广义Fibonacci准周期结构声子晶体透射性质的研究

提出了一维广义Fibonacci准周期结构的声子晶体模型. 对弹性波通过该一维准周期结构声子晶体的透射系数进行数值计算，并与周期结构和标准Fibonacci准周期结构声子晶体的透射系数进行比较. 结果表明，利用一维广义Fibonacci准周期结构的声子晶体可获得比周期结构和标准Fibonacci准周期结构声子晶体更大的带隙范围，同时在带隙内有更丰富的局域模式存在. 对局域模性质的研究有助于声波或弹性波滤波器的制作. 关键词： 广义Fibonacci准周期结构 声子晶体 局域化

Transmission properties of the generalized Fibonacci quasi-periodical phononic crystal

In this paper, the model of a one-dimensional generalized Fibonacci quasi-periodical phononic crystal is firstly proposed, the transmission coefficients of the elastic waves through this 1D quasi-periodical phoninic crystal are numerically calculated, and the obtained transmission coefficients are compared with those of the phononic crystals with periodical structure and with normal Fibonacci structure. The results show that the band gap can also be found in the phononic crystals with the generalized Fibonacci quasi-periodical structure, and the frequency range of the gap is larger than that of both the periodical structure and the normal Fibonacci structure. However, there are more strongly localized resonant modes in the gap of the generalized Fibonacci quasi-periodical phononic crystals. This study to the localized modes is useful to the fabrication of the acoustic or elastic wave filters.