含特异材料的光子晶体光学传输特性研究
|
摘要
介电常数和磁导率同时或只有一个为负数的新型人工材料是一种具有特殊电磁性质的特异材料,已经在微波段乃至近红外通过人工制备实现。人们通过将特异材料引入到光子晶体中,发现了新型的光子带隙。由于这些光子带隙具有与传统的布拉格带隙截然不同的性质,并具有潜在的应用前景,因此含有特异材料的光子晶体已成为了当前的一个研究热点。本文通过数值模拟和理论分析,研究了含特异材料的光子晶体的光学输运特性。主要的研究内容及其研究成果有以下几个方面:
(1)单负材料光子晶体异质结构的频率响应。用带隙不同的两种周期结构构成一维光子晶体异质结构。研究结果表明:当异质结构具有零有效折射率时,在异质结构每一个分界面上都会出现界面模。各界面模的耦合导致光以隧穿的方式传播。在零有效折射率的情况下隧穿模不受入射角、电磁波偏振态、结构周期数等因素影响,并且具有零位相延迟,这一特性可用来设计零位相延迟全向多通道虑波器件;随入射角的增加和单元结构中周期数的增加,位于零有效位相带隙中心的隧穿模频率保持不变,而位于两侧的隧穿模频率向中心移动。
(2)基于单负材料光子晶体异质结构的多通道滤波器。研究结果表明:零有效位相带隙内出现的共振模的数目与异质结数M相等,可作为M通道滤波器。当介质存在耗散时,我们得到:结构的异质结数M越大,共振模衰减的幅度越大:耗散因子越大,共振模衰减的幅度也越大。多通道滤波器的品质因子Q值与结构的异质结数M成线性关系,随耗散系数γ的增大而减小。这些为多通道滤波器的品质因子的调节提供了一种可行的方法。
(3)负介电常数材料和负磁导率材料交替生长形成的一维光子晶体中的局域共振模。研究结果表明:这种结构的光子晶体具有2个共振隧穿模,并且2个共振隧穿模间距能够通过改变两种单负材料厚度比和缺陷层厚度进行调节。共振隧穿模式场强随着两种单负材料的厚度比的增大而指数增大。随着两种单负材料的厚度比的增大,隧穿模场的局域性也变得更加强烈,电场逐渐向与缺陷层两侧毗连的两个界面集中,两个共振隧穿模的半高宽(FWHM)变窄。此外,这种可调的两个共振隧穿模几乎不随入射角和厚度变化而改变。根据这些特性,我们能够更加实际地利用单负材料制作可调的全向双通道高品质因数滤波器。
(4)负磁导率材料和正折射率材料构成的一维周期结构的光子晶体共振隧穿特性。研究结果表明:TE波的传输特性主要取决于ε,TM波的传输特性主要取决于μ.这种由负磁导率材料和正折射率材料构成的一维周期结构的光子晶体在单负带隙内存在一透射带,透射带在TE偏振下对入射角不敏感,而在TM偏振下对入射角敏感。透射带的中心位置取决于正折射率材料层的厚度,而透射带的宽度取决于负磁导率材料层的厚度。透射带的位置和宽度能够通过正折射率材料层和负磁导率材料层的厚度进行独立调节。隧穿模强烈局域在正折射率材料层内,场强幅度随着负磁导率材料层的厚度的增加成指数增大。我们从理论上推导得到了这种结构的光子晶体发生共振隧穿的条件。
Metamaterials in which both permittivityεand permeabilityμare negative, or only one of the two parametersεandμis negative, have been realized in microwave and near-infrared. When the metamaterials are introduced into photonic crystals, new types of photonic band gaps appear. Since the properties of such photonic band gaps are different from those of the Bragg gap which leads to potential applications, photonic crystals containing metamaterials have become a hot issue in present research. In this thesis, by means of numerical stimulations and theoretical analysis, we investigate transmission properties of photonic crystals containing metamaterials. The major contents and most important results are given as follows.
(1) Frequency response of photonic heterostructures consisting of single-negative materials is studied. We structure heterostructures by useing two photonic crystals with different band gap. The results show that the interface modes emerge on every interface of the heterostructures when the heterostructure is zero effective refractive index. Due to coupling between interface modes, waves can propagate by tunneling. In the case of zero effective refractive index, tunneling mode is independent of incident angles and polarizations and periods and have zero phase delay, which can be utilized to design zero-phase-shift omnidirectional multiple-channeled filters. With the increase of incident angles and period number of unit structure , the frequency of the tunneling mode situated the center of thezero-φ_(eff) gap is unchanged, while the frequency of the tunneling modes situated bothsides of the center of the zero-φ_(eff) gap shift to the center.
(2) Multiple-channeled filters of photonic heterostructures containing single-negative materials are investigated. The results show that the number oftunneling modes inside the zero-φ_(eff) gap is equal to the number of heterojunction M, and can be used as M channels filter. When losses are involved, the results show that the electric fields of the tunneling modes decay largerly with the increase of the number of heterojunction and damping factors. Besides, the relation between the quality factor of multiple-channeled filters and the number of heterojunction M is linear, and the quality factor of multiple-channeled filters decreases with the increase of the damping factor, these results provide a feasible method to adjust the quality factor of multiple-channeled filters.
(3) We study the local modes of one-dimensional photonic crystals consisting of single-negative permittivity and single-negative permeability media using transfer matrix methods. The results show that there exists a pair of resonant tunneling modes in this structure. The separation of the pair of tunneling modes can be tuned by varying the ratio of thicknesses of the two single-negative layers or the thickness of the defect layer. The electric field intensity of the resonant tunneling modes enhance exponentially with the increase of the ratio of thicknesses of the two single-negative layers. With the increase of the ratio of thicknesses of the two single-negative layers, the electric field of the tunneling modes becomes more localized, and the full width at half maximum of the tunneling modes becomes narrower. Besides, the pair of tunneling modes is insensitive to incident angle and thickness variation. These properties will be used for the design of tunable omnidirectional double-channel filter with high quality factor.
