共查询到19条相似文献,搜索用时 156 毫秒
1.
本文讨论了平板式光子晶体能带结构的计算方法,并利用平面波展开法研究了聚苯乙烯材料制作的平板式光子晶体的能带结构与晶格类型、填充比两个主要结构参数之间的关系.计算给出了晶格类型及填充比发生变化时光子禁带的变化规律.研究发现,当填充比(r/a)介于0.1~0.5之间时,四边形晶格结构和六角形晶格结构奇模和偶模均存在光子带隙,蜂窝状晶格只有偶模存在光子带隙,而且只有当填充比r/a〉0.46时才出现光子带隙.本文所得结果对聚苯乙烯光子晶体的制作和进一步应用研究奠定了理论依据. 相似文献
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本文讨论了平板式光子晶体能带结构的计算方法,并利用平面波展开法研究了聚苯乙烯材料制作的平板式光子晶体的能带结构与晶格类型、填充比两个主要结构参数之间的关系.计算给出了晶格类型及填充比发生变化时光子禁带的变化规律.研究发现,当填充比(r/a)介于0.1~0.5之间时,四边形晶格结构和六角形晶格结构奇模和偶模均存在光子带隙,蜂窝状晶格只有偶模存在光子带隙,而且只有当填充比r/a>0.46时才出现光子带隙.本文所得结果对聚苯乙烯光子晶体的制作和进一步应用研究奠定了理论依据. 相似文献
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以二维钢/气体系声子晶体为模型,采用平面波法研究了圆柱正方及六角晶格中心添加插入体的对称性及取向与带隙的关系,给出了四方、六方、八方及圆柱插入体结构的带隙分布图及带隙随柱体取向的变化关系图.发现在低填充率条件下,插入体的截面形状与晶格类型相同时最有利于能带简并态的分离而获得带隙,但填充率较高时,采用高对称性的插入体可以获得最宽的带隙.正方晶格中心插入体取向对带隙的影响要比在六角晶格中更为显著.对四方柱正方晶格声子晶体的研究表明,仅旋转原柱体要比在其中心插入柱体后旋转更容易获得低频宽带隙,单独运用添加柱体或旋转非圆柱体来降低晶格对称性以获取低频带隙的方法要比同时使用两种方法效果更好.此外,从机理上对计算结果进行了解释. 相似文献
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利用MPB软件和MEEP软件对一维光子晶体带隙结构及透射谱进行了仿真与实验研究.讨论了不同介质填充比和介质相对介电常数对光子晶体带隙结构的影响.仿真结果表明,当高相对介电常数介质的填充比增大时,或高相对介电常数增大时,光子晶体带隙的中心频率缓慢减小,带隙宽度呈先增大后减小的趋势,存在一极大值点.采用高相对介电常数介质薄板[钛酸钡(BaTiO<,3>)粉末混合聚二甲基硅氧烷(PDMS)胶体]和泡沫薄板周期性排列组成一维光子晶体.实验上制得了高低介质相对介电常数分别为4.5和1,填充比为1:1,晶格常数为10 mm,周期数为5的光子晶体,并测量出该光子晶体的微波透射谱.测量结果表明,在8~12 GHz的微波频段,该光子晶体的带隙中心频率为9.3 GHz,带隙宽度为500 MHz. 相似文献
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介绍了平面波算法计算声子晶体带结构的分析过程,计算了二维双组分液相体系声子晶体的带结构.结果表明,四氯化碳/水银体系比水银/四氯化碳体系更容易产生带隙.随分散相填充分数f的增加,四氯化碳/水银体系声子晶体带隙宽度ΔΩ先增加,后减小,当f=0229时,有最大值ΔΩ=0549;水银/四氯化碳体系的带隙宽度一直增大,当f=0554时,有最大值ΔΩ=0515;f一定时,改变分散相单元的几何尺寸和点阵常数,带隙宽度ΔΩ保持不变.
关键词:
声子晶体
声子带隙
平面波算法
带结构 相似文献
6.
采用平面波展开法对二维光子晶体分别在E和H极化下的带隙进行了计算. 考虑了填充比、晶格结构、介电常数对最大绝对帯隙的影响. 结果表明,不论是正方晶格还是三角晶格,TM模在介质柱型光子晶体中更容易形成带隙;TE模在空气孔型光子晶体中更容易形成带隙. 填充比一定,最大绝对帯隙宽度并非随着介电常数增大总是增大,而是存在一个峰值. 相对介电常数一定,最大绝对帯隙宽度随填充比的变化也存在一个峰值. 不论空气孔型还是介质柱型结构,三角晶格比正方晶格更容易形成帯隙.
