金属光子晶体平板的超强透射及其表面等离子体共振

用全矢量的三维有限差分时域(finite-difference time-domain,简称FDTD)方法,研究了正方形单元结构金属光子晶体平板的增强传输效应以及局域性表面等离子体共振现象.这种增强效应来自于两个不同的等离子体共振机制：由长方形空气孔形成的局域波导共振以及由周期性结构引起的光子晶体共振效应.对于由长方形空气孔形成的局域波导共振模式,其等离子体波全部局域在整个长方形空气孔区域中.而由周期性引起的共振模式,其频率随着金属平板表面周期性的变化而变化,相应的等离子体波分布在长方形空气孔区域的两端.产生的表面等离子体都局域在长方形空气孔区域中,电场强度得到了显著的增强. 关键词： 光子晶体 金属平板 超强透射 表面等离子体     

聚合物波导型表面等离子体共振传感器的特性研究

基于表面等离子体共振理论,将SU-8作为波导芯层材料,以聚甲基丙烯酸甲酯(PMMA)为下包层材料,设计了一款聚合物波导型SPR传感器。理论计算了波导芯层折射率、被测物折射率、不同金属薄膜及其厚度等因素对表面等离子体共振曲线的影响。分析结果表明,在可测试范围内,被测物折射率越大,灵敏度越高;波导芯层折射率减小,共振峰向长波方向移动,被测物检测范围整体向折射率小的方向偏移,波导芯层折射率增大则相反。     

侧耦合谐振腔的多重独立可调谐Fano共振传感特性

基于表面等离极化激元在亚波长结构的传输特性,提出了一种含单挡板的金属-介质-金属(MIM)波导耦合双T型谐振腔的结构。在近场耦合作用下,单挡板形成的较宽连续态与单T型腔形成的较窄离散态,经过复杂的干涉相消形成非对称的双重Fano共振峰。基于耦合模理论,研究了单挡板MIM波导耦合单T型腔Fano共振的产生机理,并采用有限元分析法对该结构进行了模拟仿真。在此基础上,研究了含双T型腔结构的四重Fano共振形成过程,分析了上下T型腔结构参数对Fano共振峰的影响。结果表明,上下T型腔产生的Fano共振峰互不影响,且由单个T型腔可以实现两个Fano共振峰独立可调谐,故含金属挡板的MIM波导耦合双T型腔结构可以实现四个Fano共振峰独立可调谐。该结构可为差动传感器和波分复用器的设计提供有效的理论参考。     

亚波长介质光栅/MDM波导/周期性光子晶体中双重Fano共振的形成及演变规律分析

基于衍射原理和模耦合理论,提出了一种由亚波长介质光栅/金属-电介质-金属(metal-dielectric-metal,MDM)波导/周期性光子晶体组成的复合微纳结构.结合反射角谱深入分析了表面等离子激元的传输特性以及在固定波长下不同入射角时刻形成的双重Fano共振的产生机理.研究表明,双重Fano共振是由在亚波长介质光栅/MDM波导结合的上层结构中产生的独立可调的双离散态分别与在周期性光子晶体中形成的连续态相互耦合形成的.接着定量讨论了结构参数对双重Fano特性的影响,探究了双重Fano共振的演变规律.结果表明,改变结构参数可实现双Fano共振曲线和谐振角度之间的调谐,且在最优条件下,共振A区FR a和FR b的品质因数(figure of merit,FOM)可高达460.0和4.00×10~4,共振B区FR a和FR b的FOM值可高达269.2和2.22×10~4.该结构可为基于Fano共振的折射率传感器设计提供有效的理论参考.     

一种用于传感的多Fano通道高灵敏度MIM波导

提出了一种金属-绝缘体-金属波导结构,该结构由带有中央矩形空气路径的方形环谐振腔和带有挡板的总线波导组成。利用有限元法研究了该结构的磁场分布、透射特性和传感性能。仿真结果表明,谐振腔中的中央矩形空气路径可以改变表面等离极化激元在谐振腔中的传播路径,提供更多的等离子体共振模式。在所提出的结构中可以激发四重Fano共振,透射谱中形成一个滤波带。改变结构参数可以调节Fano共振的个数,最多可以获得6个Fano共振和两个滤波带,还可以对Fano共振的位置、强度以及滤波带的宽度进行灵活方便的调节。该结构的最大灵敏度和品质因数分别为3 028 nm/RIU和157.14,可用于制作多波段带阻滤波器和检测葡萄糖等液体浓度的传感器。     