(4) Transmission properties studies of one-dimensional photonic crystals consisting of mu-negative and positive index materials are presented by using transfer matrix methods. The results show that transmission properties of TE wavesdepend onε, while transmission properties of TM waves depend onμ, there exists atransmission band inside single-negative gap in this structure, and the transmission band is insensitive to the incident angle for the transverse electric waves but sensitive for the transverse magnetic waves. The position of the center axis of the transmission band is sensitive to the thickness of the positive-index layers, while the width of the transmission band is only dependent on the thickness of the mu-negative material layers. The position and width of the transmission band can be modulated independently by varying the thicknesses of positive index material and mu-negative material layers respectively. The tunneling mode is localized strongly inside positive index material layer, and the electric field enhance exponentially with the increase of the thickness of the mu-negative layers. We derive theoretically analytical expression of the resonant tunneling condition.
(1)单负材料光子晶体异质结构的频率响应。用带隙不同的两种周期结构构成一维光子晶体异质结构。研究结果表明:当异质结构具有零有效折射率时,在异质结构每一个分界面上都会出现界面模。各界面模的耦合导致光以隧穿的方式传播。在零有效折射率的情况下隧穿模不受入射角、电磁波偏振态、结构周期数等因素影响,并且具有零位相延迟,这一特性可用来设计零位相延迟全向多通道虑波器件;随入射角的增加和单元结构中周期数的增加,位于零有效位相带隙中心的隧穿模频率保持不变,而位于两侧的隧穿模频率向中心移动。
(2)基于单负材料光子晶体异质结构的多通道滤波器。研究结果表明:零有效位相带隙内出现的共振模的数目与异质结数M相等,可作为M通道滤波器。当介质存在耗散时,我们得到:结构的异质结数M越大,共振模衰减的幅度越大:耗散因子越大,共振模衰减的幅度也越大。多通道滤波器的品质因子Q值与结构的异质结数M成线性关系,随耗散系数γ的增大而减小。这些为多通道滤波器的品质因子的调节提供了一种可行的方法。
(3)负介电常数材料和负磁导率材料交替生长形成的一维光子晶体中的局域共振模。研究结果表明:这种结构的光子晶体具有2个共振隧穿模,并且2个共振隧穿模间距能够通过改变两种单负材料厚度比和缺陷层厚度进行调节。共振隧穿模式场强随着两种单负材料的厚度比的增大而指数增大。随着两种单负材料的厚度比的增大,隧穿模场的局域性也变得更加强烈,电场逐渐向与缺陷层两侧毗连的两个界面集中,两个共振隧穿模的半高宽(FWHM)变窄。此外,这种可调的两个共振隧穿模几乎不随入射角和厚度变化而改变。根据这些特性,我们能够更加实际地利用单负材料制作可调的全向双通道高品质因数滤波器。
(4)负磁导率材料和正折射率材料构成的一维周期结构的光子晶体共振隧穿特性。研究结果表明:TE波的传输特性主要取决于ε,TM波的传输特性主要取决于μ.这种由负磁导率材料和正折射率材料构成的一维周期结构的光子晶体在单负带隙内存在一透射带,透射带在TE偏振下对入射角不敏感,而在TM偏振下对入射角敏感。透射带的中心位置取决于正折射率材料层的厚度,而透射带的宽度取决于负磁导率材料层的厚度。透射带的位置和宽度能够通过正折射率材料层和负磁导率材料层的厚度进行独立调节。隧穿模强烈局域在正折射率材料层内,场强幅度随着负磁导率材料层的厚度的增加成指数增大。我们从理论上推导得到了这种结构的光子晶体发生共振隧穿的条件。
Metamaterials in which both permittivityεand permeabilityμare negative, or only one of the two parametersεandμis negative, have been realized in microwave and near-infrared. When the metamaterials are introduced into photonic crystals, new types of photonic band gaps appear. Since the properties of such photonic band gaps are different from those of the Bragg gap which leads to potential applications, photonic crystals containing metamaterials have become a hot issue in present research. In this thesis, by means of numerical stimulations and theoretical analysis, we investigate transmission properties of photonic crystals containing metamaterials. The major contents and most important results are given as follows.
(1) Frequency response of photonic heterostructures consisting of single-negative materials is studied. We structure heterostructures by useing two photonic crystals with different band gap. The results show that the interface modes emerge on every interface of the heterostructures when the heterostructure is zero effective refractive index. Due to coupling between interface modes, waves can propagate by tunneling. In the case of zero effective refractive index, tunneling mode is independent of incident angles and polarizations and periods and have zero phase delay, which can be utilized to design zero-phase-shift omnidirectional multiple-channeled filters. With the increase of incident angles and period number of unit structure , the frequency of the tunneling mode situated the center of thezero-φ_(eff) gap is unchanged, while the frequency of the tunneling modes situated bothsides of the center of the zero-φ_(eff) gap shift to the center.
(2) Multiple-channeled filters of photonic heterostructures containing single-negative materials are investigated. The results show that the number oftunneling modes inside the zero-φ_(eff) gap is equal to the number of heterojunction M, and can be used as M channels filter. When losses are involved, the results show that the electric fields of the tunneling modes decay largerly with the increase of the number of heterojunction and damping factors. Besides, the relation between the quality factor of multiple-channeled filters and the number of heterojunction M is linear, and the quality factor of multiple-channeled filters decreases with the increase of the damping factor, these results provide a feasible method to adjust the quality factor of multiple-channeled filters.
(3) We study the local modes of one-dimensional photonic crystals consisting of single-negative permittivity and single-negative permeability media using transfer matrix methods. The results show that there exists a pair of resonant tunneling modes in this structure. The separation of the pair of tunneling modes can be tuned by varying the ratio of thicknesses of the two single-negative layers or the thickness of the defect layer. The electric field intensity of the resonant tunneling modes enhance exponentially with the increase of the ratio of thicknesses of the two single-negative layers. With the increase of the ratio of thicknesses of the two single-negative layers, the electric field of the tunneling modes becomes more localized, and the full width at half maximum of the tunneling modes becomes narrower. Besides, the pair of tunneling modes is insensitive to incident angle and thickness variation. These properties will be used for the design of tunable omnidirectional double-channel filter with high quality factor.
