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利用转移矩阵法计算了弹性波在大于全反射角入射一维声子晶体的透射率,结果发现:在入射角θ0为0.33 rad、0.4 rad、0.9rad、1.3rad附近都出现了明显的透射峰带,即在透射波中出现了全反射贯穿效应;其中在0.4 rad附近的这个透射峰带的频率范围小、峰值细密,可以利用它来实现多通道滤波。同时研究了贯穿效应随介质厚度和周期数的变化特征,发现贯穿效应具有优良的滤波特性。利用这些特性可以设计出结构简单、控制方便的新型一维声子晶体的滤波器。
The transmissivity of elastic wave incident on one-dimensional phononic crystals at full reflection angle is calculated by the transfer matrix method. The results show that there are obvious transmission peaks near the incident angle θ0 of 0.33 rad, 0.4 rad, 0.9 rad and 1.3 rad Band, that is, there is total reflection in the transmitted wave through effect; which in the 0.4 rad near the peak of the transmission band with a small frequency range, the peak fine, you can use it to achieve multi-channel filtering. At the same time, the variation of perforation effect with the thickness and number of cycles was studied. It was found that the perforation effect has excellent filtering characteristics. These features make it possible to design a simple, easy-to-control filter for new 1D phononic crystals.