对称结构光子晶体表面Tamm态的光学性质
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摘要
利用传输矩阵理论和等效原理,从能级的角度研究对称结构光子晶体表面Tamm态的光学性质,结果表明:在有限排列周期结构光子晶体中,介质表面可支持表面Tamm态的存在,且轴向传播时通带中出现TM和TE偏振的能级简并现象,离轴传播时从通带边缘分离出来的非简并能级被局域于光子晶体表面而形成了光学Tamm态;表面Tamm态内存在很强的局域电场,而且局域电场在介质界面处分布最强;表面Tamm态内的能量输运,对于低折射率介质可正反两方向输运,且输运速度快,对于高折射率介质只能正向输运,且输运速度较慢,故在高折射率介质界面处形成很强的局域光场。对称结构光子晶体表面Tamm态光学性质可为光子晶体光波导和表面波传感器的研究和设计提供指导。
Using the transfer matrix and the equivalent principle,the Tamm state on the surface of the symmetric photonic crystal is investigated in the new point of energy levels.The result shows that the symmetric system is an finite periodic structures for photonic crystal,it supports the optical Tamm state appearing on the surface,andthe doubly degenerated energy level of TE and TM polarization appears in the energy band,when the optical transmission without the axial transmission,the optical Tamm state form the passband edge non-degenerate energy which are restricted on the surface of photonic crystal.There is an strong local electric field in the Tamm surface state,and it is strongest on the interface.The energy transfer of the Tamm surface state is fast in medium for low refractive index,the transfer can be positive or opposite direction.In medium for high refractive index,the energy transfer of the Tamm surface state is slow; the transfer only can be positive direction,whence a strong local electric field appears on the interface of medium for high refractive index.Properties of optical Tamm state on the surface for photonic crystal can provide guidance for research and design optical waveguide or surface wave sensor.
Using the transfer matrix and the equivalent principle,the Tamm state on the surface of the symmetric photonic crystal is investigated in the new point of energy levels.The result shows that the symmetric system is an finite periodic structures for photonic crystal,it supports the optical Tamm state appearing on the surface,andthe doubly degenerated energy level of TE and TM polarization appears in the energy band,when the optical transmission without the axial transmission,the optical Tamm state form the passband edge non-degenerate energy which are restricted on the surface of photonic crystal.There is an strong local electric field in the Tamm surface state,and it is strongest on the interface.The energy transfer of the Tamm surface state is fast in medium for low refractive index,the transfer can be positive or opposite direction.In medium for high refractive index,the energy transfer of the Tamm surface state is slow; the transfer only can be positive direction,whence a strong local electric field appears on the interface of medium for high refractive index.Properties of optical Tamm state on the surface for photonic crystal can provide guidance for research and design optical waveguide or surface wave sensor.
引文
[1] PochiYeh,Amnon Y,Chi-Shian H.Electromagnetic propagation in periodic stratified media[J].Journal of the Optical Society of America B,1977,67(4):423-442.
[2] William L,Barnes,Alain D,Thomas W.Ebbesen.Surface plasmons sub-wavelength optics[J].Nature,2003,424:824-830.
[3] Ozbay E.Plasmonics:merging photonics and electronics at nanoscale dimensions[J].Science,2006,311:189-193.
[4] Avendaňo Carlos G,Reyes AdriánJ.Photonic band structure in one-dimensional nonlinear crystal:Analysis of harmonic stability[J].Optics Communications,2015,335(15):16-22.
[5] Wang Lin,Wang Ligang.Photonic band structures in one-dimensional photonic crystals containing Dirac materials[J].Physics Letters A,2015,379(11):1847-1851.
[6] YANG Yannan,WANG Xinqiang,LU Liwu,et al.Surface states of InAlN film grown by MOCVD[J].Acta Physica Sinica,2013,62(17):177302.(in Chinese)杨彦楠,王新强,卢励吾,等.InAlN材料表面态性质研究[J].物理学报,2013,62(17):177302.
[7] JIANG Yao,ZHANG Weili,ZHU Yeyu.Optical Tamm staye theory study on asymmetric DBR-metal-DBR structure[J].Acta Physica Sinica,2013,62(16):167303.(in Chinese)蒋瑶,张伟利,朱叶雨.非对称DBR-金属-DBR结构的光学Tamm态理论研究[J].物理学报,2013,62(16):167303.
[8] LIU Qineng,LIU Qin.Influence of metal material on optical Tamm state in M-PC-M structure[J].Laser & Infrared,2016,46(8):994-1000.(in Chinese)刘启能,刘沁.金属材料对M-PC-M结构中光学Tamm态的影响[J].激光与红外,2016,46(8):994-1000.
[9] Hajian H,Soltani-Vala A,Kalafi M,et al.Surface plasmons of a graphene parallel plate waveguide bounded by Kerr-type nonlinear media[J].Jouranal of Applied Physics,2014,115(8):083104.
[10] WU Zhizheng,YU Kun,GUO Zhiwei,et al.Electronic Tamm states of metamaterial-like semiconductor composite structures [J].Acta Physica Sinica,2015,64(17):107302.(in Chinese)武执政,余坤,郭志伟,等.类特异材料半导体复合结构中的电子Tamm态[J].物理学报,2015,64(17):107302.
[11] LI Wensheng,ZHANG Qin,HUANG Haiming,et al.Polarization properties of Tamm state of one-dimensional photonic crystal containing single-negative materials [J].Infrared and Laser Engineering,2014,43(5):1600-1604.(in Chinese)李文胜,张琴,黄海铭,等.一维含单负材料光子晶体塔姆态的偏振特征[J].红外与激光工程,2014,43(5):1600-1604.