(4) Transmission properties studies of one-dimensional photonic crystals consisting of mu-negative and positive index materials are presented by using transfer matrix methods. The results show that transmission properties of TE wavesdepend onε, while transmission properties of TM waves depend onμ, there exists atransmission band inside single-negative gap in this structure, and the transmission band is insensitive to the incident angle for the transverse electric waves but sensitive for the transverse magnetic waves. The position of the center axis of the transmission band is sensitive to the thickness of the positive-index layers, while the width of the transmission band is only dependent on the thickness of the mu-negative material layers. The position and width of the transmission band can be modulated independently by varying the thicknesses of positive index material and mu-negative material layers respectively. The tunneling mode is localized strongly inside positive index material layer, and the electric field enhance exponentially with the increase of the thickness of the mu-negative layers. We derive theoretically analytical expression of the resonant tunneling condition.
引文
[1]Veselago V G.The electrodynamics of substances with simultaneously negative values of ~ and p..Soy.Phys.Usp,1968,Vol.10(4):509-514
[2]Pendry J B,Hoiden A J,Stewart W J,et al.Extremely low frequency plasmons in metallic mesostructures.Phys Rev Lett,1996,Vol.76:4773-4776
[3]Pendry,J.B.,Holden,A.J.,Robbins,D.J.,and Stewart,W.J.Magnetism from conductors and enhanced nonlinear phenomena,IEEE Trans.Microw.Theory Tech.,1999,Voi.47:2075-2081
[4]Smith DR,Padilla Willie,Vier DC,et al.Composite Medium with Simultaneously Negative Permeability and Permittivity.Phys Rev Lett,2000,Vol.84(18):4184-4187
[5IRA Shelby,DR Smith,S Schultz.Experimental verification of a negative index of refraction.Science,2001,Vol.292:77-79
[6]C.G.Parazzoli,R.B.Greegor,K.Li,B.E.Koltenbah,and M.Tanielian.Experimental Verification and Simulation of Negative Index of Refraction Using Shell's Law.Phys.Rev.Lett.,2003,Vol.90:107401
[7]G.V.Eleftheriades,A.K.lyer and P.C.Kremer.Planar negative refractive index media using periodically L-C loaded transmission lines.IEEE Trans.on Microwave Theory and Tech.,2002,Vol.50(12):2702-2712
[8]L.Liu,C Christophe,C.Chin-Chang and I.Tatsuo.Forward coupling phenomena between artificial leg-handed transmission lines.J.Appl.Phys.,2002,Vol.92(9):5560-5565
[9]A.Grbic,G V.Eleftheriades,Experimental verification of backward wave radiation from a negative refractive index material,J.Appl.Phys.,2002,Vol.92,5930-5935
[10]A.Sanada,M.Kimura,I.Awal,C.Caloz,T.ltoh.A planar zeroth-order resonator antenna using a left-handed transmission line.34th European Microwave Conference,2004,1341-1344
[11]C.Caloz,A.Sanada,and T.ltoh.A novel composite right/left-handed coupled-line directional coupler with arbitrary coupling level and broad bandwidth.IEEE Trans.Microwave Theory Tech.,2004,Vol.52(3):980-992
[12]A.Sanada,C.Caloz,and T.Itoh.Planar distributed structures with negative refractive index.IEEE Transactions on Microwave Theory and Techniques,2004,Vol.52(4):1252-1263
[13]A.Sanada,C.Caloz,and T.ltoh.Characteristics of right/left-handed transmission lines.IEEE Microwave Wireless Compon.Lett.,2004,Vol.14:68-70
[14]A.Alu and N.Engheta.Pairing an epsilon-negative slab with a mu-negative slab:Resonance,tunneling and transparency.IEEE Trans.Antennas Propag.,2003,Vol.51(10):2558-2571
[15]J B Pendry.A Chirai Route to Negative Refraction.Science,2004,Vol.306:1353
[16IN.Engheta,A.Salandrino,A.Alu.Circuit elements at optical frequencies:nanoinductors,nanocapacitors,and nanoresistors.Phys.Rev.Lett.,2005,Vol.95:095504-1-3
[17]J.B.Pendry.Negative Refration Makes a Perfect Lens.Phys.Rev.Lett.,2000,Vol.85(18):3966-1969
[18]J B.Pendry and S A.Ramakrishna.Focusing light using negative refraction.J.Phys.:Condens.Matter,2003,Vol.15(37):6345-6364
[19]A.Grbic and G.V.Elefthefiades.Growing evanescent waves in negative-refractive-index transmission-line media.Appl.Phys.Lett.,2003,vol.82:1815-1817
[20]Z.Liu,N.Fang,T.J.Yen,X.Zhang.Rapid growth of evanescent wave by a silver superlens.Appl.Phys.Lett.,2003,Vol.83:5184-5186
[21]A.Grbic,G.V.Eleflhedades.Overcoming the Diffraction Limit with a Planar Left-Handed Transmission-Line Lens.Phys.Rev.Lett.,2004,Vol.92(11):117403-1-4
[22]N Fang,H Lee,C Sun et al.Sub-diffraction-limited optical imaging with a silver superlens.Sience,2005,Vol.308(5721):534-537
[23]J.Li,L.Zhou,C.T.Chart,and E Sheng.Photonic band gap from a stack of positive and negative index materials.Phys.Rev.Lett.,2003,Vol.90(8):083901-1-4
[24]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang and S.Y.Zhu.Omnidirectional gap and defect mode of one,dimensional photonic crystals containing negative-index materials.App.Phys.Lett,2003,Vol.83(26):5386-5388
[25]N.Engheta.An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability.1EEE Antennas Wireless Propagat.Lett.,2002,Vol.l:10-13
[26]Jiang T and Feng Y J.Transmission line realization of subwavelength resonator formed by a pair of conventional and LHM slabs.Journal of Zhejiang University - Science A,2006,Vol.7(1):76-78
[27]H.Q.Li,J.M.Hao,L.Zhou,Z.Y.Wei,L.K.Gong,H.Chen,and C.T.Chan.All-dimensional subwavelength cavities made with metamaterials.App.phys.Lett.,2006,Vol.89(10):104101
[28]J.B.Pendry,D.Schurig,and D.R.Smith.Controlling Electromagnetic Fields.Science,2006,Vol.312:1780-1782
[29]D.Schurig,J.J.Mock,B.J.Justice,S.A.Cummer,J.B.Pendry,A.E Starr,and D.R.Smith.Metamaterial Electromagnetic Cloak at Microwave Frequencies.Science,2006,Vol.314:977-980
[30]I.S.Nefedov and S.A.Tretyakov.Photonic band gap structure containing metamaterial with negative pcrmittivity and permeability.Phys.Rev.E,2002,Vol.66:036611-1-4
[31]L.Wu,S.He,and L.Chert.On unusual narrow transmission bands for a multi-layered periodic structure containing left-handed materials.Optics Express,2003,Vol.l l:1283-1290
[32]K.Y.Xu,X.G.Zheng,and W.L She.Properties of defect modes in one-dimensional photonic crystals containing a defect layer with a negative refractive index.Appl.Phys.Lett.,2004,Vol.85(25):6089
[33]D.Bria,B.D.Rouhani,A.Akjouj,L.Dobrzynski,J.E Vigneron,E.H.El Boudouti,and A.Nougaoui.Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials.Phys.Rev.E,2004,Vol.69(6):066613
[34]K.Y.Kim.Photon tunneling in composite layers of negative- and positive-index media.Phys.Rev.E,2004,Vol.70(4):047603-1-4
[351I.V.Shadrivov,A.A.Sukhorukov,and Y.S.Kivshar.Beam shaping by a periodic structure with negative refraction.Appl.Phys.Lea.,2003,Vol.82:3820-3822
[36]M.W.Feise,I.V.Shadrivov,and Y.S.Kivshar.Tunable transmission and bistability in left-handed band-gap structures.Appl.Phys.Lett.,2004,Vol.85:1451-1453
[371I.V.Shadrivov,N.A.Zharova,A.A.Zharov,and Y.S.Kivshar.Defect modes and transmission properties of.left-handed bandgap struetures.Phys.Rev.E,2004,Vol.70:046615-1-6.