镀膜相移长周期光纤光栅滤波特性

镀膜相移长周期光纤光栅(PS-LPFG)由于其结构及设计的灵活性可以改善光纤光栅的滤波特性。运用传输矩阵法,讨论了在镀膜PS-LPFG中不同位置引入单个相移、多个π相移时传输谱的滤波特性。研究发现,引入单个π相移时,会在谐振波长两侧出现两个新的阻带;引入多个π相移时,两个主阻带峰间隔随相移个数的增多而增大。进一步研究表明,薄膜厚度可以更灵活地调节镀膜PS-LPFG传输谱损耗峰的位置及损耗峰大小。随着薄膜厚度的增加,两损耗峰的位置向短波长方向移动,当薄膜厚度增大到一定值后,损耗峰位置向长波方向发生较大突变,同时损耗峰峰值急剧减小,随后损耗峰又将向短波方向移动且峰值逐渐增大。波长较大的损耗峰变化滞后于波长较小的损耗峰。     

Ag-Al纳米球二聚体的光学性质研究

金属纳米材料因其表面等离子体共振特性而备受关注。异质结构的金属纳米材料的光学特性相比于同质结构因其材料的不同破坏了原有结构的对称性,对称性的破坏将引起光学性质的改变,相邻两个颗粒之间的相互作用会产生Fano共振。Fano共振是由异质纳米结构的表面等离子体共振耦合引起的,通过合理地调控表面等离子体共振的耦合,将进一步调控Fano共振的强度同时促使异质结构的电场增强特性和辐射特性得到进一步优化。受金银等贵金属的带间跃迁影响,金属铝纳米材料成为研究紫外-近紫外光区的表面等离子体共振研究最佳选择。采用有限时域差分方法研究了Ag-Al纳米球二聚体的光学特性。研究了Ag和Al纳米球组成的二聚体的吸收光谱与入射光偏振方向、纳米球半径、颗粒间距和介质折射率等几何结构及物理参数的关系,并深入讨论了二聚体的局域场分布规律;讨论了获取更高效的Fano共振光谱的方法。由于材料的对称性被破坏,异质二聚体的光学性质与同质二聚体明显不同,Ag-Al异质纳米球二聚体呈现出在紫外和可见光区的双Fano共振现象。Ag-Al二聚体表面等离子体互相耦合引起Fano共振从而导致表面等离子体的共振抑制和增强。研究结果对在紫外-可见光区的表面等离子体应用、纳米光学器件的设计与开发及基于表面等离子体共振的表面增强光谱、生物传感和检测研究等有一定参考价值。     

银纳米颗粒及阵列光传输性质的理论研究

纳米颗粒及其阵列结构的光学性能与颗粒本身的表面等离子体共振及周期结构参数密切相关.本文根据Mie散射理论和多极子振荡理论,研究了光在银球型纳米颗粒及阵列中的传输性质.对于单个纳米颗粒,当颗粒半径小于50 nm时,消光峰由电偶极子共振产生;当半径大于50 nm时,除电偶极子振荡产生的消光峰外,在短波处将出现由电四极子共振产生的消光峰,且两种极子的共振频率随颗粒半径的增加而减小.由电偶极子共振产生的消光峰位置的理论计算结果与实验结果相符合.对于由球形颗粒组成的无限大二维周期阵列,消光峰主要由单个颗粒产生的消光峰和Wood-Rayleigh反常衍射造成的消光峰组成.通过控制纳米颗粒的尺寸、形状以及阵列的周期、排列方式,可以调节两种极子的共振峰位.本文的结果将对设计具有特定光学性能的纳米结构产生重要的实际意义.     

