可用于隔声和带隙调控的五模式超材料

为了利用在声学领域极具应用前景的双锥型五模式超材料进行隔声降噪,提出一种双锥宽直径不全同型五模式超材料.利用有限元方法分析了其声子能带结构、各波模相速度、品质因数随结构与材料参数的变化关系,在实用性和稳定性上与窄直径不同型五模式超材料作了比较.宽直径不全同型五模式超材料在保持原始五模式结构单模传输能带的前提下,还产生了更低频、宽带的三维完全带隙,且结构更稳定,重量更轻。双锥型五模式超材料在特定宽直径不同时具有三维完全带隙,品质因数主要由结构参数决定,各材料参数只是不同程度地影响带隙的绝对宽度和位置.研究结果表明双锥宽直径不全同型五模式超材料有望用于带隙调控和隔声。      

基于高折射率断环结构的全固光子带隙光纤的设计

设计了基于断环结构的全固光子带隙光纤,其背景材料为熔石英而断环结构由若干掺杂的高折射率介质柱构成.基于平面波展开法计算得到的态密度图和Bloch模场分布表明,该种光纤中的一个高阶带隙可以得到调节并被极大展宽,带隙调节的基本原理是断环可以同时控制包层介质柱的线偏振模式的角向和径向模式阶数.研究表明,断环中的介质柱数目决定了受影响最小的一组线偏振模式的最高角向阶数,而带隙宽度受介质柱尺寸影响很大.这一宽的高阶带隙可以用来设计带隙中心分别在800和1550 nm、带宽分别为488和944 nm的全固光子带隙光纤 关键词： 全固光子带隙光纤 光子带隙 光纤设计 平面波展开法     

局域共振型声学超材料薄板带隙特性的能量解法

研究局域共振型声学超材料的带隙特性时,面临的首要问题是寻求一种带隙特性的高效解法。为此,本文以局域共振型声学超材料薄板为研究对象,提出了一种基于能量泛函变分原理及正交多项式级数展开的带隙计算方法。该方法通过合并基体板及共振子的动、势能及外力功建立元胞的能量泛函,经过变分运算得到元胞的振动控制方程,进而引入第一类Chebyshev正交多项式作为基函数将控制方程进行离散。为克服无法直接对离散控制方程中的广义坐标施加周期边界条件的困难,该方法将连续边界条件弱化到若干选定的配点上以离散方式实现,并将对应的一组线性约束条件通过拉格朗日乘子法施加到系统中。仿真结果表明,该方法具有较高的计算精度和效率,并可应用于"局域共振子-夹层板"等复合结构的带隙特性研究。本文方法为局域共振型薄壁超材料的带隙求解提供了新的思路,丰富了声学超材料的振-声学理论,并为薄壁超材料的工程设计和优化提供了技术支撑。      

局域共振型声学超材料机理探讨

本文以二维固体薄板中的弹性波传播为例, 对基于共振子结构的声学超材料带隙机理进行了探讨, 证明在声学超材料中带隙形成既与共振子对波的散射相位有关, 也与波在共振体之间的几何传播相位有关. 通过调节散射相位和几何传播相位均能实现对色散关系的调控. 基于这一理解, 探究了弹性波超材料中的次波长缺陷态和负折射现象的实现条件.     

二维色散和各向异性磁化等离子体光子晶体色散特性研究

采用平面波展开法和时域有限差分法研究了二维色散和各向异性磁化等离子体光子晶体的色散特性.当波矢在周期平面时,由于外加磁场的作用使TE模的色散曲线出现两个不同区域的平带,改变磁场的大小不但可以控制平带的位置,而且可以控制光子带隙的位置和大小.增大背景材料的介电常数,可以形成全方向光子带隙,随着背景材料介电常数的增加,带隙的中心位置降低但带隙宽度增加.当波矢偏离周期平面时,色散曲线不再分为TE和TM模,随着非周期平面波矢的增加,带隙位置上移,带隙宽度先增加随后基本保持不变.     

