issue 2, pp. 2324-2330 (2013)
http://dx.doi.org/10.1364/OE.21.002324
Acrobat PDF (1174 KB)
Abstract
In this paper we propose and experimentally demonstrate arrays of graphene electro-absorption modulators as electrically reconfigurable patterns for terahertz cameras. The active element of these modulators consists of only single-atom-thick graphene, achieving a modulation of the THz wave reflectance > 50% with a potential modulation depth approaching 100%. Although the prototype presented here only contains 4x4 pixels, it reveals the possibility of developing reliable low-cost video-rate THz imaging systems employing single detector.
© 2013 OSA
1. Introduction
M. Tonouchi, “Cutting-edge terahertz technology,” Nat. Photonics 1(2), 97–105 (2007). [CrossRef]
W. L. Chan, J. Deibel, and D. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70(8), 1325–1379 (2007). [CrossRef]
J. F. Federici, B. Schulkin, F. Huang, D. Gary, R. Barat, F. Oliveira, and D. Zimdars, “THz imaging and sensing for security applications—explosives, weapons and drugs,” Semicond. Sci. Technol. 20(7), S266–S280 (2005). [CrossRef]
H.-B. Liu, H. Zhong, N. Karpowicz, Y. Chen, and X.-C. Zhang, “Terahertz Spectroscopy and Imaging for Defense and Security Applications,” Proc. IEEE 95(8), 1514–1527 (2007). [CrossRef]
J. B. Jackson, M. Mourou, J. F. Whitaker, I. N. Duling III, S. L. Williamson, M. Menu, and G. A. Mourou, “Terahertz imaging for non-destructive evaluation of mural paintings,” Opt. Commun. 281(4), 527–532 (2008). [CrossRef]
J. L. Tomaino, A. D. Jameson, J. W. Kevek, M. J. Paul, A. M. van der Zande, R. A. Barton, P. L. McEuen, E. D. Minot, and Y.-S. Lee, “Terahertz imaging and spectroscopy of large-area single-layer graphene,” Opt. Express 19(1), 141–146 (2011). [CrossRef] [PubMed]
J. D. Buron, D. H. Petersen, P. Bøggild, D. G. Cooke, M. Hilke, J. Sun, E. Whiteway, P. F. Nielsen, O. Hansen, A. Yurgens, and P. U. Jepsen, “Graphene conductance uniformity mapping,” Nano Lett. 12(10), 5074–5081 (2012). [CrossRef] [PubMed]
A. J. Fitzgerald, E. Berry, N. N. Zinovev, G. C. Walker, M. A. Smith, and J. M. Chamberlain, “An introduction to medical imaging with coherent terahertz frequency radiation,” Phys. Med. Biol. 47(7), R67–R84 (2002). [CrossRef] [PubMed]
S. Nakajima, H. Hoshina, M. Yamashita, C. Otani, and N. Miyoshi, “Terahertz imaging diagnostics of cancer tissues with a chemometrics technique,” Appl. Phys. Lett. 90(4), 041102 (2007). [CrossRef]
Z. Jiang and X.-C. Zhang, “Terahertz imaging via electrooptic effect,” IEEE Trans. Microw. Theory Tech. 47(12), 2644–2650 (1999). [CrossRef]
W. L. Chan, H.-T. Chen, A. J. Taylor, I. Brener, M. J. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [CrossRef]
J. Xu and X.-C. Zhang, “Terahertz wave reciprocal imaging,” Appl. Phys. Lett. 88(15), 151107 (2006). [CrossRef]
W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, “A single-pixel terahertz imaging system based on compressed sensing,” Appl. Phys. Lett. 93(12), 121105 (2008). [CrossRef]
W. L. Chan, H.-T. Chen, A. J. Taylor, I. Brener, M. J. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [CrossRef]
B. Sensale-Rodriguez, T. Fang, R. Yan, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Unique prospects for graphene-based terahertz modulators,” Appl. Phys. Lett. 99, 113104 (2011). [CrossRef]
S. H. Lee, M. Choi, T.-T. Kim, S. Lee, M. Liu, X. Yin, H. K. Choi, S. S. Lee, C.-G. Choi, S.-Y. Choi, X. Zhang, and B. Min, “Switching terahertz waves with gate-controlled active graphene metamaterials,” Nat. Mater. 11(11), 936–941 (2012). [CrossRef] [PubMed]
