一維類週期結構聲子晶體中波傳行為之探討

Wave Propagation in One-Dimensional Phononic Crystal with Quasi-Periodic Structure

林則甫(Tze-Fu Lin) ； 張怡玲(I-Ling Chang)

《中華民國振動與噪音工程學會論文集》 2014 (2014/06) Pp. 144-150

摘要

本文將對類週期結構的一維聲子晶體的能帶結構作探討，先以轉移矩陣來模擬彈性波垂直入射一般的週期性結構，討論材料參數間的差異以及晶格厚度間的比例對能帶結構的影響，可以發現選用材料波速差異大或是改變其填充比例都可以增加其聲子能隙的寬度，接著再以不同的厚度調變方式觀察類週期性一維聲子晶體結構的波傳行為，並比較不同調變方式對能帶結構的影響。

關鍵字

類週期結構 ； 聲子晶體 ； 能帶結構 ； 轉移矩陣法 ； 厚度調變

並列摘要

In this research, we investigated the band structure of one-dimensional quasi-periodic phononic crystal using transfer matrix method. The elastic wave propagation inside both the periodic and quasi-periodic structure were simulated. The quasi-periodic structures with various thickness modulations were studied and the band structures were compared with the periodic one in order to understand the modulation effect. Meanwhile, the effects of material parameters and the filling ratios of lattice thickness on band structure were examined. It can be found that if we choose the materials with large difference on wave velocity, or change the filling ratio, the band gaps would change.

並列關鍵字

quasi-periodic structure ； phononic crystal ； band structure ； transfer matrix ； thickness modulation