关键词:
平面波展开法
TE模
TM模
最大绝对帯隙 相似文献
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《广西物理》2017,(3)
用有限时域差分方法(FDTD)对比研究了下列二维光子晶体的带隙:第1组,半径r=0.2μm圆柱,折射率n=4,晶格常数a=0.4μm;第2组,半径为r=0.2μm圆柱,折射率n=4,晶格常数a=0.6μm;第3组,内半径r_1=0.1μm,外半径r_2=0.2μm,折射率n=4,晶格常数a=0.4μm;第4组,内半径r_1=0.1μm,外半径r_2=0.2μm,折射率n=4,晶格常数a=0.6μm,并且对每一组光子晶体进行挖孔操作,然后比较不同填充率对光子晶体材料的带隙的影响,以及同种材料和结构、挖孔对带隙的影响。对于紧密排列的二维光子晶体,挖孔会使带隙向长波方向移动;对于填充率小的光子晶体,或者环形柱二维光子晶体,中间挖孔不影响带隙的范围。 相似文献
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声子晶体管路的带隙特性,可以实现管路系统在特定频率下的噪声控制.利用二维模态匹配法推导出单个内插扩张室元胞的传递矩阵,结合Bloch定理,得到声子晶体管路的能带结构计算方法;验证了二维方法在计算能带结构时的准确性.研究发现,内插扩张室声子晶体管路存在布拉格带隙和局域共振带隙.进一步研究了晶格常数以及内插管长度对能带结构的影响,结果表明,晶格常数主要控制布拉格带隙,而内插管长度对局域共振带隙有较大的影响,并研究了两种参数变化下的带隙耦合.研究结果可以为管路降噪设计提供新的思路. 相似文献
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本文利用集中质量法对弹性纵波在一维指数形截面有限周期声子晶体中的传播进行了研究, 得到了频率响应函数的表达式. 与一维等截面的声子晶体相比, 指数形变截面声子晶体带隙内的衰减值随着输出端截面积的增大而减小, 同时带隙的起始频率降低而截止频率升高, 也即带隙的宽度会得到拓展. 晶格常数和材料组份比变化时, 变截面声子晶体带隙的起始频率和截止频率的变化趋势与等截面时的声子晶体相同. 希望本文的研究能够推动声子晶体在减振降噪等领域中的应用. 相似文献
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Using a periodic expansion by means of the Bloch theorem, the flexural vibration band gaps are studied in a thin plate with two-dimensional ternary locally resonant structures, i.e. a thin epoxy plate containing a periodic square array of lead discs hemmed around by rubber. The full band gaps of flexural vibration in the thin plate are obtained within which sound and vibration will be forbidden. The numerical results are used to show how the width of the first full band gap depends on the radius ratio of lead disc to hemmed disc, filling fraction, lattice constant (distance between the centers of the nearest lead discs) and thickness of the thin plate. It is observed that the gap width can be changed a lot by modulating these physical parameters. 相似文献
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The propagation of coupled flexural-torsional vibration in the
periodic beam including warping effect is investigated with the
transfer matrix theory. The band structures of the periodic beam,
both including warping effect and ignoring warping effect, are
obtained. The frequency response function of the finite periodic
beams is simulated with finite element method, which shows large
vibration attenuation in the frequency range of the gap as expected.
The effect of warping stiffness on the band structure is studied and
it is concluded that substantial error can be produced in high
frequency range if the effect is ignored. The result including
warping effect agrees quite well with the simulated result. 相似文献
14.
运用波传播法对有限和无限周期对边简支复合板的振动带隙衰减特性进行了研究.在建立相邻板结构边界连续方程的基础上, 分别运用传递矩阵和Bloch定理建立了有限和无限周期复合板的耦合运动方程, 并详细对比分析了有限和无限周期复合板带隙衰减特性的关联关系.研究表明: 周期板结构的振动带隙频率范围与激励方式和激励位置是相关的, 若周期复合板在宽度方向按某阶模态进行线激励, 则该激励下的振动带隙与无限周期复合板在该阶模态下的振动带隙是一致的; 若周期板在点激励作用, 则该点激励下的振动带隙是参与振动的各阶模态振动带隙的交集. 此外, 还进一步研究了结构阻尼对振动衰减带隙的影响.