暗声学超材料型充液管道的低频消声特性

充液管道低频声的有效吸收和消减一直是一个颇具挑战性的难题.受声学超材料理论启发,本文设计了一种沿管道轴向方向等距布置小体积声学短管的充液周期管道系统.该管道系统可以诱发声波传播超宽低频带隙的产生,使得声波在带隙频率范围内传播将被显著衰减,乃至无法透射,近乎被完全吸收,称为暗声学超材料型充液管道.进一步,揭示了暗声学超材料型充液管道中声传播带隙的产生机理、参数影响规律,研究了该波导管对低频噪声的降噪特性,初步探讨了工程实际可实现的暗声学超材料型充液管道的结构实现形式.研究成果有望为管道低频噪声控制提供一条新的技术途径.     

表面氢化双层硅烯的结构和电子性质

采用密度泛函理论(DFT)广义梯度近似GGA和HSB06方法研究了氢化双层硅烯(silicene)的结构和电子性质, 结果表明: 氢化后的双层硅烯可能存在三种稳定的构型, AA椅型、AB椅型和AA船型, 其中AA椅型和AB椅型结构最为稳定, 氢化后这三种稳定构型材料的性质由零带隙的半金属(semimetal)转变为禁带宽度分别为1.208, 1.437和1.111 eV 的间接带隙的半导体, 采用混合泛函HSB06计算修正得到的带隙分别为1.595, 1.785 和1.592 eV. 进一步分析了在双轴应变下氢化双层硅烯的带隙随应变的关系, 得到应变可以连续的调节材料的带隙宽度, 这些性质有可能应用于未来的纳米电子器件.     

各向异性三维非对称双锥五模超材料的能带结构及品质因数

五模超材料是一类可以解除剪切模量的人工固体微结构,具有类似流体的性质,在声波调控中有着潜在的应用.声学变换作为声波调控的一种重要手段,在超材料声学器件的设计中被广泛使用.声学变换的引入会压缩均匀各项同性五模超材料.因此,需要研究各向异性对三维非对称双锥五模超材料带隙及品质因数的影响.本文利用有限元方法,对各项异性三维非对称双锥五模超材料的能带结构及品质因数进行了研究.研究结果表明,三维非对称双锥五模超材料单模区域的相对带宽随着各向异性的增大而减小,第一带隙的相对带宽增大到123%,品质因数增大到6.9倍.本研究可为声学变换在三维非对称双锥五模超材料中的应用提供指导.     

短周期Ⅱ型InAs/GaSb超晶格中红外探测

文章研究了短周期InAs/GaSb(SLs)Ⅱ型超晶格的红外光电特性。研究发现将InAs/GaSb超晶格各层生长宽度调节在20/25左右,可以实现中红外波段的禁带宽度。我们发展了修正的八能带K.P模型计算了该超晶格系统的电子子带结构,模型充分考虑了生长层之间的界面效应。模型只需要微观界面效应这一个可调参数,就可以得到与实验结果符合的非常好的理论结果。研究发现将GaSb的厚度固定为24,InAs的厚度从23降到17时,SLs的带隙宽度可以从275 meV调节到346 meV;或者InAs的厚度为21,GaSb的厚度从18增加到27时,SLs的带隙宽度可以从254meV调至313meV。该理论研究证明短周期InAs/GaSbⅡ型SLs可以应用于带宽为3~5μm的中红外光电探测。     

二维复式晶格磁振子晶体的带隙结构

提出了一种复式晶格磁振子晶体的模型,该模型由两种铁磁材料散射体周期排列在另一种铁磁材料基底中构成.应用超原胞的思想拓展了平面波展开法,用于数值计算研究自旋波在复式晶格磁振子晶体中的本征性质本文数值计算了由两种大小不同的铁(Fe)-铁(Fe)圆柱体交替正方排列在氧化铕(EuO)基底材料中构成的二维复式晶格磁振子晶体的带结构,研究了带隙宽度随体积填充率的变化行为,并与同一铁(Fe)圆柱正方排列在氧化铕(EuO)基底材料中构成的简单晶格磁振子晶体的带隙结构随体积填充率的变化行为进行了比较.结果表明,利用复式晶格可以优化或调节自旋波带隙的宽度和频率位置.     