2. Device structure and THz measurement setup
X. Li, W. Cai, J. An, S. Kim, J. Nah, D. Yang, R. Piner, A. Velamakanni, I. Jung, E. Tutuc, S. K. Banerjee, L. Colombo, and R. S. Ruoff, “Large-area synthesis of high-quality and uniform graphene films on copper foils,” Science 324(5932), 1312–1314 (2009). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed]
L. Liu, J. L. Hesler, R. M. Weikle, T. Wang, P. Fay, and H. G. Xing, “A 570-630 GHz frequency domain spectroscopy system based on a broadband quasi-optical Schottky diode detector,” Int. J. High Speed Electron. Syst. 20, 629–638 (2011). [CrossRef]
L. Liu, J. L. Hesler, H. Xu, A. W. Lichtenberger, and R. M. Weikle, “A broadband quasi-optical terahertz detector using a zero bias Schottky diode,” IEEE Microw. Wireless Compon. Lett. 20(9), 504–506 (2010). [CrossRef]
3. Principle and verification of modulator operation
B. Sensale-Rodriguez, T. Fang, R. Yan, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Unique prospects for graphene-based terahertz modulators,” Appl. Phys. Lett. 99, 113104 (2011). [CrossRef]
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat Commun 3, 780 (2012). [CrossRef] [PubMed]
D. B. M. Klaassen, “A unified mobility model for device simulation – I. Model equations and concentration dependence,” Solid-State Electron. 35(7), 953–959 (1992). [CrossRef]
B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat Commun 3, 780 (2012). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed]
N. M. R. Peres and T. Stauber, “Transport in a clean graphene sheet at finite temperature and frequency,” Int. J. Mod. Phys. B 22(16), 2529–2536 (2008). [CrossRef]
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed]
L. Liu, J. L. Hesler, R. M. Weikle, T. Wang, P. Fay, and H. G. Xing, “A 570-630 GHz frequency domain spectroscopy system based on a broadband quasi-optical Schottky diode detector,” Int. J. High Speed Electron. Syst. 20, 629–638 (2011). [CrossRef]
4. Imaging experiments
W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, “A single-pixel terahertz imaging system based on compressed sensing,” Appl. Phys. Lett. 93(12), 121105 (2008). [CrossRef]
B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat Commun 3, 780 (2012). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat Commun 3, 780 (2012). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed]
S. H. Lee, M. Choi, T.-T. Kim, S. Lee, M. Liu, X. Yin, H. K. Choi, S. S. Lee, C.-G. Choi, S.-Y. Choi, X. Zhang, and B. Min, “Switching terahertz waves with gate-controlled active graphene metamaterials,” Nat. Mater. 11(11), 936–941 (2012). [CrossRef] [PubMed]
R. Yan, B. Sensale-Rodriguez, L. Liu, D. Jena, and H. G. Xing, “A new class of electrically tunable metamaterial terahertz modulators,” Opt. Express 20(27), 28664–28671 (2012). [CrossRef] [PubMed]
B. Sensale-Rodriguez, R. Yan, M. Zhu, D. Jena, L. Liu, and H. G. Xing, “Efficient terahertz electro-absorption modulation employing graphene plasmonic structures,” Appl. Phys. Lett. 101(26), 261115 (2012). [CrossRef]
L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, “Graphene plasmonics for tunable terahertz metamaterials,” Nat. Nanotechnol. 6(10), 630–634 (2011). [CrossRef] [PubMed]
Acknowledgments
References and links
M. Tonouchi, “Cutting-edge terahertz technology,” Nat. Photonics 1(2), 97–105 (2007). [CrossRef] | |
W. L. Chan, J. Deibel, and D. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70(8), 1325–1379 (2007). [CrossRef] | |
