利用转移矩阵和离散方法研究了密度正弦变化的一维声子晶体中弹性波的禁带.研究声明,密度按正弦规律变化的一维声子晶体中的弹性波会出现禁带.禁带频率的宽度随密度幅值的增加而增大,但密度幅值的变化对主禁带的频率中心没有影响.禁带的频率宽度和频率中心都随周期厚度呈反比变化.
Making use of the transfer matrix methods and discontinuous methods, the forbidden band of the elastic wave in phononic crystal which density change along with sine function is studied. A forbidden band of the elastic wave there is in phononic crystal which density change along with sine function. The frequency width of the forbidden band increases with the increment of the density amplitude, bat the density amplitude doesn't bring about influence on the frequency center of the forbidden band. The frequency width and center of the forbidden band decreases with the increment of the period thickness.
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