【摘要】 通过将二维任意形状散射体的声子晶体单元离散化,采用数值积分的方法,解决了其结构函数求解中的积分问题,从而改进了现有的平面波算法,使之能够计算二维任意单元结构正方晶格声子晶体的带结构.通过对比采用传统的以及本文中改进的平面波算法分别计算得到的规则单元结构声子晶体的带结构,验证了文中算法的正确性.采用文中改进的平面波算法,可方便地对二维声子晶体的单元结构进行拓扑优化,从而改进其带隙特性.更多还原

【Abstract】 With the discretization of one lattice with scatter in arbitrary shape inside two-dimensional phononic crystals,the integral problem in the calculation of structural functions is successfully solved with a numerical integral method.Thus,an improved plane-wave expansion method is proposed for the calculation of band structure in two-dimensional phononic crystals with lattice of scatters in arbitrary shape.Using traditional and improved plane-wave expansion method respectively,we calculate the band structures of same two-dimensional phononic crystals with regular unit structure.The two calculation results are in good agreement,which validates the correctness of our method.The special ability of the improved method will be especially helpful in the topological optimization of unit structure in phononic crystals.更多还原