Waveguiding in supported phononic crystal plates
Waveguiding in supported phononic crystal plates
复制标题
支撑声子晶体板中的波导
DOI：
10.1088/1742-6596/92/1/012111
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Y. Pennec
中科院分区：
文献类型：
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作者：
J. Vasseur;A. Hladky;P. Deymier;B. Djafari;F. Duval;B. Dubus;Y. Pennec
我们借助有限元方法研究了独立式声子晶体板以及沉积在基底上的声子晶体薄板的能带结构中绝对带隙的存在性。二维声子晶体是由在有源压电（PZT5A或AlN）基体中钻出的正方形排列的孔洞构成。对于这两种基体材料，当板的厚度在晶格参数的数量级时，独立式板的能带结构中会出现绝对带隙。当板沉积在硅基底上时，如果声子晶体的基体由PZT5A制成，绝对带隙仍然存在。当由AlN制成的声子晶体板由硅基底支撑时，其带隙消失。对于PZT5A基体的情况，我们还研究了与在沉积的声子晶体板中移除一行空气孔所产生的线性缺陷相关的局域模式的可能性。
We investigate, with the help of the finite element method, the existence of absolute band gaps in the band structure of a free-standing phononic crystal plate and of a phononic crystal slab deposited on a substrate. The two-dimensional phononic crystal is constituted by a square array of holes drilled in an active piezoelectric (PZT5A or AlN) matrix. For both matrix materials, an absolute band gap occurs in the band structure of the free-standing plate provided the thickness of the plate is on the order of magnitude of the lattice parameter. When the plate is deposited on a Si substrate, the absolute band gap still remains when the matrix of the phononic crystal is made of PZT5A. The AlN phononic crystal plate losses its gap when supported by the Si substrate. In the case of the PZT5A matrix, we also study the possibility of localized modes associated with a linear defect created by removing one row of air holes in the deposited phononic crystal plate.