关键词:
周期复合板
带隙衰减特性
波传播法
结构阻尼 相似文献
15.
Michael J. Leamy 《Journal of sound and vibration》2012,331(7):1580-1596
This paper presents an exact, wave-based approach for determining Bloch waves in two-dimensional periodic lattices. This is in contrast to existing methods which employ approximate approaches (e.g., finite difference, Ritz, finite element, or plane wave expansion methods) to compute Bloch waves in general two-dimensional lattices. The analysis combines the recently introduced wave-based vibration analysis technique with specialized Bloch boundary conditions developed herein. Timoshenko beams with axial extension are used in modeling the lattice members. The Bloch boundary conditions incorporate a propagation constant capturing Bloch wave propagation in a single direction, but applied to all wave directions propagating in the lattice members. This results in a unique and properly posed Bloch analysis. Results are generated for the simple problem of a periodic bi-material beam, and then for the more complex examples of square, diamond, and hexagonal honeycomb lattices. The bi-material beam clearly introduces the concepts, but also allows the Bloch wave mode to be explored using insight from the technique. The square, diamond, and hexagonal honeycomb lattices illustrate application of the developed technique to two-dimensional periodic lattices, and allow comparison to a finite element approach. Differences are noted in the predicted dispersion curves, and therefore band gaps, which are attributed to the exact procedure more-faithfully modeling the finite nature of lattice connection points. The exact method also differs from approximate methods in that the same number of solution degrees of freedom is needed to resolve low frequency, and arbitrarily high frequency, dispersion branches. These advantageous features may make the method attractive to researchers studying dispersion characteristics, band gap behavior, and energy propagation in two-dimensional periodic lattices. 相似文献
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夹心式换能器应用极为广泛,但当其横向尺寸过大时,存在耦合振动,影响其辐射面的位移分布.本文通过在大尺寸夹心式换能器的前盖板中加工周期排列的槽,来形成一种二维声子晶体结构.随后,采用有限元法对基于二维声子晶体的大尺寸夹心式换能器的振动传输特性、共振频率以及发射电压响应进行仿真模拟,讨论了开槽高度和开槽宽度对其带隙、共振与反共振频率、带宽以及辐射面位移分布的影响.研究结果表明,通过在大尺寸夹心式换能器中应用声子晶体结构可对其进行优化设计.当大尺寸夹心式换能器的工作频率位于其带隙范围内时,二维声子晶体结构能有效地抑制其横向振动,从而改善换能器辐射面位移分布的均匀程度.此外,在大尺寸夹心式换能器的前盖板中加工二维声子晶体结构,能有效提升换能器的带宽,进而拓宽大尺寸夹心式换能器的工作频带. 相似文献
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The propagation of triply coupled vibrations in a periodic, nonsymmetrical and axially loaded thin-walled Bernoulli–Euler beam composed of two kinds of materials is investigated with the transfer matrix method. The cross-section of the beam lacks symmetrical axes, and bending vibrations in the two perpendicular directions are coupled with torsional vibrations. Furthermore, the effect of warping stiffness is included. The band structures of the periodic beam, both including and excluding the warping effect, are obtained. The frequency response function of the finite periodic beam is simulated with the finite element method. These simulations show large vibration-based attenuation in the frequency range of the gap, as expected. By comparing the band structure of the beam with plane wave expansion method calculations that are available in the literature, one finds that including the warping effect leads to a more accurate simulation. The effects of warping stiffness and axial force on the band structure are also discussed. 相似文献
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采用平面波展开法数值计算了空气背景中由圆形、正六边形和正方形介质柱构造的二维三角晶格光子晶体禁带结构,并研究了介质方柱旋转角度、介质折射率和填充比对完全光子禁带宽度的影响.结果表明,在低频区,介质方柱旋转17°时,出现最大完全光子禁带,且最大禁带宽度随介质折射率的变化较为稳定.在高频区,介质方柱旋转30°时,完全光子禁带宽度最大;且介质材料折射率n=2.2时即出现完全光子禁带,n=2.6时,完全光子禁带达到最大. 相似文献