基于表面等离子激元波导透射性能的环形滤波器设计

当前对表面等离子体激元(SPP)耦合性能及其传播的研究已成为这一领域急需改进的课题。为了进一步使SPP纳米器件成为可能,利用SPP波导结构设计了一种表面等离子体激元环形滤波器,建立了SPP波导结构传输模型和金属光栅SPP传输模型。透射率仿真分析表明,透射率会随着金属薄膜厚度的变化而变化,当金属薄膜厚度降低时,透射带宽会明显变窄,且透射的峰值也会降低。滤波器结构仿真结果表明,滤波器具有很强的消光效果,在具有有效谐振频率的同时可以更好地实现阻碍非谐振频率。该研究对纳米等离子激元器件的实际应用具有一定的理论和实际意义。     

带有开口方环谐振腔的MIM波导的Fano谐振特性研究

本文设计了一种支持Fano谐振传输特性的金属-介质-金属(MIM)型表面等离子体光波导结构,该结构由带有枝节谐振腔的直波导和一个开口方环谐振腔组成。利用数值方法详细研究了Fano谐振传输特性对几何参数的依赖关系,并通过时域耦合模理论(CMT)对给定参数条件下的传输谱进行了拟合验证。同时,也对该结构在折射率传感器方面的应用进行了研究,通过计算介质折射率变化引起的Fano谐振峰的波长变化可以发现,传感器的灵敏度高达1500nm/RIU,品质因子超过1800。这种表面等离子体光波导结构在光子器件集成及纳米滤波器、快速光开关以及折射率传感器等领域有一定的应用前景。     

The surface plasmon resonance of metal-film nanohole arrays

In this paper we investigated the enhanced transmission and surface plasmon resonance through a thin gold film with a periodic array of subwavelength nanoholes. Both freestanding gold-film nanohole arrays and gold-film nanohole arrays deposited on a gallium arsenide (GaAs) substrate are considered. Periodic arrays of nanoholes exhibit two different surface plasmon resonance features: localized waveguide resonance and the well-recognized photonic crystal resonance. The tangential electric field component $Ey$ is nonzero only in the hole region for a freestanding gold-film nanohole array, but it can exist in the hole region and in the metallic region for a gold-film nanohole array deposited on a GaAs substrate.     

Waveguide modes of 1D photonic crystals in a transverse magnetic field

We analyze waveguide modes in 1D photonic crystals containing layers magnetized in the plane. It is shown that the magnetooptical nonreciprocity effect emerges in such structures during the propagation of waveguide modes along the layers and perpendicularly to the magnetization. This effect involves a change in the phase velocity of the mode upon reversal of the direction of magnetization. Comparison of the effects in a nonmagnetic photonic crystal with an additional magnetic layer and in a photonic crystal with magnetic layers shows that the magnitude of this effect is several times larger in the former case in spite of the fact that the electromagnetic field of the modes in the latter case is localized in magnetic regions more strongly. This is associated with asymmetry of the dielectric layers contacting with the magnetic layer in the former case. This effect is important for controlling waveguide structure modes with the help of an external magnetic field.     

Detailed study of the flat bands appeared in two-dimensional magnetic photonic crystals with square symmetry

By virtue of the efficiency of the Dirichlet-to-Neumann map method, the details of the band structure of a two-dimensional magnetic photonic crystal having a square array of parallel circular ferrite rods in air background influenced by an external static magnetic field applied in the rod direction has been investigated. We show that there are two sets of flat bands at the band structure of the system for TM-polarization. These flat bands are created around the magnetic surface plasmon frequency and frequency in which the magnetic permeability has singular value. For the frequency around the magnetic surface plasmon, the modes are highly localized at the interface of the cylindrical ferrite rods and air background and also by approaching the modes to the magnetic surface plasmon frequency the localization length decreases and the number of field's nodes increases considerably. Moreover, we realized that the modes with frequencies lying immediately below the singular value act similar to as resonance cavity modes created in a single metallic cylindrical waveguide.     

Applications of the finite difference mode solution method to photonic crystal structures

The finite difference waveguide mode solution method, which has been popularly employed in the study of waveguide modes on various optical and dielectric waveguides, is utilized to calculate the modal characteristics of photonic crystal fibers (PCFs) and planar photonic crystal waveguides and the band diagrams of two-dimensional photonic crystals. Vector guided modes on both PCFs based on the total internal reflection guiding mechanism ('holey fibers') and those resulting from photonic band gap effect are accurately computed, with their effective indexes and field distributions compared with other methods. Calculated dispersion of a single-core holey fiber and coupled-power behavior of a two-core holey fiber are found to agree with measured results. For applications to band diagram calculation and planar photonic crystal waveguide analysis, the finite difference scheme is modified simply by imposing suitable periodic boundary condition. Numerical results for air-column crystals and dielectric-rod crystals are both found to agree well with calculations using other methods.     