Temperature-controlled tunable acoustic metamaterial with active band gap and negative bulk modulus

The local resonant band gap and the negative bulk modulus of the acoustic metamaterial with Helmholtz resonators are strongly affected by the temperature of water. In this paper, the acoustic transmission line method (ATLM) is introduced to investigate the influences of the temperature of water on the local resonant band gap and the negative bulk modulus of the acoustic metamaterial. Results show that the relative variations of the local resonant band gap and the negative effective bulk modulus suffering from the change of the temperature of water are approximately equivalent and are up to about 11%. The reason is that the local resonant frequency is proportional to the sound speed of fluid which is strongly effects by the temperature of water. By achieving the unambiguous relationships between these unusual properties of the acoustic metamaterial and the temperature of water, we find that the temperature-controlled acoustic metamaterial with the active band gap and the active negative bulk modulus can be realized in theory. This idea opens a new avenue for the design of the tunable acoustic metamaterial that can modulate the acoustic wave propagation.     

Acoustic tunneling through artificial structures: From phononic crystals to acoustic metamaterials

We present a comparative study on the acoustic tunneling through artificial periodical composites, from phononic crystals to acoustic metamaterials. We find that the features of the acoustic tunneling are closely related with the origins of band gaps. In particular, the band gap associated with the negative effective material parameter in the metamaterial results in a better analog of the tunneling effect to the quantum system.     

Numerical study of a near-zero-index acoustic metamaterial

This Letter studies a two-dimensional, membrane-based acoustic metamaterial with a near-zero refractive index. It yields a frequency-dependent effective density that is near-zero at a narrow frequency band centered around its first resonant frequency. This effective density results in its near-zero refractive index. Numerical simulations are shown which demonstrate that the phase in this metamaterial undergoes small changes, and the metamaterial functions as an angular filter such that only a wave with a near-zero incident angle can transmit. Its ability to tailor acoustic phase pattern is also discussed in this Letter.     

Acoustic metamaterials for sound mitigation

We provide theoretical and numerical analyses of the behavior of a plate-type acoustic metamaterial considered in an air-borne sound environment in view of sound mitigation application. Two configurations of plate are studied, a spring-mass one and a pillar system-based one. The acoustic performances of the considered systems are investigated with different approaches and show that a high sound transmission loss (STL) up to 82 dB is reached with a metamaterial plate with a thickness of 0.5 mm. The physical understanding of the acoustic behavior of the metamaterial partition is discussed based on both air-borne and structure-borne approaches. Confrontation between the STL, the band structure, the displacement fields and the effective mass density of the plate metamaterial is made to have a complete physical understanding of the different mechanisms involved.     

Coupled-mode analysis for linear fiber Bragg grating made of metamaterial

We derive the coupled-mode equations for a metamaterial fiber Bragg gratings (FBGs). The coupled-mode theory describing wave propagation in periodic structures such as FBG is generalized for studying the transmission and reflection of electromagnetic waves through a FBG containing metamaterial layers. This approach shows that the band gap becomes broader in comparison with a conventional FBG. It is observed that the central frequency of the band gap has a shift in regard of changing metamaterial thickness. We verify this investigation through attaining the transmission and reflection spectra of a conventional FBG while we are setting related parameters. Furthermore, this proposed structure can be applied as a tunable filter.     

Interplay of local resonances and Bragg band gaps in acoustic waveguides with periodic detuned resonators

This letter is concerned with acoustic wave propagation and transmission in acoustic waveguides with periodically grafted detuned Helmholtz resonators. The interplay of local resonances and Bragg band gaps in such periodic systems is examined. It is shown that, when the resonant frequencies of the resonators are tuned close to a Bragg band gap, the behavior of the Bragg band gap can be affected dramatically. Particularly, by introducing appropriately tuned resonators, the bandwidth of a Bragg band gap can be reduced to zero, leading to a very narrow pass band with great wave attenuation performance near both band edges. The band formation mechanisms of such periodic waveguides are further examined, providing explicit formulae to locate the band edge frequencies of all the band gaps, as well as the conditions to achieve very narrow pass bands in such periodic waveguides.     

