石墨烯双曲超材料的传输矩阵法优化及传输特性
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摘要
基于等效媒质理论,分析了近红外波段的石墨烯-电介质多层膜结构双曲超材料(GDM-HMMs)的双曲色散关系,对传输矩阵法(TMM)进行了优化,计算分析了不同周期数下的石墨烯双曲超材料的透射谱。基于法布里-珀罗共振腔(F-P腔),理论分析了透射谱的演变规律,验证了石墨烯双曲超材料在近红外波段的双曲色散关系。研究结果表明,实现电磁波传输需要大切向波矢条件。结构总周期数影响透射谱特性,可用F-P腔理论进行分析和反向结构设计。
Based on the effective medium theory,the hyperbolic dispersion relationship of graphene-dielectric multilayer(GDM)hyperbolic metamaterials(HMMs)in the near-infrared waveband is analyzed.The transfer matrix method(TMM)is optimized.The transmission spectra of GDM-HMMs with different numbers of periods are calculated and analyzed.Based on the Fabry-Perot(F-P)cavity theory,the evolution of transmission spectra is theoretically analyzed,and the hyperbolic dispersion relationship of GDM-HMMs in the near-infrared waveband is verified.The research results show that the large tangential wave vector condition is needed for the realization of electromagnetic wave transmission in GDM-HMMs.The transmission spectral characteristics are influenced by the total number of structural periods,and the F-P cavity theory can be used for the analysis and reverse structural design.
Based on the effective medium theory,the hyperbolic dispersion relationship of graphene-dielectric multilayer(GDM)hyperbolic metamaterials(HMMs)in the near-infrared waveband is analyzed.The transfer matrix method(TMM)is optimized.The transmission spectra of GDM-HMMs with different numbers of periods are calculated and analyzed.Based on the Fabry-Perot(F-P)cavity theory,the evolution of transmission spectra is theoretically analyzed,and the hyperbolic dispersion relationship of GDM-HMMs in the near-infrared waveband is verified.The research results show that the large tangential wave vector condition is needed for the realization of electromagnetic wave transmission in GDM-HMMs.The transmission spectral characteristics are influenced by the total number of structural periods,and the F-P cavity theory can be used for the analysis and reverse structural design.
引文
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[2]Fisher R K,Gould R W.Resonance cones in the field pattern of a short antenna in an anisotropic plasma[J].Physical Review Letters,1969,22(21):1093-1095.
[3]Yao J,Wang Y,Tsai K T,et al.Design,fabrication and characterization of indefinite metamaterials of nanowires[J].Philosophical Transactions of the Royal Society A:Mathematical,Physical and Engineering Sciences,2011,369(1950):3434-3446.
[4]Liu W G,Hu B,Li B,et al.Research progress of optical modulator based on graphene-metal composite structures[J].Laser&Optoelectronics Progress,2016,53(3):030005.刘伟光,胡滨,李彪,等.基于石墨烯-金属复合结构的光学调制器研究进展[J].激光与光电子学进展,2016,53(3):030005.
[5]Liu C H,Norris T B,Chang Y C,et al.Midinfrared hyperbolic metamaterial based on graphenedielectric multilayers[C]∥Conference on Lasers and Electro-Optics,May 10-15,2015,San Jose,California United States.Washington:Optical Society of America,2015:FM2C.1.
[6]Liu Y Z,Zhang Y P,Cao Y Y,et al.Modulator of tunable modulation depth based on graphene metamaterial[J].Acta Optica Sinica,2016,36(10):1016002.刘元忠,张玉萍,曹妍妍,等.基于石墨烯超材料深度可调的调制器[J].光学学报,2016,36(10):1016002.
[7]Yang X X,Kong X T,Dai Q.Optical properties of graphene plasmons and their potential applications[J].Acta Physica Sinica,2015,64(10):106801.杨晓霞,孔祥天,戴庆.石墨烯等离激元的光学性质及其应用前景[J].物理学报,2015,64(10):106801.
[8]Zhang R Z,Zhang Z M.Tunable positive and negative refraction of infrared radiation in graphenedielectric multilayers[J].Applied Physics Letters,2015,107(19):191112.
[9]Chebykin A V,Orlov A A,Simovski C R,et al.Nonlocal effective parameters of multilayered metaldielectric metamaterials[J].Physical Review B,2012,86(11):115420.
[10]Cai Q,Ye R W,Fang Y T.Broadband absorption based on graphene metamaterial composite structure[J].Chinese Journal of Lasers,2017,44(10):1003005.蔡强,叶润武,方云团.石墨烯超材料复合结构的宽带吸收[J].中国激光,2017,44(10):1003005.
[11]Kang Y Q,Liu H M,Cao Q Z.Wideband absorption in Thue-Morse quasiperiodic graphene-based hyperbolic metamaterials[J].Optical Engineering,2018,57(3):037102.
[12]Li Z,Liang W Y,Chen W H.Switchable hyperbolic metamaterials based on the graphene-dielectric stacking structure and optical switches design[J].Europhysics Letters,2017,120(3):37001.
[13]Zhang L W,Zhang Z R,Kang C Y,et al.Tunable bulk polaritons of graphene-based hyperbolic metamaterials[J].Optics Express,2014,22(11):14022-14030.
[14]Sreekanth K V,de Luca A,Strangi G.Experimental demonstration of surface and bulk plasmon polaritons in hypergratings[J].Scientific Reports,2013,3:3291.
[15]Ding J,Arigong B,Ren H,et al.Tunable complementary metamaterial structures based on graphene for single and multiple transparency windows[J].Scientific Reports,2014,4:6128.
[16]Othman M A K,Guclu C,Capolino F.Graphenebased tunable hyperbolic metamaterials and enhanced near-field absorption[J].Optics Express,2013,21(6):7614-7632.
[17]Wood B,Pendry J B,Tsai D P.Directed subwavelength imaging using a layered metaldielectric system[J].Physical Review B,2006,74(11):115116.
[18]Ferrari L,Wu C,Lepage D,et al.Hyperbolic metamaterials and their applications[J].Progress in Quantum Electronics,2015,40:1-40.
[19]Zhukovsky S V,Andryieuski A,Sipe J E,et al.From surface to volume plasmons in hyperbolic metamaterials:General existence conditions for bulk high-k waves in metal-dielectric and graphenedielectric multilayers[J].Physical Review B,2014,90(15):155429.
[20]Chen Y L,Xu J,Shi N N,et al.Mode properties of metal-insulator-metal waveguide Bragg grating[J].Acta Optica Sinica,2017,37(11):1123002.陈奕霖,许吉,时楠楠,等.金属-介质-金属波导布拉格光栅的模式特性[J].光学学报,2017,37(11):1123002.
[21]Liu Q N,Liu Q.Transmission theory of photons and photonic crystals[M].Beijing:Science Press,2013:8-10.刘启能,刘沁.光子、声子晶体的传输理论[M].北京:科学出版社,2013:8-10.
[22]Wan P,Yang C H.Properties of graphene TE mode surface plasmons and surface plasmon waveguides[J].Acta Optica Sinica,2017,37(11):1124002.万鹏,杨翠红.石墨烯TE模表面等离子体波和表面等离子体波导的特性[J].光学学报,2017,37(11):1124002.
[23]Jiang Y,Tang C J.Principle and application of optical fiber Fabry-Perot interferometer[M].Beijing:National Defense Industry Press,2009:6-8.江毅,唐才杰.光纤Fabry-Perot干涉仪原理及应用[M].北京:国防工业出版社,2009:6-8.