[38]N.A.Zharova,I.V.Shadrivov,A.A.Zharov,and Yu.S.Kivshar.Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction.Opt.Express,2005,Vol.13:1291-1298
[391I.V.Shadrivov and Yu.S.Kivshar.Spatial solitons in nonlinear left-handed metamaterials.J.Opt.A-Pure Appl.Opt.,2005,Vol.7(s):68-72
[40]V S C Manga Rao and S Dutta Gupta.Subluminai and superluminal pulse propagation in a left-handed/right-handed periodic structure.J.Opt.A:Pure Appl.Opt.,2004,Vol.6:756-761
[41]J.Li,D.G.Zhao,and Z.Y.Liu.Zero-n,.photonic band gap in a quasiperiodic stacking of positive and negative refractive index matedais.Phys.Lett.A,2004,Vol.332:461-468
[42]D.R.Fredkin and A.Ron.Effectively lett-handed(negative index)composite material.Appl.Phys.Lett.,2002,Vol.81:1753
[43]Xiang Y J,Dai XY,Wen SC,et ai.Omnidirectionai and multiple-channeled high-quality filters of photonic heterostruetures containing single-negative materials.Journal of the Optical Society of America A,2007,Vol.24:30-34 1084-7529
[44]A.Lakhtakia and C.M.Krowne.Restricted equivalence of paired epsilon-negative and mu-negative layers to a negative phase-velocity material(alias left-handed material).Optik,2003,Vol.114(7):305-307
[45]A.Alu and N.Engheta.Guided modes in a waveguide filled with a pair of single-negative(SNG),double-negative(DNG),and/or double-positive(DPS)layers.IEEE Trans.Microw.Theory Tech.,2004,Vol.52(I):199-210
[46]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang,J.Zi,and S.Y.Zhu.Properties of one-dimensional photonic crystals containing single-negative rnatedais.Phys.Rev.E,2004,Vol.69(6):066607
[47]C.Caioz,and T.Itoh.A novel mixed conventional microstrip and composite right/left-handed backward-wave directional coupler with broadband and tight coupling characteristics.IEEE Mierow.Wirel.Compon.Lett.,2004,Vol.14(1):31-33
[48]L G Wang,H.Chen,S Y Zhu.Omindirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials.Phys.Rev.B,2004,Vol.70:245102-1-6
[49]J.Yoon,S.Song,C.-H.Oh,and P.-S.Kim.Backpropagating modes of surface polaritons on a cross-negative interface.Opt.Express,2005,Vol.13:417-427
[50]K.Y.Kim.Properties of photon tunneling through single-negative materials.Opt.Lett.,Vol.30: 430-432
[51]K.Y.Kim.Polarization-dependent waveguide coupling utilizing single-negative materials.IEEE Photonics Tech Lett.,2005,Vol.17(2):369-371
[52]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang.Omnidirectional Gaps of One-Dimensional Photonic Crystals Containing Single-Negative Materials.Chin.Phys.Lett.,2005,Vol.22(2):886-886
[53]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang,and S.Y.Zhu.Properties of one-dimensional photonic crystals containing single-negative materials.J.Appl.Phys.,2005,Vol.98:013101
[54]Chen YH.Defect modes merging in one-dimensional photonic crystals with multiple single-negative material defects.Appl.Phys.Lett.,2008,Vol.92:011925
[55]H.T.Jiang,H.Chen,S.Y.Zhu.Localized gap-edge fields of one-dimensional photonic crystals with an ε-negative and a μ-negative defect.Phys.Rev.E,2006,Vol.73:046601
[56]Y.H.Chert,.1.W.Dong and H.Z.Wang.Twin defect modes in one-dimensional photonic crystals with a single-negative defect.Appl.Phys.Lett,2006,Vol.89:141101
[57]Guan G S,Jiang H T,Li H Q,et al.Tunneling modes of photonic heterostructures consisting of single-negative materials.Appl Phys Lett,2006,Vol.88(21):211112-1-3
[58]邓新华,刘念华,刘根泉.单负材料异质结构光子晶体的频率响应.物理学报,2007,Vol.56(12):7280-7285
[59]DENG X H,LIU N H.Resonant tunneling properties of photonic crystals consisting of single-negative materials,Chinese Science Bulletin,2008,Vol.53(4):529-533
[60]M.Born and E.Wolf,Principles of Optics,7th(expanded)ed.Cambridge University Press,Cambridge,(1999)
[61]N H Liu,S.Y.Zhu,H Chen,and X Wu.Superluminal pulse propagation through one-dimensional photonic crystals with a dispersive defect.Phys.Rev.E,2002,Vol.65(4):046607
[62]P.Yeh,Optical Waves in Layered Media,John Wiley & Sons,New York,(1988)
[63]Smith D R,Kroll N.Negative refraction index in lefthanded.materials.Phys.Rev.Lett.,2002,Vol.85(14):2933-2936
[64]陈龙,何赛灵,沈林放.含负折射率介质的多层结构中倏逝波传播及隧道效应的分析.物理学报,2003,V01.52(10):2386-2392
[65]许静平、王立刚、羊亚平.利用含负折射率材料的光子镜头实现角度滤波器.物理学报,2006.V01.55(061:2765-2770
[66]X H Deng,N H Liu.Omnidirectional Reflection from Thue-morse Aperiodic One-dimensional Photonic Crystal With Dispersive Negative Materials.IEEE,2006,ISBN:0-7803-9773-8,P.521-524.