Homogenization of 3D finite photonic crystals with heterogeneous permittivity and permeability

We consider a heterogeneous magneto-dielectric photonic crystal and derive the so-called ‘homogenized Maxwell system’ via the multi-scale method and provide ad hoc proofs for the convergence of the electromagnetic field towards the homogeneous one using the notion of two-scale convergence. The homogenized medium is described by anisotropic matrices of permittivity and permeability, deduced from the resolution of two annex problems of electrostatic type on a periodic cell. Noteworthily, this asymptotic analysis also covers the case of photonic crystals with non-cuboidal periodic cells. We solve numerically the associated system of partial differential equations with a method of fictitious charges and a finite element method (FEM) in order to exhibit the matrices of effective permittivity and permeability for given magneto-dielectric periodic composites. We then compare our results in the 2D case against some Fourier expansion approach and provide duality relations in the case of magneto-dielectric checkerboards. We further compute some low-frequency eigenmodes of a photonic crystal fiber with metallic outer boundary and compare them with the eigenmodes of a corresponding effective anisotropic waveguide, thanks to the FEM. Finally, we derive the effective properties of a 3D photonic crystal both through classical homogenization (solving numerically two decoupled annex problems) and Bloch wave homogenization. In the case of spherical inclusions, the latter approach amounts to evaluating the slope of the first band around the origin on a Bloch diagram which we compute using finite edge elements.     

One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal

We demonstrate theoretically the existence of one-way electromagnetic modes in a waveguide formed between a semi-infinite photonic crystal structure and a semi-infinite metal region under a static magnetic field. Such a waveguide provides a frequency range where only one propagating direction is allowed. In this frequency range, disorder-induced scattering is completely suppressed. Such a waveguide also modifies the basic properties of waveguide-cavity interaction.     

Omnidirectional reflection from the one-dimensional photonic crystal containing anisotropic left-handed material

We study the transmission properties in the one-dimensional photonic crystal containing alternate anisotropic left-handed material (LHM) layers and regular isotropic right-handed material (RHM) layers. For such an anisotropic case, the dispersion relation from the Bloch theorem is derived and the Bragg gaps of the periodic structure are observed. It is found that in the m=0 Bragg gap, there is an omnidirectionally reflectional (ODR) region, which is also invariant with a change of scale length, similar with the [`(n)]=0\bar{n}=0 gap in isotropic one-dimensional photonic crystal. With the aid of effective medium theory (EMT), the analytic expressions of all six elements of the effective electric permittivity tensor and magnetic permeability tensor are obtained. By using these results, we investigate the ODR region in the m=0 Bragg gap in all the possible cases of both TE and TM modes. We find that with different choices of parameters, the m=0 Bragg gap has different transmission properties, and the ODR region in it changes, consequently. The edges of the ODR region are given out in these cases. To one's interest, these results predict a complete reflection region in the m=0 Bragg gap, which is able to omnidirectionally reflect waves in both TE and TM modes.     

Magnetically Tunable Terahertz Switch and Band-Pass Filter

A novel design of a tunable terahertz switch and band-pass filter using liquid-crystal-filled photonic crystal waveguide is demonstrated. The effects of magnetic field on the photonic bandgaps and transmitting properties of a THz wave are investigated by using the plane wave expansion method and finite difference time domain method. The efficient photonic bandgap tuning is predicted such that the two-dimensional liquid-crystal-filled photonie crystal waveguide can serve as a switch and continuously tunable band-pass filter with controlling of the magnetic field.     

全矢量有限元模型及其在光波导中的应用

为了研究光波导和光子晶体光纤的模式特性和传输特性,从矢量波动方程出发,推导出了各向异性介质中场微分方程复数泛函表达式,利用棱边/节点混合元离散了该泛函,加入了各向异性介质匹配层边界条件,得到关于传播常量的广义特征值方程.以矩形波导为例,对各向异性介质匹配层边界条件的吸收特性进行了研究,得到了基模以及几个高阶模的场分布、色散曲线和损耗曲线.结果表明该方法可靠有效.对正六边形晶格光子晶体光纤进行了分析.数据表明：光纤有效折射率随空气孔直径或波长的增大而减小,但与空气孔圈数无关;光纤限制损耗(confinement loss)随波长增大近似成指数增大,而增加空气孔直径或者空气孔圈数则可使之显著降低.