[12] TANG Xiufu,SU An,HE Xiaochao,et al.The optical filtering characteristics of four-element mirror symmetry structure photonic crystal [J].Laser & Infrared,2018,48(2):255-260.(in Chinese)唐秀福,苏安,何小超,等.四元镜像对称结构光子晶体的光学滤波特性[J].激光与红外,2018,48(2):255-260.
[13] Gaspar-Armenta Jorge A,FranciscoVilla.Band-structure properties of one-dimensional photonic crystals under the formalism of equivalent systems [J].Journal of the Optical Society of America B,2004,21(2):405-412.
[14] Llin N V,Smimov A I,KondratievI G.Metamaterial layer in rectangular waveguide[J].Physics of Wave Phenomena,2010,18(4):227-283.
[15] LIU Qineng.Interference interpretation of the total reflection tunnel in 1D half infinite cycle photonic crystal [J].Laser & Infrared,2013,43(11):1227-1231.(in Chinese)刘启能.半无限周期光子晶体全反射隧穿机理的干涉诠释[J].激光与红外,2013,43(11):1227-1231.
[16] Sakli Hedi,Wyssem Fathallah,Issa Khaled,et al.Guided modes in rectangular waveguides partially filled with single negative metamaterial slab[J].Journal of Materials Science and Engineering,2013,A3(3):205-208.
[2] William L,Barnes,Alain D,Thomas W.Ebbesen.Surface plasmons sub-wavelength optics[J].Nature,2003,424:824-830.
[3] Ozbay E.Plasmonics:merging photonics and electronics at nanoscale dimensions[J].Science,2006,311:189-193.
[4] Avendaňo Carlos G,Reyes AdriánJ.Photonic band structure in one-dimensional nonlinear crystal:Analysis of harmonic stability[J].Optics Communications,2015,335(15):16-22.
[5] Wang Lin,Wang Ligang.Photonic band structures in one-dimensional photonic crystals containing Dirac materials[J].Physics Letters A,2015,379(11):1847-1851.
[6] YANG Yannan,WANG Xinqiang,LU Liwu,et al.Surface states of InAlN film grown by MOCVD[J].Acta Physica Sinica,2013,62(17):177302.(in Chinese)杨彦楠,王新强,卢励吾,等.InAlN材料表面态性质研究[J].物理学报,2013,62(17):177302.
[7] JIANG Yao,ZHANG Weili,ZHU Yeyu.Optical Tamm staye theory study on asymmetric DBR-metal-DBR structure[J].Acta Physica Sinica,2013,62(16):167303.(in Chinese)蒋瑶,张伟利,朱叶雨.非对称DBR-金属-DBR结构的光学Tamm态理论研究[J].物理学报,2013,62(16):167303.
[8] LIU Qineng,LIU Qin.Influence of metal material on optical Tamm state in M-PC-M structure[J].Laser & Infrared,2016,46(8):994-1000.(in Chinese)刘启能,刘沁.金属材料对M-PC-M结构中光学Tamm态的影响[J].激光与红外,2016,46(8):994-1000.
[9] Hajian H,Soltani-Vala A,Kalafi M,et al.Surface plasmons of a graphene parallel plate waveguide bounded by Kerr-type nonlinear media[J].Jouranal of Applied Physics,2014,115(8):083104.
[10] WU Zhizheng,YU Kun,GUO Zhiwei,et al.Electronic Tamm states of metamaterial-like semiconductor composite structures [J].Acta Physica Sinica,2015,64(17):107302.(in Chinese)武执政,余坤,郭志伟,等.类特异材料半导体复合结构中的电子Tamm态[J].物理学报,2015,64(17):107302.
[11] LI Wensheng,ZHANG Qin,HUANG Haiming,et al.Polarization properties of Tamm state of one-dimensional photonic crystal containing single-negative materials [J].Infrared and Laser Engineering,2014,43(5):1600-1604.(in Chinese)李文胜,张琴,黄海铭,等.一维含单负材料光子晶体塔姆态的偏振特征[J].红外与激光工程,2014,43(5):1600-1604.
[12] TANG Xiufu,SU An,HE Xiaochao,et al.The optical filtering characteristics of four-element mirror symmetry structure photonic crystal [J].Laser & Infrared,2018,48(2):255-260.(in Chinese)唐秀福,苏安,何小超,等.四元镜像对称结构光子晶体的光学滤波特性[J].激光与红外,2018,48(2):255-260.
[13] Gaspar-Armenta Jorge A,FranciscoVilla.Band-structure properties of one-dimensional photonic crystals under the formalism of equivalent systems [J].Journal of the Optical Society of America B,2004,21(2):405-412.
[14] Llin N V,Smimov A I,KondratievI G.Metamaterial layer in rectangular waveguide[J].Physics of Wave Phenomena,2010,18(4):227-283.
[15] LIU Qineng.Interference interpretation of the total reflection tunnel in 1D half infinite cycle photonic crystal [J].Laser & Infrared,2013,43(11):1227-1231.(in Chinese)刘启能.半无限周期光子晶体全反射隧穿机理的干涉诠释[J].激光与红外,2013,43(11):1227-1231.
[16] Sakli Hedi,Wyssem Fathallah,Issa Khaled,et al.Guided modes in rectangular waveguides partially filled with single negative metamaterial slab[J].Journal of Materials Science and Engineering,2013,A3(3):205-208.