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提出用波传播法(Wave propagation method,WPM)来研究一维声子晶体的禁带特性,并将该方法与平面波展开法(Plane wave expansion,PWE)进行比较,发现PWE随着波数的增加而逐渐收敛于WPM的结果。将WPM应用于一维二元和一维四元声子晶体禁带特性的计算中,在相同计算精度下WPM的计算时间大约为PWE的1/50和1/100。当考虑到粘弹性材料的频变特性时,WPM能直接得到声子晶体的禁带特性,在相同的计算精度下WPM的计算量大约要比经过迭代改进的PWE的计算量小两个数量级。
It is proposed that the band gap characteristics of one-dimensional phononic crystals are studied by Wave Propagation Method (WPM), and compared with the Plane wave expansion (PWE) method. It is found that PWE increases with wave number Gradually converging to WPM results. When WPM is applied to the forbidden band characteristics of 1D and 1D four-dimensional phononic crystals, the calculation time of WPM is about 1/50 and 1/100 of that of PWE under the same calculation accuracy. When taking into account the frequency-dependent properties of viscoelastic materials, WPM can directly obtain the band gap characteristics of phononic crystals. The calculated amount of WPM is about two orders of magnitude less than the iteratively modified PWE with the same computational accuracy.