THz Wave Propagation in Carbon Nanotube Arrays Under the Symplectic System
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摘要: 对于一个被周期性平行有限长碳纳米管阵列填充的平面波导,本文基于平行碳纳米管阵列的等效介质模型,忽略其空间色散,考虑了电磁波的损耗,从而得到填充介质的介电特性,并将电磁波在波导中的传播导入到Hamilton体系,同时考虑两侧边界条件均为理想导电边界条件,从而在辛理论框架下求解本征值方程,得到了电磁波传播色散关系.分析可知,存在一个窄的频段,电磁波基模无法传播,然而在频段外,电磁波基模传播具有极其低的损耗,这使得碳纳米管阵列具有宽频带传播的特性,这些特性使得碳纳米管阵列相比于传统材料具有更优的传播特性.Abstract: For a planar waveguide filled with periodic parallel finite-length carbon nanotube array, we got the dielectric properties of the parallel carbon nanotube array based on the equivalent medium model for parallel carbon nanotube arrays while ignoring the spatial dispersion but considering the electromagnetic wave propagation loss, respectively, and led the electromagnetic wave propagation in the waveguide into the Hamilton system with the ideal conductive boundary conditions, then we used the symplectic theory framework to solve the eigenvalue equations for the electromagnetic wave propagation and obtain the dispersion relationships. According to the analysis, it shows that the fundamental mode for the electromagnetic waveguide can't propagate within a narrow spectrum, however, the fundamental mode propagates smoothly with very low loss elsewhere, which makes the carbon nanotube array a waveguide material with better propagation characteristics in a wide spectrum than traditional materials.
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Key words:
- carbon nanotube array /
- terahertz /
- symplectic system /
- waveguide
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[1] de Volder M F L, Tawfick S H, Baughman R H, Hart A J. Carbon nanotubes: present and future commercial applications[J]. Science,2013,339(6119): 535-539. [2] Hanson G W. Fundamental transmitting properties of carbon nanotube antennas[J]. Antennas and Propagation, IEEE Transactions on,2005,53(11): 3426-3435. [3] Fu K, Zannoni R, Chan C, Adams S H, Nicholson J, Polizzi E, Yngvesson K S. Terahertz detection in single wall carbon nanotubes[J]. Applied Physics Letters,2008,92(3): 033105. [4] Kawano Y, Uchida T, Ishibashi K. Terahertz sensing with a carbon nanotube/two-dimensional electron gas hybrid transistor[J]. Applied Physics Letters,2009,95(8): 083123. [5] Wang Y, Kempa K, Kimball B, Carlson J B, Benham G, Li W Z, Kempa T, Rybczynski J, Herczynski A, Ren Z F. Receiving and transmitting light-like radio waves: antenna effect in arrays of aligned carbon nanotubes[J]. Applied Physics Letters,2004,85(13): 2607-2609. [6] Maksimenko S A, Slepyan G Y, Nemilentsau A M, Shuba M V. Carbon nanotube antenna: far-field, near-field and thermal-noise properties[J]. Physica E: Low-dimensional Systems and Nanostructures,2008,40(7): 2360-2364. [7] REN Lei, Pint C L, Booshehri L G, Rice W D, WANG Xiang-feng, Hilton D J, Takeya K, Kawayama I, Tonouchi M, Hauge R H, Kono J. Carbon nanotube terahertz polarizer[J]. Nano Letters,2009,9(7): 2610-2613. [8] Batrakov K G, Maksimenko S A, Kuzhir P P, Thomsen C. Carbon nanotube as a Cherenkov-type light emitter and free electron laser[J]. Physical Review B,2009,79(12): 125408. [9] Slepyan G Y, Maksimenko S A, Lakhtakia A, Yevtushenko O, Gusakov A V. Electrodynamics of carbon nanotubes: dynamic conductivity, impedance boundary conditions, and surface wave propagation[J]. Physical Review B,1999,60(24): 17136. [10] Maffucci A, Miano G, Villone F. A transmission line model for metallic carbon nanotube interconnects[J]. International Journal of Circuit Theory and Applications,2008,36(1): 31-51. [11] Shuba M V, Maksimenko S A, Lakhtakia A. Electromagnetic wave propagation in an almost circular bundle of closely packed, metallic, carbon nanotubes[J]. Physical Review B,2007,76(15): 155407. [12] Nefedov I S. Electromagnetic waves propagating in a periodic array of parallel metallic carbon nanotubes[J]. Physical Review B,2010,82(15): 155423. [13] García-Vidal F J, Pitarke J M, Pendry J B. Effective medium theory of the optical properties of aligned carbon nanotubes[J]. Physical Review Letters,1997,78(22): 4289-4292. [14] Nefedov I S, Tretyakov S A. An ultra-broadband electromagnetically indefinite medium formed by aligned carbon nanotubes[J]. Physical Review B,2011,84(11): 113410. [15] Hashemi S M, Nefedov I S. Wideband perfect absorption in arrays of tilted carbon nanotubes[J]. Physical Review B,2012,86(19): 195411. [16] Nefedov I S, Tretyakov S A. Effective medium model for two-dimensional periodic arrays of carbon nanotubes[J]. Photonics and Nanostructures—Fundamentals and Applications,2011,9(4): 374-380. [17] 钟万勰. 电磁波导的辛体系[J]. 大连理工大学学报, 2001,41(4): 379-387.(ZHONG Wan-xie. Symplectic system of electro-magnetic waveguide[J]. Journal of Dalian University of Technology,200141(4): 379-387.(in Chinese)) [18] 钟万勰. 周期电磁波导的能带辛分析[J]. 计算力学, 2001,18(4): 379-387.(ZHONG Wan-xie. Symplectic energy band analysis for periodical electro-magnetic wave guide[J]. Chinese Journal of Computational Mechanics,2001,18(4): 379-387.(in Chinese)) [19] 钟万勰. 电磁波导的半解析辛分析[J]. 力学学报, 2003,35(4): 401-410.(ZHONG Wan-xie. Symplectic semi-analytical method for electro-magnetic wave guide[J]. Acta Mechanica Sinica,2003,35(4): 401-410.(in Chinese)) [20] Simovski C R, Belov P A, Atrashchenko A V, Kivshar Y S. Wire metamaterials: physics and applications[J]. Advanced Materials,2012,24(31): 4229-4248. [21] Fan S, Chapline M G, Franklin N R, Tombler T W, Cassell A M, Dai H. Self-oriented regular arrays of carbon nanotubes and their field emission properties[J]. Science,1999,283(5401): 512-514. [22] LIN Yue-he, LU Fang, TU Yi, REN Zhi-feng. Glucose Biosensors Based on Carbon Nanotube Nanoelectrode Ensembles[J]. Nano Letters, 2004,4(2): 191-195. [23] Dresselhaus M S. Applied physics: nanotube antennas[J]. Nature,2004,432(7020): 959-960. [24] Maslovski S I, Silveirinha M G. Non-local permittivity from a quasi-static model for a class of wire media[J]. Physical Review B,2009,80(24): 245101. [25] Nefedov I S, Valagiannopoulos C A, Hashemi S M, Nefedov E I. Total absorption in asymmetric hyperbolic media[J]. Scientific Reports,2013,3: 2662.
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