[67]Y.H.Chert,J.W.Dong,and H.Z.Wang.Omnidirectional resonance modes in photonic crystal heterostructures containing single-negative materials.J.Opt.Soc.Am.B,2006,Vol.23:2237-2240
[68]Fredkin D R,Ron A.Effectively left-handed(negative index)composite material.Appl Phys Lett, 2002,Vol.81(10):1753-1755
[69]Xiang Y J,Wen S C,Tang K S.Photon tunneling in a frustrated-total-internal-reflection structure composed of a single negative material.Acta Phys Sin,2006,Vol.55(06):2714-2719
[70]Dong Z G,Zhu S N,Liu H.Numerical simulations of negative-index refraction in a lamellar composite with alternating single negative layers.Chin Phys,2006,Vol.15(08):1772-1776
[71]Wang L G,Chen H,Zhu S Y.Wave propagation inside one-dimensional photonic crystals with single-negative materials.Phys Lett A,2006,Vol.350:410-415
[72]Hu XY,Liu Z,Gong QH.Tunable multichannel filter in photonic crystal heterostructure containing permeability-negative materials.Phys Lett A,2008,Vol.372:333-339
[73]Jiang H T,Chen H,Li H Q,et al.Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials.J Appl Phys,2005,Vol.98(1):013101-1-5
[74]Liu N H,Zhu S Y,Chen H,et al.Supeduminal pulse propagation through one-dimensional photonic crystals with a dispersive defect.Phys Rev E,2002,Vol.65(4):046607-1-8
[75]Amnon Yariv and Pochi Yeh,"Optical Waves in Crystals",Chap.6,p.155(Wiley,New York,1984).
[76]Qin Q,Lu H,Zhu S N,et al.Resonance transmission modes in dual-periodical dielectric multilayer films.Appl Phys Lett,2003,Vol.82(26):4654-4656
[77]Lee H Y,Yao T.Design and evaluation of omnidirectional one-dimensional photonic crystals J Appl Phys,2003,Vol.93(2):819-830
[78]Serebryannikov AE,Magath T,Schuenemann K.Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface.Phys Rev E,2006,Vol.74:066607
[79]S.O'Brien,J.B.Pendry.Magnetic activity at infrared frequencies in structured metallic photonic crystals.Journal of Physics:Condensed Matter,2002,Vol.14:6383-6394
[80].I.B.Pendry,David R.Smith.Reversing Light With Negative Refraction.Physics Today,2004,Vol.57(6):37-44
[81]Lee H Y,Makino H,Yao T,Tanaka A.Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55 μm.Appl Phys Lett,2002,Vol.819(24):4502-4504
[82]Wang L,Wang Z S,Wu Y G,et al.Enlargement of the nontransmission frequency range of multiple-channeled filters by the use of heterostructures J Appl Phys,2004,Vol.95(2):424-426
[83]Wang Z S,Wang L,Wu Y G,et al.Multiple channeled phenomena in heterostructures with defects mode.Appl Phys Lett,2004,Vol.84(10):1629-16101
[84]Lan S,Nishikawa S,Sugimoto Y,et al.Analysis of defea coupling in one- and two-dimensional photonic crystals.Phys Rev B,2002,Vol.65(16):165208-1-9
[85]Lee H Y,Yao T.Design and evaluation of omnidirectional one-dimensional photonic crystals.J Appl Phys,2003,Vol.93(2):819-830
[86]Smith D R.Kroll N.Negative Refractive Index in Left-Handed Materials Phys Rev Lett,2000,85(14):2933-2936
[87]Veselago V G.The electrodynamics of substances with simultaneously negative values of εand μ.Soy Phys Usp,1968,Vol.10(4):509-514
[88]Pendry J B.Negative Refraction Makes a Perfect Lens.Phys Rev Lett,2000,Vol.85(18):3966-3969
[89]Zhang H Y,Zhang Y P,Wang P,et al.Frequency response in photonic heterostructures consisting of single-negative materials.J Appl Phys,2007,Vol.101(1):0110111-1-3
[90]Wang S M,Tang C J,Pan T,et al.Bistability and gap soliton in one-dimensional photonic crystal containing single-negative materials.Physics Letters A,2006,Vol.348:424-4101
[91]Shang TY,Zhang HY,Zhang YP,et al.Omnidirectional single-negative gap and in fibonacci sequences composed of single-negative materials.International Journal of Infrared and Millimeter Waves,2007,Vol.28(8):671-676
[92]DENG X H,LIU N H.Tunable Pair Transmission in One-Dimensional Photonic Crystals Consisting of Single-Negative Materials Chinese Physics Letters,2007,Vol.24(11):10168- ! 0171
[93]Jiang H T,Chen H,Li H Q,et al.Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials.J Appl Phys,2005,Vol.98(1):013101-1-5
[94]Guan G S,Jiang H T,Li H Q,et al.Tunneling modes of photonic heterostructures consisting of single-negative materials.Appl Phys Lett,2006,Vol.88(21):211112-1-3
[95]贯国胜,王治国,含单负材料的光子晶体的紧束缚模型,周口师范学院学报,2006,Vol.23(5):52-54
[96]邓新华,刘念华,袁吉仁.一维单负材料光子晶体异质结构的隧穿模.中国有色金属学报,2007,V01.17(S1):185-189
[97]邓新华,刘念华.单负材料光子晶体中的可调共振隧穿模.福州大学学报(自然科学版),2007,Vol.35(Z1):49-52
[98]邓新华,刘念华.单负材料光子晶体共振隧穿特性.科学通报,2007,Vol.52(24):2821-2825
[2]Pendry J B,Hoiden A J,Stewart W J,et al.Extremely low frequency plasmons in metallic mesostructures.Phys Rev Lett,1996,Vol.76:4773-4776
[3]Pendry,J.B.,Holden,A.J.,Robbins,D.J.,and Stewart,W.J.Magnetism from conductors and enhanced nonlinear phenomena,IEEE Trans.Microw.Theory Tech.,1999,Voi.47:2075-2081
[4]Smith DR,Padilla Willie,Vier DC,et al.Composite Medium with Simultaneously Negative Permeability and Permittivity.Phys Rev Lett,2000,Vol.84(18):4184-4187
[5IRA Shelby,DR Smith,S Schultz.Experimental verification of a negative index of refraction.Science,2001,Vol.292:77-79