J. F. Federici, B. Schulkin, F. Huang, D. Gary, R. Barat, F. Oliveira, and D. Zimdars, “THz imaging and sensing for security applications—explosives, weapons and drugs,” Semicond. Sci. Technol. 20(7), S266–S280 (2005). [CrossRef] | |
H.-B. Liu, H. Zhong, N. Karpowicz, Y. Chen, and X.-C. Zhang, “Terahertz Spectroscopy and Imaging for Defense and Security Applications,” Proc. IEEE 95(8), 1514–1527 (2007). [CrossRef] | |
J. B. Jackson, M. Mourou, J. F. Whitaker, I. N. Duling III, S. L. Williamson, M. Menu, and G. A. Mourou, “Terahertz imaging for non-destructive evaluation of mural paintings,” Opt. Commun. 281(4), 527–532 (2008). [CrossRef] | |
J. L. Tomaino, A. D. Jameson, J. W. Kevek, M. J. Paul, A. M. van der Zande, R. A. Barton, P. L. McEuen, E. D. Minot, and Y.-S. Lee, “Terahertz imaging and spectroscopy of large-area single-layer graphene,” Opt. Express 19(1), 141–146 (2011). [CrossRef] [PubMed] | |
J. D. Buron, D. H. Petersen, P. Bøggild, D. G. Cooke, M. Hilke, J. Sun, E. Whiteway, P. F. Nielsen, O. Hansen, A. Yurgens, and P. U. Jepsen, “Graphene conductance uniformity mapping,” Nano Lett. 12(10), 5074–5081 (2012). [CrossRef] [PubMed] | |
A. J. Fitzgerald, E. Berry, N. N. Zinovev, G. C. Walker, M. A. Smith, and J. M. Chamberlain, “An introduction to medical imaging with coherent terahertz frequency radiation,” Phys. Med. Biol. 47(7), R67–R84 (2002). [CrossRef] [PubMed] | |
S. Nakajima, H. Hoshina, M. Yamashita, C. Otani, and N. Miyoshi, “Terahertz imaging diagnostics of cancer tissues with a chemometrics technique,” Appl. Phys. Lett. 90(4), 041102 (2007). [CrossRef] | |
Z. Jiang and X.-C. Zhang, “Terahertz imaging via electrooptic effect,” IEEE Trans. Microw. Theory Tech. 47(12), 2644–2650 (1999). [CrossRef] | |
B. B. Hu and M. C. Nuss, “Imaging with terahertz waves,” Opt. Lett. 20(16), 1716–1718 (1995). [CrossRef] [PubMed] | |
D. Zimdars, “High speed terahertz reflection imaging,” Proc. SPIE 5692, 255–259 (2005). [CrossRef] | |
J. Xu and X.-C. Zhang, “Terahertz wave reciprocal imaging,” Appl. Phys. Lett. 88(15), 151107 (2006). [CrossRef] | |
W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, “A single-pixel terahertz imaging system based on compressed sensing,” Appl. Phys. Lett. 93(12), 121105 (2008). [CrossRef] | |
W. L. Chan, H.-T. Chen, A. J. Taylor, I. Brener, M. J. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [CrossRef] | |
B. Sensale-Rodriguez, T. Fang, R. Yan, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Unique prospects for graphene-based terahertz modulators,” Appl. Phys. Lett. 99, 113104 (2011). [CrossRef] | |
B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat Commun 3, 780 (2012). [CrossRef] [PubMed] | |
B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett. 12(9), 4518–4522 (2012). [CrossRef] [PubMed] | |
S. H. Lee, M. Choi, T.-T. Kim, S. Lee, M. Liu, X. Yin, H. K. Choi, S. S. Lee, C.-G. Choi, S.-Y. Choi, X. Zhang, and B. Min, “Switching terahertz waves with gate-controlled active graphene metamaterials,” Nat. Mater. 11(11), 936–941 (2012). [CrossRef] [PubMed] | |
X. Li, W. Cai, J. An, S. Kim, J. Nah, D. Yang, R. Piner, A. Velamakanni, I. Jung, E. Tutuc, S. K. Banerjee, L. Colombo, and R. S. Ruoff, “Large-area synthesis of high-quality and uniform graphene films on copper foils,” Science 324(5932), 1312–1314 (2009). [CrossRef] [PubMed] | |
L. Liu, J. L. Hesler, R. M. Weikle, T. Wang, P. Fay, and H. G. Xing, “A 570-630 GHz frequency domain spectroscopy system based on a broadband quasi-optical Schottky diode detector,” Int. J. High Speed Electron. Syst. 20, 629–638 (2011). [CrossRef] | |