Flexural wave suppression by an acoustic metamaterial plate

A new acoustic metamaterial plate is presented for the purpose of suppressing flexural wave propagation. The metamaterial unit cell is made of a plate with a lateral local resonance (LLR) substructure which consists of a four-link mechanism, two lateral resonators and a vertical spring. The substructure presents negative Young’s modulus property in certain frequency range. We show theoretically and numerically that two large low-frequency band gaps are obtained with different formation mechanisms. The first band gap is due to the elastic connection with the foundation while the second is induced by the lateral resonances. Besides, four-link mechanisms can transform the flexural wave into the longitudinal vibration which stimulates the lateral resonators to vibrate and to generate inertial forces for absorbing the energy and thus preventing the wave propagation. Frequency response function shows that damping from the vertical spring has little influence on the band gaps, although the damping can smooth the variation of frequency response (see the dotted line in Figs. 10 and 11). Increasing the damping of the lateral resonators may broaden the second band gap but deactivate its effect. This study provides guidance for flexibly tailoring the band characteristics of the metamaterial plate in noise and vibration controls.     

三组元声子晶体中的缺陷态

运用基于平面波的超元胞方法，研究作为缺陷引入的第三组元材料(四氯化碳、水)对二维二组元声子晶体(水/水银，四氯化碳/水银)带结构的影响.结果表明，二组元声子晶体在引入第三组元点缺陷/线缺陷后，在原来的带结构中会出现缺陷态/带，原带隙的位置、宽度变化不大；缺陷态/带频率主要受第三组元材料物性参数的影响；这些缺陷态都是局域化的.因此，在具有宽带隙的二组元体系中引入适当的第三组元点缺陷/线缺陷，让缺陷态/带频率落在二组元体系的带隙中，就可以形成特殊的滤声态/波导态.声子晶体的这一特性对于声波/弹性波的传播和新的声学应用具有重要意义. 关键词： 声子晶体 三组元 点缺陷 线缺陷     

一维光子晶体斜入射波包的带隙结构

对波包的任意傅里叶分量进行坐标变换后,利用转移矩阵法推导出波包斜入射情形下一维光子晶体的色散关系表达式,利用色散关系曲线分析得出波包斜入射的第一带隙结构,与以往平面波的第一带隙结构不同,波包的带隙宽度小于平面波的带隙宽度,并且在位置上前者带隙包含在后者内部.比较了一维光子晶体分别在波包入射与平面波入射情形下带隙位置和宽度,分析了波包中心入射角的变化以及波包的角分布范围的变化对带隙结构的影响,得到了一维光子晶体对波包斜入射的带隙结构的基本特征,确定了计算波包带隙能够近似当作平面波处理的条件.研究表明,波包的带隙结构受入射角大小和波包角分布范围的影响.入射角越小,波包入射的带隙结构越接近平面波;波包的角分布范围越小,光子晶体对波包的带隙宽度和位置越接近平面波.     

一维光子晶体斜入射波包的带隙结构

对波包的任意傅里叶分量进行坐标变换后,利用转移矩阵法推导出波包斜入射情形下一维光子晶体的色散关系表达式,利用色散关系曲线分析得出波包斜入射的第一带隙结构,与以往平面波的第一带隙结构不同,波包的带隙宽度小于平面波的带隙宽度,并且在位置上前者带隙包含在后者内部.比较了一维光子晶体分别在波包入射与平面波入射情形下带隙位置和宽度,分析了波包中心入射角的变化以及波包的角分布范围的变化对带隙结构的影响,得到了一维光子晶体对波包斜入射的带隙结构的基本特征,确定了计算波包带隙能够近似当作平面波处理的条件.研究表明,波包的带隙结构受入射角大小和波包角分布范围的影响.入射角越小,波包入射的带隙结构越接近平面波;波包的角分布范围越小,光子晶体对波包的带隙宽度和位置越接近平面波.