[6]C.G.Parazzoli,R.B.Greegor,K.Li,B.E.Koltenbah,and M.Tanielian.Experimental Verification and Simulation of Negative Index of Refraction Using Shell's Law.Phys.Rev.Lett.,2003,Vol.90:107401
[7]G.V.Eleftheriades,A.K.lyer and P.C.Kremer.Planar negative refractive index media using periodically L-C loaded transmission lines.IEEE Trans.on Microwave Theory and Tech.,2002,Vol.50(12):2702-2712
[8]L.Liu,C Christophe,C.Chin-Chang and I.Tatsuo.Forward coupling phenomena between artificial leg-handed transmission lines.J.Appl.Phys.,2002,Vol.92(9):5560-5565
[9]A.Grbic,G V.Eleftheriades,Experimental verification of backward wave radiation from a negative refractive index material,J.Appl.Phys.,2002,Vol.92,5930-5935
[10]A.Sanada,M.Kimura,I.Awal,C.Caloz,T.ltoh.A planar zeroth-order resonator antenna using a left-handed transmission line.34th European Microwave Conference,2004,1341-1344
[11]C.Caloz,A.Sanada,and T.ltoh.A novel composite right/left-handed coupled-line directional coupler with arbitrary coupling level and broad bandwidth.IEEE Trans.Microwave Theory Tech.,2004,Vol.52(3):980-992
[12]A.Sanada,C.Caloz,and T.Itoh.Planar distributed structures with negative refractive index.IEEE Transactions on Microwave Theory and Techniques,2004,Vol.52(4):1252-1263
[13]A.Sanada,C.Caloz,and T.ltoh.Characteristics of right/left-handed transmission lines.IEEE Microwave Wireless Compon.Lett.,2004,Vol.14:68-70
[14]A.Alu and N.Engheta.Pairing an epsilon-negative slab with a mu-negative slab:Resonance,tunneling and transparency.IEEE Trans.Antennas Propag.,2003,Vol.51(10):2558-2571
[15]J B Pendry.A Chirai Route to Negative Refraction.Science,2004,Vol.306:1353
[16IN.Engheta,A.Salandrino,A.Alu.Circuit elements at optical frequencies:nanoinductors,nanocapacitors,and nanoresistors.Phys.Rev.Lett.,2005,Vol.95:095504-1-3
[17]J.B.Pendry.Negative Refration Makes a Perfect Lens.Phys.Rev.Lett.,2000,Vol.85(18):3966-1969
[18]J B.Pendry and S A.Ramakrishna.Focusing light using negative refraction.J.Phys.:Condens.Matter,2003,Vol.15(37):6345-6364
[19]A.Grbic and G.V.Elefthefiades.Growing evanescent waves in negative-refractive-index transmission-line media.Appl.Phys.Lett.,2003,vol.82:1815-1817
[20]Z.Liu,N.Fang,T.J.Yen,X.Zhang.Rapid growth of evanescent wave by a silver superlens.Appl.Phys.Lett.,2003,Vol.83:5184-5186
[21]A.Grbic,G.V.Eleflhedades.Overcoming the Diffraction Limit with a Planar Left-Handed Transmission-Line Lens.Phys.Rev.Lett.,2004,Vol.92(11):117403-1-4
[22]N Fang,H Lee,C Sun et al.Sub-diffraction-limited optical imaging with a silver superlens.Sience,2005,Vol.308(5721):534-537
[23]J.Li,L.Zhou,C.T.Chart,and E Sheng.Photonic band gap from a stack of positive and negative index materials.Phys.Rev.Lett.,2003,Vol.90(8):083901-1-4
[24]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang and S.Y.Zhu.Omnidirectional gap and defect mode of one,dimensional photonic crystals containing negative-index materials.App.Phys.Lett,2003,Vol.83(26):5386-5388
[25]N.Engheta.An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability.1EEE Antennas Wireless Propagat.Lett.,2002,Vol.l:10-13
[26]Jiang T and Feng Y J.Transmission line realization of subwavelength resonator formed by a pair of conventional and LHM slabs.Journal of Zhejiang University - Science A,2006,Vol.7(1):76-78
[27]H.Q.Li,J.M.Hao,L.Zhou,Z.Y.Wei,L.K.Gong,H.Chen,and C.T.Chan.All-dimensional subwavelength cavities made with metamaterials.App.phys.Lett.,2006,Vol.89(10):104101
[28]J.B.Pendry,D.Schurig,and D.R.Smith.Controlling Electromagnetic Fields.Science,2006,Vol.312:1780-1782
[29]D.Schurig,J.J.Mock,B.J.Justice,S.A.Cummer,J.B.Pendry,A.E Starr,and D.R.Smith.Metamaterial Electromagnetic Cloak at Microwave Frequencies.Science,2006,Vol.314:977-980
[30]I.S.Nefedov and S.A.Tretyakov.Photonic band gap structure containing metamaterial with negative pcrmittivity and permeability.Phys.Rev.E,2002,Vol.66:036611-1-4
[31]L.Wu,S.He,and L.Chert.On unusual narrow transmission bands for a multi-layered periodic structure containing left-handed materials.Optics Express,2003,Vol.l l:1283-1290
[32]K.Y.Xu,X.G.Zheng,and W.L She.Properties of defect modes in one-dimensional photonic crystals containing a defect layer with a negative refractive index.Appl.Phys.Lett.,2004,Vol.85(25):6089
[33]D.Bria,B.D.Rouhani,A.Akjouj,L.Dobrzynski,J.E Vigneron,E.H.El Boudouti,and A.Nougaoui.Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials.Phys.Rev.E,2004,Vol.69(6):066613
[34]K.Y.Kim.Photon tunneling in composite layers of negative- and positive-index media.Phys.Rev.E,2004,Vol.70(4):047603-1-4
[351I.V.Shadrivov,A.A.Sukhorukov,and Y.S.Kivshar.Beam shaping by a periodic structure with negative refraction.Appl.Phys.Lea.,2003,Vol.82:3820-3822
[36]M.W.Feise,I.V.Shadrivov,and Y.S.Kivshar.Tunable transmission and bistability in left-handed band-gap structures.Appl.Phys.Lett.,2004,Vol.85:1451-1453
[371I.V.Shadrivov,N.A.Zharova,A.A.Zharov,and Y.S.Kivshar.Defect modes and transmission properties of.left-handed bandgap struetures.Phys.Rev.E,2004,Vol.70:046615-1-6.