L. Liu, J. L. Hesler, H. Xu, A. W. Lichtenberger, and R. M. Weikle, “A broadband quasi-optical terahertz detector using a zero bias Schottky diode,” IEEE Microw. Wireless Compon. Lett. 20(9), 504–506 (2010). [CrossRef] | |
D. B. M. Klaassen, “A unified mobility model for device simulation – I. Model equations and concentration dependence,” Solid-State Electron. 35(7), 953–959 (1992). [CrossRef] | |
N. M. R. Peres and T. Stauber, “Transport in a clean graphene sheet at finite temperature and frequency,” Int. J. Mod. Phys. B 22(16), 2529–2536 (2008). [CrossRef] | |
R. Yan, B. Sensale-Rodriguez, L. Liu, D. Jena, and H. G. Xing, “A new class of electrically tunable metamaterial terahertz modulators,” Opt. Express 20(27), 28664–28671 (2012). [CrossRef] [PubMed] | |
B. Sensale-Rodriguez, R. Yan, M. Zhu, D. Jena, L. Liu, and H. G. Xing, “Efficient terahertz electro-absorption modulation employing graphene plasmonic structures,” Appl. Phys. Lett. 101(26), 261115 (2012). [CrossRef] | |
L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, “Graphene plasmonics for tunable terahertz metamaterials,” Nat. Nanotechnol. 6(10), 630–634 (2011). [CrossRef] [PubMed] |
OCIS Codes
(230.4110) Optical devices : Modulators
(160.4236) Materials : Nanomaterials
(110.6795) Imaging systems : Terahertz imaging
ToC Category:
Imaging Systems
History
Original Manuscript: November 19, 2012
Revised Manuscript: January 13, 2013
Manuscript Accepted: January 14, 2013
Published: January 23, 2013
Citation
Berardi Sensale-Rodriguez, Subrina Rafique, Rusen Yan, Mingda Zhu, Vladimir Protasenko, Debdeep Jena, Lei Liu, and Huili Grace Xing, "Terahertz imaging employing graphene modulator arrays," Opt. Express 21, 2324-2330 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-2-2324
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References
- M. Tonouchi, “Cutting-edge terahertz technology,” Nat. Photonics1(2), 97–105 (2007). [CrossRef]
- W. L. Chan, J. Deibel, and D. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys.70(8), 1325–1379 (2007). [CrossRef]
- J. F. Federici, B. Schulkin, F. Huang, D. Gary, R. Barat, F. Oliveira, and D. Zimdars, “THz imaging and sensing for security applications—explosives, weapons and drugs,” Semicond. Sci. Technol.20(7), S266–S280 (2005). [CrossRef]
- H.-B. Liu, H. Zhong, N. Karpowicz, Y. Chen, and X.-C. Zhang, “Terahertz Spectroscopy and Imaging for Defense and Security Applications,” Proc. IEEE95(8), 1514–1527 (2007). [CrossRef]
- J. B. Jackson, M. Mourou, J. F. Whitaker, I. N. Duling, S. L. Williamson, M. Menu, and G. A. Mourou, “Terahertz imaging for non-destructive evaluation of mural paintings,” Opt. Commun.281(4), 527–532 (2008). [CrossRef]
- J. L. Tomaino, A. D. Jameson, J. W. Kevek, M. J. Paul, A. M. van der Zande, R. A. Barton, P. L. McEuen, E. D. Minot, and Y.-S. Lee, “Terahertz imaging and spectroscopy of large-area single-layer graphene,” Opt. Express19(1), 141–146 (2011). [CrossRef] [PubMed]
- J. D. Buron, D. H. Petersen, P. Bøggild, D. G. Cooke, M. Hilke, J. Sun, E. Whiteway, P. F. Nielsen, O. Hansen, A. Yurgens, and P. U. Jepsen, “Graphene conductance uniformity mapping,” Nano Lett.12(10), 5074–5081 (2012). [CrossRef] [PubMed]
- A. J. Fitzgerald, E. Berry, N. N. Zinovev, G. C. Walker, M. A. Smith, and J. M. Chamberlain, “An introduction to medical imaging with coherent terahertz frequency radiation,” Phys. Med. Biol.47(7), R67–R84 (2002). [CrossRef] [PubMed]