[38]N.A.Zharova,I.V.Shadrivov,A.A.Zharov,and Yu.S.Kivshar.Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction.Opt.Express,2005,Vol.13:1291-1298
[391I.V.Shadrivov and Yu.S.Kivshar.Spatial solitons in nonlinear left-handed metamaterials.J.Opt.A-Pure Appl.Opt.,2005,Vol.7(s):68-72
[40]V S C Manga Rao and S Dutta Gupta.Subluminai and superluminal pulse propagation in a left-handed/right-handed periodic structure.J.Opt.A:Pure Appl.Opt.,2004,Vol.6:756-761
[41]J.Li,D.G.Zhao,and Z.Y.Liu.Zero-n,.photonic band gap in a quasiperiodic stacking of positive and negative refractive index matedais.Phys.Lett.A,2004,Vol.332:461-468
[42]D.R.Fredkin and A.Ron.Effectively lett-handed(negative index)composite material.Appl.Phys.Lett.,2002,Vol.81:1753
[43]Xiang Y J,Dai XY,Wen SC,et ai.Omnidirectionai and multiple-channeled high-quality filters of photonic heterostruetures containing single-negative materials.Journal of the Optical Society of America A,2007,Vol.24:30-34 1084-7529
[44]A.Lakhtakia and C.M.Krowne.Restricted equivalence of paired epsilon-negative and mu-negative layers to a negative phase-velocity material(alias left-handed material).Optik,2003,Vol.114(7):305-307
[45]A.Alu and N.Engheta.Guided modes in a waveguide filled with a pair of single-negative(SNG),double-negative(DNG),and/or double-positive(DPS)layers.IEEE Trans.Microw.Theory Tech.,2004,Vol.52(I):199-210
[46]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang,J.Zi,and S.Y.Zhu.Properties of one-dimensional photonic crystals containing single-negative rnatedais.Phys.Rev.E,2004,Vol.69(6):066607
[47]C.Caioz,and T.Itoh.A novel mixed conventional microstrip and composite right/left-handed backward-wave directional coupler with broadband and tight coupling characteristics.IEEE Mierow.Wirel.Compon.Lett.,2004,Vol.14(1):31-33
[48]L G Wang,H.Chen,S Y Zhu.Omindirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials.Phys.Rev.B,2004,Vol.70:245102-1-6
[49]J.Yoon,S.Song,C.-H.Oh,and P.-S.Kim.Backpropagating modes of surface polaritons on a cross-negative interface.Opt.Express,2005,Vol.13:417-427
[50]K.Y.Kim.Properties of photon tunneling through single-negative materials.Opt.Lett.,Vol.30: 430-432
[51]K.Y.Kim.Polarization-dependent waveguide coupling utilizing single-negative materials.IEEE Photonics Tech Lett.,2005,Vol.17(2):369-371
[52]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang.Omnidirectional Gaps of One-Dimensional Photonic Crystals Containing Single-Negative Materials.Chin.Phys.Lett.,2005,Vol.22(2):886-886
[53]H.T.Jiang,H.Chen,H.Q.Li,Y.W.Zhang,and S.Y.Zhu.Properties of one-dimensional photonic crystals containing single-negative materials.J.Appl.Phys.,2005,Vol.98:013101
[54]Chen YH.Defect modes merging in one-dimensional photonic crystals with multiple single-negative material defects.Appl.Phys.Lett.,2008,Vol.92:011925
[55]H.T.Jiang,H.Chen,S.Y.Zhu.Localized gap-edge fields of one-dimensional photonic crystals with an ε-negative and a μ-negative defect.Phys.Rev.E,2006,Vol.73:046601
[56]Y.H.Chert,.1.W.Dong and H.Z.Wang.Twin defect modes in one-dimensional photonic crystals with a single-negative defect.Appl.Phys.Lett,2006,Vol.89:141101
[57]Guan G S,Jiang H T,Li H Q,et al.Tunneling modes of photonic heterostructures consisting of single-negative materials.Appl Phys Lett,2006,Vol.88(21):211112-1-3
[58]邓新华,刘念华,刘根泉.单负材料异质结构光子晶体的频率响应.物理学报,2007,Vol.56(12):7280-7285
[59]DENG X H,LIU N H.Resonant tunneling properties of photonic crystals consisting of single-negative materials,Chinese Science Bulletin,2008,Vol.53(4):529-533
[60]M.Born and E.Wolf,Principles of Optics,7th(expanded)ed.Cambridge University Press,Cambridge,(1999)
[61]N H Liu,S.Y.Zhu,H Chen,and X Wu.Superluminal pulse propagation through one-dimensional photonic crystals with a dispersive defect.Phys.Rev.E,2002,Vol.65(4):046607
[62]P.Yeh,Optical Waves in Layered Media,John Wiley & Sons,New York,(1988)
[63]Smith D R,Kroll N.Negative refraction index in lefthanded.materials.Phys.Rev.Lett.,2002,Vol.85(14):2933-2936
[64]陈龙,何赛灵,沈林放.含负折射率介质的多层结构中倏逝波传播及隧道效应的分析.物理学报,2003,V01.52(10):2386-2392
[65]许静平、王立刚、羊亚平.利用含负折射率材料的光子镜头实现角度滤波器.物理学报,2006.V01.55(061:2765-2770
[66]X H Deng,N H Liu.Omnidirectional Reflection from Thue-morse Aperiodic One-dimensional Photonic Crystal With Dispersive Negative Materials.IEEE,2006,ISBN:0-7803-9773-8,P.521-524.
[67]Y.H.Chert,J.W.Dong,and H.Z.Wang.Omnidirectional resonance modes in photonic crystal heterostructures containing single-negative materials.J.Opt.Soc.Am.B,2006,Vol.23:2237-2240
[68]Fredkin D R,Ron A.Effectively left-handed(negative index)composite material.Appl Phys Lett, 2002,Vol.81(10):1753-1755
[69]Xiang Y J,Wen S C,Tang K S.Photon tunneling in a frustrated-total-internal-reflection structure composed of a single negative material.Acta Phys Sin,2006,Vol.55(06):2714-2719
[70]Dong Z G,Zhu S N,Liu H.Numerical simulations of negative-index refraction in a lamellar composite with alternating single negative layers.Chin Phys,2006,Vol.15(08):1772-1776
[71]Wang L G,Chen H,Zhu S Y.Wave propagation inside one-dimensional photonic crystals with single-negative materials.Phys Lett A,2006,Vol.350:410-415
[72]Hu XY,Liu Z,Gong QH.Tunable multichannel filter in photonic crystal heterostructure containing permeability-negative materials.Phys Lett A,2008,Vol.372:333-339
[73]Jiang H T,Chen H,Li H Q,et al.Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials.J Appl Phys,2005,Vol.98(1):013101-1-5
[74]Liu N H,Zhu S Y,Chen H,et al.Supeduminal pulse propagation through one-dimensional photonic crystals with a dispersive defect.Phys Rev E,2002,Vol.65(4):046607-1-8
[75]Amnon Yariv and Pochi Yeh,"Optical Waves in Crystals",Chap.6,p.155(Wiley,New York,1984).
[76]Qin Q,Lu H,Zhu S N,et al.Resonance transmission modes in dual-periodical dielectric multilayer films.Appl Phys Lett,2003,Vol.82(26):4654-4656
[77]Lee H Y,Yao T.Design and evaluation of omnidirectional one-dimensional photonic crystals J Appl Phys,2003,Vol.93(2):819-830
[78]Serebryannikov AE,Magath T,Schuenemann K.Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface.Phys Rev E,2006,Vol.74:066607
[79]S.O'Brien,J.B.Pendry.Magnetic activity at infrared frequencies in structured metallic photonic crystals.Journal of Physics:Condensed Matter,2002,Vol.14:6383-6394
[80].I.B.Pendry,David R.Smith.Reversing Light With Negative Refraction.Physics Today,2004,Vol.57(6):37-44
[81]Lee H Y,Makino H,Yao T,Tanaka A.Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55 μm.Appl Phys Lett,2002,Vol.819(24):4502-4504
[82]Wang L,Wang Z S,Wu Y G,et al.Enlargement of the nontransmission frequency range of multiple-channeled filters by the use of heterostructures J Appl Phys,2004,Vol.95(2):424-426
[83]Wang Z S,Wang L,Wu Y G,et al.Multiple channeled phenomena in heterostructures with defects mode.Appl Phys Lett,2004,Vol.84(10):1629-16101
[84]Lan S,Nishikawa S,Sugimoto Y,et al.Analysis of defea coupling in one- and two-dimensional photonic crystals.Phys Rev B,2002,Vol.65(16):165208-1-9
[85]Lee H Y,Yao T.Design and evaluation of omnidirectional one-dimensional photonic crystals.J Appl Phys,2003,Vol.93(2):819-830
[86]Smith D R.Kroll N.Negative Refractive Index in Left-Handed Materials Phys Rev Lett,2000,85(14):2933-2936
[87]Veselago V G.The electrodynamics of substances with simultaneously negative values of εand μ.Soy Phys Usp,1968,Vol.10(4):509-514
[88]Pendry J B.Negative Refraction Makes a Perfect Lens.Phys Rev Lett,2000,Vol.85(18):3966-3969
[89]Zhang H Y,Zhang Y P,Wang P,et al.Frequency response in photonic heterostructures consisting of single-negative materials.J Appl Phys,2007,Vol.101(1):0110111-1-3
[90]Wang S M,Tang C J,Pan T,et al.Bistability and gap soliton in one-dimensional photonic crystal containing single-negative materials.Physics Letters A,2006,Vol.348:424-4101
[91]Shang TY,Zhang HY,Zhang YP,et al.Omnidirectional single-negative gap and in fibonacci sequences composed of single-negative materials.International Journal of Infrared and Millimeter Waves,2007,Vol.28(8):671-676
[92]DENG X H,LIU N H.Tunable Pair Transmission in One-Dimensional Photonic Crystals Consisting of Single-Negative Materials Chinese Physics Letters,2007,Vol.24(11):10168- ! 0171
[93]Jiang H T,Chen H,Li H Q,et al.Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials.J Appl Phys,2005,Vol.98(1):013101-1-5
[94]Guan G S,Jiang H T,Li H Q,et al.Tunneling modes of photonic heterostructures consisting of single-negative materials.Appl Phys Lett,2006,Vol.88(21):211112-1-3
[95]贯国胜,王治国,含单负材料的光子晶体的紧束缚模型,周口师范学院学报,2006,Vol.23(5):52-54
[96]邓新华,刘念华,袁吉仁.一维单负材料光子晶体异质结构的隧穿模.中国有色金属学报,2007,V01.17(S1):185-189
[97]邓新华,刘念华.单负材料光子晶体中的可调共振隧穿模.福州大学学报(自然科学版),2007,Vol.35(Z1):49-52
[98]邓新华,刘念华.单负材料光子晶体共振隧穿特性.科学通报,2007,Vol.52(24):2821-2825