- S. Nakajima, H. Hoshina, M. Yamashita, C. Otani, and N. Miyoshi, “Terahertz imaging diagnostics of cancer tissues with a chemometrics technique,” Appl. Phys. Lett.90(4), 041102 (2007). [CrossRef]
- Z. Jiang and X.-C. Zhang, “Terahertz imaging via electrooptic effect,” IEEE Trans. Microw. Theory Tech.47(12), 2644–2650 (1999). [CrossRef]
- B. B. Hu and M. C. Nuss, “Imaging with terahertz waves,” Opt. Lett.20(16), 1716–1718 (1995). [CrossRef] [PubMed]
- D. Zimdars, “High speed terahertz reflection imaging,” Proc. SPIE5692, 255–259 (2005). [CrossRef]
- J. Xu and X.-C. Zhang, “Terahertz wave reciprocal imaging,” Appl. Phys. Lett.88(15), 151107 (2006). [CrossRef]
- W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, “A single-pixel terahertz imaging system based on compressed sensing,” Appl. Phys. Lett.93(12), 121105 (2008). [CrossRef]
- W. L. Chan, H.-T. Chen, A. J. Taylor, I. Brener, M. J. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett.94(21), 213511 (2009). [CrossRef]
- B. Sensale-Rodriguez, T. Fang, R. Yan, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Unique prospects for graphene-based terahertz modulators,” Appl. Phys. Lett.99, 113104 (2011). [CrossRef]
- B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat Commun3, 780 (2012). [CrossRef] [PubMed]
- B. Sensale-Rodriguez, R. Yan, S. Rafique, M. Zhu, W. Li, X. Liang, D. Gundlach, V. Protasenko, M. M. Kelly, D. Jena, L. Liu, and H. G. Xing, “Extraordinary control of terahertz beam reflectance in graphene electro-absorption modulators,” Nano Lett.12(9), 4518–4522 (2012). [CrossRef] [PubMed]
- S. H. Lee, M. Choi, T.-T. Kim, S. Lee, M. Liu, X. Yin, H. K. Choi, S. S. Lee, C.-G. Choi, S.-Y. Choi, X. Zhang, and B. Min, “Switching terahertz waves with gate-controlled active graphene metamaterials,” Nat. Mater.11(11), 936–941 (2012). [CrossRef] [PubMed]
- X. Li, W. Cai, J. An, S. Kim, J. Nah, D. Yang, R. Piner, A. Velamakanni, I. Jung, E. Tutuc, S. K. Banerjee, L. Colombo, and R. S. Ruoff, “Large-area synthesis of high-quality and uniform graphene films on copper foils,” Science324(5932), 1312–1314 (2009). [CrossRef] [PubMed]
- L. Liu, J. L. Hesler, R. M. Weikle, T. Wang, P. Fay, and H. G. Xing, “A 570-630 GHz frequency domain spectroscopy system based on a broadband quasi-optical Schottky diode detector,” Int. J. High Speed Electron. Syst.20, 629–638 (2011). [CrossRef]
- L. Liu, J. L. Hesler, H. Xu, A. W. Lichtenberger, and R. M. Weikle, “A broadband quasi-optical terahertz detector using a zero bias Schottky diode,” IEEE Microw. Wireless Compon. Lett.20(9), 504–506 (2010). [CrossRef]
- D. B. M. Klaassen, “A unified mobility model for device simulation – I. Model equations and concentration dependence,” Solid-State Electron.35(7), 953–959 (1992). [CrossRef]
- N. M. R. Peres and T. Stauber, “Transport in a clean graphene sheet at finite temperature and frequency,” Int. J. Mod. Phys. B22(16), 2529–2536 (2008). [CrossRef]
- R. Yan, B. Sensale-Rodriguez, L. Liu, D. Jena, and H. G. Xing, “A new class of electrically tunable metamaterial terahertz modulators,” Opt. Express20(27), 28664–28671 (2012). [CrossRef] [PubMed]
- B. Sensale-Rodriguez, R. Yan, M. Zhu, D. Jena, L. Liu, and H. G. Xing, “Efficient terahertz electro-absorption modulation employing graphene plasmonic structures,” Appl. Phys. Lett.101(26), 261115 (2012). [CrossRef]
- L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, “Graphene plasmonics for tunable terahertz metamaterials,” Nat. Nanotechnol.6(10), 630–634 (2011). [CrossRef] [PubMed]
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